TSTP Solution File: NUM461+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM461+2 : 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.RjR4cxTAPQ 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 12:41:36 EDT 2023
% Result : Theorem 0.55s 0.91s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 17
% Syntax : Number of formulae : 85 ( 25 unt; 8 typ; 0 def)
% Number of atoms : 220 ( 102 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 866 ( 130 ~; 95 |; 21 &; 593 @)
% ( 0 <=>; 5 =>; 22 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 67 ( 0 ^; 62 !; 5 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(xn_type,type,
xn: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xm_type,type,
xm: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xl_type,type,
xl: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(mAddComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(m__840_03,axiom,
( ( sdtlseqdt0 @ xl @ xn )
& ? [W0: $i] :
( ( ( sdtpldt0 @ xl @ W0 )
= xn )
& ( aNaturalNumber0 @ W0 ) )
& ( xl != xn ) ) ).
thf(zip_derived_cl39,plain,
( ( sdtpldt0 @ xl @ sk__1 )
= xn ),
inference(cnf,[status(esa)],[m__840_03]) ).
thf(zip_derived_cl6_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(mAddAsso,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl186,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ X1 @ X2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl7]) ).
thf(zip_derived_cl194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ X1 @ X2 ) ) )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl186]) ).
thf(m__,conjecture,
( ( ( sdtpldt0 @ xm @ xl )
!= ( sdtpldt0 @ xm @ xn ) )
& ( ( sdtlseqdt0 @ ( sdtpldt0 @ xm @ xl ) @ ( sdtpldt0 @ xm @ xn ) )
| ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ xm @ xl ) @ W0 )
= ( sdtpldt0 @ xm @ xn ) )
& ( aNaturalNumber0 @ W0 ) ) )
& ( ( sdtpldt0 @ xl @ xm )
!= ( sdtpldt0 @ xn @ xm ) )
& ( ( sdtlseqdt0 @ ( sdtpldt0 @ xl @ xm ) @ ( sdtpldt0 @ xn @ xm ) )
| ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ xl @ xm ) @ W0 )
= ( sdtpldt0 @ xn @ xm ) )
& ( aNaturalNumber0 @ W0 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( sdtpldt0 @ xm @ xl )
!= ( sdtpldt0 @ xm @ xn ) )
& ( ( sdtlseqdt0 @ ( sdtpldt0 @ xm @ xl ) @ ( sdtpldt0 @ xm @ xn ) )
| ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ xm @ xl ) @ W0 )
= ( sdtpldt0 @ xm @ xn ) )
& ( aNaturalNumber0 @ W0 ) ) )
& ( ( sdtpldt0 @ xl @ xm )
!= ( sdtpldt0 @ xn @ xm ) )
& ( ( sdtlseqdt0 @ ( sdtpldt0 @ xl @ xm ) @ ( sdtpldt0 @ xn @ xm ) )
| ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ xl @ xm ) @ W0 )
= ( sdtpldt0 @ xn @ xm ) )
& ( aNaturalNumber0 @ W0 ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ xm @ xl )
= ( sdtpldt0 @ xm @ xn ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xm @ xl ) @ X0 )
!= ( sdtpldt0 @ xm @ xn ) )
| ( ( sdtpldt0 @ xl @ xm )
= ( sdtpldt0 @ xn @ xm ) )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xl @ xm ) @ X1 )
!= ( sdtpldt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51,plain,
( ! [X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xl @ xm ) @ X1 )
!= ( sdtpldt0 @ xn @ xm ) ) )
<= ! [X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xl @ xm ) @ X1 )
!= ( sdtpldt0 @ xn @ xm ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl39_002,plain,
( ( sdtpldt0 @ xl @ sk__1 )
= xn ),
inference(cnf,[status(esa)],[m__840_03]) ).
