TSTP Solution File: GRP685+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP685+1 : 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.KVxfLstJ2s true
% Computer : n007.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 01:52:56 EDT 2023
% Result : Theorem 7.55s 1.64s
% Output : Refutation 7.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 120 ( 108 unt; 6 typ; 0 def)
% Number of atoms : 120 ( 119 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 1165 ( 11 ~; 4 |; 2 &;1148 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 218 ( 0 ^; 218 !; 0 ?; 218 :)
% Comments :
%------------------------------------------------------------------------------
thf(rd_type,type,
rd: $i > $i > $i ).
thf(mult_type,type,
mult: $i > $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(ld_type,type,
ld: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(goals,conjecture,
! [X6: $i,X7: $i,X8: $i] :
( ( ( rd @ ( mult @ X6 @ ( rd @ X7 @ X8 ) ) @ ( rd @ X7 @ X8 ) )
= ( rd @ ( mult @ X6 @ X8 ) @ X8 ) )
& ( ( rd @ ( mult @ X6 @ ( ld @ X7 @ X8 ) ) @ ( ld @ X7 @ X8 ) )
= ( rd @ ( mult @ X6 @ X8 ) @ X8 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X6: $i,X7: $i,X8: $i] :
( ( ( rd @ ( mult @ X6 @ ( rd @ X7 @ X8 ) ) @ ( rd @ X7 @ X8 ) )
= ( rd @ ( mult @ X6 @ X8 ) @ X8 ) )
& ( ( rd @ ( mult @ X6 @ ( ld @ X7 @ X8 ) ) @ ( ld @ X7 @ X8 ) )
= ( rd @ ( mult @ X6 @ X8 ) @ X8 ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl7,plain,
( ( ( rd @ ( mult @ sk_ @ ( rd @ sk__1 @ sk__2 ) ) @ ( rd @ sk__1 @ sk__2 ) )
!= ( rd @ ( mult @ sk_ @ sk__2 ) @ sk__2 ) )
| ( ( rd @ ( mult @ sk_ @ ( ld @ sk__1 @ sk__2 ) ) @ ( ld @ sk__1 @ sk__2 ) )
!= ( rd @ ( mult @ sk_ @ sk__2 ) @ sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(f04,axiom,
! [B: $i,A: $i] :
( ( mult @ ( rd @ A @ B ) @ B )
= ( rd @ ( mult @ A @ B ) @ B ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( rd @ ( mult @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl3_001,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( rd @ ( mult @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl3_002,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( rd @ ( mult @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl3_003,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( rd @ ( mult @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl9,plain,
( ( ( mult @ ( rd @ sk_ @ ( rd @ sk__1 @ sk__2 ) ) @ ( rd @ sk__1 @ sk__2 ) )
!= ( mult @ ( rd @ sk_ @ sk__2 ) @ sk__2 ) )
| ( ( mult @ ( rd @ sk_ @ ( ld @ sk__1 @ sk__2 ) ) @ ( ld @ sk__1 @ sk__2 ) )
!= ( mult @ ( rd @ sk_ @ sk__2 ) @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl3,zip_derived_cl3,zip_derived_cl3,zip_derived_cl3]) ).
thf(f03,axiom,
! [B: $i,A: $i] :
( ( mult @ A @ ( ld @ A @ B ) )
= ( ld @ A @ ( mult @ A @ B ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( mult @ X0 @ ( ld @ X0 @ X1 ) )
= ( ld @ X0 @ ( mult @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[f03]) ).
thf(f07,axiom,
! [B: $i,A: $i] :
( ( ld @ A @ ( mult @ A @ ( ld @ B @ B ) ) )
= ( rd @ ( mult @ ( rd @ A @ A ) @ B ) @ B ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( ld @ X0 @ ( mult @ X0 @ ( ld @ X1 @ X1 ) ) )
= ( rd @ ( mult @ ( rd @ X0 @ X0 ) @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[f07]) ).
