TSTP Solution File: ALG210+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG210+2 : TPTP v8.1.2. Released v3.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hevnbsZiu6 true
% Computer : n017.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 : Wed Aug 30 17:12:11 EDT 2023
% Result : Theorem 1.39s 0.97s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 107 ( 85 unt; 6 typ; 0 def)
% Number of atoms : 126 ( 105 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 643 ( 24 ~; 17 |; 5 &; 594 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 85 ( 0 ^; 84 !; 1 ?; 85 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(times_type,type,
times: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(element_type,type,
element: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(axiom_2,axiom,
! [B: $i] :
( ( element @ B )
<=> ? [C: $i] :
( ( ( times @ B @ B )
= C )
& ( ( times @ B @ C )
= B ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( ( times @ X0 @ ( sk_ @ X0 ) )
= X0 )
| ~ ( element @ X0 ) ),
inference(cnf,[status(esa)],[axiom_2]) ).
thf(conjecture_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( element @ A )
& ( element @ B )
& ( C
= ( times @ A @ B ) ) )
=> ( element @ C ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( element @ A )
& ( element @ B )
& ( C
= ( times @ A @ B ) ) )
=> ( element @ C ) ),
inference('cnf.neg',[status(esa)],[conjecture_1]) ).
thf(zip_derived_cl7,plain,
element @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16,plain,
( ( times @ sk__2 @ ( sk_ @ sk__2 ) )
= sk__2 ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl7]) ).
thf(zip_derived_cl5,plain,
( sk__3
= ( times @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(axiom_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( times @ ( times @ A @ B ) @ C )
= ( times @ B @ ( times @ C @ A ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( times @ ( times @ X2 @ X0 ) @ X1 )
= ( times @ X0 @ ( times @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_1]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ( times @ sk__3 @ X0 )
= ( times @ sk__2 @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( ( times @ X0 @ X0 )
= ( sk_ @ X0 ) )
| ~ ( element @ X0 ) ),
inference(cnf,[status(esa)],[axiom_2]) ).
thf(zip_derived_cl6,plain,
element @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
( ( times @ sk__1 @ sk__1 )
= ( sk_ @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i] :
( ( ( times @ X0 @ ( sk_ @ X0 ) )
= X0 )
| ~ ( element @ X0 ) ),
inference(cnf,[status(esa)],[axiom_2]) ).
thf(zip_derived_cl6_002,plain,
element @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15,plain,
( ( times @ sk__1 @ ( sk_ @ sk__1 ) )
= sk__1 ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( times @ ( times @ X2 @ X0 ) @ X1 )
= ( times @ X0 @ ( times @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_1]) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ( times @ sk__1 @ X0 )
= ( times @ ( sk_ @ sk__1 ) @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).
thf(zip_derived_cl66,plain,
( ( times @ sk__1 @ sk__1 )
= ( times @ ( sk_ @ sk__1 ) @ ( sk_ @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl44]) ).
thf(zip_derived_cl8_004,plain,
( ( times @ sk__1 @ sk__1 )
= ( sk_ @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
thf(zip_derived_cl68,plain,
( ( sk_ @ sk__1 )
= ( times @ ( sk_ @ sk__1 ) @ ( sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl8]) ).
thf(zip_derived_cl0_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( times @ ( times @ X2 @ X0 ) @ X1 )
= ( times @ X0 @ ( times @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_1]) ).
thf(zip_derived_cl71,plain,
! [X0: $i] :
( ( times @ ( sk_ @ sk__1 ) @ X0 )
= ( times @ ( sk_ @ sk__1 ) @ ( times @ X0 @ ( sk_ @ sk__1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl68,zip_derived_cl0]) ).
thf(zip_derived_cl288,plain,
( ( times @ ( sk_ @ sk__1 ) @ sk__3 )
= ( times @ ( sk_ @ sk__1 ) @ ( times @ sk__2 @ ( times @ ( sk_ @ sk__1 ) @ sk__1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl46,zip_derived_cl71]) ).
