TSTP Solution File: RNG073+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG073+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.o2UciKwz87 true
% Computer : n021.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 14:06:42 EDT 2023
% Result : Theorem 6.23s 1.49s
% Output : Refutation 6.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 25
% Syntax : Number of formulae : 56 ( 15 unt; 14 typ; 0 def)
% Number of atoms : 108 ( 22 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 522 ( 59 ~; 49 |; 11 &; 397 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(xP_type,type,
xP: $i ).
thf(xR_type,type,
xR: $i ).
thf(xS_type,type,
xS: $i ).
thf(xF_type,type,
xF: $i ).
thf(xC_type,type,
xC: $i ).
thf(xD_type,type,
xD: $i ).
thf(sz0z00_type,type,
sz0z00: $i ).
thf(xH_type,type,
xH: $i ).
thf(xE_type,type,
xE: $i ).
thf(xG_type,type,
xG: $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(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(mSumSc,axiom,
! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( aScalar0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSumSc]) ).
thf(zip_derived_cl11_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSumSc]) ).
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(zip_derived_cl12_002,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(m__2654,axiom,
sdtlseqdt0 @ ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtpldt0 @ xR @ xS ) ) @ ( sdtasdt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtpldt0 @ xP @ xP ) ) ).
thf(zip_derived_cl97,plain,
sdtlseqdt0 @ ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtpldt0 @ xR @ xS ) ) @ ( sdtasdt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtpldt0 @ xP @ xP ) ),
inference(cnf,[status(esa)],[m__2654]) ).
thf(mLEASm,axiom,
! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLEASm]) ).
thf(zip_derived_cl874,plain,
( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtpldt0 @ xR @ xS ) ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtpldt0 @ xP @ xP ) )
= ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtpldt0 @ xR @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtpldt0 @ xR @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtpldt0 @ xP @ xP ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl34]) ).
thf(m__2405,axiom,
sdtlseqdt0 @ ( sdtasdt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtpldt0 @ xR @ xS ) ) ).
thf(zip_derived_cl92,plain,
sdtlseqdt0 @ ( sdtasdt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtpldt0 @ xR @ xS ) ),
inference(cnf,[status(esa)],[m__2405]) ).
thf(zip_derived_cl896,plain,
( ( ( sdtasdt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtpldt0 @ xP @ xP ) )
= ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtpldt0 @ xR @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtpldt0 @ xR @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtpldt0 @ xP @ xP ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl874,zip_derived_cl92]) ).
thf(zip_derived_cl3384,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ xP @ xP ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xP @ xP ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtpldt0 @ xR @ xS ) ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtpldt0 @ xP @ xP ) )
= ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtpldt0 @ xR @ xS ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl896]) ).
thf(zip_derived_cl3394,plain,
( ( ( sdtasdt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtpldt0 @ xP @ xP ) )
= ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtpldt0 @ xR @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtpldt0 @ xR @ xS ) ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xP @ xP ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3384]) ).
thf(m__2628,axiom,
( ( sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ xP @ xP ) )
& ( sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ xR @ xS ) ) ) ).
thf(zip_derived_cl96,plain,
sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ xR @ xS ),
inference(cnf,[status(esa)],[m__2628]) ).
thf(zip_derived_cl95,plain,
sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ xP @ xP ),
inference(cnf,[status(esa)],[m__2628]) ).
thf(mSqrt,axiom,
! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ sz0z00 @ W0 )
& ( sdtlseqdt0 @ sz0z00 @ W1 )
& ( ( sdtasdt0 @ W0 @ W0 )
= ( sdtasdt0 @ W1 @ W1 ) ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtlseqdt0 @ sz0z00 @ X0 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( X0 = X1 )
| ( ( sdtasdt0 @ X0 @ X0 )
!= ( sdtasdt0 @ X1 @ X1 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X1 ) ),
inference(cnf,[status(esa)],[mSqrt]) ).
thf(zip_derived_cl747,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ sz0z00 @ X0 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtpldt0 @ xP @ xP ) )
!= ( sdtasdt0 @ X0 @ X0 ) )
| ( ( sdtpldt0 @ xP @ xP )
= X0 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ ( sdtpldt0 @ xP @ xP ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl42]) ).
thf(zip_derived_cl8175,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ xP @ xP ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ xS ) )
| ( ( sdtpldt0 @ xP @ xP )
= ( sdtpldt0 @ xR @ xS ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtpldt0 @ xP @ xP ) )
!= ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtpldt0 @ xR @ xS ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl747]) ).
thf(m__,conjecture,
( ( sdtpldt0 @ xR @ xS )
= ( sdtpldt0 @ xP @ xP ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( sdtpldt0 @ xR @ xS )
!= ( sdtpldt0 @ xP @ xP ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl98,plain,
( ( sdtpldt0 @ xR @ xS )
!= ( sdtpldt0 @ xP @ xP ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8190,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ xP @ xP ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ xS ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtpldt0 @ xP @ xP ) )
!= ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtpldt0 @ xR @ xS ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8175,zip_derived_cl98]) ).
thf(zip_derived_cl8214,plain,
( ( ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtpldt0 @ xR @ xS ) )
!= ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtpldt0 @ xR @ xS ) ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xP @ xP ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtpldt0 @ xR @ xS ) ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ xS ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xP @ xP ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3394,zip_derived_cl8190]) ).
thf(zip_derived_cl8226,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ xR @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtpldt0 @ xR @ xS ) ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xP @ xP ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8214]) ).
thf(zip_derived_cl8232,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ xR @ xS ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ xS ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xP @ xP ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ xS ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl8226]) ).
thf(zip_derived_cl8239,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ xP @ xP ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ xS ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8232]) ).
thf(zip_derived_cl8250,plain,
( ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ xS ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl8239]) ).
thf(m__1911,axiom,
( ( xP
= ( sdtasdt0 @ xE @ xH ) )
& ( aScalar0 @ xP ) ) ).
thf(zip_derived_cl84,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl84_003,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl8253,plain,
~ ( aScalar0 @ ( sdtpldt0 @ xR @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl8250,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl8258,plain,
( ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ xR ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl8253]) ).
thf(m__1930,axiom,
( ( xS
= ( sdtasdt0 @ xF @ xD ) )
& ( aScalar0 @ xS ) ) ).
thf(zip_derived_cl86,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(m__1892,axiom,
( ( xR
= ( sdtasdt0 @ xC @ xG ) )
& ( aScalar0 @ xR ) ) ).
thf(zip_derived_cl82,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl8259,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl8258,zip_derived_cl86,zip_derived_cl82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG073+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.o2UciKwz87 true
% 0.13/0.34 % Computer : n021.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 02:13:12 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % 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
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.23/1.49 % Solved by fo/fo3_bce.sh.
% 6.23/1.49 % BCE start: 99
% 6.23/1.49 % BCE eliminated: 0
% 6.23/1.49 % PE start: 99
% 6.23/1.49 logic: eq
% 6.23/1.49 % PE eliminated: 1
% 6.23/1.49 % done 879 iterations in 0.732s
% 6.23/1.49 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.23/1.49 % SZS output start Refutation
% See solution above
% 6.23/1.49
% 6.23/1.49
% 6.23/1.49 % Terminating...
% 6.23/1.53 % Runner terminated.
% 6.23/1.55 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------