%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP660+2 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gCrrO1sJdF true
% Computer : n011.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 Oct 2 04:37:00 PM UTC 2025
% Result : Theorem 63.88s 15.38s
% Output : Refutation 63.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 6
% Syntax : Number of formulae : 112 ( 108 unt; 0 typ; 0 def)
% Number of atoms : 116 ( 115 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 891 ( 7 ~; 2 |; 2 &; 880 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 205 ( 0 ^; 205 !; 0 ?; 205 :)
% Comments :
%------------------------------------------------------------------------------
thf(rd_type,type,
rd: $i > $i > $i ).
thf(ld_type,type,
ld: $i > $i > $i ).
thf(mult_type,type,
mult: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__type,type,
sk_: $i ).
thf(goals,conjecture,
! [X0: $i,X1: $i] :
( ( ( mult @ ( rd @ X1 @ X1 ) @ X0 )
= X0 )
& ( ( mult @ X0 @ ( rd @ X1 @ X1 ) )
= X0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i] :
( ( ( mult @ ( rd @ X1 @ X1 ) @ X0 )
= X0 )
& ( ( mult @ X0 @ ( rd @ X1 @ X1 ) )
= X0 ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl5,plain,
( ( ( mult @ ( rd @ sk__1 @ sk__1 ) @ sk_ )
!= sk_ )
| ( ( mult @ sk_ @ ( rd @ sk__1 @ sk__1 ) )
!= sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(f03,axiom,
! [B: $i,A: $i] :
( ( mult @ ( rd @ A @ B ) @ B )
= A ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl2_002,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f03]) ).
thf(f05,axiom,
! [C: $i,B: $i,A: $i] :
( ( mult @ ( mult @ ( mult @ A @ B ) @ C ) @ A )
= ( mult @ A @ ( mult @ B @ ( mult @ C @ A ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X2 ) @ X0 )
= ( mult @ X0 @ ( mult @ X1 @ ( mult @ X2 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[f05]) ).
thf(f04,axiom,
! [B: $i,A: $i] :
( ( rd @ ( mult @ A @ B ) @ B )
= A ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rd @ ( mult @ X0 @ ( mult @ X2 @ ( mult @ X1 @ X0 ) ) ) @ X0 )
= ( mult @ ( mult @ X0 @ X2 ) @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rd @ ( mult @ X1 @ ( mult @ X2 @ X0 ) ) @ X1 )
= ( mult @ ( mult @ X1 @ X2 ) @ ( rd @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl19]) ).
thf(zip_derived_cl3_003,plain,
! [X0: $i,X1: $i] :
( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( mult @ ( mult @ X1 @ X0 ) @ X1 ) @ ( rd @ X0 @ ( mult @ X1 @ X0 ) ) )
= ( mult @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl3]) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( mult @ X0 @ ( rd @ X0 @ X1 ) ) @ ( rd @ X1 @ X0 ) )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl48]) ).
thf(f02,axiom,
! [B: $i,A: $i] :
( ( ld @ A @ ( mult @ A @ B ) )
= B ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl120,plain,
! [X0: $i,X1: $i] :
( ( ld @ ( mult @ X0 @ ( rd @ X0 @ X1 ) ) @ X0 )
= ( rd @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl110,zip_derived_cl1]) ).
thf(f01,axiom,
! [B: $i,A: $i] :
( ( mult @ A @ ( ld @ A @ B ) )
= B ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl48_005,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( mult @ ( mult @ X1 @ X0 ) @ X1 ) @ ( rd @ X0 @ ( mult @ X1 @ X0 ) ) )
= ( mult @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl3]) ).
thf(zip_derived_cl106,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( mult @ X0 @ X1 ) @ ( rd @ ( ld @ X1 @ X0 ) @ X0 ) )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl48]) ).
thf(zip_derived_cl1_006,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl270,plain,
! [X0: $i,X1: $i] :
( ( ld @ ( mult @ X0 @ X1 ) @ X0 )
= ( rd @ ( ld @ X1 @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl106,zip_derived_cl1]) ).
thf(zip_derived_cl2_007,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl426,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( ld @ ( mult @ X0 @ X1 ) @ X0 ) @ X0 )
= ( ld @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl270,zip_derived_cl2]) ).