thf(zip_derived_cl8_006,plain,
( ( times @ sk__1 @ sk__1 )
= ( sk_ @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
thf(zip_derived_cl0_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( times @ ( times @ X2 @ X0 ) @ X1 )
= ( times @ X0 @ ( times @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_1]) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ( times @ ( sk_ @ sk__1 ) @ X0 )
= ( times @ sk__1 @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl8_008,plain,
( ( times @ sk__1 @ sk__1 )
= ( sk_ @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
thf(zip_derived_cl15_009,plain,
( ( times @ sk__1 @ ( sk_ @ sk__1 ) )
= sk__1 ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl44_010,plain,
! [X0: $i] :
( ( times @ sk__1 @ X0 )
= ( times @ ( sk_ @ sk__1 ) @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).
thf(zip_derived_cl5_011,plain,
( sk__3
= ( times @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl292,plain,
( ( times @ ( sk_ @ sk__1 ) @ sk__3 )
= sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl45,zip_derived_cl8,zip_derived_cl15,zip_derived_cl44,zip_derived_cl5]) ).
thf(zip_derived_cl0_012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( times @ ( times @ X2 @ X0 ) @ X1 )
= ( times @ X0 @ ( times @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 )
| ( ( times @ X0 @ X1 )
!= X0 )
| ( ( times @ X0 @ X0 )
!= X1 ) ),
inference(cnf,[status(esa)],[axiom_2]) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( times @ ( times @ X2 @ X1 ) @ X0 )
!= X1 )
| ( ( times @ X1 @ X1 )
!= ( times @ X0 @ X2 ) )
| ( element @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).
thf(zip_derived_cl299,plain,
! [X0: $i] :
( ( ( times @ sk__3 @ X0 )
!= sk__3 )
| ( element @ sk__3 )
| ( ( times @ sk__3 @ sk__3 )
!= ( times @ X0 @ ( sk_ @ sk__1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl292,zip_derived_cl35]) ).
thf(zip_derived_cl46_013,plain,
! [X0: $i] :
( ( times @ sk__3 @ X0 )
= ( times @ sk__2 @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl46_014,plain,
! [X0: $i] :
( ( times @ sk__3 @ X0 )
= ( times @ sk__2 @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl8_015,plain,
( ( times @ sk__1 @ sk__1 )
= ( sk_ @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
thf(zip_derived_cl303,plain,
! [X0: $i] :
( ( ( times @ sk__3 @ X0 )
!= sk__3 )
| ( element @ sk__3 )
| ( ( times @ sk__2 @ ( times @ sk__2 @ ( sk_ @ sk__1 ) ) )
!= ( times @ X0 @ ( sk_ @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl299,zip_derived_cl46,zip_derived_cl46,zip_derived_cl8]) ).
thf(zip_derived_cl4,plain,
~ ( element @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl350,plain,
! [X0: $i] :
( ( ( times @ sk__2 @ ( times @ sk__2 @ ( sk_ @ sk__1 ) ) )
!= ( times @ X0 @ ( sk_ @ sk__1 ) ) )
| ( ( times @ sk__3 @ X0 )
!= sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl303,zip_derived_cl4]) ).
thf(zip_derived_cl8_016,plain,
( ( times @ sk__1 @ sk__1 )
= ( sk_ @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
thf(zip_derived_cl46_017,plain,
! [X0: $i] :
( ( times @ sk__3 @ X0 )
= ( times @ sk__2 @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl45_018,plain,
! [X0: $i] :
( ( times @ ( sk_ @ sk__1 ) @ X0 )
= ( times @ sk__1 @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl142,plain,
( ( times @ ( sk_ @ sk__1 ) @ sk__3 )
= ( times @ sk__1 @ ( times @ sk__2 @ ( times @ sk__1 @ sk__1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl46,zip_derived_cl45]) ).
