TSTP Solution File: GRP775+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP775+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.a5mOLyGt5o true
% Computer : n010.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 01:53:15 EDT 2023
% Result : Theorem 7.05s 1.63s
% Output : Refutation 7.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 13
% Syntax : Number of formulae : 92 ( 27 unt; 7 typ; 0 def)
% Number of atoms : 176 ( 109 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 777 ( 76 ~; 81 |; 5 &; 610 @)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 123 ( 0 ^; 122 !; 1 ?; 123 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(product_type,type,
product: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(l_type,type,
l: $i > $i > $o ).
thf(r_type,type,
r: $i > $i > $o ).
thf(d_type,type,
d: $i > $i > $o ).
thf(goals,conjecture,
! [X7: $i,X8: $i] :
( ( d @ X7 @ X8 )
<=> ( ( ( product @ X7 @ ( product @ X8 @ X7 ) )
= X7 )
& ( ( product @ X8 @ ( product @ X7 @ X8 ) )
= X8 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X7: $i,X8: $i] :
( ( d @ X7 @ X8 )
<=> ( ( ( product @ X7 @ ( product @ X8 @ X7 ) )
= X7 )
& ( ( product @ X8 @ ( product @ X7 @ X8 ) )
= X8 ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl13,plain,
( ( ( product @ sk__2 @ ( product @ sk__1 @ sk__2 ) )
!= sk__2 )
| ( ( product @ sk__1 @ ( product @ sk__2 @ sk__1 ) )
!= sk__1 )
| ~ ( d @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
( ( ( product @ sk__2 @ ( product @ sk__1 @ sk__2 ) )
= sk__2 )
| ( d @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(sos05,axiom,
! [X4: $i,X5: $i] :
( ( d @ X4 @ X5 )
<=> ? [X6: $i] :
( ( l @ X6 @ X5 )
& ( r @ X4 @ X6 ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( l @ ( sk_ @ X0 @ X1 ) @ X0 )
| ~ ( d @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(sos03,axiom,
! [X0: $i,X1: $i] :
( ( l @ X0 @ X1 )
<=> ( ( ( product @ X0 @ X1 )
= X0 )
& ( ( product @ X1 @ X0 )
= X1 ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( ( product @ X0 @ X1 )
= X0 )
| ~ ( l @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i] :
( ~ ( d @ X1 @ X0 )
| ( ( product @ X0 @ ( sk_ @ X0 @ X1 ) )
= X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( r @ X0 @ ( sk_ @ X1 @ X0 ) )
| ~ ( d @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(sos04,axiom,
! [X2: $i,X3: $i] :
( ( r @ X2 @ X3 )
<=> ( ( ( product @ X2 @ X3 )
= X3 )
& ( ( product @ X3 @ X2 )
= X2 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( ( product @ X1 @ X0 )
= X0 )
| ~ ( r @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[sos04]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ~ ( d @ X0 @ X1 )
| ( ( product @ X0 @ ( sk_ @ X1 @ X0 ) )
= ( sk_ @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl5]) ).
thf(sos01,axiom,
! [C: $i,B: $i,A: $i] :
( ( product @ ( product @ A @ B ) @ C )
= ( product @ A @ ( product @ B @ C ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(sos02,axiom,
! [A: $i] :
( ( product @ A @ A )
= A ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos02]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl93,plain,
! [X0: $i,X1: $i] :
( ( product @ X0 @ X1 )
= ( product @ X0 @ ( product @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X2 @ ( product @ X1 @ X0 ) )
= ( product @ ( product @ X2 @ X1 ) @ ( product @ X2 @ ( product @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl93]) ).
thf(zip_derived_cl215,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( d @ X0 @ X1 )
| ( ( product @ X2 @ ( sk_ @ X1 @ X0 ) )
= ( product @ ( product @ X2 @ X0 ) @ ( product @ X2 @ ( sk_ @ X1 @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl69,zip_derived_cl102]) ).
thf(zip_derived_cl2817,plain,
! [X0: $i,X1: $i] :
( ~ ( d @ X1 @ X0 )
| ~ ( d @ X1 @ X0 )
| ( X0
= ( product @ ( product @ X0 @ X1 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl67,zip_derived_cl215]) ).
thf(zip_derived_cl2853,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( product @ ( product @ X0 @ X1 ) @ X0 ) )
| ~ ( d @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2817]) ).
