%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG210+1 : TPTP v9.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zjXj6z8aBe true
% Computer : n005.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 04:28:18 PM UTC 2025
% Result : Theorem 8.44s 1.80s
% Output : Refutation 8.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of formulae : 126 ( 115 unt; 0 typ; 0 def)
% Number of atoms : 144 ( 122 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 913 ( 14 ~; 12 |; 3 &; 881 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 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 : 146 ( 0 ^; 145 !; 1 ?; 146 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i ).
thf(times_type,type,
times: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(element_type,type,
element: $i > $o ).
thf(conjecture_1,conjecture,
! [A: $i,B: $i] :
( ( ( element @ A )
& ( element @ B ) )
=> ( element @ ( times @ A @ B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( element @ A )
& ( element @ B ) )
=> ( element @ ( times @ A @ B ) ) ),
inference('cnf.neg',[status(esa)],[conjecture_1]) ).
thf(zip_derived_cl4,plain,
~ ( element @ ( times @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(axiom_2,axiom,
! [B: $i] :
( ( element @ B )
<=> ? [C: $i] :
( ( ( times @ B @ B )
= C )
& ( ( times @ B @ C )
= B ) ) ) ).
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_cl7,plain,
( ( times @ sk__1 @ sk__1 )
= ( sk_ @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
thf(zip_derived_cl7_001,plain,
( ( times @ sk__1 @ sk__1 )
= ( sk_ @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
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_cl41,plain,
! [X0: $i] :
( ( times @ ( sk_ @ sk__1 ) @ X0 )
= ( times @ sk__1 @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).
thf(zip_derived_cl0_002,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,X1: $i] :
( ( times @ ( times @ ( sk_ @ sk__1 ) @ X0 ) @ X1 )
= ( times @ ( times @ X0 @ sk__1 ) @ ( times @ X1 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl0]) ).
thf(zip_derived_cl688,plain,
! [X0: $i] :
( ( times @ ( times @ ( sk_ @ sk__1 ) @ X0 ) @ sk__1 )
= ( times @ ( times @ X0 @ sk__1 ) @ ( sk_ @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl48]) ).
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_cl2,plain,
! [X0: $i] :
( ( ( times @ X0 @ ( sk_ @ X0 ) )
= X0 )
| ~ ( element @ X0 ) ),
inference(cnf,[status(esa)],[axiom_2]) ).
thf(zip_derived_cl6_004,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_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_cl704,plain,
! [X0: $i] :
( ( times @ X0 @ sk__1 )
= ( times @ sk__1 @ ( times @ ( sk_ @ sk__1 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl688,zip_derived_cl0,zip_derived_cl15,zip_derived_cl0]) ).
thf(zip_derived_cl0_006,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_cl879,plain,
! [X0: $i,X1: $i] :
( ( times @ ( times @ sk__1 @ X1 ) @ X0 )
= ( times @ X1 @ ( times @ sk__1 @ ( times @ ( sk_ @ sk__1 ) @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl704,zip_derived_cl0]) ).
thf(zip_derived_cl15_007,plain,
( ( times @ sk__1 @ ( sk_ @ sk__1 ) )
= sk__1 ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl0_008,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_cl40,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_cl1110,plain,
! [X0: $i] :
( ( times @ sk__1 @ ( times @ sk__1 @ X0 ) )
= ( times @ ( sk_ @ sk__1 ) @ ( times @ X0 @ ( times @ sk__1 @ ( times @ ( sk_ @ sk__1 ) @ sk__1 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl879,zip_derived_cl40]) ).
thf(zip_derived_cl7_009,plain,
( ( times @ sk__1 @ sk__1 )
= ( sk_ @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
thf(zip_derived_cl40_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_cl62,plain,
( ( times @ sk__1 @ sk__1 )
= ( times @ ( sk_ @ sk__1 ) @ ( sk_ @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl40]) ).
thf(zip_derived_cl7_011,plain,
( ( times @ sk__1 @ sk__1 )
= ( sk_ @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
thf(zip_derived_cl64,plain,
( ( sk_ @ sk__1 )
= ( times @ ( sk_ @ sk__1 ) @ ( sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl7]) ).