thf(zip_derived_cl3_004,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( rd @ ( mult @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( ld @ X0 @ ( mult @ X0 @ ( ld @ X1 @ X1 ) ) )
= ( mult @ ( rd @ ( rd @ X0 @ X0 ) @ X1 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl3]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( ld @ X0 @ ( ld @ X0 @ ( mult @ X0 @ X0 ) ) )
= ( mult @ ( rd @ ( rd @ X0 @ X0 ) @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl12]) ).
thf(f01,axiom,
! [A: $i] :
( ( ld @ A @ ( mult @ A @ A ) )
= A ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( ld @ X0 @ ( mult @ X0 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( ld @ X0 @ X0 )
= ( mult @ ( rd @ ( rd @ X0 @ X0 ) @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).
thf(zip_derived_cl3_005,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( rd @ ( mult @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[f04]) ).
thf(f02,axiom,
! [A: $i] :
( ( rd @ ( mult @ A @ A ) @ A )
= A ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( rd @ ( mult @ X0 @ X0 ) @ X0 )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( mult @ ( rd @ X0 @ X0 ) @ X0 )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl3_006,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( rd @ ( mult @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ( mult @ ( rd @ ( rd @ X0 @ X0 ) @ X0 ) @ X0 )
= ( rd @ X0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl3]) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( ld @ X0 @ X0 )
= ( rd @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl17]) ).
thf(zip_derived_cl2_007,plain,
! [X0: $i,X1: $i] :
( ( mult @ X0 @ ( ld @ X0 @ X1 ) )
= ( ld @ X0 @ ( mult @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ( mult @ X0 @ ( rd @ X0 @ X0 ) )
= ( ld @ X0 @ ( mult @ X0 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl2]) ).
thf(zip_derived_cl0_008,plain,
! [X0: $i] :
( ( ld @ X0 @ ( mult @ X0 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ( mult @ X0 @ ( rd @ X0 @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl0]) ).
thf(zip_derived_cl1_009,plain,
! [X0: $i] :
( ( rd @ ( mult @ X0 @ X0 ) @ X0 )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(f06,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( rd @ ( mult @ ( mult @ A @ B ) @ ( rd @ C @ D ) ) @ ( rd @ C @ D ) )
= ( mult @ A @ ( rd @ ( mult @ B @ D ) @ D ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( rd @ ( mult @ ( mult @ X0 @ X1 ) @ ( rd @ X3 @ X2 ) ) @ ( rd @ X3 @ X2 ) )
= ( mult @ X0 @ ( rd @ ( mult @ X1 @ X2 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[f06]) ).
thf(zip_derived_cl3_010,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( rd @ ( mult @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( rd @ ( mult @ ( mult @ X0 @ X1 ) @ ( rd @ X3 @ X2 ) ) @ ( rd @ X3 @ X2 ) )
= ( mult @ X0 @ ( mult @ ( rd @ X1 @ X2 ) @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl3]) ).
thf(zip_derived_cl168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rd @ ( mult @ ( mult @ X2 @ X1 ) @ ( rd @ ( mult @ X0 @ X0 ) @ X0 ) ) @ X0 )
= ( mult @ X2 @ ( mult @ ( rd @ X1 @ X0 ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl164]) ).
thf(zip_derived_cl1_011,plain,
! [X0: $i] :
( ( rd @ ( mult @ X0 @ X0 ) @ X0 )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl3_012,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( rd @ ( mult @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ ( rd @ ( mult @ X2 @ X1 ) @ X0 ) @ X0 )
= ( mult @ X2 @ ( mult @ ( rd @ X1 @ X0 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl222,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( mult @ X0 @ ( mult @ ( rd @ ( rd @ X0 @ X0 ) @ X1 ) @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl55,zip_derived_cl184]) ).
thf(zip_derived_cl12_013,plain,
! [X0: $i,X1: $i] :
( ( ld @ X0 @ ( mult @ X0 @ ( ld @ X1 @ X1 ) ) )
= ( mult @ ( rd @ ( rd @ X0 @ X0 ) @ X1 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl3]) ).