thf(zip_derived_cl2935,plain,
( ( ( product @ sk__2 @ ( product @ sk__1 @ sk__2 ) )
= sk__2 )
| ( sk__2
= ( product @ ( product @ sk__2 @ sk__1 ) @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl2853]) ).
thf(zip_derived_cl1_002,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos02]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ X0 )
= ( product @ X1 @ ( product @ X0 @ ( product @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl3152,plain,
( ( ( product @ sk__2 @ ( product @ sk__1 @ sk__2 ) )
= sk__2 )
| ( sk__2
= ( product @ ( product @ sk__2 @ sk__1 ) @ ( product @ sk__2 @ sk__2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2935,zip_derived_cl92]) ).
thf(zip_derived_cl1_004,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos02]) ).
thf(zip_derived_cl0_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl3191,plain,
( ( ( product @ sk__2 @ ( product @ sk__1 @ sk__2 ) )
= sk__2 )
| ( sk__2
= ( product @ sk__2 @ ( product @ sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3152,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl3192,plain,
( ( product @ sk__2 @ ( product @ sk__1 @ sk__2 ) )
= sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl3191]) ).
thf(zip_derived_cl3219,plain,
( ( sk__2 != sk__2 )
| ( ( product @ sk__1 @ ( product @ sk__2 @ sk__1 ) )
!= sk__1 )
| ~ ( d @ sk__1 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl3192]) ).
thf(zip_derived_cl3220,plain,
( ~ ( d @ sk__1 @ sk__2 )
| ( ( product @ sk__1 @ ( product @ sk__2 @ sk__1 ) )
!= sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3219]) ).
thf(zip_derived_cl11,plain,
( ( ( product @ sk__1 @ ( product @ sk__2 @ sk__1 ) )
= sk__1 )
| ( d @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11_006,plain,
( ( ( product @ sk__1 @ ( product @ sk__2 @ sk__1 ) )
= sk__1 )
| ( d @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3192_007,plain,
( ( product @ sk__2 @ ( product @ sk__1 @ sk__2 ) )
= sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl3191]) ).
thf(zip_derived_cl8_008,plain,
! [X0: $i,X1: $i] :
( ( l @ ( sk_ @ X0 @ X1 ) @ X0 )
| ~ ( d @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( ( product @ X0 @ X1 )
= X0 )
| ~ ( l @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i] :
( ~ ( d @ X1 @ X0 )
| ( ( product @ ( sk_ @ X0 @ X1 ) @ X0 )
= ( sk_ @ X0 @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl2]) ).
thf(zip_derived_cl0_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( d @ X0 @ X1 )
| ( ( product @ ( sk_ @ X1 @ X0 ) @ X2 )
= ( product @ ( sk_ @ X1 @ X0 ) @ ( product @ X1 @ X2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl66,zip_derived_cl0]) ).
thf(zip_derived_cl3225,plain,
! [X0: $i] :
( ~ ( d @ X0 @ sk__2 )
| ( ( product @ ( sk_ @ sk__2 @ X0 ) @ ( product @ sk__1 @ sk__2 ) )
= ( product @ ( sk_ @ sk__2 @ X0 ) @ sk__2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3192,zip_derived_cl130]) ).
thf(zip_derived_cl9_010,plain,
! [X0: $i,X1: $i] :
( ( r @ X0 @ ( sk_ @ X1 @ X0 ) )
| ~ ( d @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( ( product @ X1 @ X0 )
= X0 )
| ~ ( r @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sos04]) ).
thf(zip_derived_cl70,plain,
! [X0: $i,X1: $i] :
( ~ ( d @ X0 @ X1 )
| ( ( product @ ( sk_ @ X1 @ X0 ) @ X0 )
= X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).
thf(zip_derived_cl0_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl134,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( d @ X0 @ X2 )
| ( ( product @ X0 @ X1 )
= ( product @ ( sk_ @ X2 @ X0 ) @ ( product @ X0 @ X1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl70,zip_derived_cl0]) ).
thf(zip_derived_cl4637,plain,
( ~ ( d @ sk__1 @ sk__2 )
| ~ ( d @ sk__1 @ sk__2 )
| ( ( product @ sk__1 @ sk__2 )
= ( product @ ( sk_ @ sk__2 @ sk__1 ) @ sk__2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3225,zip_derived_cl134]) ).
