TSTP Solution File: NUM422+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM422+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.C4yIAT5WaS true
% Computer : n008.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 12:41:20 EDT 2023
% Result : Theorem 31.96s 5.22s
% Output : Refutation 31.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 23
% Syntax : Number of formulae : 118 ( 30 unt; 7 typ; 0 def)
% Number of atoms : 293 ( 80 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1077 ( 178 ~; 155 |; 15 &; 717 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 107 ( 0 ^; 107 !; 0 ?; 107 :)
% Comments :
%------------------------------------------------------------------------------
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(aInteger0_type,type,
aInteger0: $i > $o ).
thf(sz10_type,type,
sz10: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xa_type,type,
xa: $i ).
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(zip_derived_cl3_001,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
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(mMulZero,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz00 )
= sz00 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulZero]) ).
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(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_cl5_002,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntMult]) ).
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(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_cl260,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ sz00 )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ ( smndt0 @ X0 ) ) @ ( sdtasdt0 @ X1 @ X0 ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ ( smndt0 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl16]) ).
thf(zip_derived_cl271,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ X1 @ sz00 )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ ( smndt0 @ X0 ) ) @ ( sdtasdt0 @ X1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl260]) ).
thf(zip_derived_cl3_003,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl5628,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ sz00 )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ ( smndt0 @ X0 ) ) @ ( sdtasdt0 @ X1 @ X0 ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl271,zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
= sz00 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddNeg]) ).
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(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_cl190,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ ( sdtpldt0 @ X1 @ X0 ) )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl6]) ).
thf(zip_derived_cl202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ ( sdtpldt0 @ X1 @ X0 ) )
| ~ ( aInteger0 @ X2 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl190]) ).
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(zip_derived_cl789,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl202,zip_derived_cl4]) ).
thf(zip_derived_cl820,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ X1 @ sz00 )
= ( sdtpldt0 @ ( smndt0 @ X0 ) @ ( sdtpldt0 @ X1 @ X0 ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ ( smndt0 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl789]) ).
thf(zip_derived_cl845,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtpldt0 @ X1 @ sz00 )
= ( sdtpldt0 @ ( smndt0 @ X0 ) @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl820]) ).
thf(zip_derived_cl3_004,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl42080,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ X1 @ sz00 )
= ( sdtpldt0 @ ( smndt0 @ X0 ) @ ( sdtpldt0 @ X1 @ X0 ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl845,zip_derived_cl3]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( X0
= ( sdtasdt0 @ sz10 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulOne]) ).
thf(zip_derived_cl8_005,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl16_006,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_cl256,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ X0 )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ sz00 ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ sz00 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl16]) ).
thf(mIntZero,axiom,
aInteger0 @ sz00 ).
thf(zip_derived_cl1,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl265,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ X0 )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ sz00 ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl1]) ).
thf(zip_derived_cl266,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ X1 @ X0 )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ sz00 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl265]) ).
thf(zip_derived_cl4772,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ sz10 @ X0 )
= ( sdtpldt0 @ X0 @ ( sdtasdt0 @ sz10 @ sz00 ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ sz10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl266]) ).
thf(zip_derived_cl14_007,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz10 )
= X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulOne]) ).
thf(zip_derived_cl15_008,plain,
! [X0: $i] :
( ( X0
= ( sdtasdt0 @ sz10 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulOne]) ).
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_cl228,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ sz10 @ ( sdtasdt0 @ X0 @ X1 ) )
= ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl12]) ).
thf(mIntOne,axiom,
aInteger0 @ sz10 ).
thf(zip_derived_cl2,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl242,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ sz10 @ ( sdtasdt0 @ X0 @ X1 ) )
= ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl2]) ).
thf(zip_derived_cl243,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ sz10 @ ( sdtasdt0 @ X0 @ X1 ) )
= ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl242]) ).
thf(zip_derived_cl316,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ sz10 @ X0 )
= ( sdtasdt0 @ X0 @ sz10 ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ sz10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl243]) ).
thf(zip_derived_cl2_009,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl327,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ sz10 @ X0 )
= ( sdtasdt0 @ X0 @ sz10 ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl316,zip_derived_cl2]) ).
thf(zip_derived_cl328,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ sz10 @ X0 )
= ( sdtasdt0 @ X0 @ sz10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl327]) ).
thf(zip_derived_cl18_010,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz00 )
= sz00 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulZero]) ).
thf(zip_derived_cl350,plain,
( ( ( sdtasdt0 @ sz00 @ sz10 )
= sz00 )
| ~ ( aInteger0 @ sz00 )
| ~ ( aInteger0 @ sz10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl328,zip_derived_cl18]) ).