thf(zip_derived_cl22_014,plain,
! [X0: $i] :
( ( ld @ X0 @ X0 )
= ( rd @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl17]) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i] :
( ( ld @ X0 @ ( mult @ X0 @ ( rd @ X1 @ X1 ) ) )
= ( mult @ ( rd @ ( rd @ X0 @ X0 ) @ X1 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl22]) ).
thf(zip_derived_cl2_015,plain,
! [X0: $i,X1: $i] :
( ( mult @ X0 @ ( ld @ X0 @ X1 ) )
= ( ld @ X0 @ ( mult @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl122,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( mult @ ( rd @ ( rd @ X1 @ X1 ) @ X0 ) @ X0 ) )
= ( ld @ X1 @ ( mult @ X1 @ ( mult @ X1 @ ( rd @ X0 @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl51,zip_derived_cl2]) ).
thf(zip_derived_cl0_016,plain,
! [X0: $i] :
( ( ld @ X0 @ ( mult @ X0 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl0_017,plain,
! [X0: $i] :
( ( ld @ X0 @ ( mult @ X0 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(f05,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ld @ ( ld @ A @ B ) @ ( mult @ ( ld @ A @ B ) @ ( mult @ C @ D ) ) )
= ( mult @ ( ld @ A @ ( mult @ A @ C ) ) @ D ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ld @ ( ld @ X0 @ X3 ) @ ( mult @ ( ld @ X0 @ X3 ) @ ( mult @ X1 @ X2 ) ) )
= ( mult @ ( ld @ X0 @ ( mult @ X0 @ X1 ) ) @ X2 ) ),
inference(cnf,[status(esa)],[f05]) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ld @ ( ld @ X0 @ ( mult @ X0 @ X0 ) ) @ ( mult @ X0 @ ( mult @ X2 @ X1 ) ) )
= ( mult @ ( ld @ X0 @ ( mult @ X0 @ X2 ) ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).
thf(zip_derived_cl0_018,plain,
! [X0: $i] :
( ( ld @ X0 @ ( mult @ X0 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ld @ X0 @ ( mult @ X0 @ ( mult @ X2 @ X1 ) ) )
= ( mult @ ( ld @ X0 @ ( mult @ X0 @ X2 ) ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl0]) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ( ld @ X0 @ ( mult @ X0 @ ( mult @ X0 @ X1 ) ) )
= ( mult @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl41]) ).
thf(zip_derived_cl134,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( mult @ ( rd @ ( rd @ X1 @ X1 ) @ X0 ) @ X0 ) )
= ( mult @ X1 @ ( rd @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl81]) ).
thf(zip_derived_cl235,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( mult @ X0 @ ( rd @ X1 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl134]) ).
thf(zip_derived_cl235_019,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( mult @ X0 @ ( rd @ X1 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl134]) ).
thf(zip_derived_cl235_020,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( mult @ X0 @ ( rd @ X1 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl134]) ).
thf(zip_derived_cl235_021,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( mult @ X0 @ ( rd @ X1 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl134]) ).
thf(zip_derived_cl243,plain,
( ( ( mult @ sk_ @ ( rd @ ( rd @ sk__1 @ sk__2 ) @ ( rd @ sk__1 @ sk__2 ) ) )
!= ( mult @ sk_ @ ( rd @ sk__2 @ sk__2 ) ) )
| ( ( mult @ sk_ @ ( rd @ ( ld @ sk__1 @ sk__2 ) @ ( ld @ sk__1 @ sk__2 ) ) )
!= ( mult @ sk_ @ ( rd @ sk__2 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl235,zip_derived_cl235,zip_derived_cl235,zip_derived_cl235]) ).
thf(zip_derived_cl3_022,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( rd @ ( mult @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl235_023,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( mult @ X0 @ ( rd @ X1 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl134]) ).
thf(zip_derived_cl242,plain,
! [X0: $i,X1: $i] :
( ( mult @ X0 @ ( rd @ X1 @ X1 ) )
= ( rd @ ( mult @ X0 @ X1 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl235]) ).