thf(zip_derived_cl7_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xm @ xl )
= ( sdtpldt0 @ xm @ xn ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xm @ xl ) @ X0 )
!= ( sdtpldt0 @ xm @ xn ) )
| ( ( sdtpldt0 @ xl @ xm )
= ( sdtpldt0 @ xn @ xm ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ xl @ xm ) @ ( sdtpldt0 @ xn @ xm ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl47,plain,
( ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xm @ xl ) @ X0 )
!= ( sdtpldt0 @ xm @ xn ) ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xm @ xl ) @ X0 )
!= ( sdtpldt0 @ xm @ xn ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf(zip_derived_cl184,plain,
( ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xl )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ xm @ ( sdtpldt0 @ xl @ X0 ) )
!= ( sdtpldt0 @ xm @ xn ) ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xm @ xl ) @ X0 )
!= ( sdtpldt0 @ xm @ xn ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl47]) ).
thf(m__873,axiom,
aNaturalNumber0 @ xm ).
thf(zip_derived_cl42,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__873]) ).
thf(m__840,axiom,
( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xl ) ) ).
thf(zip_derived_cl37,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__840]) ).
thf(zip_derived_cl210,plain,
( ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ xm @ ( sdtpldt0 @ xl @ X0 ) )
!= ( sdtpldt0 @ xm @ xn ) ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xm @ xl ) @ X0 )
!= ( sdtpldt0 @ xm @ xn ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl42,zip_derived_cl37]) ).
thf(zip_derived_cl211,plain,
( ! [X0: $i] :
( ( ( sdtpldt0 @ xm @ ( sdtpldt0 @ xl @ X0 ) )
!= ( sdtpldt0 @ xm @ xn ) )
| ~ ( aNaturalNumber0 @ X0 ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xm @ xl ) @ X0 )
!= ( sdtpldt0 @ xm @ xn ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl324,plain,
( ( ( ( sdtpldt0 @ xm @ xn )
!= ( sdtpldt0 @ xm @ xn ) )
| ~ ( aNaturalNumber0 @ sk__1 ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xm @ xl ) @ X0 )
!= ( sdtpldt0 @ xm @ xn ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl211]) ).
thf(zip_derived_cl40,plain,
aNaturalNumber0 @ sk__1,
inference(cnf,[status(esa)],[m__840_03]) ).
thf(zip_derived_cl330,plain,
( ( ( sdtpldt0 @ xm @ xn )
!= ( sdtpldt0 @ xm @ xn ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xm @ xl ) @ X0 )
!= ( sdtpldt0 @ xm @ xn ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl324,zip_derived_cl40]) ).
thf('0',plain,
~ ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xm @ xl ) @ X0 )
!= ( sdtpldt0 @ xm @ xn ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl330]) ).
thf(zip_derived_cl49,plain,
( ( ( sdtpldt0 @ xl @ xm )
= ( sdtpldt0 @ xn @ xm ) )
<= ( ( sdtpldt0 @ xl @ xm )
= ( sdtpldt0 @ xn @ xm ) ) ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf(mAddCanc,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W0 @ W2 ) )
| ( ( sdtpldt0 @ W1 @ W0 )
= ( sdtpldt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X0 = X2 )
| ( ( sdtpldt0 @ X0 @ X1 )
!= ( sdtpldt0 @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[mAddCanc]) ).
thf(zip_derived_cl611,plain,
( ! [X0: $i] :
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X0 )
| ( xn = X0 )
| ( ( sdtpldt0 @ xl @ xm )
!= ( sdtpldt0 @ X0 @ xm ) ) )
<= ( ( sdtpldt0 @ xl @ xm )
= ( sdtpldt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl18]) ).
thf(zip_derived_cl36,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__840]) ).
thf(zip_derived_cl42_004,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__873]) ).
thf(zip_derived_cl644,plain,
( ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( xn = X0 )
| ( ( sdtpldt0 @ xl @ xm )
!= ( sdtpldt0 @ X0 @ xm ) ) )
<= ( ( sdtpldt0 @ xl @ xm )
= ( sdtpldt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl36,zip_derived_cl42]) ).
