%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG081+2 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aDpoxABLnj true
% Computer : n016.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 Oct 2 04:50:28 PM UTC 2025
% Result : Theorem 0.54s 0.83s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 58 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 198 ( 88 equ; 0 cnn)
% Maximal formula atoms : 40 ( 3 avg)
% Number of connectives : 701 ( 63 ~; 45 |; 81 &; 498 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 5 con; 0-2 aty)
% Number of variables : 52 ( 0 ^; 24 !; 28 ?; 52 :)
% 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(xs_type,type,
xs: $i ).
thf(sz0z00_type,type,
sz0z00: $i ).
thf(aDimensionOf0_type,type,
aDimensionOf0: $i > $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(aScalar0_type,type,
aScalar0: $i > $o ).
thf(xt_type,type,
xt: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(sdtasasdt0_type,type,
sdtasasdt0: $i > $i > $i ).
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(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(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_cl1022,plain,
! [X0: $i,X1: $i] :
( ~ ( aVector0 @ X0 )
| ~ ( aVector0 @ X1 )
| ( ( sdtasasdt0 @ X0 @ X1 )
= sz0z00 )
| ( ( aDimensionOf0 @ X1 )
!= sz00 )
| ( ( aDimensionOf0 @ X0 )
!= sz00 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl52_001,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_cl17,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ sz0z00 @ X0 )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl1022_002,plain,
! [X0: $i,X1: $i] :
( ~ ( aVector0 @ X0 )
| ~ ( aVector0 @ X1 )
| ( ( sdtasasdt0 @ X0 @ X1 )
= sz0z00 )
| ( ( aDimensionOf0 @ X1 )
!= sz00 )
| ( ( aDimensionOf0 @ X0 )
!= sz00 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl53]) ).
thf(m__,conjecture,
( ( ( ( aDimensionOf0 @ xs )
!= sz00 )
=> ? [W0: $i] :
( ? [W1: $i] :
( ? [W2: $i] :
( ? [W3: $i] :
( ? [W4: $i] :
( ? [W5: $i] :
( ? [W6: $i] :
( ? [W7: $i] :
( ? [W8: $i] :
( ? [W9: $i] :
( ? [W10: $i] :
( ? [W11: $i] :
( ? [W12: $i] :
( ? [W13: $i] :
( ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xs ) @ ( sdtasasdt0 @ xt @ xt ) ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtpldt0 @ W6 @ W9 ) @ ( sdtpldt0 @ W6 @ W9 ) ) @ ( sdtasdt0 @ ( sdtpldt0 @ W4 @ W7 ) @ ( sdtpldt0 @ W5 @ W8 ) ) )
& ( sdtlseqdt0 @ ( sdtpldt0 @ W11 @ W11 ) @ ( sdtpldt0 @ W10 @ W12 ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ W6 @ W6 ) @ ( sdtasdt0 @ W4 @ W5 ) )
& ( W13
= ( sdtasdt0 @ W10 @ W12 ) )
& ( aScalar0 @ W13 ) )
& ( W12
= ( sdtasdt0 @ W7 @ W5 ) )
& ( aScalar0 @ W12 ) )
& ( W11
= ( sdtasdt0 @ W6 @ W9 ) )
& ( aScalar0 @ W11 ) )
& ( W10
= ( sdtasdt0 @ W4 @ W8 ) )
& ( aScalar0 @ W10 ) )
& ( W9
= ( sdtasdt0 @ W2 @ W3 ) )
& ( aScalar0 @ W9 ) )
& ( W8
= ( sdtasdt0 @ W3 @ W3 ) )
& ( aScalar0 @ W8 ) )
& ( W7
= ( sdtasdt0 @ W2 @ W2 ) )
& ( aScalar0 @ W7 ) )
& ( W6
= ( sdtasasdt0 @ W0 @ W1 ) )
& ( aScalar0 @ W6 ) )
& ( W5
= ( sdtasasdt0 @ W1 @ W1 ) )
& ( aScalar0 @ W5 ) )
& ( W4
= ( sdtasasdt0 @ W0 @ W0 ) )
& ( aScalar0 @ W4 ) )
& ( W3
= ( sdtlbdtrb0 @ xt @ ( aDimensionOf0 @ xt ) ) )
