TSTP Solution File: RNG121+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG121+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.cOvtvJsDno true
% Computer : n002.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 249.89s 42.34s
% Output : Refutation 249.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 32
% Syntax : Number of formulae : 71 ( 18 unt; 20 typ; 0 def)
% Number of atoms : 137 ( 30 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 456 ( 58 ~; 54 |; 20 &; 312 @)
% ( 7 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 9 con; 0-5 aty)
% Number of variables : 74 ( 0 ^; 69 !; 5 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
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(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(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $i > $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(mDefPrIdeal,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ! [W1: $i] :
( ( W1
= ( slsdtgt0 @ W0 ) )
<=> ( ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
<=> ? [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W3 )
= W2 )
& ( aElement0 @ W3 ) ) ) ) ) ) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( slsdtgt0 @ X0 ) )
| ( aSet0 @ X1 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrIdeal]) ).
thf(zip_derived_cl122,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( aSet0 @ ( slsdtgt0 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl92]) ).
thf(mMulUnit,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz10 )
= W0 )
& ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz10 )
= X0 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulUnit]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( slsdtgt0 @ X0 ) )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( aElement0 @ X3 )
| ( ( sdtasdt0 @ X0 @ X3 )
!= X2 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrIdeal]) ).
thf(zip_derived_cl201,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X0 )
| ( ( sdtasdt0 @ X0 @ X1 )
!= X2 )
| ~ ( aElement0 @ X1 )
| ( aElementOf0 @ X2 @ ( slsdtgt0 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl258,plain,
! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ~ ( aElement0 @ X0 )
| ( aElementOf0 @ X1 @ ( slsdtgt0 @ X0 ) )
| ~ ( aElement0 @ sz10 )
| ~ ( aElement0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl201]) ).
thf(mSortsC_01,axiom,
aElement0 @ sz10 ).
thf(zip_derived_cl2,plain,
aElement0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl265,plain,
! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ~ ( aElement0 @ X0 )
| ( aElementOf0 @ X1 @ ( slsdtgt0 @ X0 ) )
| ~ ( aElement0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl258,zip_derived_cl2]) ).
thf(zip_derived_cl266,plain,
! [X0: $i,X1: $i] :
( ( aElementOf0 @ X1 @ ( slsdtgt0 @ X0 ) )
| ~ ( aElement0 @ X0 )
| ( X0 != X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl265]) ).
thf(zip_derived_cl272,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( aElementOf0 @ X0 @ ( slsdtgt0 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl266]) ).
thf(m__2203,axiom,
( ( aElementOf0 @ xb @ ( slsdtgt0 @ xb ) )
& ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xb ) )
& ( aElementOf0 @ xa @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xa ) ) ) ).
thf(zip_derived_cl103,plain,
aElementOf0 @ sz00 @ ( slsdtgt0 @ xa ),
inference(cnf,[status(esa)],[m__2203]) ).
thf(mAddZero,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( X0
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(mDefSSum,axiom,
! [W0: $i,W1: $i] :
( ( ( aSet0 @ W1 )
& ( aSet0 @ W0 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtpldt1 @ W0 @ W1 ) )
<=> ( ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
<=> ? [W4: $i,W5: $i] :
( ( aElementOf0 @ W4 @ W0 )
& ( aElementOf0 @ W5 @ W1 )
& ( ( sdtpldt0 @ W4 @ W5 )
= W3 ) ) )
& ( aSet0 @ W2 ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [W5: $i,W4: $i,W3: $i,W1: $i,W0: $i] :
( ( zip_tseitin_2 @ W5 @ W4 @ W3 @ W1 @ W0 )
<=> ( ( ( sdtpldt0 @ W4 @ W5 )
= W3 )
& ( aElementOf0 @ W5 @ W1 )
& ( aElementOf0 @ W4 @ W0 ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ~ ( aElementOf0 @ X1 @ X4 )
| ~ ( aElementOf0 @ X0 @ X3 )
| ( ( sdtpldt0 @ X1 @ X0 )
!= X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 != X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aElementOf0 @ X0 @ X2 )
| ~ ( aElementOf0 @ sz00 @ X3 )
| ( zip_tseitin_2 @ X0 @ sz00 @ X1 @ X2 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl34]) ).
thf(zip_derived_cl2109,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_2 @ X2 @ sz00 @ X2 @ X1 @ X0 )
| ~ ( aElementOf0 @ sz00 @ X0 )
| ~ ( aElementOf0 @ X2 @ X1 )
| ~ ( aElement0 @ X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl938]) ).
thf(zip_derived_cl2126,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElementOf0 @ X0 @ X1 )
| ( zip_tseitin_2 @ X0 @ sz00 @ X0 @ X1 @ ( slsdtgt0 @ xa ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl2109]) ).
thf(zip_derived_cl3162,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( zip_tseitin_2 @ X0 @ sz00 @ X0 @ ( slsdtgt0 @ X0 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElement0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl2126]) ).
thf(zip_derived_cl3192,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 @ sz00 @ X0 @ ( slsdtgt0 @ X0 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElement0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3162]) ).
