TSTP Solution File: RNG120+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG120+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.4qkPkgeqTV 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 14:07:02 EDT 2023
% Result : Theorem 5.23s 1.31s
% Output : Refutation 5.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 30
% Syntax : Number of formulae : 80 ( 25 unt; 19 typ; 0 def)
% Number of atoms : 130 ( 15 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 384 ( 54 ~; 46 |; 12 &; 261 @)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 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 : 42 ( 0 ^; 42 !; 0 ?; 42 :)
% 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(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(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(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(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(mMulComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(m__2666,axiom,
( ( ( iLess0 @ ( sbrdtbr0 @ xr ) @ ( sbrdtbr0 @ xu ) )
| ( xr = sz00 ) )
& ( xb
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ xu ) @ xr ) )
& ( aElement0 @ xr )
& ( aElement0 @ xq ) ) ).
thf(zip_derived_cl118,plain,
aElement0 @ xq,
inference(cnf,[status(esa)],[m__2666]) ).
thf(zip_derived_cl346,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xq @ X0 )
= ( sdtasdt0 @ X0 @ xq ) )
| ~ ( aElement0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl118]) ).
thf(m__2273,axiom,
( ! [W0: $i] :
( ( ( aElementOf0 @ W0 @ xI )
& ( W0 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W0 ) @ ( sbrdtbr0 @ xu ) ) )
& ( xu != sz00 )
& ( aElementOf0 @ xu @ xI ) ) ).
thf(zip_derived_cl106,plain,
aElementOf0 @ xu @ xI,
inference(cnf,[status(esa)],[m__2273]) ).
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(zip_derived_cl505,plain,
! [X0: $i] :
( ~ ( aIdeal0 @ xI )
| ~ ( aElement0 @ X0 )
| ( aElementOf0 @ ( sdtasdt0 @ X0 @ xu ) @ xI ) ),
inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl48]) ).
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(zip_derived_cl507,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( aElementOf0 @ ( sdtasdt0 @ X0 @ xu ) @ xI ) ),
inference(demod,[status(thm)],[zip_derived_cl505,zip_derived_cl99]) ).
thf(zip_derived_cl3437,plain,
( ( aElementOf0 @ ( sdtasdt0 @ xu @ xq ) @ xI )
| ~ ( aElement0 @ xu )
| ~ ( aElement0 @ xq ) ),
inference('sup+',[status(thm)],[zip_derived_cl346,zip_derived_cl507]) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ( aSet0 @ X0 )
| ~ ( aIdeal0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefIdeal]) ).
thf(zip_derived_cl106_001,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_cl124,plain,
( ~ ( aSet0 @ xI )
| ( aElement0 @ xu ) ),
inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl25]) ).
thf(zip_derived_cl128,plain,
( ~ ( aIdeal0 @ xI )
| ( aElement0 @ xu ) ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl124]) ).
thf(zip_derived_cl99_002,plain,
aIdeal0 @ xI,
inference(cnf,[status(esa)],[m__2174]) ).
thf(zip_derived_cl129,plain,
aElement0 @ xu,
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl99]) ).
thf(zip_derived_cl118_003,plain,
aElement0 @ xq,
inference(cnf,[status(esa)],[m__2666]) ).
thf(zip_derived_cl3491,plain,
aElementOf0 @ ( sdtasdt0 @ xu @ xq ) @ xI,
inference(demod,[status(thm)],[zip_derived_cl3437,zip_derived_cl129,zip_derived_cl118]) ).
thf(zip_derived_cl48_004,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_cl3500,plain,
! [X0: $i] :
( ~ ( aIdeal0 @ xI )
| ~ ( aElement0 @ X0 )
| ( aElementOf0 @ ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xu @ xq ) ) @ xI ) ),
inference('sup-',[status(thm)],[zip_derived_cl3491,zip_derived_cl48]) ).
thf(zip_derived_cl99_005,plain,
aIdeal0 @ xI,
inference(cnf,[status(esa)],[m__2174]) ).
thf(zip_derived_cl3511,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( aElementOf0 @ ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xu @ xq ) ) @ xI ) ),
inference(demod,[status(thm)],[zip_derived_cl3500,zip_derived_cl99]) ).
thf(zip_derived_cl5467,plain,
( ( aElementOf0 @ ( smndt0 @ ( sdtasdt0 @ xu @ xq ) ) @ xI )
| ~ ( aElement0 @ ( sdtasdt0 @ xu @ xq ) )
| ~ ( aElement0 @ ( smndt0 @ sz10 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl3511]) ).
thf(zip_derived_cl346_006,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xq @ X0 )
= ( sdtasdt0 @ X0 @ xq ) )
| ~ ( aElement0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl118]) ).
thf(zip_derived_cl12_007,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl129_008,plain,
aElement0 @ xu,
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl99]) ).
thf(zip_derived_cl345,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xu @ X0 )
= ( sdtasdt0 @ X0 @ xu ) )
| ~ ( aElement0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl129]) ).