thf(zip_derived_cl55_024,plain,
! [X0: $i] :
( ( mult @ X0 @ ( rd @ X0 @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl0]) ).
thf(zip_derived_cl164_025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( rd @ ( mult @ ( mult @ X0 @ X1 ) @ ( rd @ X3 @ X2 ) ) @ ( rd @ X3 @ X2 ) )
= ( mult @ X0 @ ( mult @ ( rd @ X1 @ X2 ) @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl3]) ).
thf(zip_derived_cl177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rd @ ( mult @ X0 @ ( rd @ X2 @ X1 ) ) @ ( rd @ X2 @ X1 ) )
= ( mult @ X0 @ ( mult @ ( rd @ ( rd @ X0 @ X0 ) @ X1 ) @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl55,zip_derived_cl164]) ).
thf(zip_derived_cl134_026,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( mult @ ( rd @ ( rd @ X1 @ X1 ) @ X0 ) @ X0 ) )
= ( mult @ X1 @ ( rd @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl81]) ).
thf(zip_derived_cl192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rd @ ( mult @ X0 @ ( rd @ X2 @ X1 ) ) @ ( rd @ X2 @ X1 ) )
= ( mult @ X0 @ ( rd @ X1 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl134]) ).
thf(zip_derived_cl678,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X2 @ ( rd @ ( rd @ X1 @ X0 ) @ ( rd @ X1 @ X0 ) ) )
= ( mult @ X2 @ ( rd @ X0 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl242,zip_derived_cl192]) ).
thf(zip_derived_cl2067,plain,
( ( ( mult @ sk_ @ ( rd @ sk__2 @ sk__2 ) )
!= ( mult @ sk_ @ ( rd @ sk__2 @ sk__2 ) ) )
| ( ( mult @ sk_ @ ( rd @ ( ld @ sk__1 @ sk__2 ) @ ( ld @ sk__1 @ sk__2 ) ) )
!= ( mult @ sk_ @ ( rd @ sk__2 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl678]) ).
thf(zip_derived_cl2068,plain,
( ( mult @ sk_ @ ( rd @ ( ld @ sk__1 @ sk__2 ) @ ( ld @ sk__1 @ sk__2 ) ) )
!= ( mult @ sk_ @ ( rd @ sk__2 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2067]) ).
thf(zip_derived_cl2_027,plain,
! [X0: $i,X1: $i] :
( ( mult @ X0 @ ( ld @ X0 @ X1 ) )
= ( ld @ X0 @ ( mult @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl235_028,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( mult @ X0 @ ( rd @ X1 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl134]) ).
thf(zip_derived_cl51_029,plain,
! [X0: $i,X1: $i] :
( ( ld @ X0 @ ( mult @ X0 @ ( rd @ X1 @ X1 ) ) )
= ( mult @ ( rd @ ( rd @ X0 @ X0 ) @ X1 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl22]) ).
thf(zip_derived_cl235_030,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( mult @ X0 @ ( rd @ X1 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl134]) ).
thf(zip_derived_cl244,plain,
! [X0: $i,X1: $i] :
( ( ld @ X0 @ ( mult @ X0 @ ( rd @ X1 @ X1 ) ) )
= ( mult @ ( rd @ X0 @ X0 ) @ ( rd @ X1 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl235]) ).
thf(zip_derived_cl41_031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ld @ X0 @ ( mult @ X0 @ ( mult @ X2 @ X1 ) ) )
= ( mult @ ( ld @ X0 @ ( mult @ X0 @ X2 ) ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl0]) ).
thf(zip_derived_cl455,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ld @ X1 @ ( mult @ X1 @ ( mult @ ( rd @ X0 @ X0 ) @ X2 ) ) )
= ( mult @ ( mult @ ( rd @ X1 @ X1 ) @ ( rd @ X0 @ X0 ) ) @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl244,zip_derived_cl41]) ).