thf(zf_stmt_1,type,
zip_tseitin_2: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [W0: $i,W1: $i] :
( ( ( aSet0 @ W0 )
& ( aSet0 @ W1 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtpldt1 @ W0 @ W1 ) )
<=> ( ( aSet0 @ W2 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
<=> ? [W4: $i,W5: $i] : ( zip_tseitin_2 @ W5 @ W4 @ W3 @ W1 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 )
| ~ ( zip_tseitin_2 @ X2 @ X3 @ X4 @ X1 @ X0 )
| ( aElementOf0 @ X4 @ X5 )
| ( X5
!= ( sdtpldt1 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( aElementOf0 @ X2 @ ( sdtpldt1 @ X1 @ X0 ) )
| ~ ( zip_tseitin_2 @ X4 @ X3 @ X2 @ X0 @ X1 )
| ~ ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl202839,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aSet0 @ ( slsdtgt0 @ xa ) )
| ~ ( aSet0 @ ( slsdtgt0 @ X0 ) )
| ( aElementOf0 @ X0 @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3192,zip_derived_cl334]) ).
thf(zip_derived_cl122_001,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( aSet0 @ ( slsdtgt0 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl265537,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ X0 ) ) )
| ~ ( aSet0 @ ( slsdtgt0 @ xa ) )
| ~ ( aElement0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl202839,zip_derived_cl122]) ).
thf(zip_derived_cl265538,plain,
! [X0: $i] :
( ~ ( aElement0 @ xa )
| ~ ( aElement0 @ X0 )
| ( aElementOf0 @ X0 @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl265537]) ).
thf(m__2091,axiom,
( ( aElement0 @ xb )
& ( aElement0 @ xa ) ) ).
thf(zip_derived_cl95,plain,
aElement0 @ xa,
inference(cnf,[status(esa)],[m__2091]) ).
thf(zip_derived_cl265539,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( aElementOf0 @ X0 @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl265538,zip_derived_cl95]) ).
thf(m__,conjecture,
aElementOf0 @ xb @ xI ).
thf(zf_stmt_3,negated_conjecture,
~ ( aElementOf0 @ xb @ xI ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl121,plain,
~ ( aElementOf0 @ xb @ xI ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(m__2666,axiom,
( ( ( iLess0 @ ( sbrdtbr0 @ xr ) @ ( sbrdtbr0 @ xu ) )
| ( xr = sz00 ) )
& ( xb
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ xu ) @ xr ) )
& ( aElement0 @ xr )
& ( aElement0 @ xq ) ) ).
thf(zip_derived_cl116,plain,
( xb
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ xu ) @ xr ) ),
inference(cnf,[status(esa)],[m__2666]) ).
thf(zip_derived_cl128,plain,
~ ( aElementOf0 @ ( sdtpldt0 @ ( sdtasdt0 @ xq @ xu ) @ xr ) @ xI ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl116]) ).
thf(m__2174,axiom,
( ( xI
= ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) )
& ( aIdeal0 @ xI ) ) ).
thf(zip_derived_cl98,plain,
( xI
= ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ),
inference(cnf,[status(esa)],[m__2174]) ).
thf(zip_derived_cl116_002,plain,
( xb
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ xu ) @ xr ) ),
inference(cnf,[status(esa)],[m__2666]) ).
thf(zip_derived_cl129,plain,
( xI
= ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xq @ xu ) @ xr ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl116]) ).
thf(zip_derived_cl134,plain,
~ ( aElementOf0 @ ( sdtpldt0 @ ( sdtasdt0 @ xq @ xu ) @ xr ) @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xq @ xu ) @ xr ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl129]) ).
thf(zip_derived_cl268254,plain,
~ ( aElement0 @ ( sdtpldt0 @ ( sdtasdt0 @ xq @ xu ) @ xr ) ),
inference('sup-',[status(thm)],[zip_derived_cl265539,zip_derived_cl134]) ).
thf(zip_derived_cl94,plain,
aElement0 @ xb,
inference(cnf,[status(esa)],[m__2091]) ).
thf(zip_derived_cl116_003,plain,
( xb
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ xu ) @ xr ) ),
inference(cnf,[status(esa)],[m__2666]) ).
thf(zip_derived_cl125,plain,
aElement0 @ ( sdtpldt0 @ ( sdtasdt0 @ xq @ xu ) @ xr ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl116]) ).
thf(zip_derived_cl268551,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl268254,zip_derived_cl125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG121+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cOvtvJsDno true
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 02:31:18 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.18/0.57 % Total configuration time : 435
% 0.18/0.57 % Estimated wc time : 1092
% 0.18/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.10/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.16/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.16/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.51/1.02 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 249.89/42.34 % Solved by fo/fo7.sh.
% 249.89/42.34 % done 56547 iterations in 41.593s
% 249.89/42.34 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 249.89/42.34 % SZS output start Refutation
% See solution above
% 249.89/42.34
% 249.89/42.34
% 249.89/42.34 % Terminating...
% 250.61/42.39 % Runner terminated.
% 250.61/42.40 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------