thf(zip_derived_cl704_012,plain,
! [X0: $i] :
( ( times @ X0 @ sk__1 )
= ( times @ sk__1 @ ( times @ ( sk_ @ sk__1 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl688,zip_derived_cl0,zip_derived_cl15,zip_derived_cl0]) ).
thf(zip_derived_cl896,plain,
( ( times @ ( sk_ @ sk__1 ) @ sk__1 )
= ( times @ sk__1 @ ( sk_ @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl64,zip_derived_cl704]) ).
thf(zip_derived_cl15_013,plain,
( ( times @ sk__1 @ ( sk_ @ sk__1 ) )
= sk__1 ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl898,plain,
( ( times @ ( sk_ @ sk__1 ) @ sk__1 )
= sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl896,zip_derived_cl15]) ).
thf(zip_derived_cl7_014,plain,
( ( times @ sk__1 @ sk__1 )
= ( sk_ @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
thf(zip_derived_cl64_015,plain,
( ( sk_ @ sk__1 )
= ( times @ ( sk_ @ sk__1 ) @ ( sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl7]) ).
thf(zip_derived_cl0_016,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_cl67,plain,
! [X0: $i] :
( ( times @ ( sk_ @ sk__1 ) @ X0 )
= ( times @ ( sk_ @ sk__1 ) @ ( times @ X0 @ ( sk_ @ sk__1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl64,zip_derived_cl0]) ).
thf(zip_derived_cl1145,plain,
! [X0: $i] :
( ( times @ sk__1 @ ( times @ sk__1 @ X0 ) )
= ( times @ ( sk_ @ sk__1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1110,zip_derived_cl898,zip_derived_cl7,zip_derived_cl67]) ).
thf(zip_derived_cl704_017,plain,
! [X0: $i] :
( ( times @ X0 @ sk__1 )
= ( times @ sk__1 @ ( times @ ( sk_ @ sk__1 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl688,zip_derived_cl0,zip_derived_cl15,zip_derived_cl0]) ).
thf(zip_derived_cl1145_018,plain,
! [X0: $i] :
( ( times @ sk__1 @ ( times @ sk__1 @ X0 ) )
= ( times @ ( sk_ @ sk__1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1110,zip_derived_cl898,zip_derived_cl7,zip_derived_cl67]) ).
thf(zip_derived_cl41_019,plain,
! [X0: $i] :
( ( times @ ( sk_ @ sk__1 ) @ X0 )
= ( times @ sk__1 @ ( times @ X0 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).
thf(zip_derived_cl48_020,plain,
! [X0: $i,X1: $i] :
( ( times @ ( times @ ( sk_ @ sk__1 ) @ X0 ) @ X1 )
= ( times @ ( times @ X0 @ sk__1 ) @ ( times @ X1 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl0]) ).
thf(zip_derived_cl686,plain,
! [X0: $i] :
( ( times @ ( times @ ( sk_ @ sk__1 ) @ X0 ) @ ( sk_ @ sk__1 ) )
= ( times @ ( times @ X0 @ sk__1 ) @ ( times @ sk__1 @ ( times @ sk__1 @ sk__1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl48]) ).
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_cl64_022,plain,
( ( sk_ @ sk__1 )
= ( times @ ( sk_ @ sk__1 ) @ ( sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl7]) ).
thf(zip_derived_cl7_023,plain,
( ( times @ sk__1 @ sk__1 )
= ( sk_ @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
thf(zip_derived_cl15_024,plain,
( ( times @ sk__1 @ ( sk_ @ sk__1 ) )
= sk__1 ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl0_025,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_cl702,plain,
! [X0: $i] :
( ( times @ X0 @ ( sk_ @ sk__1 ) )
= ( times @ sk__1 @ ( times @ sk__1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl0,zip_derived_cl64,zip_derived_cl7,zip_derived_cl15,zip_derived_cl0]) ).
thf(zip_derived_cl898_026,plain,
( ( times @ ( sk_ @ sk__1 ) @ sk__1 )
= sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl896,zip_derived_cl15]) ).
