%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP660+3 : 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.msjlSEVd8C true
% Computer : n031.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 59.03s 9.01s
% Output : Refutation 59.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 6
% Syntax : Number of formulae : 103 ( 99 unt; 0 typ; 0 def)
% Number of atoms : 107 ( 106 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 875 ( 7 ~; 2 |; 2 &; 864 @)
% ( 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 : 193 ( 0 ^; 193 !; 0 ?; 193 :)
% 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 @ ( ld @ X1 @ X1 ) @ X0 )
= X0 )
& ( ( mult @ X0 @ ( ld @ X1 @ X1 ) )
= X0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i] :
( ( ( mult @ ( ld @ X1 @ X1 ) @ X0 )
= X0 )
& ( ( mult @ X0 @ ( ld @ X1 @ X1 ) )
= X0 ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl5,plain,
( ( ( mult @ ( ld @ sk__1 @ sk__1 ) @ sk_ )
!= sk_ )
| ( ( mult @ sk_ @ ( ld @ sk__1 @ sk__1 ) )
!= sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_001,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
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(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(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_cl39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ld @ X0 @ ( mult @ ( mult @ X2 @ X1 ) @ X0 ) )
= ( mult @ ( ld @ X0 @ X2 ) @ ( mult @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl1]) ).
thf(zip_derived_cl1_002,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( ld @ ( mult @ X1 @ X0 ) @ X1 ) @ ( mult @ X0 @ ( mult @ X1 @ X0 ) ) )
= ( mult @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1]) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( ld @ X0 @ X1 ) @ ( mult @ ( ld @ X1 @ X0 ) @ X0 ) )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl60]) ).
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_cl113,plain,
! [X0: $i,X1: $i] :
( ( rd @ X0 @ ( mult @ ( ld @ X1 @ X0 ) @ X0 ) )
= ( ld @ X0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl96,zip_derived_cl3]) ).
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_003,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl60_004,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( ld @ ( mult @ X1 @ X0 ) @ X1 ) @ ( mult @ X0 @ ( mult @ X1 @ X0 ) ) )
= ( mult @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1]) ).
thf(zip_derived_cl99,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( ld @ X0 @ ( rd @ X0 @ X1 ) ) @ ( mult @ X1 @ X0 ) )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl60]) ).
thf(zip_derived_cl3_005,plain,
! [X0: $i,X1: $i] :
( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl292,plain,
! [X0: $i,X1: $i] :
( ( rd @ X0 @ ( mult @ X1 @ X0 ) )
= ( ld @ X0 @ ( rd @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl99,zip_derived_cl3]) ).
thf(zip_derived_cl0_006,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl444,plain,
! [X0: $i,X1: $i] :
( ( mult @ X0 @ ( rd @ X0 @ ( mult @ X1 @ X0 ) ) )
= ( rd @ X0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl292,zip_derived_cl0]) ).
thf(zip_derived_cl645,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( rd @ X1 @ X0 ) )
= ( rd @ X1 @ ( rd @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl444]) ).
thf(zip_derived_cl2_007,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl656,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( mult @ X1 @ ( rd @ X1 @ X0 ) ) @ ( rd @ X0 @ X1 ) )
= X1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl645,zip_derived_cl2]) ).
thf(zip_derived_cl1044,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( mult @ ( mult @ ( ld @ X0 @ X1 ) @ X1 ) @ ( rd @ ( mult @ ( ld @ X0 @ X1 ) @ X1 ) @ X1 ) ) @ ( ld @ X1 @ X0 ) )
= ( mult @ ( ld @ X0 @ X1 ) @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl113,zip_derived_cl656]) ).
thf(zip_derived_cl3_008,plain,
! [X0: $i,X1: $i] :
( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl1057,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( mult @ ( mult @ ( ld @ X0 @ X1 ) @ X1 ) @ ( ld @ X0 @ X1 ) ) @ ( ld @ X1 @ X0 ) )
= ( mult @ ( ld @ X0 @ X1 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1044,zip_derived_cl3]) ).
thf(zip_derived_cl4_009,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_cl1110,plain,
! [X0: $i] :
( ( mult @ ( ld @ X0 @ X0 ) @ X0 )
= ( mult @ ( ld @ X0 @ X0 ) @ ( mult @ X0 @ ( mult @ ( ld @ X0 @ X0 ) @ ( ld @ X0 @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1057,zip_derived_cl4]) ).