thf(zip_derived_cl1_011,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl2_012,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl369,plain,
( ( sdtasdt0 @ sz00 @ sz10 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl243_013,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ sz10 @ ( sdtasdt0 @ X0 @ X1 ) )
= ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl242]) ).
thf(zip_derived_cl388,plain,
( ( ( sdtasdt0 @ sz10 @ sz00 )
= ( sdtasdt0 @ sz00 @ sz10 ) )
| ~ ( aInteger0 @ sz00 )
| ~ ( aInteger0 @ sz10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl369,zip_derived_cl243]) ).
thf(zip_derived_cl369_014,plain,
( ( sdtasdt0 @ sz00 @ sz10 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl1_015,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl2_016,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl391,plain,
( ( sdtasdt0 @ sz10 @ sz00 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl388,zip_derived_cl369,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl2_017,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl4861,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ sz10 @ X0 )
= ( sdtpldt0 @ X0 @ sz00 ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4772,zip_derived_cl391,zip_derived_cl2]) ).
thf(zip_derived_cl4862,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ sz10 @ X0 )
= ( sdtpldt0 @ X0 @ sz00 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4861]) ).
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(zip_derived_cl243_018,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ sz10 @ ( sdtasdt0 @ X0 @ X1 ) )
= ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl242]) ).
thf(zip_derived_cl313,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ sz10 @ ( sdtasdt0 @ X1 @ X0 ) )
= ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl243]) ).
thf(zip_derived_cl323,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtasdt0 @ sz10 @ ( sdtasdt0 @ X1 @ X0 ) )
= ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl313]) ).
thf(m__,conjecture,
( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ xa )
= ( smndt0 @ xa ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ xa )
!= ( smndt0 @ xa ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl21,plain,
( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ xa )
!= ( smndt0 @ xa ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14031,plain,
( ( ( sdtasdt0 @ sz10 @ ( sdtasdt0 @ xa @ ( smndt0 @ sz10 ) ) )
!= ( smndt0 @ xa ) )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl323,zip_derived_cl21]) ).
thf(m__446,axiom,
aInteger0 @ xa ).
thf(zip_derived_cl20,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__446]) ).
thf(zip_derived_cl14406,plain,
( ( ( sdtasdt0 @ sz10 @ ( sdtasdt0 @ xa @ ( smndt0 @ sz10 ) ) )
!= ( smndt0 @ xa ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14031,zip_derived_cl20]) ).
thf(zip_derived_cl14480,plain,
( ( ( sdtpldt0 @ ( sdtasdt0 @ xa @ ( smndt0 @ sz10 ) ) @ sz00 )
!= ( smndt0 @ xa ) )
| ~ ( aInteger0 @ ( sdtasdt0 @ xa @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4862,zip_derived_cl14406]) ).
thf(zip_derived_cl42229,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ ( smndt0 @ X0 ) @ ( sdtpldt0 @ ( sdtasdt0 @ xa @ ( smndt0 @ sz10 ) ) @ X0 ) )
!= ( smndt0 @ xa ) )
| ~ ( aInteger0 @ ( sdtasdt0 @ xa @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ ( sdtasdt0 @ xa @ ( smndt0 @ sz10 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl42080,zip_derived_cl14480]) ).
thf(zip_derived_cl42570,plain,
! [X0: $i] :
( ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ ( sdtasdt0 @ xa @ ( smndt0 @ sz10 ) ) )
| ( ( sdtpldt0 @ ( smndt0 @ X0 ) @ ( sdtpldt0 @ ( sdtasdt0 @ xa @ ( smndt0 @ sz10 ) ) @ X0 ) )
!= ( smndt0 @ xa ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl42229]) ).
thf(zip_derived_cl42616,plain,
( ( ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xa @ sz10 ) ) @ ( sdtasdt0 @ xa @ sz00 ) )
!= ( smndt0 @ xa ) )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ ( sdtasdt0 @ xa @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sdtasdt0 @ xa @ sz10 ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5628,zip_derived_cl42570]) ).
thf(zip_derived_cl20_019,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__446]) ).
thf(zip_derived_cl2_020,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl42686,plain,
( ( ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xa @ sz10 ) ) @ ( sdtasdt0 @ xa @ sz00 ) )
!= ( smndt0 @ xa ) )
| ~ ( aInteger0 @ ( sdtasdt0 @ xa @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sdtasdt0 @ xa @ sz10 ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42616,zip_derived_cl20,zip_derived_cl2]) ).