thf(zip_derived_cl0_027,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_cl907,plain,
! [X0: $i] :
( ( times @ sk__1 @ X0 )
= ( times @ sk__1 @ ( times @ X0 @ ( sk_ @ sk__1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl898,zip_derived_cl0]) ).
thf(zip_derived_cl998,plain,
! [X0: $i] :
( ( times @ sk__1 @ X0 )
= ( times @ sk__1 @ ( times @ sk__1 @ ( times @ sk__1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl702,zip_derived_cl907]) ).
thf(zip_derived_cl1260,plain,
! [X0: $i] :
( ( times @ X0 @ sk__1 )
= ( times @ sk__1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl704,zip_derived_cl1145,zip_derived_cl998]) ).
thf(zip_derived_cl0_028,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_cl1320,plain,
! [X0: $i,X1: $i] :
( ( times @ ( times @ sk__1 @ X0 ) @ X1 )
= ( times @ sk__1 @ ( times @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1260,zip_derived_cl0]) ).
thf(zip_derived_cl1_029,plain,
! [X0: $i] :
( ( ( times @ X0 @ X0 )
= ( sk_ @ X0 ) )
| ~ ( element @ X0 ) ),
inference(cnf,[status(esa)],[axiom_2]) ).
thf(zip_derived_cl5,plain,
element @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
( ( times @ sk__2 @ sk__2 )
= ( sk_ @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).
thf(zip_derived_cl0_030,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_cl43,plain,
! [X0: $i] :
( ( times @ ( sk_ @ sk__2 ) @ X0 )
= ( times @ sk__2 @ ( times @ X0 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl2770,plain,
! [X0: $i] :
( ( times @ ( sk_ @ sk__2 ) @ ( times @ sk__1 @ X0 ) )
= ( times @ sk__2 @ ( times @ sk__1 @ ( times @ sk__2 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1320,zip_derived_cl43]) ).
thf(zip_derived_cl2_031,plain,
! [X0: $i] :
( ( ( times @ X0 @ ( sk_ @ X0 ) )
= X0 )
| ~ ( element @ X0 ) ),
inference(cnf,[status(esa)],[axiom_2]) ).
thf(zip_derived_cl5_032,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_cl5]) ).
thf(zip_derived_cl0_033,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_cl42,plain,
! [X0: $i] :
( ( times @ sk__2 @ X0 )
= ( times @ ( sk_ @ sk__2 ) @ ( times @ X0 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl0]) ).
thf(zip_derived_cl3034,plain,
( ( times @ sk__2 @ sk__1 )
= ( times @ sk__2 @ ( times @ sk__1 @ ( times @ sk__2 @ sk__2 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2770,zip_derived_cl42]) ).
thf(zip_derived_cl879_034,plain,
! [X0: $i,X1: $i] :
( ( times @ ( times @ sk__1 @ X1 ) @ X0 )
= ( times @ X1 @ ( times @ sk__1 @ ( times @ ( sk_ @ sk__1 ) @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl704,zip_derived_cl0]) ).
thf(zip_derived_cl702_035,plain,
! [X0: $i] :
( ( times @ X0 @ ( sk_ @ sk__1 ) )
= ( times @ sk__1 @ ( times @ sk__1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl0,zip_derived_cl64,zip_derived_cl7,zip_derived_cl15,zip_derived_cl0]) ).
thf(zip_derived_cl1106,plain,
! [X0: $i] :
( ( times @ X0 @ ( times @ sk__1 @ ( times @ ( sk_ @ sk__1 ) @ ( sk_ @ sk__1 ) ) ) )
= ( times @ sk__1 @ ( times @ sk__1 @ ( times @ sk__1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl879,zip_derived_cl702]) ).
thf(zip_derived_cl64_036,plain,
( ( sk_ @ sk__1 )
= ( times @ ( sk_ @ sk__1 ) @ ( sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl7]) ).