thf(zip_derived_cl683,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( ld @ X0 @ X1 ) @ X1 )
= ( ld @ ( ld @ X1 @ X0 ) @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl426]) ).
thf(zip_derived_cl0_008,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl859,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( ld @ X0 @ X1 ) @ ( mult @ ( ld @ X1 @ X0 ) @ X0 ) )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl683,zip_derived_cl0]) ).
thf(zip_derived_cl1092,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X1 @ X0 ) @ ( mult @ ( ld @ X0 @ ( mult @ X0 @ ( rd @ X0 @ X1 ) ) ) @ ( mult @ X0 @ ( rd @ X0 @ X1 ) ) ) )
= ( mult @ X0 @ ( rd @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl120,zip_derived_cl859]) ).
thf(zip_derived_cl1_009,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl1107,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X1 @ X0 ) @ ( mult @ ( rd @ X0 @ X1 ) @ ( mult @ X0 @ ( rd @ X0 @ X1 ) ) ) )
= ( mult @ X0 @ ( rd @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1092,zip_derived_cl1]) ).
thf(zip_derived_cl19_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rd @ ( mult @ X0 @ ( mult @ X2 @ ( mult @ X1 @ X0 ) ) ) @ X0 )
= ( mult @ ( mult @ X0 @ X2 ) @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).
thf(zip_derived_cl1158,plain,
! [X0: $i] :
( ( rd @ ( mult @ X0 @ ( rd @ X0 @ X0 ) ) @ ( rd @ X0 @ X0 ) )
= ( mult @ ( mult @ ( rd @ X0 @ X0 ) @ ( rd @ X0 @ X0 ) ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1107,zip_derived_cl19]) ).
thf(zip_derived_cl3_011,plain,
! [X0: $i,X1: $i] :
( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl1208,plain,
! [X0: $i] :
( X0
= ( mult @ ( mult @ ( rd @ X0 @ X0 ) @ ( rd @ X0 @ X0 ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1158,zip_derived_cl3]) ).
thf(zip_derived_cl3_012,plain,
! [X0: $i,X1: $i] :
( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl1223,plain,
! [X0: $i] :
( ( rd @ X0 @ X0 )
= ( mult @ ( rd @ X0 @ X0 ) @ ( rd @ X0 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1208,zip_derived_cl3]) ).
thf(zip_derived_cl2_013,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl0_014,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl4_015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X2 ) @ X0 )
= ( mult @ X0 @ ( mult @ X1 @ ( mult @ X2 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[f05]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ ( mult @ X0 @ X2 ) @ X1 )
= ( mult @ X1 @ ( mult @ ( ld @ X1 @ X0 ) @ ( mult @ X2 @ X1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).
thf(zip_derived_cl385,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ ( mult @ X2 @ ( rd @ X0 @ X1 ) ) @ X1 )
= ( mult @ X1 @ ( mult @ ( ld @ X1 @ X2 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl24]) ).
thf(zip_derived_cl2_016,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl0_017,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl4_018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X2 ) @ X0 )
= ( mult @ X0 @ ( mult @ X1 @ ( mult @ X2 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[f05]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X0 @ X1 )
= ( mult @ X1 @ ( mult @ X2 @ ( mult @ ( ld @ ( mult @ X1 @ X2 ) @ X0 ) @ X1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).
thf(zip_derived_cl264,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X2 @ ( rd @ X0 @ X1 ) )
= ( mult @ ( rd @ X0 @ X1 ) @ ( mult @ X1 @ ( mult @ ( ld @ X0 @ X2 ) @ ( rd @ X0 @ X1 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl22]) ).
thf(zip_derived_cl15763,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( rd @ X0 @ X0 ) )
= ( mult @ ( rd @ X0 @ X0 ) @ ( mult @ ( mult @ X1 @ ( rd @ ( rd @ X0 @ X0 ) @ X0 ) ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl385,zip_derived_cl264]) ).
thf(zip_derived_cl1223_019,plain,
! [X0: $i] :
( ( rd @ X0 @ X0 )
= ( mult @ ( rd @ X0 @ X0 ) @ ( rd @ X0 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1208,zip_derived_cl3]) ).
