TSTP Solution File: NUM428+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM428+3 : 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.m5YlHpR1Cv 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 12:41:22 EDT 2023
% Result : Theorem 101.51s 15.21s
% Output : Refutation 101.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 29
% Syntax : Number of formulae : 176 ( 52 unt; 14 typ; 0 def)
% Number of atoms : 428 ( 113 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1649 ( 247 ~; 219 |; 34 &;1136 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 9 con; 0-3 aty)
% Number of variables : 168 ( 0 ^; 162 !; 6 ?; 168 :)
% Comments :
%------------------------------------------------------------------------------
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(xa_type,type,
xa: $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(aInteger0_type,type,
aInteger0: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sz10_type,type,
sz10: $i ).
thf(xq_type,type,
xq: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xc_type,type,
xc: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(aDivisorOf0_type,type,
aDivisorOf0: $i > $i > $o ).
thf(sdteqdtlpzmzozddtrp0_type,type,
sdteqdtlpzmzozddtrp0: $i > $i > $i > $o ).
thf(xb_type,type,
xb: $i ).
thf(mIntPlus,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( aInteger0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntPlus]) ).
thf(mMulComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(mMulAsso,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 ) )
=> ( ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[mMulAsso]) ).
thf(zip_derived_cl400,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtasdt0 @ X0 @ ( sdtasdt0 @ X1 @ X2 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl12]) ).
thf(zip_derived_cl426,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtasdt0 @ X0 @ ( sdtasdt0 @ X1 @ X2 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 ) )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl400]) ).
thf(mMulOne,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz10 )
= W0 )
& ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz10 )
= X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulOne]) ).
thf(zip_derived_cl38388,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ sz10 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ sz10 ) )
= ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( aInteger0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl426,zip_derived_cl14]) ).
thf(mIntOne,axiom,
aInteger0 @ sz10 ).
thf(zip_derived_cl2,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl38570,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ sz10 ) )
= ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( aInteger0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38388,zip_derived_cl2]) ).
thf(mIntMult,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( aInteger0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntMult]) ).
thf(zip_derived_cl38869,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ sz10 ) )
= ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl38570,zip_derived_cl5]) ).
thf(zip_derived_cl426_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtasdt0 @ X0 @ ( sdtasdt0 @ X1 @ X2 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 ) )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl400]) ).
thf(zip_derived_cl12_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[mMulAsso]) ).
thf(zip_derived_cl38447,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X2 @ X0 ) )
= ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl426,zip_derived_cl12]) ).
thf(zip_derived_cl38593,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X2 @ X0 ) )
= ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl38447]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( X0
= ( sdtasdt0 @ sz10 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulOne]) ).
thf(zip_derived_cl38869_003,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ sz10 ) )
= ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl38570,zip_derived_cl5]) ).
thf(zip_derived_cl38954,plain,
! [X0: $i] :
( ~ ( aInteger0 @ sz10 )
| ( ( sdtasdt0 @ X0 @ sz10 )
= ( sdtasdt0 @ sz10 @ X0 ) )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl38869]) ).
thf(zip_derived_cl2_004,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl2_005,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl38969,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz10 )
= ( sdtasdt0 @ sz10 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl38954,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl12_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[mMulAsso]) ).
thf(zip_derived_cl13_007,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl5_008,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntMult]) ).
thf(zip_derived_cl13_009,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl12_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[mMulAsso]) ).
thf(zip_derived_cl13_011,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(m__,conjecture,
( ( ? [W0: $i] :
( ( ( sdtasdt0 @ xq @ W0 )
= ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
& ( aInteger0 @ W0 ) )
& ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
& ( sdteqdtlpzmzozddtrp0 @ xa @ xb @ xq )
& ? [W0: $i] :
( ( ( sdtasdt0 @ xq @ W0 )
= ( sdtpldt0 @ xb @ ( smndt0 @ xc ) ) )
& ( aInteger0 @ W0 ) )
& ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xb @ ( smndt0 @ xc ) ) )
& ( sdteqdtlpzmzozddtrp0 @ xb @ xc @ xq ) )
=> ( ? [W0: $i] :
( ( ( sdtasdt0 @ xq @ W0 )
= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
& ( aInteger0 @ W0 ) )
| ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ( sdteqdtlpzmzozddtrp0 @ xa @ xc @ xq ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ? [W0: $i] :
( ( ( sdtasdt0 @ xq @ W0 )
= ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
& ( aInteger0 @ W0 ) )
& ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
& ( sdteqdtlpzmzozddtrp0 @ xa @ xb @ xq )
& ? [W0: $i] :
( ( ( sdtasdt0 @ xq @ W0 )
= ( sdtpldt0 @ xb @ ( smndt0 @ xc ) ) )
& ( aInteger0 @ W0 ) )
& ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xb @ ( smndt0 @ xc ) ) )
& ( sdteqdtlpzmzozddtrp0 @ xb @ xc @ xq ) )
=> ( ? [W0: $i] :
( ( ( sdtasdt0 @ xq @ W0 )
= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
& ( aInteger0 @ W0 ) )
| ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ( sdteqdtlpzmzozddtrp0 @ xa @ xc @ xq ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xq @ X0 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl402,plain,
! [X0: $i] :
( ~ ( aInteger0 @ xq )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ X0 @ xq )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl45]) ).
