TSTP Solution File: RNG048+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG048+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.PAd6UCRQLh 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 14:06:30 EDT 2023
% Result : Theorem 49.32s 7.78s
% Output : Refutation 49.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 29
% Syntax : Number of formulae : 95 ( 16 unt; 16 typ; 0 def)
% Number of atoms : 242 ( 79 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 796 ( 91 ~; 118 |; 19 &; 542 @)
% ( 1 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 4 con; 0-2 aty)
% Number of variables : 67 ( 0 ^; 67 !; 0 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sdtlbdtrb0_type,type,
sdtlbdtrb0: $i > $i > $i ).
thf(sziznziztdt0_type,type,
sziznziztdt0: $i > $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(aVector0_type,type,
aVector0: $i > $o ).
thf(sz00_type,type,
sz00: $i ).
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(sz0z00_type,type,
sz0z00: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(aDimensionOf0_type,type,
aDimensionOf0: $i > $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(aScalar0_type,type,
aScalar0: $i > $o ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(sdtasasdt0_type,type,
sdtasasdt0: $i > $i > $i ).
thf(m__,conjecture,
! [W0: $i] :
( ( aVector0 @ W0 )
=> ( ! [W1: $i] :
( ( aVector0 @ W1 )
=> ( ( iLess0 @ ( aDimensionOf0 @ W1 ) @ ( aDimensionOf0 @ W0 ) )
=> ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ W1 @ W1 ) ) ) )
=> ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ W0 @ W0 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [W0: $i] :
( ( aVector0 @ W0 )
=> ( ! [W1: $i] :
( ( aVector0 @ W1 )
=> ( ( iLess0 @ ( aDimensionOf0 @ W1 ) @ ( aDimensionOf0 @ W0 ) )
=> ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ W1 @ W1 ) ) ) )
=> ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ W0 @ W0 ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl56,plain,
~ ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ sk__2 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mDimNat,axiom,
! [W0: $i] :
( ( aVector0 @ W0 )
=> ( aNaturalNumber0 @ ( aDimensionOf0 @ W0 ) ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ ( aDimensionOf0 @ X0 ) )
| ~ ( aVector0 @ X0 ) ),
inference(cnf,[status(esa)],[mDimNat]) ).
thf(mElmSc,axiom,
! [W0: $i,W1: $i] :
( ( ( aVector0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aScalar0 @ ( sdtlbdtrb0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ~ ( aVector0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aScalar0 @ ( sdtlbdtrb0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mElmSc]) ).
thf(mDefSPN,axiom,
! [W0: $i,W1: $i] :
( ( ( aVector0 @ W0 )
& ( aVector0 @ W1 ) )
=> ( ( ( ( aDimensionOf0 @ W0 )
= ( aDimensionOf0 @ W1 ) )
& ( ( aDimensionOf0 @ W1 )
!= sz00 ) )
=> ( ( sdtasasdt0 @ W0 @ W1 )
= ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ W0 ) @ ( sziznziztdt0 @ W1 ) ) @ ( sdtasdt0 @ ( sdtlbdtrb0 @ W0 @ ( aDimensionOf0 @ W0 ) ) @ ( sdtlbdtrb0 @ W1 @ ( aDimensionOf0 @ W1 ) ) ) ) ) ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i] :
( ~ ( aVector0 @ X0 )
| ~ ( aVector0 @ X1 )
| ( ( sdtasasdt0 @ X0 @ X1 )
= ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ X0 ) @ ( sziznziztdt0 @ X1 ) ) @ ( sdtasdt0 @ ( sdtlbdtrb0 @ X0 @ ( aDimensionOf0 @ X0 ) ) @ ( sdtlbdtrb0 @ X1 @ ( aDimensionOf0 @ X1 ) ) ) ) )
| ( ( aDimensionOf0 @ X1 )
= sz00 )
| ( ( aDimensionOf0 @ X0 )
!= ( aDimensionOf0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mDefSPN]) ).