thf(zip_derived_cl44581,plain,
( ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ ( sdtasdt0 @ xa @ sz10 ) )
| ( ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xa @ sz10 ) ) @ ( sdtasdt0 @ xa @ sz00 ) )
!= ( smndt0 @ xa ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl42686]) ).
thf(zip_derived_cl20_021,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__446]) ).
thf(zip_derived_cl44582,plain,
( ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ ( sdtasdt0 @ xa @ sz10 ) )
| ( ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xa @ sz10 ) ) @ ( sdtasdt0 @ xa @ sz00 ) )
!= ( smndt0 @ xa ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44581,zip_derived_cl20]) ).
thf(zip_derived_cl44583,plain,
( ( ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xa @ sz10 ) ) @ ( sdtasdt0 @ xa @ sz00 ) )
!= ( smndt0 @ xa ) )
| ~ ( aInteger0 @ ( sdtasdt0 @ xa @ sz10 ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl44582]) ).
thf(zip_derived_cl45363,plain,
( ( ( sdtpldt0 @ ( smndt0 @ xa ) @ ( sdtasdt0 @ xa @ sz00 ) )
!= ( smndt0 @ xa ) )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ ( sdtasdt0 @ xa @ sz10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl44583]) ).
thf(zip_derived_cl20_022,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__446]) ).
thf(zip_derived_cl45392,plain,
( ( ( sdtpldt0 @ ( smndt0 @ xa ) @ ( sdtasdt0 @ xa @ sz00 ) )
!= ( smndt0 @ xa ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ ( sdtasdt0 @ xa @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45363,zip_derived_cl20]) ).
thf(zip_derived_cl45413,plain,
( ~ ( aInteger0 @ sz10 )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ( ( sdtpldt0 @ ( smndt0 @ xa ) @ ( sdtasdt0 @ xa @ sz00 ) )
!= ( smndt0 @ xa ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl45392]) ).
thf(zip_derived_cl2_023,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl20_024,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__446]) ).
thf(zip_derived_cl45437,plain,
( ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ( ( sdtpldt0 @ ( smndt0 @ xa ) @ ( sdtasdt0 @ xa @ sz00 ) )
!= ( smndt0 @ xa ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45413,zip_derived_cl2,zip_derived_cl20]) ).
thf(zip_derived_cl45466,plain,
( ( ( sdtpldt0 @ ( smndt0 @ xa ) @ sz00 )
!= ( smndt0 @ xa ) )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl45437]) ).
thf(zip_derived_cl20_025,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__446]) ).
thf(zip_derived_cl45473,plain,
( ( ( sdtpldt0 @ ( smndt0 @ xa ) @ sz00 )
!= ( smndt0 @ xa ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45466,zip_derived_cl20]) ).
thf(zip_derived_cl45479,plain,
( ( ( smndt0 @ xa )
!= ( smndt0 @ xa ) )
| ~ ( aInteger0 @ ( smndt0 @ xa ) )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl45473]) ).
thf(zip_derived_cl45484,plain,
( ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ ( smndt0 @ xa ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl45479]) ).
thf(zip_derived_cl45486,plain,
( ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl45484]) ).
thf(zip_derived_cl20_026,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__446]) ).
thf(zip_derived_cl45487,plain,
~ ( aInteger0 @ ( smndt0 @ sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl45486,zip_derived_cl20]) ).
thf(zip_derived_cl45490,plain,
~ ( aInteger0 @ sz10 ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl45487]) ).
thf(zip_derived_cl2_027,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl45491,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl45490,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM422+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.C4yIAT5WaS true
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 15:23:32 EDT 2023
% 0.22/0.36 % CPUTime :
% 0.22/0.36 % Running portfolio for 300 s
% 0.22/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.36 % Number of cores: 8
% 0.22/0.36 % Python version: Python 3.6.8
% 0.22/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.03/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 31.96/5.22 % Solved by fo/fo3_bce.sh.
% 31.96/5.22 % BCE start: 22
% 31.96/5.22 % BCE eliminated: 0
% 31.96/5.22 % PE start: 22
% 31.96/5.22 logic: eq
% 31.96/5.22 % PE eliminated: 0
% 31.96/5.22 % done 1695 iterations in 4.461s
% 31.96/5.22 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 31.96/5.22 % SZS output start Refutation
% See solution above
% 31.96/5.22
% 31.96/5.22
% 31.96/5.22 % Terminating...
% 32.46/5.29 % Runner terminated.
% 32.46/5.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------