thf(m__818,axiom,
( ( aInteger0 @ xc )
& ( xq != sz00 )
& ( aInteger0 @ xq )
& ( aInteger0 @ xb )
& ( aInteger0 @ xa ) ) ).
thf(zip_derived_cl34,plain,
aInteger0 @ xq,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl428,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ X0 @ xq )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl402,zip_derived_cl34]) ).
thf(zip_derived_cl429,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ xq )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl428]) ).
thf(zip_derived_cl437,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ xq )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ xq ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ ( sdtasdt0 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl429]) ).
thf(zip_derived_cl34_012,plain,
aInteger0 @ xq,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl442,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ xq ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl437,zip_derived_cl34]) ).
thf(zip_derived_cl5_013,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntMult]) ).
thf(zip_derived_cl756,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ xq ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl442,zip_derived_cl5]) ).
thf(zip_derived_cl757,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ ( sdtasdt0 @ X1 @ xq ) )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ xq ) @ X0 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl756]) ).
thf(zip_derived_cl769,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X1 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ xq ) @ X0 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ ( sdtasdt0 @ X1 @ xq ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl757]) ).
thf(zip_derived_cl1215,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ xq )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ X0 @ xq ) @ X1 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl769]) ).
thf(zip_derived_cl34_014,plain,
aInteger0 @ xq,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl1222,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ X0 @ xq ) @ X1 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1215,zip_derived_cl34]) ).
thf(zip_derived_cl1223,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X1 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ X0 @ xq ) @ X1 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1222]) ).
thf(zip_derived_cl2552,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ xq )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xq @ X0 ) @ X1 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1223]) ).
thf(zip_derived_cl34_015,plain,
aInteger0 @ xq,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl2564,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xq @ X0 ) @ X1 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2552,zip_derived_cl34]) ).
thf(zip_derived_cl2565,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ ( sdtasdt0 @ xq @ X0 ) @ X1 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2564]) ).
thf(zip_derived_cl3052,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ xq )
| ~ ( aInteger0 @ X1 )
| ( ( sdtasdt0 @ xq @ ( sdtasdt0 @ X1 @ X0 ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl2565]) ).
thf(zip_derived_cl34_016,plain,
aInteger0 @ xq,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl3063,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtasdt0 @ xq @ ( sdtasdt0 @ X1 @ X0 ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3052,zip_derived_cl34]) ).
thf(zip_derived_cl3064,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ xq @ ( sdtasdt0 @ X1 @ X0 ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3063]) ).
thf(zip_derived_cl39805,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ xq @ ( sdtasdt0 @ X0 @ sz10 ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38969,zip_derived_cl3064]) ).
thf(zip_derived_cl2_017,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl39890,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ xq @ ( sdtasdt0 @ X0 @ sz10 ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl39805,zip_derived_cl2]) ).
thf(zip_derived_cl39891,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xq @ ( sdtasdt0 @ X0 @ sz10 ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl39890]) ).
thf(zip_derived_cl66526,plain,
! [X0: $i] :
( ~ ( aInteger0 @ xq )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ sz10 )
| ( ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xq @ sz10 ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38593,zip_derived_cl39891]) ).
thf(zip_derived_cl34_018,plain,
aInteger0 @ xq,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl2_019,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl67096,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xq @ sz10 ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl66526,zip_derived_cl34,zip_derived_cl2]) ).
thf(zip_derived_cl67097,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xq @ sz10 ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl67096]) ).