& ( aScalar0 @ W3 ) )
& ( W2
= ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) )
& ( aScalar0 @ W2 ) )
& ( W1
= ( sziznziztdt0 @ xt ) )
& ! [W2: $i] :
( ( aNaturalNumber0 @ W2 )
=> ( ( sdtlbdtrb0 @ W1 @ W2 )
= ( sdtlbdtrb0 @ xt @ W2 ) ) )
& ( ( szszuzczcdt0 @ ( aDimensionOf0 @ W1 ) )
= ( aDimensionOf0 @ xt ) )
& ( aVector0 @ W1 ) )
& ( W0
= ( sziznziztdt0 @ xs ) )
& ! [W1: $i] :
( ( aNaturalNumber0 @ W1 )
=> ( ( sdtlbdtrb0 @ W0 @ W1 )
= ( sdtlbdtrb0 @ xs @ W1 ) ) )
& ( ( szszuzczcdt0 @ ( aDimensionOf0 @ W0 ) )
= ( aDimensionOf0 @ xs ) )
& ( aVector0 @ W0 ) ) )
=> ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xs ) @ ( sdtasasdt0 @ xt @ xt ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( ( aDimensionOf0 @ xs )
!= sz00 )
=> ? [W0: $i] :
( ? [W1: $i] :
( ? [W2: $i] :
( ? [W3: $i] :
( ? [W4: $i] :
( ? [W5: $i] :
( ? [W6: $i] :
( ? [W7: $i] :
( ? [W8: $i] :
( ? [W9: $i] :
( ? [W10: $i] :
( ? [W11: $i] :
( ? [W12: $i] :
( ? [W13: $i] :
( ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xs ) @ ( sdtasasdt0 @ xt @ xt ) ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtpldt0 @ W6 @ W9 ) @ ( sdtpldt0 @ W6 @ W9 ) ) @ ( sdtasdt0 @ ( sdtpldt0 @ W4 @ W7 ) @ ( sdtpldt0 @ W5 @ W8 ) ) )
& ( sdtlseqdt0 @ ( sdtpldt0 @ W11 @ W11 ) @ ( sdtpldt0 @ W10 @ W12 ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ W6 @ W6 ) @ ( sdtasdt0 @ W4 @ W5 ) )
& ( W13
= ( sdtasdt0 @ W10 @ W12 ) )
& ( aScalar0 @ W13 ) )
& ( W12
= ( sdtasdt0 @ W7 @ W5 ) )
& ( aScalar0 @ W12 ) )
& ( W11
= ( sdtasdt0 @ W6 @ W9 ) )
& ( aScalar0 @ W11 ) )
& ( W10
= ( sdtasdt0 @ W4 @ W8 ) )
& ( aScalar0 @ W10 ) )
& ( W9
= ( sdtasdt0 @ W2 @ W3 ) )
& ( aScalar0 @ W9 ) )
& ( W8
= ( sdtasdt0 @ W3 @ W3 ) )
& ( aScalar0 @ W8 ) )
& ( W7
= ( sdtasdt0 @ W2 @ W2 ) )
& ( aScalar0 @ W7 ) )
& ( W6
= ( sdtasasdt0 @ W0 @ W1 ) )
& ( aScalar0 @ W6 ) )
& ( W5
= ( sdtasasdt0 @ W1 @ W1 ) )
& ( aScalar0 @ W5 ) )
& ( W4
= ( sdtasasdt0 @ W0 @ W0 ) )
& ( aScalar0 @ W4 ) )
& ( W3
= ( sdtlbdtrb0 @ xt @ ( aDimensionOf0 @ xt ) ) )
& ( aScalar0 @ W3 ) )
& ( W2
= ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) )
& ( aScalar0 @ W2 ) )
& ( W1
= ( sziznziztdt0 @ xt ) )
& ! [W2: $i] :
( ( aNaturalNumber0 @ W2 )
=> ( ( sdtlbdtrb0 @ W1 @ W2 )
= ( sdtlbdtrb0 @ xt @ W2 ) ) )
& ( ( szszuzczcdt0 @ ( aDimensionOf0 @ W1 ) )
= ( aDimensionOf0 @ xt ) )
& ( aVector0 @ W1 ) )
& ( W0
= ( sziznziztdt0 @ xs ) )
& ! [W1: $i] :
( ( aNaturalNumber0 @ W1 )
=> ( ( sdtlbdtrb0 @ W0 @ W1 )
= ( sdtlbdtrb0 @ xs @ W1 ) ) )
& ( ( szszuzczcdt0 @ ( aDimensionOf0 @ W0 ) )
= ( aDimensionOf0 @ xs ) )
& ( aVector0 @ W0 ) ) )
=> ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xs ) @ ( sdtasasdt0 @ xt @ xt ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl96,plain,
~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xs ) @ ( sdtasasdt0 @ xt @ xt ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1025,plain,
( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ sz0z00 @ ( sdtasasdt0 @ xt @ xt ) ) )
| ( ( aDimensionOf0 @ xs )
!= sz00 )
| ( ( aDimensionOf0 @ xs )
!= sz00 )
| ~ ( aVector0 @ xs )
| ~ ( aVector0 @ xs ) ),
inference('sup-',[status(thm)],[zip_derived_cl1022,zip_derived_cl96]) ).