thf(zip_derived_cl719,plain,
! [X0: $i] :
( ( ( aDimensionOf0 @ X0 )
= sz00 )
| ( ( sdtasasdt0 @ X0 @ X0 )
= ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ X0 ) @ ( sziznziztdt0 @ X0 ) ) @ ( sdtasdt0 @ ( sdtlbdtrb0 @ X0 @ ( aDimensionOf0 @ X0 ) ) @ ( sdtlbdtrb0 @ X0 @ ( aDimensionOf0 @ X0 ) ) ) ) )
| ~ ( aVector0 @ X0 )
| ~ ( aVector0 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl720,plain,
! [X0: $i] :
( ~ ( aVector0 @ X0 )
| ( ( sdtasasdt0 @ X0 @ X0 )
= ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ X0 ) @ ( sziznziztdt0 @ X0 ) ) @ ( sdtasdt0 @ ( sdtlbdtrb0 @ X0 @ ( aDimensionOf0 @ X0 ) ) @ ( sdtlbdtrb0 @ X0 @ ( aDimensionOf0 @ X0 ) ) ) ) )
| ( ( aDimensionOf0 @ X0 )
= sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl719]) ).
thf(mMulSc,axiom,
! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( aScalar0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(mSqPos,axiom,
! [W0: $i] :
( ( aScalar0 @ W0 )
=> ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ W0 @ W0 ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mSqPos]) ).
thf(mDefInit,axiom,
! [W0: $i] :
( ( aVector0 @ W0 )
=> ( ( ( aDimensionOf0 @ W0 )
!= sz00 )
=> ! [W1: $i] :
( ( W1
= ( sziznziztdt0 @ W0 ) )
<=> ( ( aVector0 @ W1 )
& ( ( szszuzczcdt0 @ ( aDimensionOf0 @ W1 ) )
= ( aDimensionOf0 @ W0 ) )
& ! [W2: $i] :
( ( aNaturalNumber0 @ W2 )
=> ( ( sdtlbdtrb0 @ W1 @ W2 )
= ( sdtlbdtrb0 @ W0 @ W2 ) ) ) ) ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i] :
( ( ( aDimensionOf0 @ X0 )
= sz00 )
| ( X1
!= ( sziznziztdt0 @ X0 ) )
| ( aVector0 @ X1 )
| ~ ( aVector0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefInit]) ).
thf(zip_derived_cl104,plain,
! [X0: $i] :
( ~ ( aVector0 @ X0 )
| ( aVector0 @ ( sziznziztdt0 @ X0 ) )
| ( ( aDimensionOf0 @ X0 )
= sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl46]) ).
thf(mScPr,axiom,
! [W0: $i,W1: $i] :
( ( ( aVector0 @ W0 )
& ( aVector0 @ W1 ) )
=> ( ( ( aDimensionOf0 @ W0 )
= ( aDimensionOf0 @ W1 ) )
=> ( aScalar0 @ ( sdtasasdt0 @ W0 @ W1 ) ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i] :
( ~ ( aVector0 @ X0 )
| ~ ( aVector0 @ X1 )
| ( aScalar0 @ ( sdtasasdt0 @ X0 @ X1 ) )
| ( ( aDimensionOf0 @ X0 )
!= ( aDimensionOf0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mScPr]) ).
thf(zip_derived_cl105,plain,
! [X0: $i] :
( ( aScalar0 @ ( sdtasasdt0 @ X0 @ X0 ) )
| ~ ( aVector0 @ X0 )
| ~ ( aVector0 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl106,plain,
! [X0: $i] :
( ~ ( aVector0 @ X0 )
| ( aScalar0 @ ( sdtasasdt0 @ X0 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl105]) ).
thf(zip_derived_cl104_001,plain,
! [X0: $i] :
( ~ ( aVector0 @ X0 )
| ( aVector0 @ ( sziznziztdt0 @ X0 ) )
| ( ( aDimensionOf0 @ X0 )
= sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl44_002,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ ( aDimensionOf0 @ X0 ) )
| ~ ( aVector0 @ X0 ) ),
inference(cnf,[status(esa)],[mDimNat]) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i] :
( ( ( aDimensionOf0 @ X0 )
= sz00 )
| ( X1
!= ( sziznziztdt0 @ X0 ) )
| ( ( szszuzczcdt0 @ ( aDimensionOf0 @ X1 ) )
= ( aDimensionOf0 @ X0 ) )
| ~ ( aVector0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefInit]) ).
thf(zip_derived_cl195,plain,
! [X0: $i] :
( ~ ( aVector0 @ X0 )
| ( ( szszuzczcdt0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ X0 ) ) )
= ( aDimensionOf0 @ X0 ) )
| ( ( aDimensionOf0 @ X0 )
= sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl47]) ).