thf(zip_derived_cl70941,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ xq )
| ( ( sdtasdt0 @ xq @ X0 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38869,zip_derived_cl67097]) ).
thf(zip_derived_cl34_020,plain,
aInteger0 @ xq,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl70955,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ xq @ X0 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl70941,zip_derived_cl34]) ).
thf(zip_derived_cl70956,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xq @ X0 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl70955]) ).
thf(mIntNeg,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( aInteger0 @ ( smndt0 @ W0 ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(mAddComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(mAddNeg,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
= sz00 )
& ( sz00
= ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( sz00
= ( sdtpldt0 @ ( smndt0 @ X0 ) @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddNeg]) ).
thf(zip_derived_cl3_021,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl37,plain,
( ( sdtasdt0 @ xq @ sk__2 )
= ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mAddAsso,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 ) )
=> ( ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl278,plain,
! [X0: $i] :
( ~ ( aInteger0 @ ( smndt0 @ xb ) )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ xa @ ( sdtpldt0 @ ( smndt0 @ xb ) @ X0 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__2 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl6]) ).
thf(zip_derived_cl36,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl281,plain,
! [X0: $i] :
( ~ ( aInteger0 @ ( smndt0 @ xb ) )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ xa @ ( sdtpldt0 @ ( smndt0 @ xb ) @ X0 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__2 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl278,zip_derived_cl36]) ).
thf(zip_derived_cl327,plain,
! [X0: $i] :
( ~ ( aInteger0 @ xb )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ xa @ ( sdtpldt0 @ ( smndt0 @ xb ) @ X0 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__2 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl281]) ).
thf(zip_derived_cl35,plain,
aInteger0 @ xb,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl328,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ xa @ ( sdtpldt0 @ ( smndt0 @ xb ) @ X0 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__2 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl327,zip_derived_cl35]) ).
thf(zip_derived_cl690,plain,
( ~ ( aInteger0 @ xb )
| ~ ( aInteger0 @ xb )
| ( ( sdtpldt0 @ xa @ sz00 )
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__2 ) @ xb ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl328]) ).
thf(zip_derived_cl35_022,plain,
aInteger0 @ xb,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl35_023,plain,
aInteger0 @ xb,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl694,plain,
( ( sdtpldt0 @ xa @ sz00 )
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__2 ) @ xb ) ),
inference(demod,[status(thm)],[zip_derived_cl690,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl7_024,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl698,plain,
( ~ ( aInteger0 @ ( sdtasdt0 @ xq @ sk__2 ) )
| ~ ( aInteger0 @ xb )
| ( ( sdtpldt0 @ xa @ sz00 )
= ( sdtpldt0 @ xb @ ( sdtasdt0 @ xq @ sk__2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl694,zip_derived_cl7]) ).
thf(zip_derived_cl3_025,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl37_026,plain,
( ( sdtasdt0 @ xq @ sk__2 )
= ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_027,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntPlus]) ).
thf(zip_derived_cl268,plain,
( ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ ( smndt0 @ xb ) )
| ( aInteger0 @ ( sdtasdt0 @ xq @ sk__2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl4]) ).
thf(zip_derived_cl36_028,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl269,plain,
( ~ ( aInteger0 @ ( smndt0 @ xb ) )
| ( aInteger0 @ ( sdtasdt0 @ xq @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl268,zip_derived_cl36]) ).
thf(zip_derived_cl273,plain,
( ~ ( aInteger0 @ xb )
| ( aInteger0 @ ( sdtasdt0 @ xq @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl269]) ).
thf(zip_derived_cl35_029,plain,
aInteger0 @ xb,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl274,plain,
aInteger0 @ ( sdtasdt0 @ xq @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl35]) ).
thf(zip_derived_cl35_030,plain,
aInteger0 @ xb,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl702,plain,
( ( sdtpldt0 @ xa @ sz00 )
= ( sdtpldt0 @ xb @ ( sdtasdt0 @ xq @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl274,zip_derived_cl35]) ).
thf(zip_derived_cl6_031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl886,plain,
! [X0: $i] :
( ~ ( aInteger0 @ ( sdtasdt0 @ xq @ sk__2 ) )
| ~ ( aInteger0 @ xb )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ xb @ ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__2 ) @ X0 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ xa @ sz00 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl702,zip_derived_cl6]) ).
thf(zip_derived_cl274_032,plain,
aInteger0 @ ( sdtasdt0 @ xq @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl35]) ).
