TSTP Solution File: RNG122+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG122+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.z0UwyVEDhz 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 1.30s 1.10s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 30
% Syntax : Number of formulae : 69 ( 20 unt; 18 typ; 0 def)
% Number of atoms : 116 ( 34 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 356 ( 48 ~; 37 |; 15 &; 243 @)
% ( 1 <=>; 12 =>; 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 : 20 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 38 ( 0 ^; 38 !; 0 ?; 38 :)
% 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(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(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(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(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_cl116,plain,
( xb
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ xu ) @ xr ) ),
inference(cnf,[status(esa)],[m__2666]) ).
thf(zip_derived_cl986,plain,
( ( xb
= ( sdtpldt0 @ ( sdtasdt0 @ xu @ xq ) @ xr ) )
| ~ ( aElement0 @ xq )
| ~ ( aElement0 @ xu ) ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl116]) ).
thf(zip_derived_cl118,plain,
aElement0 @ xq,
inference(cnf,[status(esa)],[m__2666]) ).
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(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_cl777,plain,
( ~ ( aSet0 @ xI )
| ( aElement0 @ xu ) ),
inference('sup-',[status(thm)],[zip_derived_cl106,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_cl772,plain,
aSet0 @ xI,
inference('sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl47]) ).
thf(zip_derived_cl779,plain,
aElement0 @ xu,
inference(demod,[status(thm)],[zip_derived_cl777,zip_derived_cl772]) ).
thf(zip_derived_cl1030,plain,
( xb
= ( sdtpldt0 @ ( sdtasdt0 @ xu @ xq ) @ xr ) ),
inference(demod,[status(thm)],[zip_derived_cl986,zip_derived_cl118,zip_derived_cl779]) ).
thf(mAddInvr,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
= sz00 )
& ( sz00
= ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( sz00
= ( sdtpldt0 @ ( smndt0 @ X0 ) @ X0 ) )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddInvr]) ).
thf(mAddAsso,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 )
& ( aElement0 @ W2 ) )
=> ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl929,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ sz00 @ X0 )
= ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ ( smndt0 @ X1 ) )
| ~ ( aElement0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl7]) ).
thf(zip_derived_cl943,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ ( smndt0 @ X1 ) )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( ( sdtpldt0 @ sz00 @ X0 )
= ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl929]) ).
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(zip_derived_cl3037,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ sz00 @ X0 )
= ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl943,zip_derived_cl3]) ).
thf(zip_derived_cl3073,plain,
( ( ( sdtpldt0 @ sz00 @ xr )
= ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xu @ xq ) ) @ xb ) )
| ~ ( aElement0 @ xr )
| ~ ( aElement0 @ ( sdtasdt0 @ xu @ xq ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1030,zip_derived_cl3037]) ).
thf(zip_derived_cl117,plain,
aElement0 @ xr,
inference(cnf,[status(esa)],[m__2666]) ).
thf(zip_derived_cl3112,plain,
( ( ( sdtpldt0 @ sz00 @ xr )
= ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xu @ xq ) ) @ xb ) )
| ~ ( aElement0 @ ( sdtasdt0 @ xu @ xq ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3073,zip_derived_cl117]) ).
thf(zip_derived_cl12_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(m__,conjecture,
( xr
= ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) ) ).
thf(zf_stmt_0,negated_conjecture,
( xr
!= ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl122,plain,
( xr
!= ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl988,plain,
( ( xr
!= ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xu @ xq ) ) @ xb ) )
| ~ ( aElement0 @ xq )
| ~ ( aElement0 @ xu ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl122]) ).
thf(zip_derived_cl118_002,plain,
aElement0 @ xq,
inference(cnf,[status(esa)],[m__2666]) ).
thf(zip_derived_cl779_003,plain,
aElement0 @ xu,
inference(demod,[status(thm)],[zip_derived_cl777,zip_derived_cl772]) ).
thf(zip_derived_cl1032,plain,
( xr
!= ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xu @ xq ) ) @ xb ) ),
inference(demod,[status(thm)],[zip_derived_cl988,zip_derived_cl118,zip_derived_cl779]) ).
thf(zip_derived_cl3136,plain,
( ( xr
!= ( sdtpldt0 @ sz00 @ xr ) )
| ~ ( aElement0 @ ( sdtasdt0 @ xu @ xq ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3112,zip_derived_cl1032]) ).
thf(zip_derived_cl3150,plain,
( ~ ( aElement0 @ xq )
| ~ ( aElement0 @ xu )
| ( xr
!= ( sdtpldt0 @ sz00 @ xr ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl3136]) ).
thf(zip_derived_cl118_004,plain,
aElement0 @ xq,
inference(cnf,[status(esa)],[m__2666]) ).
thf(zip_derived_cl779_005,plain,
aElement0 @ xu,
inference(demod,[status(thm)],[zip_derived_cl777,zip_derived_cl772]) ).
thf(zip_derived_cl3151,plain,
( xr
!= ( sdtpldt0 @ sz00 @ xr ) ),
inference(demod,[status(thm)],[zip_derived_cl3150,zip_derived_cl118,zip_derived_cl779]) ).
thf(zip_derived_cl3153,plain,
( ( xr != xr )
| ~ ( aElement0 @ xr ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl3151]) ).
thf(zip_derived_cl117_006,plain,
aElement0 @ xr,
inference(cnf,[status(esa)],[m__2666]) ).
thf(zip_derived_cl3154,plain,
xr != xr,
inference(demod,[status(thm)],[zip_derived_cl3153,zip_derived_cl117]) ).
thf(zip_derived_cl3155,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl3154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG122+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.z0UwyVEDhz true
% 0.13/0.34 % Computer : n002.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 : Sun Aug 27 03:22:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % 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
% 0.82/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.82/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.82/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.82/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.27/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.27/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.30/1.10 % Solved by fo/fo3_bce.sh.
% 1.30/1.10 % BCE start: 123
% 1.30/1.10 % BCE eliminated: 1
% 1.30/1.10 % PE start: 122
% 1.30/1.10 logic: eq
% 1.30/1.10 % PE eliminated: 7
% 1.30/1.10 % done 388 iterations in 0.353s
% 1.30/1.10 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/1.10 % SZS output start Refutation
% See solution above
% 1.30/1.10
% 1.30/1.10
% 1.30/1.10 % Terminating...
% 1.79/1.16 % Runner terminated.
% 1.79/1.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------