thf(zip_derived_cl8_019,plain,
( ( times @ sk__1 @ sk__1 )
= ( sk_ @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
thf(zip_derived_cl144,plain,
( ( times @ ( sk_ @ sk__1 ) @ sk__3 )
= ( times @ sk__1 @ ( times @ sk__2 @ ( sk_ @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl8]) ).
thf(zip_derived_cl292_020,plain,
( ( times @ ( sk_ @ sk__1 ) @ sk__3 )
= sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl45,zip_derived_cl8,zip_derived_cl15,zip_derived_cl44,zip_derived_cl5]) ).
thf(zip_derived_cl296,plain,
( sk__3
= ( times @ sk__1 @ ( times @ sk__2 @ ( sk_ @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl292]) ).
thf(zip_derived_cl0_021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( times @ ( times @ X2 @ X0 ) @ X1 )
= ( times @ X0 @ ( times @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_1]) ).
thf(zip_derived_cl312,plain,
! [X0: $i] :
( ( times @ sk__3 @ X0 )
= ( times @ ( times @ sk__2 @ ( sk_ @ sk__1 ) ) @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl296,zip_derived_cl0]) ).
thf(zip_derived_cl420,plain,
( ( times @ sk__3 @ sk__1 )
= ( times @ ( times @ sk__2 @ ( sk_ @ sk__1 ) ) @ ( sk_ @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl312]) ).
thf(zip_derived_cl46_022,plain,
! [X0: $i] :
( ( times @ sk__3 @ X0 )
= ( times @ sk__2 @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl8_023,plain,
( ( times @ sk__1 @ sk__1 )
= ( sk_ @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
thf(zip_derived_cl0_024,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( times @ ( times @ X2 @ X0 ) @ X1 )
= ( times @ X0 @ ( times @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_1]) ).
thf(zip_derived_cl71_025,plain,
! [X0: $i] :
( ( times @ ( sk_ @ sk__1 ) @ X0 )
= ( times @ ( sk_ @ sk__1 ) @ ( times @ X0 @ ( sk_ @ sk__1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl68,zip_derived_cl0]) ).
thf(zip_derived_cl46_026,plain,
! [X0: $i] :
( ( times @ sk__3 @ X0 )
= ( times @ sk__2 @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl44_027,plain,
! [X0: $i] :
( ( times @ sk__1 @ X0 )
= ( times @ ( sk_ @ sk__1 ) @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).
thf(zip_derived_cl67,plain,
( ( times @ sk__1 @ sk__3 )
= ( times @ ( sk_ @ sk__1 ) @ ( times @ sk__2 @ ( times @ sk__1 @ sk__1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl46,zip_derived_cl44]) ).
thf(zip_derived_cl8_028,plain,
( ( times @ sk__1 @ sk__1 )
= ( sk_ @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
thf(zip_derived_cl69,plain,
( ( times @ sk__1 @ sk__3 )
= ( times @ ( sk_ @ sk__1 ) @ ( times @ sk__2 @ ( sk_ @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl8]) ).
thf(zip_derived_cl282,plain,
( ( times @ sk__1 @ sk__3 )
= ( times @ ( sk_ @ sk__1 ) @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl71,zip_derived_cl69]) ).
thf(zip_derived_cl424,plain,
( ( times @ sk__2 @ ( sk_ @ sk__1 ) )
= ( times @ ( sk_ @ sk__1 ) @ ( times @ sk__1 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl420,zip_derived_cl46,zip_derived_cl8,zip_derived_cl0,zip_derived_cl282]) ).
thf(zip_derived_cl539,plain,
! [X0: $i] :
( ( ( times @ sk__2 @ ( times @ ( sk_ @ sk__1 ) @ ( times @ sk__1 @ sk__3 ) ) )
!= ( times @ X0 @ ( sk_ @ sk__1 ) ) )
| ( ( times @ sk__3 @ X0 )
!= sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl424]) ).