thf(zip_derived_cl3268,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ ( mult @ X0 @ ( rd @ X0 @ X0 ) ) ) )
= ( mult @ ( mult @ ( rd @ X1 @ X1 ) @ ( rd @ X0 @ X0 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl235,zip_derived_cl455]) ).
thf(zip_derived_cl55_032,plain,
! [X0: $i] :
( ( mult @ X0 @ ( rd @ X0 @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl0]) ).
thf(zip_derived_cl3_033,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( rd @ ( mult @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl184_034,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ ( rd @ ( mult @ X2 @ X1 ) @ X0 ) @ X0 )
= ( mult @ X2 @ ( mult @ ( rd @ X1 @ X0 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl218,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( mult @ ( rd @ X1 @ X0 ) @ X0 ) @ X0 )
= ( mult @ X1 @ ( mult @ ( rd @ X0 @ X0 ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl184]) ).
thf(zip_derived_cl10_035,plain,
! [X0: $i] :
( ( mult @ ( rd @ X0 @ X0 ) @ X0 )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl232,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( mult @ ( rd @ X1 @ X0 ) @ X0 ) @ X0 )
= ( mult @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl218,zip_derived_cl10]) ).
thf(zip_derived_cl235_036,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( mult @ X0 @ ( rd @ X1 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl134]) ).
thf(zip_derived_cl311,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( mult @ X1 @ ( rd @ X0 @ X0 ) ) @ X0 )
= ( mult @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl232,zip_derived_cl235]) ).
thf(zip_derived_cl3298,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= ( mult @ ( rd @ X1 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3268,zip_derived_cl55,zip_derived_cl311]) ).
thf(zip_derived_cl3317,plain,
! [X0: $i,X1: $i] :
( ( mult @ X0 @ ( ld @ X0 @ X1 ) )
= ( mult @ ( rd @ X0 @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3298]) ).
thf(zip_derived_cl242_037,plain,
! [X0: $i,X1: $i] :
( ( mult @ X0 @ ( rd @ X1 @ X1 ) )
= ( rd @ ( mult @ X0 @ X1 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl235]) ).
thf(zip_derived_cl235_038,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( mult @ X0 @ ( rd @ X1 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl134]) ).
thf(zip_derived_cl260,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( mult @ X1 @ ( rd @ X0 @ X0 ) ) @ X0 )
= ( mult @ ( mult @ X1 @ X0 ) @ ( rd @ X0 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl242,zip_derived_cl235]) ).
thf(zip_derived_cl311_039,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( mult @ X1 @ ( rd @ X0 @ X0 ) ) @ X0 )
= ( mult @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl232,zip_derived_cl235]) ).
thf(zip_derived_cl480,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ X0 )
= ( mult @ ( mult @ X1 @ X0 ) @ ( rd @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl311]) ).
thf(zip_derived_cl242_040,plain,
! [X0: $i,X1: $i] :
( ( mult @ X0 @ ( rd @ X1 @ X1 ) )
= ( rd @ ( mult @ X0 @ X1 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl235]) ).
thf(zip_derived_cl482,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( mult @ X1 @ X0 ) @ ( rd @ ( rd @ X0 @ X0 ) @ ( rd @ X0 @ X0 ) ) )
= ( rd @ ( mult @ X1 @ X0 ) @ ( rd @ X0 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl480,zip_derived_cl242]) ).
thf(zip_derived_cl235_041,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( mult @ X0 @ ( rd @ X1 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl134]) ).
thf(zip_derived_cl17_042,plain,
! [X0: $i] :
( ( mult @ ( rd @ ( rd @ X0 @ X0 ) @ X0 ) @ X0 )
= ( rd @ X0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl3]) ).
thf(zip_derived_cl252,plain,
! [X0: $i] :
( ( mult @ ( rd @ X0 @ X0 ) @ ( rd @ X0 @ X0 ) )
= ( rd @ X0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl235,zip_derived_cl17]) ).
thf(zip_derived_cl1_043,plain,
! [X0: $i] :
( ( rd @ ( mult @ X0 @ X0 ) @ X0 )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl334,plain,
! [X0: $i] :
( ( rd @ ( rd @ X0 @ X0 ) @ ( rd @ X0 @ X0 ) )
= ( rd @ X0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl252,zip_derived_cl1]) ).