thf(zip_derived_cl672,plain,
( ( ( xn = xl )
| ~ ( aNaturalNumber0 @ xl ) )
<= ( ( sdtpldt0 @ xl @ xm )
= ( sdtpldt0 @ xn @ xm ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl644]) ).
thf(zip_derived_cl37_005,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__840]) ).
thf(zip_derived_cl673,plain,
( ( xn = xl )
<= ( ( sdtpldt0 @ xl @ xm )
= ( sdtpldt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl672,zip_derived_cl37]) ).
thf(zip_derived_cl38,plain,
xl != xn,
inference(cnf,[status(esa)],[m__840_03]) ).
thf('1',plain,
( ( sdtpldt0 @ xl @ xm )
!= ( sdtpldt0 @ xn @ xm ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl673,zip_derived_cl38]) ).
thf(zip_derived_cl50,plain,
( ( ( sdtpldt0 @ xm @ xl )
= ( sdtpldt0 @ xm @ xn ) )
<= ( ( sdtpldt0 @ xm @ xl )
= ( sdtpldt0 @ xm @ xn ) ) ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf(zip_derived_cl6_006,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl123,plain,
( ( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( ( sdtpldt0 @ xm @ xl )
= ( sdtpldt0 @ xn @ xm ) ) )
<= ( ( sdtpldt0 @ xm @ xl )
= ( sdtpldt0 @ xm @ xn ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl6]) ).
thf(zip_derived_cl42_007,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__873]) ).
thf(zip_derived_cl36_008,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__840]) ).
thf(zip_derived_cl128,plain,
( ( ( sdtpldt0 @ xm @ xl )
= ( sdtpldt0 @ xn @ xm ) )
<= ( ( sdtpldt0 @ xm @ xl )
= ( sdtpldt0 @ xm @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl42,zip_derived_cl36]) ).
thf(zip_derived_cl6_009,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl162,plain,
( ( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xl )
| ( ( sdtpldt0 @ xn @ xm )
= ( sdtpldt0 @ xl @ xm ) ) )
<= ( ( sdtpldt0 @ xm @ xl )
= ( sdtpldt0 @ xm @ xn ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl128,zip_derived_cl6]) ).
thf(zip_derived_cl42_010,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__873]) ).
thf(zip_derived_cl37_011,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__840]) ).
thf(zip_derived_cl168,plain,
( ( ( sdtpldt0 @ xn @ xm )
= ( sdtpldt0 @ xl @ xm ) )
<= ( ( sdtpldt0 @ xm @ xl )
= ( sdtpldt0 @ xm @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl42,zip_derived_cl37]) ).
thf(m_AddZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
thf(zip_derived_cl51_012,plain,
( ! [X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xl @ xm ) @ X1 )
!= ( sdtpldt0 @ xn @ xm ) ) )
<= ! [X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xl @ xm ) @ X1 )
!= ( sdtpldt0 @ xn @ xm ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl80,plain,
( ( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xl @ xm ) )
| ~ ( aNaturalNumber0 @ sz00 )
| ( ( sdtpldt0 @ xl @ xm )
!= ( sdtpldt0 @ xn @ xm ) ) )
<= ! [X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xl @ xm ) @ X1 )
!= ( sdtpldt0 @ xn @ xm ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl51]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl84,plain,
( ( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xl @ xm ) )
| ( ( sdtpldt0 @ xl @ xm )
!= ( sdtpldt0 @ xn @ xm ) ) )
<= ! [X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xl @ xm ) @ X1 )
!= ( sdtpldt0 @ xn @ xm ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl1]) ).
thf(zip_derived_cl87,plain,
( ( ( sdtpldt0 @ xl @ xm )
!= ( sdtpldt0 @ xn @ xm ) )
<= ( ( sdtpldt0 @ xl @ xm )
!= ( sdtpldt0 @ xn @ xm ) ) ),
inference(split,[status(esa)],[zip_derived_cl84]) ).