thf(zip_derived_cl45_029,plain,
! [X0: $i] :
( ( times @ ( sk_ @ sk__1 ) @ X0 )
= ( times @ sk__1 @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl312_030,plain,
! [X0: $i] :
( ( times @ sk__3 @ X0 )
= ( times @ ( times @ sk__2 @ ( sk_ @ sk__1 ) ) @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl296,zip_derived_cl0]) ).
thf(zip_derived_cl418,plain,
( ( times @ sk__3 @ ( sk_ @ sk__1 ) )
= ( times @ ( times @ sk__2 @ ( sk_ @ sk__1 ) ) @ ( times @ sk__1 @ ( times @ sk__1 @ sk__1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl312]) ).
thf(zip_derived_cl46_031,plain,
! [X0: $i] :
( ( times @ sk__3 @ X0 )
= ( times @ sk__2 @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl45_032,plain,
! [X0: $i] :
( ( times @ ( sk_ @ sk__1 ) @ X0 )
= ( times @ sk__1 @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl8_033,plain,
( ( times @ sk__1 @ sk__1 )
= ( sk_ @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
thf(zip_derived_cl15_034,plain,
( ( times @ sk__1 @ ( sk_ @ sk__1 ) )
= sk__1 ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl8_035,plain,
( ( times @ sk__1 @ sk__1 )
= ( sk_ @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
thf(zip_derived_cl15_036,plain,
( ( times @ sk__1 @ ( sk_ @ sk__1 ) )
= sk__1 ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl0_037,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( times @ ( times @ X2 @ X0 ) @ X1 )
= ( times @ X0 @ ( times @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_1]) ).
thf(zip_derived_cl5_038,plain,
( sk__3
= ( times @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl292_039,plain,
( ( times @ ( sk_ @ sk__1 ) @ sk__3 )
= sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl45,zip_derived_cl8,zip_derived_cl15,zip_derived_cl44,zip_derived_cl5]) ).
thf(zip_derived_cl422,plain,
( ( times @ sk__2 @ sk__1 )
= sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl418,zip_derived_cl46,zip_derived_cl45,zip_derived_cl8,zip_derived_cl15,zip_derived_cl8,zip_derived_cl15,zip_derived_cl0,zip_derived_cl5,zip_derived_cl292]) ).
thf(zip_derived_cl0_040,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( times @ ( times @ X2 @ X0 ) @ X1 )
= ( times @ X0 @ ( times @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_1]) ).
thf(zip_derived_cl440,plain,
! [X0: $i] :
( ( times @ sk__3 @ X0 )
= ( times @ sk__1 @ ( times @ X0 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl422,zip_derived_cl0]) ).
thf(zip_derived_cl44_041,plain,
! [X0: $i] :
( ( times @ sk__1 @ X0 )
= ( times @ ( sk_ @ sk__1 ) @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).
thf(zip_derived_cl685,plain,
( ( times @ sk__1 @ sk__3 )
= ( times @ ( sk_ @ sk__1 ) @ ( times @ sk__1 @ ( times @ sk__1 @ sk__2 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl440,zip_derived_cl44]) ).
thf(zip_derived_cl5_042,plain,
( sk__3
= ( times @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl704,plain,
( ( times @ sk__1 @ sk__3 )
= ( times @ ( sk_ @ sk__1 ) @ ( times @ sk__1 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl685,zip_derived_cl5]) ).
thf(zip_derived_cl312_043,plain,
! [X0: $i] :
( ( times @ sk__3 @ X0 )
= ( times @ ( times @ sk__2 @ ( sk_ @ sk__1 ) ) @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl296,zip_derived_cl0]) ).
thf(zip_derived_cl0_044,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( times @ ( times @ X2 @ X0 ) @ X1 )
= ( times @ X0 @ ( times @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_1]) ).