thf(zip_derived_cl1_010,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl1271,plain,
! [X0: $i] :
( ( ld @ ( ld @ X0 @ X0 ) @ ( mult @ ( ld @ X0 @ X0 ) @ X0 ) )
= ( mult @ X0 @ ( mult @ ( ld @ X0 @ X0 ) @ ( ld @ X0 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1110,zip_derived_cl1]) ).
thf(zip_derived_cl1_011,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl1319,plain,
! [X0: $i] :
( X0
= ( mult @ X0 @ ( mult @ ( ld @ X0 @ X0 ) @ ( ld @ X0 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1271,zip_derived_cl1]) ).
thf(zip_derived_cl1_012,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl1329,plain,
! [X0: $i] :
( ( ld @ X0 @ X0 )
= ( mult @ ( ld @ X0 @ X0 ) @ ( ld @ X0 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1319,zip_derived_cl1]) ).
thf(zip_derived_cl0_013,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl4_014,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_cl1_015,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ld @ ( mult @ ( mult @ X0 @ X2 ) @ X1 ) @ ( mult @ X0 @ ( mult @ X2 @ ( mult @ X1 @ X0 ) ) ) )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ld @ ( mult @ ( mult @ ( ld @ X1 @ X0 ) @ X2 ) @ X1 ) @ ( mult @ ( ld @ X1 @ X0 ) @ ( mult @ X2 @ X0 ) ) )
= ( ld @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl18]) ).
thf(zip_derived_cl1415,plain,
! [X0: $i] :
( ( ld @ ( mult @ ( ld @ X0 @ X0 ) @ X0 ) @ ( mult @ ( ld @ X0 @ X0 ) @ ( mult @ ( ld @ X0 @ X0 ) @ X0 ) ) )
= ( ld @ X0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1329,zip_derived_cl31]) ).
thf(zip_derived_cl96_016,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( ld @ X0 @ X1 ) @ ( mult @ ( ld @ X1 @ X0 ) @ X0 ) )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl60]) ).
thf(zip_derived_cl1422,plain,
! [X0: $i] :
( ( ld @ ( mult @ ( ld @ X0 @ X0 ) @ X0 ) @ X0 )
= ( ld @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1415,zip_derived_cl96]) ).
thf(zip_derived_cl0_017,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl3_018,plain,
! [X0: $i,X1: $i] :
( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( rd @ X0 @ ( ld @ X1 @ X0 ) )
= X1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).
thf(zip_derived_cl1579,plain,
! [X0: $i] :
( ( rd @ X0 @ ( ld @ X0 @ X0 ) )
= ( mult @ ( ld @ X0 @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1422,zip_derived_cl10]) ).
thf(zip_derived_cl10_019,plain,
! [X0: $i,X1: $i] :
( ( rd @ X0 @ ( ld @ X1 @ X0 ) )
= X1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).
thf(zip_derived_cl1595,plain,
! [X0: $i] :
( X0
= ( mult @ ( ld @ X0 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1579,zip_derived_cl10]) ).
thf(zip_derived_cl24_020,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_cl1629,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( mult @ X1 @ ( ld @ X0 @ X0 ) ) @ X0 )
= ( mult @ X0 @ ( mult @ ( ld @ X0 @ X1 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1595,zip_derived_cl24]) ).
thf(zip_derived_cl1329_021,plain,
! [X0: $i] :
( ( ld @ X0 @ X0 )
= ( mult @ ( ld @ X0 @ X0 ) @ ( ld @ X0 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1319,zip_derived_cl1]) ).
thf(zip_derived_cl1_022,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl1383,plain,
! [X0: $i] :
( ( ld @ ( ld @ X0 @ X0 ) @ ( ld @ X0 @ X0 ) )
= ( ld @ X0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1329,zip_derived_cl1]) ).
thf(zip_derived_cl2_023,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl2_024,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl24_025,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_cl52,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_cl3446,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X0 @ X2 )
= ( mult @ X2 @ ( mult @ ( ld @ X2 @ ( rd @ X0 @ ( rd @ X1 @ X2 ) ) ) @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl52]) ).
thf(zip_derived_cl1595_026,plain,
! [X0: $i] :
( X0
= ( mult @ ( ld @ X0 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1579,zip_derived_cl10]) ).
thf(zip_derived_cl4_027,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_cl1617,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( mult @ X0 @ X1 ) @ ( ld @ X0 @ X0 ) )
= ( mult @ ( ld @ X0 @ X0 ) @ ( mult @ X0 @ ( mult @ X1 @ ( ld @ X0 @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1595,zip_derived_cl4]) ).