thf(zip_derived_cl15_037,plain,
( ( times @ sk__1 @ ( sk_ @ sk__1 ) )
= sk__1 ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl1141,plain,
! [X0: $i] :
( ( times @ X0 @ sk__1 )
= ( times @ sk__1 @ ( times @ sk__1 @ ( times @ sk__1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1106,zip_derived_cl64,zip_derived_cl15]) ).
thf(zip_derived_cl998_038,plain,
! [X0: $i] :
( ( times @ sk__1 @ X0 )
= ( times @ sk__1 @ ( times @ sk__1 @ ( times @ sk__1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl702,zip_derived_cl907]) ).
thf(zip_derived_cl8_039,plain,
( ( times @ sk__2 @ sk__2 )
= ( sk_ @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).
thf(zip_derived_cl3070,plain,
( ( times @ sk__1 @ sk__2 )
= ( times @ sk__2 @ ( times @ sk__1 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3034,zip_derived_cl1141,zip_derived_cl998,zip_derived_cl8]) ).
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_cl3075,plain,
! [X0: $i] :
( ( times @ ( times @ sk__1 @ sk__2 ) @ X0 )
= ( times @ ( times @ sk__1 @ ( sk_ @ sk__2 ) ) @ ( times @ X0 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3070,zip_derived_cl0]) ).
thf(zip_derived_cl879_041,plain,
! [X0: $i,X1: $i] :
( ( times @ ( times @ sk__1 @ X1 ) @ X0 )
= ( times @ X1 @ ( times @ sk__1 @ ( times @ ( sk_ @ sk__1 ) @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl704,zip_derived_cl0]) ).
thf(zip_derived_cl1145_042,plain,
! [X0: $i] :
( ( times @ sk__1 @ ( times @ sk__1 @ X0 ) )
= ( times @ ( sk_ @ sk__1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1110,zip_derived_cl898,zip_derived_cl7,zip_derived_cl67]) ).
thf(zip_derived_cl998_043,plain,
! [X0: $i] :
( ( times @ sk__1 @ X0 )
= ( times @ sk__1 @ ( times @ sk__1 @ ( times @ sk__1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl702,zip_derived_cl907]) ).
thf(zip_derived_cl1265,plain,
! [X0: $i,X1: $i] :
( ( times @ ( times @ sk__1 @ X1 ) @ X0 )
= ( times @ X1 @ ( times @ sk__1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl879,zip_derived_cl1145,zip_derived_cl998]) ).
thf(zip_derived_cl3081,plain,
! [X0: $i] :
( ( times @ sk__2 @ ( times @ sk__1 @ X0 ) )
= ( times @ ( times @ sk__1 @ ( sk_ @ sk__2 ) ) @ ( times @ X0 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3075,zip_derived_cl1265]) ).
thf(zip_derived_cl4020,plain,
( ( times @ sk__2 @ ( times @ sk__1 @ ( sk_ @ sk__1 ) ) )
= ( times @ ( times @ sk__1 @ ( sk_ @ sk__2 ) ) @ ( times @ sk__1 @ ( times @ sk__1 @ sk__2 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1145,zip_derived_cl3081]) ).
thf(zip_derived_cl15_044,plain,
( ( times @ sk__1 @ ( sk_ @ sk__1 ) )
= sk__1 ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl1141_045,plain,
! [X0: $i] :
( ( times @ X0 @ sk__1 )
= ( times @ sk__1 @ ( times @ sk__1 @ ( times @ sk__1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1106,zip_derived_cl64,zip_derived_cl15]) ).
thf(zip_derived_cl998_046,plain,
! [X0: $i] :
( ( times @ sk__1 @ X0 )
= ( times @ sk__1 @ ( times @ sk__1 @ ( times @ sk__1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl702,zip_derived_cl907]) ).
thf(zip_derived_cl4026,plain,
( ( times @ sk__1 @ sk__2 )
= ( times @ ( times @ sk__1 @ ( sk_ @ sk__2 ) ) @ ( times @ sk__1 @ ( times @ sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4020,zip_derived_cl15,zip_derived_cl1141,zip_derived_cl998]) ).
thf(zip_derived_cl0_047,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_cl64_048,plain,
( ( sk_ @ sk__1 )
= ( times @ ( sk_ @ sk__1 ) @ ( sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl7]) ).