thf(mIH,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( iLess0 @ W0 @ ( szszuzczcdt0 @ W0 ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( iLess0 @ X0 @ ( szszuzczcdt0 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mIH]) ).
thf(zip_derived_cl209,plain,
! [X0: $i] :
( ( iLess0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ X0 ) ) @ ( aDimensionOf0 @ X0 ) )
| ( ( aDimensionOf0 @ X0 )
= sz00 )
| ~ ( aVector0 @ X0 )
| ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl195,zip_derived_cl8]) ).
thf(zip_derived_cl3285,plain,
! [X0: $i] :
( ~ ( aVector0 @ ( sziznziztdt0 @ X0 ) )
| ~ ( aVector0 @ X0 )
| ( ( aDimensionOf0 @ X0 )
= sz00 )
| ( iLess0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ X0 ) ) @ ( aDimensionOf0 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl209]) ).
thf(zip_derived_cl104_003,plain,
! [X0: $i] :
( ~ ( aVector0 @ X0 )
| ( aVector0 @ ( sziznziztdt0 @ X0 ) )
| ( ( aDimensionOf0 @ X0 )
= sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl4338,plain,
! [X0: $i] :
( ( iLess0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ X0 ) ) @ ( aDimensionOf0 @ X0 ) )
| ( ( aDimensionOf0 @ X0 )
= sz00 )
| ~ ( aVector0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl3285,zip_derived_cl104]) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ~ ( iLess0 @ ( aDimensionOf0 @ X0 ) @ ( aDimensionOf0 @ sk__2 ) )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ X0 @ X0 ) )
| ~ ( aVector0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4339,plain,
( ~ ( aVector0 @ sk__2 )
| ( ( aDimensionOf0 @ sk__2 )
= sz00 )
| ~ ( aVector0 @ ( sziznziztdt0 @ sk__2 ) )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ ( sziznziztdt0 @ sk__2 ) @ ( sziznziztdt0 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4338,zip_derived_cl57]) ).
thf(zip_derived_cl55,plain,
aVector0 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4340,plain,
( ( ( aDimensionOf0 @ sk__2 )
= sz00 )
| ~ ( aVector0 @ ( sziznziztdt0 @ sk__2 ) )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ ( sziznziztdt0 @ sk__2 ) @ ( sziznziztdt0 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4339,zip_derived_cl55]) ).
thf(zip_derived_cl4369,plain,
( ( ( aDimensionOf0 @ sk__2 )
= sz00 )
| ~ ( aVector0 @ sk__2 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ ( sziznziztdt0 @ sk__2 ) @ ( sziznziztdt0 @ sk__2 ) ) )
| ( ( aDimensionOf0 @ sk__2 )
= sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl4340]) ).
thf(zip_derived_cl55_004,plain,
aVector0 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4370,plain,
( ( ( aDimensionOf0 @ sk__2 )
= sz00 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ ( sziznziztdt0 @ sk__2 ) @ ( sziznziztdt0 @ sk__2 ) ) )
| ( ( aDimensionOf0 @ sk__2 )
= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl4369,zip_derived_cl55]) ).
thf(zip_derived_cl4371,plain,
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ ( sziznziztdt0 @ sk__2 ) @ ( sziznziztdt0 @ sk__2 ) ) )
| ( ( aDimensionOf0 @ sk__2 )
= sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4370]) ).
thf(mPosMon,axiom,
! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ sz0z00 @ W0 )
& ( sdtlseqdt0 @ sz0z00 @ W1 ) )
=> ( ( sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ W0 @ W1 ) )
& ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtlseqdt0 @ sz0z00 @ X0 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ X0 @ X1 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X1 ) ),
inference(cnf,[status(esa)],[mPosMon]) ).
thf(zip_derived_cl4379,plain,
! [X0: $i] :
( ( ( aDimensionOf0 @ sk__2 )
= sz00 )
| ~ ( sdtlseqdt0 @ sz0z00 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ sk__2 ) @ ( sziznziztdt0 @ sk__2 ) ) @ X0 ) )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ sk__2 ) @ ( sziznziztdt0 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4371,zip_derived_cl40]) ).
thf(zip_derived_cl11598,plain,
! [X0: $i] :
( ~ ( aVector0 @ ( sziznziztdt0 @ sk__2 ) )
| ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ sk__2 ) @ ( sziznziztdt0 @ sk__2 ) ) @ X0 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X0 )
| ( ( aDimensionOf0 @ sk__2 )
= sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl4379]) ).