thf(zip_derived_cl23227,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( mult @ X0 @ ( ld @ X0 @ ( rd @ X1 @ ( rd @ ( ld @ X0 @ X0 ) @ X0 ) ) ) ) @ ( ld @ X0 @ X0 ) )
= ( mult @ ( ld @ X0 @ X0 ) @ ( mult @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3446,zip_derived_cl1617]) ).
thf(zip_derived_cl1_028,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl96_029,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( ld @ X0 @ X1 ) @ ( mult @ ( ld @ X1 @ X0 ) @ X0 ) )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl60]) ).
thf(zip_derived_cl1_030,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl108,plain,
! [X0: $i,X1: $i] :
( ( ld @ ( ld @ X0 @ X1 ) @ X0 )
= ( mult @ ( ld @ X1 @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl96,zip_derived_cl1]) ).
thf(zip_derived_cl138,plain,
! [X0: $i,X1: $i] :
( ( ld @ X0 @ X1 )
= ( mult @ ( ld @ ( mult @ X1 @ X0 ) @ X1 ) @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl108]) ).
thf(zip_derived_cl3_031,plain,
! [X0: $i,X1: $i] :
( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl205,plain,
! [X0: $i,X1: $i] :
( ( rd @ ( ld @ X1 @ X0 ) @ X0 )
= ( ld @ ( mult @ X0 @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl138,zip_derived_cl3]) ).
thf(zip_derived_cl0_032,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl23421,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X1 @ ( ld @ ( mult @ X0 @ X0 ) @ X0 ) ) @ ( ld @ X0 @ X0 ) )
= ( mult @ ( ld @ X0 @ X0 ) @ ( mult @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23227,zip_derived_cl205,zip_derived_cl0]) ).
thf(zip_derived_cl24561,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X1 @ ( ld @ ( mult @ ( ld @ X0 @ X0 ) @ ( ld @ X0 @ X0 ) ) @ ( ld @ X0 @ X0 ) ) ) @ ( ld @ X0 @ X0 ) )
= ( mult @ ( ld @ X0 @ X0 ) @ ( mult @ X1 @ ( ld @ X0 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1383,zip_derived_cl23421]) ).
thf(zip_derived_cl1329_033,plain,
! [X0: $i] :
( ( ld @ X0 @ X0 )
= ( mult @ ( ld @ X0 @ X0 ) @ ( ld @ X0 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1319,zip_derived_cl1]) ).
thf(zip_derived_cl1383_034,plain,
! [X0: $i] :
( ( ld @ ( ld @ X0 @ X0 ) @ ( ld @ X0 @ X0 ) )
= ( ld @ X0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1329,zip_derived_cl1]) ).
thf(zip_derived_cl2_035,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl24580,plain,
! [X0: $i,X1: $i] :
( X1
= ( mult @ ( ld @ X0 @ X0 ) @ ( mult @ X1 @ ( ld @ X0 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24561,zip_derived_cl1329,zip_derived_cl1383,zip_derived_cl2]) ).
thf(zip_derived_cl25576,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( ld @ ( ld @ X0 @ X0 ) @ ( ld @ X0 @ X0 ) ) )
= ( mult @ ( ld @ X0 @ X0 ) @ ( mult @ ( ld @ X0 @ X0 ) @ ( mult @ ( ld @ ( ld @ X0 @ X0 ) @ X1 ) @ ( ld @ X0 @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1629,zip_derived_cl24580]) ).
thf(zip_derived_cl1383_036,plain,
! [X0: $i] :
( ( ld @ ( ld @ X0 @ X0 ) @ ( ld @ X0 @ X0 ) )
= ( ld @ X0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1329,zip_derived_cl1]) ).
thf(zip_derived_cl24580_037,plain,
! [X0: $i,X1: $i] :
( X1
= ( mult @ ( ld @ X0 @ X0 ) @ ( mult @ X1 @ ( ld @ X0 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24561,zip_derived_cl1329,zip_derived_cl1383,zip_derived_cl2]) ).
thf(zip_derived_cl0_038,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl25606,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( ld @ X0 @ X0 ) )
= X1 ),
inference(demod,[status(thm)],[zip_derived_cl25576,zip_derived_cl1383,zip_derived_cl24580,zip_derived_cl0]) ).
thf(zip_derived_cl25669,plain,
( ( ( mult @ ( ld @ sk__1 @ sk__1 ) @ sk_ )
!= sk_ )
| ( sk_ != sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl25606]) ).