thf(zip_derived_cl4676,plain,
( ( ( product @ sk__1 @ sk__2 )
= ( product @ ( sk_ @ sk__2 @ sk__1 ) @ sk__2 ) )
| ~ ( d @ sk__1 @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4637]) ).
thf(zip_derived_cl4679,plain,
( ( ( product @ sk__1 @ ( product @ sk__2 @ sk__1 ) )
= sk__1 )
| ( ( product @ sk__1 @ sk__2 )
= ( product @ ( sk_ @ sk__2 @ sk__1 ) @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl4676]) ).
thf(zip_derived_cl66_012,plain,
! [X0: $i,X1: $i] :
( ~ ( d @ X1 @ X0 )
| ( ( product @ ( sk_ @ X0 @ X1 ) @ X0 )
= ( sk_ @ X0 @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl2]) ).
thf(zip_derived_cl4722,plain,
( ( ( product @ sk__1 @ ( product @ sk__2 @ sk__1 ) )
= sk__1 )
| ~ ( d @ sk__1 @ sk__2 )
| ( ( product @ sk__1 @ sk__2 )
= ( sk_ @ sk__2 @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4679,zip_derived_cl66]) ).
thf(zip_derived_cl3220_013,plain,
( ~ ( d @ sk__1 @ sk__2 )
| ( ( product @ sk__1 @ ( product @ sk__2 @ sk__1 ) )
!= sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3219]) ).
thf(zip_derived_cl5145,plain,
( ( ( product @ sk__1 @ sk__2 )
= ( sk_ @ sk__2 @ sk__1 ) )
| ~ ( d @ sk__1 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl4722,zip_derived_cl3220]) ).
thf(zip_derived_cl5148,plain,
( ( ( product @ sk__1 @ ( product @ sk__2 @ sk__1 ) )
= sk__1 )
| ( ( product @ sk__1 @ sk__2 )
= ( sk_ @ sk__2 @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl5145]) ).
thf(zip_derived_cl70_014,plain,
! [X0: $i,X1: $i] :
( ~ ( d @ X0 @ X1 )
| ( ( product @ ( sk_ @ X1 @ X0 ) @ X0 )
= X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).
thf(zip_derived_cl5296,plain,
( ( ( product @ sk__1 @ ( product @ sk__2 @ sk__1 ) )
= sk__1 )
| ~ ( d @ sk__1 @ sk__2 )
| ( ( product @ ( product @ sk__1 @ sk__2 ) @ sk__1 )
= sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5148,zip_derived_cl70]) ).
thf(zip_derived_cl0_015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl5326,plain,
( ( ( product @ sk__1 @ ( product @ sk__2 @ sk__1 ) )
= sk__1 )
| ~ ( d @ sk__1 @ sk__2 )
| ( ( product @ sk__1 @ ( product @ sk__2 @ sk__1 ) )
= sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl5296,zip_derived_cl0]) ).
thf(zip_derived_cl5327,plain,
( ~ ( d @ sk__1 @ sk__2 )
| ( ( product @ sk__1 @ ( product @ sk__2 @ sk__1 ) )
= sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5326]) ).
thf(zip_derived_cl11_016,plain,
( ( ( product @ sk__1 @ ( product @ sk__2 @ sk__1 ) )
= sk__1 )
| ( d @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5342,plain,
( ( product @ sk__1 @ ( product @ sk__2 @ sk__1 ) )
= sk__1 ),
inference(clc,[status(thm)],[zip_derived_cl5327,zip_derived_cl11]) ).
thf(zip_derived_cl5343,plain,
( ~ ( d @ sk__1 @ sk__2 )
| ( sk__1 != sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3220,zip_derived_cl5342]) ).
thf(zip_derived_cl5344,plain,
~ ( d @ sk__1 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl5343]) ).
thf(zip_derived_cl5342_017,plain,
( ( product @ sk__1 @ ( product @ sk__2 @ sk__1 ) )
= sk__1 ),
inference(clc,[status(thm)],[zip_derived_cl5327,zip_derived_cl11]) ).
thf(zip_derived_cl1_018,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos02]) ).