thf(zip_derived_cl35_033,plain,
aInteger0 @ xb,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl888,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ xb @ ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__2 ) @ X0 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ xa @ sz00 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl886,zip_derived_cl274,zip_derived_cl35]) ).
thf(zip_derived_cl1412,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ ( sdtasdt0 @ xq @ sk__2 ) )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ xb @ ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xq @ sk__2 ) ) )
= ( sdtpldt0 @ ( sdtpldt0 @ xa @ sz00 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl888]) ).
thf(zip_derived_cl274_034,plain,
aInteger0 @ ( sdtasdt0 @ xq @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl35]) ).
thf(zip_derived_cl1422,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ xb @ ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xq @ sk__2 ) ) )
= ( sdtpldt0 @ ( sdtpldt0 @ xa @ sz00 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1412,zip_derived_cl274]) ).
thf(zip_derived_cl1423,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xb @ ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xq @ sk__2 ) ) )
= ( sdtpldt0 @ ( sdtpldt0 @ xa @ sz00 ) @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1422]) ).
thf(mAddZero,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl8_035,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl694_036,plain,
( ( sdtpldt0 @ xa @ sz00 )
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__2 ) @ xb ) ),
inference(demod,[status(thm)],[zip_derived_cl690,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl6_037,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl699,plain,
! [X0: $i] :
( ~ ( aInteger0 @ xb )
| ~ ( aInteger0 @ ( sdtasdt0 @ xq @ sk__2 ) )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__2 ) @ ( sdtpldt0 @ xb @ X0 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ xa @ sz00 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl694,zip_derived_cl6]) ).
thf(zip_derived_cl35_038,plain,
aInteger0 @ xb,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl274_039,plain,
aInteger0 @ ( sdtasdt0 @ xq @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl35]) ).
thf(zip_derived_cl703,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__2 ) @ ( sdtpldt0 @ xb @ X0 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ xa @ sz00 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl699,zip_derived_cl35,zip_derived_cl274]) ).
thf(zip_derived_cl976,plain,
( ~ ( aInteger0 @ xb )
| ~ ( aInteger0 @ sz00 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__2 ) @ xb )
= ( sdtpldt0 @ ( sdtpldt0 @ xa @ sz00 ) @ sz00 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl703]) ).
thf(zip_derived_cl35_040,plain,
aInteger0 @ xb,
inference(cnf,[status(esa)],[m__818]) ).
thf(mIntZero,axiom,
aInteger0 @ sz00 ).
thf(zip_derived_cl1,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl694_041,plain,
( ( sdtpldt0 @ xa @ sz00 )
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__2 ) @ xb ) ),
inference(demod,[status(thm)],[zip_derived_cl690,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl985,plain,
( ( sdtpldt0 @ xa @ sz00 )
= ( sdtpldt0 @ ( sdtpldt0 @ xa @ sz00 ) @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl976,zip_derived_cl35,zip_derived_cl1,zip_derived_cl694]) ).
thf(zip_derived_cl1396,plain,
( ~ ( aInteger0 @ xa )
| ( xa
= ( sdtpldt0 @ xa @ sz00 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl985]) ).
thf(zip_derived_cl36_042,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl1399,plain,
( xa
= ( sdtpldt0 @ xa @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1396,zip_derived_cl36]) ).
thf(zip_derived_cl4580,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xb @ ( sdtpldt0 @ X0 @ ( sdtasdt0 @ xq @ sk__2 ) ) )
= ( sdtpldt0 @ xa @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1423,zip_derived_cl1399]) ).
thf(zip_derived_cl3_043,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl41,plain,
( ( sdtasdt0 @ xq @ sk__1 )
= ( sdtpldt0 @ xb @ ( smndt0 @ xc ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_044,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl279,plain,
! [X0: $i] :
( ~ ( aInteger0 @ ( smndt0 @ xc ) )
| ~ ( aInteger0 @ xb )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ xb @ ( sdtpldt0 @ ( smndt0 @ xc ) @ X0 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__1 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl6]) ).
thf(zip_derived_cl35_045,plain,
aInteger0 @ xb,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl282,plain,
! [X0: $i] :
( ~ ( aInteger0 @ ( smndt0 @ xc ) )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ xb @ ( sdtpldt0 @ ( smndt0 @ xc ) @ X0 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__1 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl279,zip_derived_cl35]) ).
