TSTP Solution File: RNG063+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG063+2 : 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.Q1iqAF63pj true
% Computer : n017.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 14:06:37 EDT 2023
% Result : Theorem 7.71s 1.71s
% Output : Refutation 7.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 22
% Syntax : Number of formulae : 113 ( 22 unt; 12 typ; 0 def)
% Number of atoms : 362 ( 77 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 2063 ( 280 ~; 239 |; 17 &;1522 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 92 ( 0 ^; 92 !; 0 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
thf(xG_type,type,
xG: $i ).
thf(xR_type,type,
xR: $i ).
thf(xD_type,type,
xD: $i ).
thf(xS_type,type,
xS: $i ).
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(sz0z00_type,type,
sz0z00: $i ).
thf(xF_type,type,
xF: $i ).
thf(xC_type,type,
xC: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(aScalar0_type,type,
aScalar0: $i > $o ).
thf(xN_type,type,
xN: $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(mNegSc,axiom,
! [W0: $i] :
( ( aScalar0 @ W0 )
=> ( aScalar0 @ ( smndt0 @ W0 ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( aScalar0 @ ( smndt0 @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mNegSc]) ).
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_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
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_cl19,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ ( smndt0 @ X0 ) @ X0 )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(mArith,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 )
& ( aScalar0 @ W2 ) )
=> ( ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) )
& ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) )
& ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) )
& ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mArith]) ).
thf(zip_derived_cl568,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ sz0z00 @ X0 )
= ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ ( smndt0 @ X1 ) )
| ~ ( aScalar0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl22]) ).
thf(zip_derived_cl577,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ ( smndt0 @ X1 ) )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtpldt0 @ sz0z00 @ X0 )
= ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl568]) ).
thf(zip_derived_cl13_002,plain,
! [X0: $i] :
( ( aScalar0 @ ( smndt0 @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mNegSc]) ).
thf(zip_derived_cl4248,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ sz0z00 @ X0 )
= ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl577,zip_derived_cl13]) ).
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_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtpldt0 @ X1 @ X0 )
= ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mArith]) ).
thf(zip_derived_cl614,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ X1 @ X0 )
= ( sdtpldt0 @ X0 @ X1 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl22_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mArith]) ).
thf(zip_derived_cl620,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ X1 @ X0 ) )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl614,zip_derived_cl22]) ).
thf(zip_derived_cl656,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ ( sdtpldt0 @ X1 @ X0 ) )
| ( ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl620]) ).
thf(zip_derived_cl11_004,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSumSc]) ).
thf(zip_derived_cl6000,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl656,zip_derived_cl11]) ).
thf(zip_derived_cl22_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mArith]) ).
thf(zip_derived_cl22_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mArith]) ).
thf(zip_derived_cl22_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mArith]) ).
thf(zip_derived_cl565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) @ X3 )
= ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ ( sdtpldt0 @ X0 @ X3 ) ) )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X3 )
| ~ ( aScalar0 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( aScalar0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl22]) ).
thf(zip_derived_cl576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aScalar0 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( aScalar0 @ X3 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X0 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) @ X3 )
= ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ ( sdtpldt0 @ X0 @ X3 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl565]) ).
thf(zip_derived_cl11_008,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSumSc]) ).
thf(zip_derived_cl4017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) @ X3 )
= ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ ( sdtpldt0 @ X0 @ X3 ) ) )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X3 ) ),
inference(clc,[status(thm)],[zip_derived_cl576,zip_derived_cl11]) ).
thf(zip_derived_cl22_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mArith]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz0z00 @ X0 )
= X0 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl4248_010,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ sz0z00 @ X0 )
= ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl577,zip_derived_cl13]) ).
thf(zip_derived_cl614_011,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ X1 @ X0 )
= ( sdtpldt0 @ X0 @ X1 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl22_012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mArith]) ).
thf(zip_derived_cl22_013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mArith]) ).
thf(zip_derived_cl614_014,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ X1 @ X0 )
= ( sdtpldt0 @ X0 @ X1 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl23]) ).
thf(m__,conjecture,
( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) ) @ xN ) @ xN )
= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) ) @ xN ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl101,plain,
( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) ) @ xN ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__2180,axiom,
( ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) ) ) ).
thf(zip_derived_cl98,plain,
( ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
inference(cnf,[status(esa)],[m__2180]) ).
thf(zip_derived_cl425,plain,
( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) ) @ xN ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ),
inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl98]) ).
thf(zip_derived_cl626,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) ) @ xN ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl425]) ).
thf(zip_derived_cl1340,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) @ xN ) ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl626]) ).
thf(m__1949,axiom,
( ( xN
= ( sdtasdt0 @ xR @ xS ) )
& ( aScalar0 @ xN ) ) ).
thf(zip_derived_cl92,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl1351,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) @ xN ) ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1340,zip_derived_cl92]) ).
thf(zip_derived_cl11_015,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSumSc]) ).
thf(zip_derived_cl2692,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) @ xN ) ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1351,zip_derived_cl11]) ).
thf(zip_derived_cl2699,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) ) ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl2692]) ).