thf(zip_derived_cl879_049,plain,
! [X0: $i,X1: $i] :
( ( times @ ( times @ sk__1 @ X1 ) @ X0 )
= ( times @ X1 @ ( times @ sk__1 @ ( times @ ( sk_ @ sk__1 ) @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl704,zip_derived_cl0]) ).
thf(zip_derived_cl67_050,plain,
! [X0: $i] :
( ( times @ ( sk_ @ sk__1 ) @ X0 )
= ( times @ ( sk_ @ sk__1 ) @ ( times @ X0 @ ( sk_ @ sk__1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl64,zip_derived_cl0]) ).
thf(zip_derived_cl1105,plain,
! [X0: $i] :
( ( times @ ( sk_ @ sk__1 ) @ ( times @ sk__1 @ X0 ) )
= ( times @ ( sk_ @ sk__1 ) @ ( times @ X0 @ ( times @ sk__1 @ ( times @ ( sk_ @ sk__1 ) @ ( sk_ @ sk__1 ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl879,zip_derived_cl67]) ).
thf(zip_derived_cl64_051,plain,
( ( sk_ @ sk__1 )
= ( times @ ( sk_ @ sk__1 ) @ ( sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl7]) ).
thf(zip_derived_cl15_052,plain,
( ( times @ sk__1 @ ( sk_ @ sk__1 ) )
= sk__1 ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl40_053,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_cl1140,plain,
! [X0: $i] :
( ( times @ ( sk_ @ sk__1 ) @ ( times @ sk__1 @ X0 ) )
= ( times @ sk__1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1105,zip_derived_cl64,zip_derived_cl15,zip_derived_cl40]) ).
thf(zip_derived_cl0_054,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_cl1399,plain,
! [X0: $i,X1: $i] :
( ( times @ ( times @ sk__1 @ X0 ) @ X1 )
= ( times @ ( times @ sk__1 @ X0 ) @ ( times @ X1 @ ( sk_ @ sk__1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1140,zip_derived_cl0]) ).
thf(zip_derived_cl1265_055,plain,
! [X0: $i,X1: $i] :
( ( times @ ( times @ sk__1 @ X1 ) @ X0 )
= ( times @ X1 @ ( times @ sk__1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl879,zip_derived_cl1145,zip_derived_cl998]) ).
thf(zip_derived_cl4302,plain,
! [X0: $i,X1: $i] :
( ( times @ X0 @ ( times @ sk__1 @ X1 ) )
= ( times @ ( times @ sk__1 @ X0 ) @ ( times @ X1 @ ( sk_ @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1399,zip_derived_cl1265]) ).
thf(zip_derived_cl4342,plain,
! [X0: $i] :
( ( times @ X0 @ ( times @ sk__1 @ ( sk_ @ sk__1 ) ) )
= ( times @ ( times @ sk__1 @ X0 ) @ ( sk_ @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl64,zip_derived_cl4302]) ).
thf(zip_derived_cl15_056,plain,
( ( times @ sk__1 @ ( sk_ @ sk__1 ) )
= sk__1 ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl4376,plain,
! [X0: $i] :
( ( times @ X0 @ sk__1 )
= ( times @ ( times @ sk__1 @ X0 ) @ ( sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4342,zip_derived_cl15]) ).
thf(zip_derived_cl4741,plain,
! [X0: $i,X1: $i] :
( ( times @ ( times @ X0 @ X1 ) @ sk__1 )
= ( times @ ( times @ ( times @ X1 @ sk__1 ) @ X0 ) @ ( sk_ @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl4376]) ).
thf(zip_derived_cl0_057,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_cl1260_058,plain,
! [X0: $i] :
( ( times @ X0 @ sk__1 )
= ( times @ sk__1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl704,zip_derived_cl1145,zip_derived_cl998]) ).
thf(zip_derived_cl1265_059,plain,
! [X0: $i,X1: $i] :
( ( times @ ( times @ sk__1 @ X1 ) @ X0 )
= ( times @ X1 @ ( times @ sk__1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl879,zip_derived_cl1145,zip_derived_cl998]) ).