thf(zip_derived_cl338,plain,
( ( ( sdtpldt0 @ xl @ xm )
!= ( sdtpldt0 @ xl @ xm ) )
<= ( ( ( sdtpldt0 @ xl @ xm )
!= ( sdtpldt0 @ xn @ xm ) )
& ( ( sdtpldt0 @ xm @ xl )
= ( sdtpldt0 @ xm @ xn ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl87]) ).
thf('2',plain,
( ( ( sdtpldt0 @ xm @ xl )
!= ( sdtpldt0 @ xm @ xn ) )
| ( ( sdtpldt0 @ xl @ xm )
= ( sdtpldt0 @ xn @ xm ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl338]) ).
thf('3',plain,
( ! [X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xl @ xm ) @ X1 )
!= ( sdtpldt0 @ xn @ xm ) ) )
| ( ( sdtpldt0 @ xm @ xl )
= ( sdtpldt0 @ xm @ xn ) )
| ( ( sdtpldt0 @ xl @ xm )
= ( sdtpldt0 @ xn @ xm ) )
| ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xm @ xl ) @ X0 )
!= ( sdtpldt0 @ xm @ xn ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf('4',plain,
! [X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xl @ xm ) @ X1 )
!= ( sdtpldt0 @ xn @ xm ) ) ),
inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).
thf(zip_derived_cl692,plain,
! [X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xl @ xm ) @ X1 )
!= ( sdtpldt0 @ xn @ xm ) ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl51,'4']) ).
thf(zip_derived_cl1486,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xl )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ xm @ ( sdtpldt0 @ xl @ X0 ) )
!= ( sdtpldt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl692]) ).
thf(zip_derived_cl37_013,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__840]) ).
thf(zip_derived_cl42_014,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__873]) ).
thf(zip_derived_cl1526,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ xm @ ( sdtpldt0 @ xl @ X0 ) )
!= ( sdtpldt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1486,zip_derived_cl37,zip_derived_cl42]) ).
thf(zip_derived_cl1527,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xm @ ( sdtpldt0 @ xl @ X0 ) )
!= ( sdtpldt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1526]) ).
thf(zip_derived_cl1532,plain,
( ( ( sdtpldt0 @ xm @ xn )
!= ( sdtpldt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl1527]) ).
thf(zip_derived_cl40_015,plain,
aNaturalNumber0 @ sk__1,
inference(cnf,[status(esa)],[m__840_03]) ).
thf(zip_derived_cl1539,plain,
( ( sdtpldt0 @ xm @ xn )
!= ( sdtpldt0 @ xn @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl1532,zip_derived_cl40]) ).
thf(zip_derived_cl1540,plain,
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtpldt0 @ xn @ xm )
!= ( sdtpldt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1539]) ).
thf(zip_derived_cl36_016,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__840]) ).
thf(zip_derived_cl42_017,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__873]) ).
thf(zip_derived_cl1542,plain,
( ( sdtpldt0 @ xn @ xm )
!= ( sdtpldt0 @ xn @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl1540,zip_derived_cl36,zip_derived_cl42]) ).
thf(zip_derived_cl1543,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1542]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM461+2 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RjR4cxTAPQ true
% 0.13/0.34 % Computer : n023.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 : Fri Aug 25 10:23:42 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
% 0.54/0.63 % Total configuration time : 435
% 0.54/0.63 % Estimated wc time : 1092
% 0.54/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.91 % Solved by fo/fo1_av.sh.
% 0.55/0.91 % done 415 iterations in 0.156s
% 0.55/0.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.91 % SZS output start Refutation
% See solution above
% 0.55/0.91
% 0.55/0.91
% 0.55/0.91 % Terminating...
% 0.57/0.95 % Runner terminated.
% 0.57/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------