thf(zip_derived_cl92_016,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl2712,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) ) ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2699,zip_derived_cl92]) ).
thf(zip_derived_cl2713,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) ) ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2712]) ).
thf(zip_derived_cl11_017,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSumSc]) ).
thf(zip_derived_cl2800,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) ) ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2713,zip_derived_cl11]) ).
thf(zip_derived_cl2805,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ xN @ ( sdtasdt0 @ xS @ xS ) ) ) ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl2800]) ).
thf(zip_derived_cl92_018,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl2815,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ xN @ ( sdtasdt0 @ xS @ xS ) ) ) ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2805,zip_derived_cl92]) ).
thf(zip_derived_cl2816,plain,
( ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ xN @ ( sdtasdt0 @ xS @ xS ) ) ) ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2815]) ).
thf(zip_derived_cl4266,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtpldt0 @ sz0z00 @ ( sdtasdt0 @ xS @ xS ) ) ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4248,zip_derived_cl2816]) ).
thf(zip_derived_cl92_019,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl4337,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtpldt0 @ sz0z00 @ ( sdtasdt0 @ xS @ xS ) ) ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4266,zip_derived_cl92]) ).
thf(zip_derived_cl4338,plain,
( ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtpldt0 @ sz0z00 @ ( sdtasdt0 @ xS @ xS ) ) ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4337]) ).
thf(zip_derived_cl4350,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtasdt0 @ xS @ xS ) ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl4338]) ).
thf(zip_derived_cl4361,plain,
( ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtasdt0 @ xS @ xS ) ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4350]) ).
thf(zip_derived_cl4369,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl4361]) ).
thf(zip_derived_cl4378,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ( ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) @ xN )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4369]) ).
thf(zip_derived_cl4386,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4017,zip_derived_cl4378]) ).
thf(zip_derived_cl92_020,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl4395,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4386,zip_derived_cl92]) ).
thf(zip_derived_cl4396,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ( ( sdtpldt0 @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4395]) ).
thf(zip_derived_cl4506,plain,
( ( ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl4396]) ).
thf(zip_derived_cl4513,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) )
| ( ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4506]) ).
thf(zip_derived_cl6054,plain,
( ( ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6000,zip_derived_cl4513]) ).
thf(zip_derived_cl92_021,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl6321,plain,
( ( ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6054,zip_derived_cl92]) ).
thf(zip_derived_cl6322,plain,
( ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ( ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl6321]) ).
thf(zip_derived_cl6452,plain,
( ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ( ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl6322]) ).
thf(zip_derived_cl92_022,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl6457,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ( ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6452,zip_derived_cl92]) ).
thf(zip_derived_cl6458,plain,
( ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ( ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl6457]) ).
thf(zip_derived_cl6467,plain,
( ( ( sdtpldt0 @ sz0z00 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4248,zip_derived_cl6458]) ).
thf(zip_derived_cl92_023,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl6472,plain,
( ( ( sdtpldt0 @ sz0z00 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6467,zip_derived_cl92]) ).
thf(zip_derived_cl15_024,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz0z00 @ X0 )
= X0 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl6961,plain,
( ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6472,zip_derived_cl15]) ).
thf(zip_derived_cl11_025,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSumSc]) ).
thf(zip_derived_cl6962,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6961,zip_derived_cl11]) ).
thf(zip_derived_cl6965,plain,
( ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl6962]) ).
thf(m__1930,axiom,
( ( xS
= ( sdtasdt0 @ xF @ xD ) )
& ( aScalar0 @ xS ) ) ).
thf(zip_derived_cl90,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl90_026,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl6969,plain,
( ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6965,zip_derived_cl90,zip_derived_cl90]) ).
thf(zip_derived_cl6974,plain,
( ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl6969]) ).
thf(m__1892,axiom,
( ( xR
= ( sdtasdt0 @ xC @ xG ) )
& ( aScalar0 @ xR ) ) ).
thf(zip_derived_cl86,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl86_027,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl6977,plain,
~ ( aScalar0 @ ( smndt0 @ xN ) ),
inference(demod,[status(thm)],[zip_derived_cl6974,zip_derived_cl86,zip_derived_cl86]) ).
thf(zip_derived_cl6983,plain,
~ ( aScalar0 @ xN ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl6977]) ).
thf(zip_derived_cl92_028,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl6985,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6983,zip_derived_cl92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG063+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Q1iqAF63pj true
% 0.13/0.34 % Computer : n017.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 02:25:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/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
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 1.10/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.10/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.10/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.10/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.10/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.10/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.10/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.71/1.71 % Solved by fo/fo3_bce.sh.
% 7.71/1.71 % BCE start: 102
% 7.71/1.71 % BCE eliminated: 0
% 7.71/1.71 % PE start: 102
% 7.71/1.71 logic: eq
% 7.71/1.71 % PE eliminated: 1
% 7.71/1.71 % done 957 iterations in 0.968s
% 7.71/1.71 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.71/1.71 % SZS output start Refutation
% See solution above
% 7.71/1.71
% 7.71/1.71
% 7.71/1.71 % Terminating...
% 7.71/1.77 % Runner terminated.
% 7.71/1.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------