thf(zip_derived_cl2_020,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl4_021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X2 ) @ X0 )
= ( mult @ X0 @ ( mult @ X1 @ ( mult @ X2 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[f05]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ ( mult @ X0 @ X2 ) @ ( rd @ X0 @ X1 ) )
= ( mult @ ( rd @ X0 @ X1 ) @ ( mult @ X1 @ ( mult @ X2 @ ( rd @ X0 @ X1 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).
thf(zip_derived_cl1292,plain,
! [X0: $i] :
( ( mult @ ( mult @ X0 @ ( rd @ X0 @ X0 ) ) @ ( rd @ X0 @ X0 ) )
= ( mult @ ( rd @ X0 @ X0 ) @ ( mult @ X0 @ ( rd @ X0 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1223,zip_derived_cl26]) ).
thf(zip_derived_cl110_022,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( mult @ X0 @ ( rd @ X0 @ X1 ) ) @ ( rd @ X1 @ X0 ) )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl48]) ).
thf(zip_derived_cl1297,plain,
! [X0: $i] :
( X0
= ( mult @ ( rd @ X0 @ X0 ) @ ( mult @ X0 @ ( rd @ X0 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1292,zip_derived_cl110]) ).
thf(zip_derived_cl1_023,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl1440,plain,
! [X0: $i] :
( ( ld @ ( rd @ X0 @ X0 ) @ X0 )
= ( mult @ X0 @ ( rd @ X0 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1297,zip_derived_cl1]) ).
thf(zip_derived_cl2_024,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl1_025,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( ld @ ( rd @ X0 @ X1 ) @ X0 )
= X1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl1486,plain,
! [X0: $i] :
( X0
= ( mult @ X0 @ ( rd @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1440,zip_derived_cl8]) ).
thf(zip_derived_cl3_026,plain,
! [X0: $i,X1: $i] :
( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl1516,plain,
! [X0: $i] :
( ( rd @ X0 @ ( rd @ X0 @ X0 ) )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl1486,zip_derived_cl3]) ).
thf(zip_derived_cl120_027,plain,
! [X0: $i,X1: $i] :
( ( ld @ ( mult @ X0 @ ( rd @ X0 @ X1 ) ) @ X0 )
= ( rd @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl110,zip_derived_cl1]) ).
thf(zip_derived_cl1557,plain,
! [X0: $i] :
( ( ld @ ( mult @ X0 @ X0 ) @ X0 )
= ( rd @ ( rd @ X0 @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1516,zip_derived_cl120]) ).
thf(zip_derived_cl1557_028,plain,
! [X0: $i] :
( ( ld @ ( mult @ X0 @ X0 ) @ X0 )
= ( rd @ ( rd @ X0 @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1516,zip_derived_cl120]) ).
thf(zip_derived_cl1486_029,plain,
! [X0: $i] :
( X0
= ( mult @ X0 @ ( rd @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1440,zip_derived_cl8]) ).
thf(zip_derived_cl45_030,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rd @ ( mult @ X1 @ ( mult @ X2 @ X0 ) ) @ X1 )
= ( mult @ ( mult @ X1 @ X2 ) @ ( rd @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl19]) ).
thf(zip_derived_cl2_031,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ ( mult @ ( mult @ X0 @ X2 ) @ ( rd @ X1 @ X0 ) ) @ X0 )
= ( mult @ X0 @ ( mult @ X2 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl2]) ).
thf(zip_derived_cl2266,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( mult @ X0 @ ( rd @ X1 @ X0 ) ) @ X0 )
= ( mult @ X0 @ ( mult @ ( rd @ X0 @ X0 ) @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1486,zip_derived_cl46]) ).
thf(zip_derived_cl5969,plain,
! [X0: $i] :
( ( mult @ ( mult @ X0 @ ( ld @ ( mult @ X0 @ X0 ) @ X0 ) ) @ X0 )
= ( mult @ X0 @ ( mult @ ( rd @ X0 @ X0 ) @ ( rd @ X0 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1557,zip_derived_cl2266]) ).
thf(zip_derived_cl1223_032,plain,
! [X0: $i] :
( ( rd @ X0 @ X0 )
= ( mult @ ( rd @ X0 @ X0 ) @ ( rd @ X0 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1208,zip_derived_cl3]) ).
thf(zip_derived_cl1486_033,plain,
! [X0: $i] :
( X0
= ( mult @ X0 @ ( rd @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1440,zip_derived_cl8]) ).