thf(zip_derived_cl79,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xs ) @ ( sdtasasdt0 @ xt @ xt ) ) )
| ( ( aDimensionOf0 @ xs )
= sz00 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl96_003,plain,
~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xs ) @ ( sdtasasdt0 @ xt @ xt ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl944,plain,
( ( aDimensionOf0 @ xs )
= sz00 ),
inference(clc,[status(thm)],[zip_derived_cl79,zip_derived_cl96]) ).
thf(zip_derived_cl944_004,plain,
( ( aDimensionOf0 @ xs )
= sz00 ),
inference(clc,[status(thm)],[zip_derived_cl79,zip_derived_cl96]) ).
thf(m__1678,axiom,
( ( aVector0 @ xt )
& ( aVector0 @ xs ) ) ).
thf(zip_derived_cl57,plain,
aVector0 @ xs,
inference(cnf,[status(esa)],[m__1678]) ).
thf(zip_derived_cl57_005,plain,
aVector0 @ xs,
inference(cnf,[status(esa)],[m__1678]) ).
thf(zip_derived_cl1032,plain,
( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ sz0z00 @ ( sdtasasdt0 @ xt @ xt ) ) )
| ( sz00 != sz00 )
| ( sz00 != sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1025,zip_derived_cl944,zip_derived_cl944,zip_derived_cl57,zip_derived_cl57]) ).
thf(zip_derived_cl1033,plain,
~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ ( sdtasdt0 @ sz0z00 @ ( sdtasasdt0 @ xt @ xt ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1032]) ).
thf(zip_derived_cl1040,plain,
( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ sz0z00 )
| ~ ( aScalar0 @ ( sdtasasdt0 @ xt @ xt ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl1033]) ).
thf(zip_derived_cl1056,plain,
( ( ( aDimensionOf0 @ xt )
!= ( aDimensionOf0 @ xt ) )
| ~ ( aVector0 @ xt )
| ~ ( aVector0 @ xt )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ sz0z00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl1040]) ).
thf(m__1678_01,axiom,
( ( aDimensionOf0 @ xs )
= ( aDimensionOf0 @ xt ) ) ).
thf(zip_derived_cl59,plain,
( ( aDimensionOf0 @ xs )
= ( aDimensionOf0 @ xt ) ),
inference(cnf,[status(esa)],[m__1678_01]) ).
thf(zip_derived_cl944_006,plain,
( ( aDimensionOf0 @ xs )
= sz00 ),
inference(clc,[status(thm)],[zip_derived_cl79,zip_derived_cl96]) ).
thf(zip_derived_cl945,plain,
( sz00
= ( aDimensionOf0 @ xt ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl944]) ).
thf(zip_derived_cl945_007,plain,
( sz00
= ( aDimensionOf0 @ xt ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl944]) ).
thf(zip_derived_cl56,plain,
aVector0 @ xt,
inference(cnf,[status(esa)],[m__1678]) ).
thf(zip_derived_cl56_008,plain,
aVector0 @ xt,
inference(cnf,[status(esa)],[m__1678]) ).
thf(zip_derived_cl1058,plain,
( ( sz00 != sz00 )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1056,zip_derived_cl945,zip_derived_cl945,zip_derived_cl56,zip_derived_cl56]) ).
thf(zip_derived_cl1059,plain,
~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ ( sdtasasdt0 @ xs @ xt ) ) @ sz0z00 ),
inference(simplify,[status(thm)],[zip_derived_cl1058]) ).
