TSTP Solution File: RNG047+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG047+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.p1djIxCebo true
% Computer : n023.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 0.70s 0.99s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 52 ( 12 unt; 10 typ; 0 def)
% Number of atoms : 110 ( 61 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 279 ( 43 ~; 51 |; 8 &; 168 @)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 0 ^; 32 !; 1 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(xs_type,type,
xs: $i ).
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(aDimensionOf0_type,type,
aDimensionOf0: $i > $i ).
thf(xt_type,type,
xt: $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(m__1329_01,axiom,
( ( ( aDimensionOf0 @ xt )
!= sz00 )
& ( ( aDimensionOf0 @ xs )
= ( aDimensionOf0 @ xt ) ) ) ).
thf(zip_derived_cl54,plain,
( ( aDimensionOf0 @ xs )
= ( aDimensionOf0 @ xt ) ),
inference(cnf,[status(esa)],[m__1329_01]) ).
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_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_cl70,plain,
! [X0: $i] :
( ~ ( aVector0 @ X0 )
| ( ( szszuzczcdt0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ X0 ) ) )
= ( aDimensionOf0 @ X0 ) )
| ( ( aDimensionOf0 @ X0 )
= sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl47]) ).
thf(mNatExtr,axiom,
! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( W0 != sz00 ) )
=> ? [W1: $i] :
( ( W0
= ( szszuzczcdt0 @ W1 ) )
& ( aNaturalNumber0 @ W1 ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( X0
= ( szszuzczcdt0 @ ( sk_ @ X0 ) ) )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mNatExtr]) ).
thf(mSuccEqu,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( szszuzczcdt0 @ W0 )
= ( szszuzczcdt0 @ W1 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 = X1 )
| ( ( szszuzczcdt0 @ X0 )
!= ( szszuzczcdt0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSuccEqu]) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ ( sk_ @ X0 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sk_ @ X0 )
= X1 )
| ( X0
!= ( szszuzczcdt0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl6]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ ( sk_ @ X0 ) )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mNatExtr]) ).
thf(zip_derived_cl960,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( szszuzczcdt0 @ X1 ) )
| ( ( sk_ @ X0 )
= X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl81,zip_derived_cl5]) ).
thf(zip_derived_cl964,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ ( szszuzczcdt0 @ X0 ) )
| ( ( szszuzczcdt0 @ X0 )
= sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sk_ @ ( szszuzczcdt0 @ X0 ) )
= X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl960]) ).
thf(mSuccNat,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( aNaturalNumber0 @ ( szszuzczcdt0 @ W0 ) )
& ( ( szszuzczcdt0 @ W0 )
!= sz00 ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ ( szszuzczcdt0 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mSuccNat]) ).
thf(zip_derived_cl1042,plain,
! [X0: $i] :
( ( ( sk_ @ ( szszuzczcdt0 @ X0 ) )
= X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( szszuzczcdt0 @ X0 )
= sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl964,zip_derived_cl2]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( ( szszuzczcdt0 @ X0 )
!= sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mSuccNat]) ).
thf(zip_derived_cl1043,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sk_ @ ( szszuzczcdt0 @ X0 ) )
= X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1042,zip_derived_cl3]) ).
thf(zip_derived_cl1047,plain,
! [X0: $i] :
( ( ( aDimensionOf0 @ X0 )
= sz00 )
| ~ ( aVector0 @ X0 )
| ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ X0 ) ) )
| ( ( sk_ @ ( aDimensionOf0 @ X0 ) )
= ( aDimensionOf0 @ ( sziznziztdt0 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl70,zip_derived_cl1043]) ).
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(zip_derived_cl1049,plain,
! [X0: $i] :
( ( ( sk_ @ ( aDimensionOf0 @ X0 ) )
= ( aDimensionOf0 @ ( sziznziztdt0 @ X0 ) ) )
| ~ ( aVector0 @ X0 )
| ( ( aDimensionOf0 @ X0 )
= sz00 )
| ~ ( aVector0 @ ( sziznziztdt0 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1047,zip_derived_cl44]) ).