thf(zip_derived_cl93_019,plain,
! [X0: $i,X1: $i] :
( ( product @ X0 @ X1 )
= ( product @ X0 @ ( product @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( r @ X0 @ X1 )
| ( ( product @ X1 @ X0 )
!= X0 )
| ( ( product @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[sos04]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( l @ X0 @ X1 )
| ( ( product @ X1 @ X0 )
!= X1 )
| ( ( product @ X0 @ X1 )
!= X0 ) ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( d @ X0 @ X1 )
| ~ ( r @ X0 @ X2 )
| ~ ( l @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl68,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( product @ X1 @ X0 )
!= X1 )
| ( ( product @ X0 @ X1 )
!= X0 )
| ~ ( r @ X2 @ X1 )
| ( d @ X2 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl10]) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( product @ X1 @ X0 )
!= X0 )
| ( ( product @ X0 @ X1 )
!= X1 )
| ( d @ X1 @ X2 )
| ( ( product @ X2 @ X0 )
!= X2 )
| ( ( product @ X0 @ X2 )
!= X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl68]) ).
thf(zip_derived_cl177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( product @ X1 @ X0 )
!= ( product @ X1 @ X0 ) )
| ( ( product @ ( product @ X1 @ X0 ) @ X1 )
!= X1 )
| ( d @ X1 @ X2 )
| ( ( product @ X2 @ ( product @ X1 @ X0 ) )
!= X2 )
| ( ( product @ ( product @ X1 @ X0 ) @ X2 )
!= ( product @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl71]) ).
thf(zip_derived_cl0_020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl0_021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl186,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( product @ X1 @ X0 )
!= ( product @ X1 @ X0 ) )
| ( ( product @ X1 @ ( product @ X0 @ X1 ) )
!= X1 )
| ( d @ X1 @ X2 )
| ( ( product @ X2 @ ( product @ X1 @ X0 ) )
!= X2 )
| ( ( product @ X1 @ ( product @ X0 @ X2 ) )
!= ( product @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl187,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( product @ X1 @ ( product @ X0 @ X2 ) )
!= ( product @ X1 @ X0 ) )
| ( ( product @ X2 @ ( product @ X1 @ X0 ) )
!= X2 )
| ( d @ X1 @ X2 )
| ( ( product @ X1 @ ( product @ X0 @ X1 ) )
!= X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl186]) ).
thf(zip_derived_cl1588,plain,
! [X0: $i,X1: $i] :
( ( ( product @ X1 @ X0 )
!= ( product @ X1 @ X0 ) )
| ( ( product @ X0 @ ( product @ X1 @ X0 ) )
!= X0 )
| ( d @ X1 @ X0 )
| ( ( product @ X1 @ ( product @ X0 @ X1 ) )
!= X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl187]) ).
thf(zip_derived_cl1637,plain,
! [X0: $i,X1: $i] :
( ( ( product @ X1 @ ( product @ X0 @ X1 ) )
!= X1 )
| ( d @ X1 @ X0 )
| ( ( product @ X0 @ ( product @ X1 @ X0 ) )
!= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1588]) ).
thf(zip_derived_cl5403,plain,
( ( sk__1 != sk__1 )
| ( d @ sk__1 @ sk__2 )
| ( ( product @ sk__2 @ ( product @ sk__1 @ sk__2 ) )
!= sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5342,zip_derived_cl1637]) ).
thf(zip_derived_cl3192_022,plain,
( ( product @ sk__2 @ ( product @ sk__1 @ sk__2 ) )
= sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl3191]) ).
thf(zip_derived_cl5451,plain,
( ( sk__1 != sk__1 )
| ( d @ sk__1 @ sk__2 )
| ( sk__2 != sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl5403,zip_derived_cl3192]) ).
thf(zip_derived_cl5452,plain,
d @ sk__1 @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl5451]) ).
thf(zip_derived_cl5456,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5344,zip_derived_cl5452]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13 % Problem : GRP775+1 : TPTP v8.1.2. Released v4.1.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.a5mOLyGt5o true
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 02:24:04 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.69 % Total configuration time : 435
% 0.22/0.69 % Estimated wc time : 1092
% 0.22/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.18/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.18/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.18/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.18/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.05/1.63 % Solved by fo/fo6_bce.sh.
% 7.05/1.63 % BCE start: 14
% 7.05/1.63 % BCE eliminated: 0
% 7.05/1.63 % PE start: 14
% 7.05/1.63 logic: eq
% 7.05/1.63 % PE eliminated: 4
% 7.05/1.63 % done 351 iterations in 0.874s
% 7.05/1.63 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.05/1.63 % SZS output start Refutation
% See solution above
% 7.05/1.63
% 7.05/1.63
% 7.05/1.63 % Terminating...
% 7.05/1.72 % Runner terminated.
% 7.05/1.73 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------