thf(zip_derived_cl1446,plain,
! [X0: $i,X1: $i] :
( ( times @ ( times @ X0 @ sk__1 ) @ X1 )
= ( times @ X0 @ ( times @ sk__1 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1260,zip_derived_cl1265]) ).
thf(zip_derived_cl0_060,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_cl1145_061,plain,
! [X0: $i] :
( ( times @ sk__1 @ ( times @ sk__1 @ X0 ) )
= ( times @ ( sk_ @ sk__1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1110,zip_derived_cl898,zip_derived_cl7,zip_derived_cl67]) ).
thf(zip_derived_cl1265_062,plain,
! [X0: $i,X1: $i] :
( ( times @ ( times @ sk__1 @ X1 ) @ X0 )
= ( times @ X1 @ ( times @ sk__1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl879,zip_derived_cl1145,zip_derived_cl998]) ).
thf(zip_derived_cl998_063,plain,
! [X0: $i] :
( ( times @ sk__1 @ X0 )
= ( times @ sk__1 @ ( times @ sk__1 @ ( times @ sk__1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl702,zip_derived_cl907]) ).
thf(zip_derived_cl4761,plain,
! [X0: $i,X1: $i] :
( ( times @ X1 @ ( times @ sk__1 @ X0 ) )
= ( times @ X0 @ ( times @ sk__1 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4741,zip_derived_cl0,zip_derived_cl1446,zip_derived_cl0,zip_derived_cl1145,zip_derived_cl1265,zip_derived_cl998]) ).
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_cl5389,plain,
! [X0: $i,X1: $i] :
( ( ( times @ X1 @ ( times @ sk__1 @ X0 ) )
!= X0 )
| ( ( times @ X0 @ X0 )
!= ( times @ sk__1 @ X1 ) )
| ( element @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4761,zip_derived_cl3]) ).
thf(zip_derived_cl7291,plain,
( ( ( times @ sk__1 @ sk__2 )
!= ( times @ sk__1 @ sk__2 ) )
| ( element @ ( times @ sk__1 @ sk__2 ) )
| ( ( times @ ( times @ sk__1 @ sk__2 ) @ ( times @ sk__1 @ sk__2 ) )
!= ( times @ sk__1 @ ( times @ sk__1 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4026,zip_derived_cl5389]) ).
thf(zip_derived_cl1320_064,plain,
! [X0: $i,X1: $i] :
( ( times @ ( times @ sk__1 @ X0 ) @ X1 )
= ( times @ sk__1 @ ( times @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1260,zip_derived_cl0]) ).
thf(zip_derived_cl1320_065,plain,
! [X0: $i,X1: $i] :
( ( times @ ( times @ sk__1 @ X0 ) @ X1 )
= ( times @ sk__1 @ ( times @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1260,zip_derived_cl0]) ).
thf(zip_derived_cl8_066,plain,
( ( times @ sk__2 @ sk__2 )
= ( sk_ @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).
thf(zip_derived_cl7320,plain,
( ( ( times @ sk__1 @ sk__2 )
!= ( times @ sk__1 @ sk__2 ) )
| ( element @ ( times @ sk__1 @ sk__2 ) )
| ( ( times @ sk__1 @ ( times @ sk__1 @ ( sk_ @ sk__2 ) ) )
!= ( times @ sk__1 @ ( times @ sk__1 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7291,zip_derived_cl1320,zip_derived_cl1320,zip_derived_cl8]) ).
thf(zip_derived_cl7321,plain,
element @ ( times @ sk__1 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl7320]) ).
thf(zip_derived_cl7326,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl7321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG210+1 : TPTP v9.2.0. Released v3.1.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zjXj6z8aBe true
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:00:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 8.44/1.80 % Solved by fo/fo7.sh.
% 8.44/1.80 % done 1101 iterations in 1.007s
% 8.44/1.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.44/1.80 % SZS output start Refutation
% See solution above
% 8.44/1.80
% 8.44/1.80
% 8.44/1.80 % Terminating...
% 8.71/1.85 % Runner terminated.
% 8.71/1.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------