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_cl85,plain,
! [X0: $i] :
( ~ ( aVector0 @ X0 )
| ( aVector0 @ ( sziznziztdt0 @ X0 ) )
| ( ( aDimensionOf0 @ X0 )
= sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl1167,plain,
! [X0: $i] :
( ( ( aDimensionOf0 @ X0 )
= sz00 )
| ~ ( aVector0 @ X0 )
| ( ( sk_ @ ( aDimensionOf0 @ X0 ) )
= ( aDimensionOf0 @ ( sziznziztdt0 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1049,zip_derived_cl85]) ).
thf(zip_derived_cl1171,plain,
( ( ( aDimensionOf0 @ xs )
= sz00 )
| ~ ( aVector0 @ xt )
| ( ( sk_ @ ( aDimensionOf0 @ xs ) )
= ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl54,zip_derived_cl1167]) ).
thf(m__1329,axiom,
( ( aVector0 @ xt )
& ( aVector0 @ xs ) ) ).
thf(zip_derived_cl51,plain,
aVector0 @ xt,
inference(cnf,[status(esa)],[m__1329]) ).
thf(zip_derived_cl1172,plain,
( ( ( aDimensionOf0 @ xs )
= sz00 )
| ( ( sk_ @ ( aDimensionOf0 @ xs ) )
= ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1171,zip_derived_cl51]) ).
thf(zip_derived_cl53,plain,
( ( aDimensionOf0 @ xt )
!= sz00 ),
inference(cnf,[status(esa)],[m__1329_01]) ).
thf(zip_derived_cl54_001,plain,
( ( aDimensionOf0 @ xs )
= ( aDimensionOf0 @ xt ) ),
inference(cnf,[status(esa)],[m__1329_01]) ).
thf(zip_derived_cl62,plain,
( ( aDimensionOf0 @ xs )
!= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl54]) ).
thf(zip_derived_cl1173,plain,
( ( sk_ @ ( aDimensionOf0 @ xs ) )
= ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1172,zip_derived_cl62]) ).
thf(zip_derived_cl1167_002,plain,
! [X0: $i] :
( ( ( aDimensionOf0 @ X0 )
= sz00 )
| ~ ( aVector0 @ X0 )
| ( ( sk_ @ ( aDimensionOf0 @ X0 ) )
= ( aDimensionOf0 @ ( sziznziztdt0 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1049,zip_derived_cl85]) ).
thf(zip_derived_cl1180,plain,
( ( ( aDimensionOf0 @ xs )
= sz00 )
| ~ ( aVector0 @ xs )
| ( ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) )
= ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1173,zip_derived_cl1167]) ).
thf(zip_derived_cl52,plain,
aVector0 @ xs,
inference(cnf,[status(esa)],[m__1329]) ).
thf(zip_derived_cl1187,plain,
( ( ( aDimensionOf0 @ xs )
= sz00 )
| ( ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) )
= ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1180,zip_derived_cl52]) ).
thf(m__,conjecture,
( ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) )
= ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) )
!= ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl55,plain,
( ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) )
!= ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62_003,plain,
( ( aDimensionOf0 @ xs )
!= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl54]) ).
thf(zip_derived_cl1188,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1187,zip_derived_cl55,zip_derived_cl62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG047+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.p1djIxCebo true
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sun Aug 27 03:20:26 EDT 2023
% 0.17/0.33 % CPUTime :
% 0.17/0.33 % Running portfolio for 300 s
% 0.17/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.33 % Number of cores: 8
% 0.17/0.33 % Python version: Python 3.6.8
% 0.17/0.33 % Running in FO mode
% 0.45/0.58 % Total configuration time : 435
% 0.45/0.58 % Estimated wc time : 1092
% 0.45/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.70/0.99 % Solved by fo/fo1_av.sh.
% 0.70/0.99 % done 190 iterations in 0.281s
% 0.70/0.99 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.70/0.99 % SZS output start Refutation
% See solution above
% 0.70/0.99
% 0.70/0.99
% 0.70/0.99 % Terminating...
% 1.96/1.11 % Runner terminated.
% 1.96/1.13 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------