thf(zip_derived_cl480_044,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ X0 )
= ( mult @ ( mult @ X1 @ X0 ) @ ( rd @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl311]) ).
thf(zip_derived_cl515,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ X0 )
= ( rd @ ( mult @ X1 @ X0 ) @ ( rd @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl482,zip_derived_cl334,zip_derived_cl480]) ).
thf(zip_derived_cl192_045,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rd @ ( mult @ X0 @ ( rd @ X2 @ X1 ) ) @ ( rd @ X2 @ X1 ) )
= ( mult @ X0 @ ( rd @ X1 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl134]) ).
thf(zip_derived_cl683,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rd @ ( mult @ X2 @ ( rd @ ( mult @ X1 @ X0 ) @ ( rd @ X0 @ X0 ) ) ) @ ( mult @ X1 @ X0 ) )
= ( mult @ X2 @ ( rd @ ( rd @ X0 @ X0 ) @ ( rd @ X0 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl515,zip_derived_cl192]) ).
thf(zip_derived_cl515_046,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ X0 )
= ( rd @ ( mult @ X1 @ X0 ) @ ( rd @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl482,zip_derived_cl334,zip_derived_cl480]) ).
thf(zip_derived_cl242_047,plain,
! [X0: $i,X1: $i] :
( ( mult @ X0 @ ( rd @ X1 @ X1 ) )
= ( rd @ ( mult @ X0 @ X1 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl235]) ).
thf(zip_derived_cl334_048,plain,
! [X0: $i] :
( ( rd @ ( rd @ X0 @ X0 ) @ ( rd @ X0 @ X0 ) )
= ( rd @ X0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl252,zip_derived_cl1]) ).
thf(zip_derived_cl707,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X2 @ ( rd @ ( mult @ X1 @ X0 ) @ ( mult @ X1 @ X0 ) ) )
= ( mult @ X2 @ ( rd @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl515,zip_derived_cl242,zip_derived_cl334]) ).
thf(zip_derived_cl3372,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X2 @ ( rd @ ( mult @ X1 @ ( ld @ X1 @ X0 ) ) @ ( mult @ ( rd @ X1 @ X1 ) @ X0 ) ) )
= ( mult @ X2 @ ( rd @ ( ld @ X1 @ X0 ) @ ( ld @ X1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3317,zip_derived_cl707]) ).
thf(zip_derived_cl3317_049,plain,
! [X0: $i,X1: $i] :
( ( mult @ X0 @ ( ld @ X0 @ X1 ) )
= ( mult @ ( rd @ X0 @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3298]) ).
thf(zip_derived_cl707_050,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X2 @ ( rd @ ( mult @ X1 @ X0 ) @ ( mult @ X1 @ X0 ) ) )
= ( mult @ X2 @ ( rd @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl515,zip_derived_cl242,zip_derived_cl334]) ).
thf(zip_derived_cl3397,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X2 @ ( rd @ X0 @ X0 ) )
= ( mult @ X2 @ ( rd @ ( ld @ X1 @ X0 ) @ ( ld @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3372,zip_derived_cl3317,zip_derived_cl707]) ).
thf(zip_derived_cl6312,plain,
( ( mult @ sk_ @ ( rd @ sk__2 @ sk__2 ) )
!= ( mult @ sk_ @ ( rd @ sk__2 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2068,zip_derived_cl3397]) ).
thf(zip_derived_cl6313,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl6312]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP685+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KVxfLstJ2s true
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 00:50:43 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.55/1.64 % Solved by fo/fo4.sh.
% 7.55/1.64 % done 250 iterations in 0.870s
% 7.55/1.64 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.55/1.64 % SZS output start Refutation
% See solution above
% 7.55/1.64
% 7.55/1.64
% 7.55/1.64 % Terminating...
% 7.96/1.75 % Runner terminated.
% 7.96/1.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------