thf(zip_derived_cl415,plain,
! [X0: $i] :
( ( times @ sk__3 @ X0 )
= ( times @ ( sk_ @ sk__1 ) @ ( times @ ( times @ X0 @ sk__1 ) @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl312,zip_derived_cl0]) ).
thf(zip_derived_cl0_045,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( times @ ( times @ X2 @ X0 ) @ X1 )
= ( times @ X0 @ ( times @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_1]) ).
thf(zip_derived_cl429,plain,
! [X0: $i] :
( ( times @ sk__3 @ X0 )
= ( times @ ( sk_ @ sk__1 ) @ ( times @ sk__1 @ ( times @ sk__2 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl415,zip_derived_cl0]) ).
thf(zip_derived_cl1117,plain,
! [X0: $i] :
( ( ( times @ sk__2 @ ( times @ sk__1 @ sk__3 ) )
!= ( times @ X0 @ ( sk_ @ sk__1 ) ) )
| ( ( times @ ( sk_ @ sk__1 ) @ ( times @ sk__1 @ ( times @ sk__2 @ X0 ) ) )
!= sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl539,zip_derived_cl704,zip_derived_cl429]) ).
thf(zip_derived_cl1125,plain,
( ( ( times @ ( sk_ @ sk__1 ) @ ( times @ sk__1 @ sk__2 ) )
!= sk__3 )
| ( ( times @ sk__2 @ ( times @ sk__1 @ sk__3 ) )
!= ( times @ ( sk_ @ sk__2 ) @ ( sk_ @ sk__1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl1117]) ).
thf(zip_derived_cl5_046,plain,
( sk__3
= ( times @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl292_047,plain,
( ( times @ ( sk_ @ sk__1 ) @ sk__3 )
= sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl45,zip_derived_cl8,zip_derived_cl15,zip_derived_cl44,zip_derived_cl5]) ).
thf(zip_derived_cl1_048,plain,
! [X0: $i] :
( ( ( times @ X0 @ X0 )
= ( sk_ @ X0 ) )
| ~ ( element @ X0 ) ),
inference(cnf,[status(esa)],[axiom_2]) ).
thf(zip_derived_cl7_049,plain,
element @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
( ( times @ sk__2 @ sk__2 )
= ( sk_ @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).
thf(zip_derived_cl0_050,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( times @ ( times @ X2 @ X0 ) @ X1 )
= ( times @ X0 @ ( times @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_1]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ( times @ ( sk_ @ sk__2 ) @ X0 )
= ( times @ sk__2 @ ( times @ X0 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).
thf(zip_derived_cl282_051,plain,
( ( times @ sk__1 @ sk__3 )
= ( times @ ( sk_ @ sk__1 ) @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl71,zip_derived_cl69]) ).
thf(zip_derived_cl1142,plain,
( ( sk__3 != sk__3 )
| ( ( times @ sk__2 @ ( times @ sk__1 @ sk__3 ) )
!= ( times @ sk__2 @ ( times @ sk__1 @ sk__3 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1125,zip_derived_cl5,zip_derived_cl292,zip_derived_cl48,zip_derived_cl282]) ).
thf(zip_derived_cl1143,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : ALG210+2 : TPTP v8.1.2. Released v3.1.0.
% 0.09/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hevnbsZiu6 true
% 0.15/0.36 % Computer : n017.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 : Mon Aug 28 04:36:42 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
% 0.15/0.37 % Running in FO mode
% 0.23/0.67 % Total configuration time : 435
% 0.23/0.67 % Estimated wc time : 1092
% 0.23/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.39/0.97 % Solved by fo/fo7.sh.
% 1.39/0.97 % done 219 iterations in 0.141s
% 1.39/0.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.39/0.97 % SZS output start Refutation
% See solution above
% 1.39/0.97
% 1.39/0.97
% 1.39/0.97 % Terminating...
% 1.55/1.07 % Runner terminated.
% 1.55/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------