thf(zip_derived_cl11790,plain,
! [X0: $i] :
( ( ( aDimensionOf0 @ sk__2 )
= sz00 )
| ~ ( aVector0 @ sk__2 )
| ( ( aDimensionOf0 @ sk__2 )
= sz00 )
| ~ ( sdtlseqdt0 @ sz0z00 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ sk__2 ) @ ( sziznziztdt0 @ sk__2 ) ) @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl11598]) ).
thf(zip_derived_cl55_005,plain,
aVector0 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11791,plain,
! [X0: $i] :
( ( ( aDimensionOf0 @ sk__2 )
= sz00 )
| ( ( aDimensionOf0 @ sk__2 )
= sz00 )
| ~ ( sdtlseqdt0 @ sz0z00 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ sk__2 ) @ ( sziznziztdt0 @ sk__2 ) ) @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl11790,zip_derived_cl55]) ).
thf(zip_derived_cl11792,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ sk__2 ) @ ( sziznziztdt0 @ sk__2 ) ) @ X0 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X0 )
| ( ( aDimensionOf0 @ sk__2 )
= sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11791]) ).
thf(zip_derived_cl11818,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( aDimensionOf0 @ sk__2 )
= sz00 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ sk__2 ) @ ( sziznziztdt0 @ sk__2 ) ) @ ( sdtasdt0 @ X0 @ X0 ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ X0 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl11792]) ).
thf(zip_derived_cl12569,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ sk__2 ) @ ( sziznziztdt0 @ sk__2 ) ) @ ( sdtasdt0 @ X0 @ X0 ) ) )
| ( ( aDimensionOf0 @ sk__2 )
= sz00 )
| ~ ( aScalar0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl11818]) ).
thf(zip_derived_cl12584,plain,
! [X0: $i] :
( ( ( aDimensionOf0 @ sk__2 )
= sz00 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ sk__2 ) @ ( sziznziztdt0 @ sk__2 ) ) @ ( sdtasdt0 @ X0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12569]) ).
thf(zip_derived_cl60174,plain,
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ sk__2 @ sk__2 ) )
| ( ( aDimensionOf0 @ sk__2 )
= sz00 )
| ~ ( aVector0 @ sk__2 )
| ~ ( aScalar0 @ ( sdtlbdtrb0 @ sk__2 @ ( aDimensionOf0 @ sk__2 ) ) )
| ( ( aDimensionOf0 @ sk__2 )
= sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl720,zip_derived_cl12584]) ).
thf(zip_derived_cl56_006,plain,
~ ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ sk__2 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55_007,plain,
aVector0 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60183,plain,
( ( ( aDimensionOf0 @ sk__2 )
= sz00 )
| ~ ( aScalar0 @ ( sdtlbdtrb0 @ sk__2 @ ( aDimensionOf0 @ sk__2 ) ) )
| ( ( aDimensionOf0 @ sk__2 )
= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl60174,zip_derived_cl56,zip_derived_cl55]) ).
thf(zip_derived_cl60184,plain,
( ~ ( aScalar0 @ ( sdtlbdtrb0 @ sk__2 @ ( aDimensionOf0 @ sk__2 ) ) )
| ( ( aDimensionOf0 @ sk__2 )
= sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl60183]) ).
thf(zip_derived_cl60185,plain,
( ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ sk__2 ) )
| ~ ( aVector0 @ sk__2 )
| ( ( aDimensionOf0 @ sk__2 )
= sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl60184]) ).
thf(zip_derived_cl55_008,plain,
aVector0 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60186,plain,
( ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ sk__2 ) )
| ( ( aDimensionOf0 @ sk__2 )
= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl60185,zip_derived_cl55]) ).
thf(zip_derived_cl60196,plain,
( ~ ( aVector0 @ sk__2 )
| ( ( aDimensionOf0 @ sk__2 )
= sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl60186]) ).
thf(zip_derived_cl55_009,plain,
aVector0 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60197,plain,
( ( aDimensionOf0 @ sk__2 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl60196,zip_derived_cl55]) ).