thf(zip_derived_cl329,plain,
! [X0: $i] :
( ~ ( aInteger0 @ xc )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ xb @ ( sdtpldt0 @ ( smndt0 @ xc ) @ X0 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__1 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl282]) ).
thf(zip_derived_cl32,plain,
aInteger0 @ xc,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl330,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ xb @ ( sdtpldt0 @ ( smndt0 @ xc ) @ X0 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__1 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl32]) ).
thf(zip_derived_cl4594,plain,
( ~ ( aInteger0 @ ( smndt0 @ xc ) )
| ~ ( aInteger0 @ ( sdtasdt0 @ xq @ sk__2 ) )
| ( ( sdtpldt0 @ xa @ ( smndt0 @ xc ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__1 ) @ ( sdtasdt0 @ xq @ sk__2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4580,zip_derived_cl330]) ).
thf(zip_derived_cl274_046,plain,
aInteger0 @ ( sdtasdt0 @ xq @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl35]) ).
thf(zip_derived_cl4631,plain,
( ~ ( aInteger0 @ ( smndt0 @ xc ) )
| ( ( sdtpldt0 @ xa @ ( smndt0 @ xc ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__1 ) @ ( sdtasdt0 @ xq @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4594,zip_derived_cl274]) ).
thf(zip_derived_cl5674,plain,
( ~ ( aInteger0 @ xc )
| ( ( sdtpldt0 @ xa @ ( smndt0 @ xc ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__1 ) @ ( sdtasdt0 @ xq @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl4631]) ).
thf(zip_derived_cl32_047,plain,
aInteger0 @ xc,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl5675,plain,
( ( sdtpldt0 @ xa @ ( smndt0 @ xc ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ sk__1 ) @ ( sdtasdt0 @ xq @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5674,zip_derived_cl32]) ).
thf(mDistrib,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ( ( sdtasdt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mDistrib]) ).
thf(zip_derived_cl70117,plain,
( ~ ( aInteger0 @ sk__1 )
| ~ ( aInteger0 @ xq )
| ~ ( aInteger0 @ sk__2 )
| ( ( sdtasdt0 @ xq @ ( sdtpldt0 @ sk__1 @ sk__2 ) )
= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5675,zip_derived_cl16]) ).
thf(zip_derived_cl42,plain,
aInteger0 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34_048,plain,
aInteger0 @ xq,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl38,plain,
aInteger0 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl70195,plain,
( ( sdtasdt0 @ xq @ ( sdtpldt0 @ sk__1 @ sk__2 ) )
= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) ),
inference(demod,[status(thm)],[zip_derived_cl70117,zip_derived_cl42,zip_derived_cl34,zip_derived_cl38]) ).
thf(zip_derived_cl71516,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xq @ X0 )
!= ( sdtasdt0 @ xq @ ( sdtpldt0 @ sk__1 @ sk__2 ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl70956,zip_derived_cl70195]) ).
thf(zip_derived_cl71530,plain,
~ ( aInteger0 @ ( sdtpldt0 @ sk__1 @ sk__2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl71516]) ).
thf(zip_derived_cl71545,plain,
( ~ ( aInteger0 @ sk__2 )
| ~ ( aInteger0 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl71530]) ).
thf(zip_derived_cl38_049,plain,
aInteger0 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42_050,plain,
aInteger0 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71546,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl71545,zip_derived_cl38,zip_derived_cl42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM428+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.m5YlHpR1Cv true
% 0.16/0.35 % Computer : n021.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Fri Aug 25 17:49:56 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.16/0.35 % Running portfolio for 300 s
% 0.16/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.35 % Number of cores: 8
% 0.16/0.35 % Python version: Python 3.6.8
% 0.16/0.36 % Running in FO mode
% 0.22/0.62 % Total configuration time : 435
% 0.22/0.62 % Estimated wc time : 1092
% 0.22/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 101.51/15.21 % Solved by fo/fo6_bce.sh.
% 101.51/15.21 % BCE start: 48
% 101.51/15.21 % BCE eliminated: 0
% 101.51/15.21 % PE start: 48
% 101.51/15.21 logic: eq
% 101.51/15.21 % PE eliminated: 0
% 101.51/15.21 % done 5492 iterations in 14.483s
% 101.51/15.21 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 101.51/15.21 % SZS output start Refutation
% See solution above
% 101.51/15.21
% 101.51/15.21
% 101.51/15.21 % Terminating...
% 101.78/15.28 % Runner terminated.
% 101.78/15.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------