thf(zip_derived_cl1066,plain,
( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ sz0z00 ) @ sz0z00 )
| ( ( aDimensionOf0 @ xs )
!= sz00 )
| ( ( aDimensionOf0 @ xt )
!= sz00 )
| ~ ( aVector0 @ xt )
| ~ ( aVector0 @ xs ) ),
inference('sup-',[status(thm)],[zip_derived_cl1022,zip_derived_cl1059]) ).
thf(zip_derived_cl944_009,plain,
( ( aDimensionOf0 @ xs )
= sz00 ),
inference(clc,[status(thm)],[zip_derived_cl79,zip_derived_cl96]) ).
thf(zip_derived_cl945_010,plain,
( sz00
= ( aDimensionOf0 @ xt ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl944]) ).
thf(zip_derived_cl56_011,plain,
aVector0 @ xt,
inference(cnf,[status(esa)],[m__1678]) ).
thf(zip_derived_cl57_012,plain,
aVector0 @ xs,
inference(cnf,[status(esa)],[m__1678]) ).
thf(zip_derived_cl1070,plain,
( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ sz0z00 ) @ sz0z00 )
| ( sz00 != sz00 )
| ( sz00 != sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1066,zip_derived_cl944,zip_derived_cl945,zip_derived_cl56,zip_derived_cl57]) ).
thf(zip_derived_cl1071,plain,
~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xs @ xt ) @ sz0z00 ) @ sz0z00 ),
inference(simplify,[status(thm)],[zip_derived_cl1070]) ).
thf(zip_derived_cl1114,plain,
( ~ ( sdtlseqdt0 @ sz0z00 @ sz0z00 )
| ~ ( aScalar0 @ ( sdtasasdt0 @ xs @ xt ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl1071]) ).
thf(zip_derived_cl16_013,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz0z00 )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
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(zip_derived_cl621,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_014,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl623,plain,
sdtlseqdt0 @ sz0z00 @ sz0z00,
inference(demod,[status(thm)],[zip_derived_cl621,zip_derived_cl10,zip_derived_cl10]) ).
thf(zip_derived_cl1118,plain,
~ ( aScalar0 @ ( sdtasasdt0 @ xs @ xt ) ),
inference(demod,[status(thm)],[zip_derived_cl1114,zip_derived_cl623]) ).
thf(zip_derived_cl1122,plain,
( ( ( aDimensionOf0 @ xs )
!= ( aDimensionOf0 @ xt ) )
| ~ ( aVector0 @ xt )
| ~ ( aVector0 @ xs ) ),
inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl1118]) ).
thf(zip_derived_cl944_015,plain,
( ( aDimensionOf0 @ xs )
= sz00 ),
inference(clc,[status(thm)],[zip_derived_cl79,zip_derived_cl96]) ).
thf(zip_derived_cl945_016,plain,
( sz00
= ( aDimensionOf0 @ xt ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl944]) ).
thf(zip_derived_cl56_017,plain,
aVector0 @ xt,
inference(cnf,[status(esa)],[m__1678]) ).
thf(zip_derived_cl57_018,plain,
aVector0 @ xs,
inference(cnf,[status(esa)],[m__1678]) ).
thf(zip_derived_cl1124,plain,
sz00 != sz00,
inference(demod,[status(thm)],[zip_derived_cl1122,zip_derived_cl944,zip_derived_cl945,zip_derived_cl56,zip_derived_cl57]) ).
thf(zip_derived_cl1125,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG081+2 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aDpoxABLnj true
% 0.12/0.34 % Computer : n016.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 : Wed Oct 1 17:22:40 EDT 2025
% 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
% 0.45/0.61 % Total configuration time : 435
% 0.45/0.61 % Estimated wc time : 1092
% 0.45/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.83 % Solved by fo/fo3_bce.sh.
% 0.54/0.83 % BCE start: 97
% 0.54/0.83 % BCE eliminated: 0
% 0.54/0.83 % PE start: 97
% 0.54/0.83 logic: eq
% 0.54/0.83 % PE eliminated: 1
% 0.54/0.83 % done 162 iterations in 0.099s
% 0.54/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.83 % SZS output start Refutation
% See solution above
% 0.54/0.83
% 0.54/0.83
% 0.54/0.83 % Terminating...
% 1.82/0.93 % Runner terminated.
% 1.82/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------