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(zip_derived_cl444,plain,
! [X0: $i] :
( ( aElement0 @ ( sdtasdt0 @ X0 @ xu ) )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ xu ) ),
inference('sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl5]) ).
thf(zip_derived_cl129_009,plain,
aElement0 @ xu,
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl99]) ).
thf(zip_derived_cl453,plain,
! [X0: $i] :
( ( aElement0 @ ( sdtasdt0 @ X0 @ xu ) )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl444,zip_derived_cl129]) ).
thf(zip_derived_cl454,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( aElement0 @ ( sdtasdt0 @ X0 @ xu ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl453]) ).
thf(zip_derived_cl3436,plain,
( ( aElement0 @ ( sdtasdt0 @ xu @ xq ) )
| ~ ( aElement0 @ xu )
| ~ ( aElement0 @ xq ) ),
inference('sup+',[status(thm)],[zip_derived_cl346,zip_derived_cl454]) ).
thf(zip_derived_cl129_010,plain,
aElement0 @ xu,
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl99]) ).
thf(zip_derived_cl118_011,plain,
aElement0 @ xq,
inference(cnf,[status(esa)],[m__2666]) ).
thf(zip_derived_cl3490,plain,
aElement0 @ ( sdtasdt0 @ xu @ xq ),
inference(demod,[status(thm)],[zip_derived_cl3436,zip_derived_cl129,zip_derived_cl118]) ).
thf(zip_derived_cl5475,plain,
( ( aElementOf0 @ ( smndt0 @ ( sdtasdt0 @ xu @ xq ) ) @ xI )
| ~ ( aElement0 @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5467,zip_derived_cl3490]) ).
thf(zip_derived_cl12_012,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(m__,conjecture,
aElementOf0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xI ).
thf(zf_stmt_0,negated_conjecture,
~ ( aElementOf0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xI ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl120,plain,
~ ( aElementOf0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xI ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl365,plain,
( ~ ( aElementOf0 @ ( smndt0 @ ( sdtasdt0 @ xu @ xq ) ) @ xI )
| ~ ( aElement0 @ xq )
| ~ ( aElement0 @ xu ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl120]) ).
thf(zip_derived_cl118_013,plain,
aElement0 @ xq,
inference(cnf,[status(esa)],[m__2666]) ).
thf(zip_derived_cl129_014,plain,
aElement0 @ xu,
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl99]) ).
thf(zip_derived_cl433,plain,
~ ( aElementOf0 @ ( smndt0 @ ( sdtasdt0 @ xu @ xq ) ) @ xI ),
inference(demod,[status(thm)],[zip_derived_cl365,zip_derived_cl118,zip_derived_cl129]) ).
thf(zip_derived_cl5479,plain,
~ ( aElement0 @ ( smndt0 @ sz10 ) ),
inference(clc,[status(thm)],[zip_derived_cl5475,zip_derived_cl433]) ).
thf(zip_derived_cl5481,plain,
~ ( aElement0 @ sz10 ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl5479]) ).
thf(mSortsC_01,axiom,
aElement0 @ sz10 ).
thf(zip_derived_cl2,plain,
aElement0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl5482,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5481,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG120+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.4qkPkgeqTV true
% 0.16/0.34 % Computer : n029.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sun Aug 27 02:35:55 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.16/0.34 % Running portfolio for 300 s
% 0.16/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.34 % Number of cores: 8
% 0.16/0.35 % Python version: Python 3.6.8
% 0.16/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.23/1.31 % Solved by fo/fo5.sh.
% 5.23/1.31 % done 810 iterations in 0.530s
% 5.23/1.31 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.23/1.31 % SZS output start Refutation
% See solution above
% 5.23/1.31
% 5.23/1.31
% 5.23/1.31 % Terminating...
% 5.23/1.37 % Runner terminated.
% 5.23/1.38 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------