thf(zip_derived_cl5975,plain,
! [X0: $i] :
( ( mult @ ( mult @ X0 @ ( ld @ ( mult @ X0 @ X0 ) @ X0 ) ) @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl5969,zip_derived_cl1223,zip_derived_cl1486]) ).
thf(zip_derived_cl3_034,plain,
! [X0: $i,X1: $i] :
( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl6008,plain,
! [X0: $i] :
( ( rd @ X0 @ X0 )
= ( mult @ X0 @ ( ld @ ( mult @ X0 @ X0 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5975,zip_derived_cl3]) ).
thf(zip_derived_cl1_035,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl6600,plain,
! [X0: $i] :
( ( ld @ X0 @ ( rd @ X0 @ X0 ) )
= ( ld @ ( mult @ X0 @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6008,zip_derived_cl1]) ).
thf(zip_derived_cl3_036,plain,
! [X0: $i,X1: $i] :
( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl110_037,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( mult @ X0 @ ( rd @ X0 @ X1 ) ) @ ( rd @ X1 @ X0 ) )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl48]) ).
thf(zip_derived_cl3_038,plain,
! [X0: $i,X1: $i] :
( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl126,plain,
! [X0: $i,X1: $i] :
( ( rd @ X0 @ ( rd @ X1 @ X0 ) )
= ( mult @ X0 @ ( rd @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl110,zip_derived_cl3]) ).
thf(zip_derived_cl152,plain,
! [X0: $i,X1: $i] :
( ( rd @ X1 @ X0 )
= ( mult @ X1 @ ( rd @ X1 @ ( mult @ X0 @ X1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl126]) ).
thf(zip_derived_cl1_039,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl197,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( rd @ X1 @ X0 ) )
= ( rd @ X1 @ ( mult @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl152,zip_derived_cl1]) ).
thf(zip_derived_cl6720,plain,
! [X0: $i] :
( ( rd @ X0 @ ( mult @ X0 @ X0 ) )
= ( ld @ ( mult @ X0 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6600,zip_derived_cl197]) ).
thf(zip_derived_cl7374,plain,
! [X0: $i] :
( ( rd @ X0 @ ( mult @ X0 @ X0 ) )
= ( rd @ ( rd @ X0 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1557,zip_derived_cl6720]) ).
thf(zip_derived_cl15951,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( rd @ X0 @ X0 ) )
= ( mult @ ( rd @ X0 @ X0 ) @ ( mult @ ( mult @ X1 @ ( rd @ X0 @ ( mult @ X0 @ X0 ) ) ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15763,zip_derived_cl7374]) ).
thf(zip_derived_cl16202,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( rd @ ( rd @ X0 @ X0 ) @ ( rd @ X0 @ X0 ) ) )
= ( mult @ ( rd @ ( rd @ X0 @ X0 ) @ ( rd @ X0 @ X0 ) ) @ ( mult @ ( mult @ X1 @ ( rd @ ( rd @ X0 @ X0 ) @ ( rd @ X0 @ X0 ) ) ) @ ( rd @ X0 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1223,zip_derived_cl15951]) ).
thf(zip_derived_cl1223_040,plain,
! [X0: $i] :
( ( rd @ X0 @ X0 )
= ( mult @ ( rd @ X0 @ X0 ) @ ( rd @ X0 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1208,zip_derived_cl3]) ).
thf(zip_derived_cl3_041,plain,
! [X0: $i,X1: $i] :
( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl1275,plain,
! [X0: $i] :
( ( rd @ ( rd @ X0 @ X0 ) @ ( rd @ X0 @ X0 ) )
= ( rd @ X0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1223,zip_derived_cl3]) ).
thf(zip_derived_cl1275_042,plain,
! [X0: $i] :
( ( rd @ ( rd @ X0 @ X0 ) @ ( rd @ X0 @ X0 ) )
= ( rd @ X0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1223,zip_derived_cl3]) ).
thf(zip_derived_cl1275_043,plain,
! [X0: $i] :
( ( rd @ ( rd @ X0 @ X0 ) @ ( rd @ X0 @ X0 ) )
= ( rd @ X0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1223,zip_derived_cl3]) ).