thf(mDefSPZ,axiom,
! [W0: $i,W1: $i] :
( ( ( aVector0 @ W0 )
& ( aVector0 @ W1 ) )
=> ( ( ( ( aDimensionOf0 @ W0 )
= ( aDimensionOf0 @ W1 ) )
& ( ( aDimensionOf0 @ W1 )
= sz00 ) )
=> ( ( sdtasasdt0 @ W0 @ W1 )
= sz0z00 ) ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i] :
( ~ ( aVector0 @ X0 )
| ~ ( aVector0 @ X1 )
| ( ( sdtasasdt0 @ X0 @ X1 )
= sz0z00 )
| ( ( aDimensionOf0 @ X1 )
!= sz00 )
| ( ( aDimensionOf0 @ X0 )
!= ( aDimensionOf0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mDefSPZ]) ).
thf(zip_derived_cl183,plain,
! [X0: $i] :
( ( ( aDimensionOf0 @ X0 )
!= sz00 )
| ( ( sdtasasdt0 @ X0 @ X0 )
= sz0z00 )
| ~ ( aVector0 @ X0 )
| ~ ( aVector0 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl184,plain,
! [X0: $i] :
( ~ ( aVector0 @ X0 )
| ( ( sdtasasdt0 @ X0 @ X0 )
= sz0z00 )
| ( ( aDimensionOf0 @ X0 )
!= sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl183]) ).
thf(zip_derived_cl60205,plain,
( ( sz00 != sz00 )
| ( ( sdtasasdt0 @ sk__2 @ sk__2 )
= sz0z00 )
| ~ ( aVector0 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl60197,zip_derived_cl184]) ).
thf(zip_derived_cl55_010,plain,
aVector0 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60222,plain,
( ( sz00 != sz00 )
| ( ( sdtasasdt0 @ sk__2 @ sk__2 )
= sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl60205,zip_derived_cl55]) ).
thf(zip_derived_cl60223,plain,
( ( sdtasasdt0 @ sk__2 @ sk__2 )
= sz0z00 ),
inference(simplify,[status(thm)],[zip_derived_cl60222]) ).
thf(mScZero,axiom,
! [W0: $i] :
( ( aScalar0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz0z00 )
= W0 )
& ( ( sdtpldt0 @ sz0z00 @ W0 )
= W0 )
& ( ( sdtasdt0 @ W0 @ sz0z00 )
= sz0z00 )
& ( ( sdtasdt0 @ sz0z00 @ W0 )
= sz0z00 )
& ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
= sz0z00 )
& ( ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 )
= sz0z00 )
& ( ( smndt0 @ ( smndt0 @ W0 ) )
= W0 )
& ( ( smndt0 @ sz0z00 )
= sz0z00 ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz0z00 )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl41_011,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mSqPos]) ).
thf(zip_derived_cl71,plain,
( ( sdtlseqdt0 @ sz0z00 @ sz0z00 )
| ~ ( aScalar0 @ sz0z00 )
| ~ ( aScalar0 @ sz0z00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl41]) ).
thf(mSZeroSc,axiom,
aScalar0 @ sz0z00 ).
thf(zip_derived_cl10,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl10_012,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl73,plain,
sdtlseqdt0 @ sz0z00 @ sz0z00,
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl10,zip_derived_cl10]) ).
thf(zip_derived_cl60234,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl60223,zip_derived_cl73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : RNG048+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.17 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PAd6UCRQLh true
% 0.17/0.38 % Computer : n002.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39 % CPULimit : 300
% 0.17/0.39 % WCLimit : 300
% 0.17/0.39 % DateTime : Sun Aug 27 03:23:33 EDT 2023
% 0.17/0.39 % CPUTime :
% 0.17/0.39 % Running portfolio for 300 s
% 0.17/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.39 % Number of cores: 8
% 0.17/0.39 % Python version: Python 3.6.8
% 0.25/0.39 % Running in FO mode
% 0.25/0.67 % Total configuration time : 435
% 0.25/0.67 % Estimated wc time : 1092
% 0.25/0.67 % Estimated cpu time (7 cpus) : 156.0
% 1.03/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.29/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.37/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.37/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.37/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.37/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.37/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 49.32/7.78 % Solved by fo/fo5.sh.
% 49.32/7.78 % done 3872 iterations in 6.948s
% 49.32/7.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 49.32/7.78 % SZS output start Refutation
% See solution above
% 49.32/7.78
% 49.32/7.78
% 49.32/7.78 % Terminating...
% 50.81/7.90 % Runner terminated.
% 50.81/7.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------