thf(zip_derived_cl25670,plain,
( ( mult @ ( ld @ sk__1 @ sk__1 ) @ sk_ )
!= sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl25669]) ).
thf(zip_derived_cl24580_039,plain,
! [X0: $i,X1: $i] :
( X1
= ( mult @ ( ld @ X0 @ X0 ) @ ( mult @ X1 @ ( ld @ X0 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24561,zip_derived_cl1329,zip_derived_cl1383,zip_derived_cl2]) ).
thf(zip_derived_cl18_040,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ld @ ( mult @ ( mult @ X0 @ X2 ) @ X1 ) @ ( mult @ X0 @ ( mult @ X2 @ ( mult @ X1 @ X0 ) ) ) )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(zip_derived_cl108_041,plain,
! [X0: $i,X1: $i] :
( ( ld @ ( ld @ X0 @ X1 ) @ X0 )
= ( mult @ ( ld @ X1 @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl96,zip_derived_cl1]) ).
thf(zip_derived_cl140,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ld @ X0 @ ( mult @ ( mult @ X0 @ X2 ) @ X1 ) )
= ( mult @ ( ld @ ( mult @ X0 @ ( mult @ X2 @ ( mult @ X1 @ X0 ) ) ) @ ( mult @ ( mult @ X0 @ X2 ) @ X1 ) ) @ ( mult @ ( mult @ X0 @ X2 ) @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl108]) ).
thf(zip_derived_cl25530,plain,
! [X0: $i,X1: $i] :
( ( ld @ ( ld @ X1 @ X1 ) @ ( mult @ ( mult @ ( ld @ X1 @ X1 ) @ ( ld @ X1 @ X1 ) ) @ X0 ) )
= ( mult @ ( ld @ ( mult @ ( ld @ X1 @ X1 ) @ X0 ) @ ( mult @ ( mult @ ( ld @ X1 @ X1 ) @ ( ld @ X1 @ X1 ) ) @ X0 ) ) @ ( mult @ ( mult @ ( ld @ X1 @ X1 ) @ ( ld @ X1 @ X1 ) ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24580,zip_derived_cl140]) ).
thf(zip_derived_cl1329_042,plain,
! [X0: $i] :
( ( ld @ X0 @ X0 )
= ( mult @ ( ld @ X0 @ X0 ) @ ( ld @ X0 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1319,zip_derived_cl1]) ).
thf(zip_derived_cl1_043,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl1329_044,plain,
! [X0: $i] :
( ( ld @ X0 @ X0 )
= ( mult @ ( ld @ X0 @ X0 ) @ ( ld @ X0 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1319,zip_derived_cl1]) ).
thf(zip_derived_cl1329_045,plain,
! [X0: $i] :
( ( ld @ X0 @ X0 )
= ( mult @ ( ld @ X0 @ X0 ) @ ( ld @ X0 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1319,zip_derived_cl1]) ).
thf(zip_derived_cl1595_046,plain,
! [X0: $i] :
( X0
= ( mult @ ( ld @ X0 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1579,zip_derived_cl10]) ).
thf(zip_derived_cl25649,plain,
! [X0: $i,X1: $i] :
( X0
= ( mult @ ( ld @ X1 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl25530,zip_derived_cl1329,zip_derived_cl1,zip_derived_cl1329,zip_derived_cl1329,zip_derived_cl1595]) ).
thf(zip_derived_cl26992,plain,
sk_ != sk_,
inference(demod,[status(thm)],[zip_derived_cl25670,zip_derived_cl25649]) ).
thf(zip_derived_cl26993,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl26992]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP660+3 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.msjlSEVd8C true
% 0.14/0.34 % Computer : n031.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 : Wed Oct 1 14:13:23 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.55/0.63 % Total configuration time : 435
% 0.55/0.63 % Estimated wc time : 1092
% 0.55/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 59.03/9.01 % Solved by fo/fo6_bce.sh.
% 59.03/9.01 % BCE start: 6
% 59.03/9.01 % BCE eliminated: 0
% 59.03/9.01 % PE start: 6
% 59.03/9.01 logic: eq
% 59.03/9.01 % PE eliminated: 0
% 59.03/9.01 % done 441 iterations in 8.286s
% 59.03/9.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 59.03/9.01 % SZS output start Refutation
% See solution above
% 59.03/9.01
% 59.03/9.01
% 59.03/9.01 % Terminating...
% 59.36/9.08 % Runner terminated.
% 59.36/9.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------