thf(zip_derived_cl16224,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( rd @ X0 @ X0 ) )
= ( mult @ ( rd @ X0 @ X0 ) @ ( mult @ ( mult @ X1 @ ( rd @ X0 @ X0 ) ) @ ( rd @ X0 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16202,zip_derived_cl1275,zip_derived_cl1275,zip_derived_cl1275]) ).
thf(zip_derived_cl16474,plain,
! [X0: $i,X1: $i] :
( X0
= ( mult @ ( rd @ X1 @ X1 ) @ ( mult @ X0 @ ( rd @ X1 @ X1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl16224]) ).
thf(zip_derived_cl22_044,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X0 @ X1 )
= ( mult @ X1 @ ( mult @ X2 @ ( mult @ ( ld @ ( mult @ X1 @ X2 ) @ X0 ) @ X1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).
thf(zip_derived_cl17176,plain,
! [X0: $i,X1: $i] :
( ( mult @ X0 @ ( rd @ X1 @ X1 ) )
= ( mult @ ( rd @ X1 @ X1 ) @ ( ld @ ( mult @ ( rd @ X1 @ X1 ) @ ( rd @ X1 @ X1 ) ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16474,zip_derived_cl22]) ).
thf(zip_derived_cl1223_045,plain,
! [X0: $i] :
( ( rd @ X0 @ X0 )
= ( mult @ ( rd @ X0 @ X0 ) @ ( rd @ X0 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1208,zip_derived_cl3]) ).
thf(zip_derived_cl0_046,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl17284,plain,
! [X0: $i,X1: $i] :
( ( mult @ X0 @ ( rd @ X1 @ X1 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl17176,zip_derived_cl1223,zip_derived_cl0]) ).
thf(zip_derived_cl17319,plain,
( ( ( mult @ ( rd @ sk__1 @ sk__1 ) @ sk_ )
!= sk_ )
| ( sk_ != sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl17284]) ).
thf(zip_derived_cl17320,plain,
( ( mult @ ( rd @ sk__1 @ sk__1 ) @ sk_ )
!= sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl17319]) ).
thf(zip_derived_cl16474_047,plain,
! [X0: $i,X1: $i] :
( X0
= ( mult @ ( rd @ X1 @ X1 ) @ ( mult @ X0 @ ( rd @ X1 @ X1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl16224]) ).
thf(zip_derived_cl17284_048,plain,
! [X0: $i,X1: $i] :
( ( mult @ X0 @ ( rd @ X1 @ X1 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl17176,zip_derived_cl1223,zip_derived_cl0]) ).
thf(zip_derived_cl17322,plain,
! [X0: $i,X1: $i] :
( X0
= ( mult @ ( rd @ X1 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl16474,zip_derived_cl17284]) ).
thf(zip_derived_cl18266,plain,
sk_ != sk_,
inference(demod,[status(thm)],[zip_derived_cl17320,zip_derived_cl17322]) ).
thf(zip_derived_cl18267,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl18266]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.16 % Problem : GRP660+2 : TPTP v9.2.0. Released v4.0.0.
% 0.02/0.17 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gCrrO1sJdF true
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8042.1875MB
% 0.10/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Oct 1 14:22:08 EDT 2025
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Running portfolio for 300 s
% 0.10/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Number of cores: 8
% 0.10/0.37 % Python version: Python 3.6.8
% 0.10/0.38 % Running in FO mode
% 0.52/0.65 % Total configuration time : 435
% 0.52/0.65 % Estimated wc time : 1092
% 0.52/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.78/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.78/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.93/0.84 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.93/0.86 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.94/0.88 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.94/0.88 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.94/0.90 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 63.88/15.38 % Solved by fo/fo6_bce.sh.
% 63.88/15.38 % BCE start: 6
% 63.88/15.38 % BCE eliminated: 0
% 63.88/15.38 % PE start: 6
% 63.88/15.38 logic: eq
% 63.88/15.38 % PE eliminated: 0
% 63.88/15.38 % done 288 iterations in 14.561s
% 63.88/15.38 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 63.88/15.38 % SZS output start Refutation
% See solution above
% 63.92/15.38
% 63.92/15.38
% 63.92/15.38 % Terminating...
% 64.14/15.54 % Runner terminated.
% 64.14/15.55 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------