%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP658+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DPPg08vUD1 true
% Computer : n004.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 04:36:59 PM UTC 2025
% Result : Theorem 0.58s 1.01s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 56 ( 52 unt; 0 typ; 0 def)
% Number of atoms : 60 ( 59 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 397 ( 9 ~; 2 |; 2 &; 384 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 129 ( 0 ^; 127 !; 2 ?; 129 :)
% 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__type,type,
sk_: $i > $i ).
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(f03,axiom,
! [B: $i,A: $i] :
( ( mult @ ( rd @ A @ B ) @ B )
= A ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f03]) ).
thf(f05,axiom,
! [C: $i,B: $i,A: $i] :
( ( mult @ ( mult @ A @ ( mult @ B @ B ) ) @ C )
= ( mult @ ( mult @ A @ B ) @ ( mult @ B @ C ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ ( mult @ X0 @ ( mult @ X1 @ X1 ) ) @ X2 )
= ( mult @ ( mult @ X0 @ X1 ) @ ( mult @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[f05]) ).
thf(zip_derived_cl3_002,plain,
! [X0: $i,X1: $i] :
( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rd @ ( mult @ ( mult @ X2 @ X1 ) @ ( mult @ X1 @ X0 ) ) @ X0 )
= ( mult @ X2 @ ( mult @ X1 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rd @ ( mult @ X0 @ ( mult @ X1 @ X2 ) ) @ X2 )
= ( mult @ ( rd @ X0 @ X1 ) @ ( mult @ X1 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl19]) ).
thf(zip_derived_cl4_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ ( mult @ X0 @ ( mult @ X1 @ X1 ) ) @ X2 )
= ( mult @ ( mult @ X0 @ X1 ) @ ( mult @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[f05]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( mult @ ( rd @ ( mult @ X2 @ ( mult @ X1 @ X0 ) ) @ X0 ) @ X3 )
= ( mult @ ( mult @ ( rd @ X2 @ X1 ) @ X1 ) @ ( mult @ X1 @ X3 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl4]) ).
thf(zip_derived_cl2_004,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( mult @ ( rd @ ( mult @ X2 @ ( mult @ X1 @ X0 ) ) @ X0 ) @ X3 )
= ( mult @ X2 @ ( mult @ X1 @ X3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl2]) ).
thf(zip_derived_cl406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( mult @ ( rd @ ( mult @ X3 @ X0 ) @ X2 ) @ X1 )
= ( mult @ X3 @ ( mult @ ( rd @ X0 @ X2 ) @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl77]) ).
thf(zip_derived_cl479,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X0 @ X1 )
= ( mult @ X0 @ ( mult @ ( rd @ X2 @ X2 ) @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl406]) ).
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_cl534,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= ( mult @ ( rd @ X2 @ X2 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl479,zip_derived_cl1]) ).
thf(zip_derived_cl1_005,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl583,plain,
! [X0: $i,X2: $i] :
( X0
= ( mult @ ( rd @ X2 @ X2 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl534,zip_derived_cl1]) ).
thf(zip_derived_cl3_006,plain,
! [X0: $i,X1: $i] :
( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl616,plain,
! [X0: $i,X1: $i] :
( ( rd @ X0 @ X0 )
= ( rd @ X1 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl583,zip_derived_cl3]) ).
thf(zip_derived_cl616_007,plain,
! [X0: $i,X1: $i] :
( ( rd @ X0 @ X0 )
= ( rd @ X1 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl583,zip_derived_cl3]) ).
thf(zip_derived_cl583_008,plain,
! [X0: $i,X2: $i] :
( X0
= ( mult @ ( rd @ X2 @ X2 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl534,zip_derived_cl1]) ).
thf(goals,conjecture,
? [X0: $i] :
! [X1: $i] :
( ( ( mult @ X0 @ X1 )
= X1 )
& ( ( mult @ X1 @ X0 )
= X1 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [X0: $i] :
! [X1: $i] :
( ( ( mult @ X0 @ X1 )
= X1 )
& ( ( mult @ X1 @ X0 )
= X1 ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( ( mult @ X0 @ ( sk_ @ X0 ) )
!= ( sk_ @ X0 ) )
| ( ( mult @ ( sk_ @ X0 ) @ X0 )
!= ( sk_ @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl640,plain,
! [X0: $i] :
( ( ( sk_ @ ( rd @ X0 @ X0 ) )
!= ( sk_ @ ( rd @ X0 @ X0 ) ) )
| ( ( mult @ ( sk_ @ ( rd @ X0 @ X0 ) ) @ ( rd @ X0 @ X0 ) )
!= ( sk_ @ ( rd @ X0 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl5]) ).
thf(zip_derived_cl670,plain,
! [X0: $i] :
( ( mult @ ( sk_ @ ( rd @ X0 @ X0 ) ) @ ( rd @ X0 @ X0 ) )
!= ( sk_ @ ( rd @ X0 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl640]) ).
thf(zip_derived_cl724,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( sk_ @ ( rd @ X1 @ X1 ) ) @ ( rd @ X0 @ X0 ) )
!= ( sk_ @ ( rd @ X1 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl616,zip_derived_cl670]) ).
thf(zip_derived_cl730,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ ( sk_ @ ( rd @ X0 @ X0 ) ) @ ( rd @ X2 @ X2 ) )
!= ( sk_ @ ( rd @ X1 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl616,zip_derived_cl724]) ).
thf(zip_derived_cl583_009,plain,
! [X0: $i,X2: $i] :
( X0
= ( mult @ ( rd @ X2 @ X2 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl534,zip_derived_cl1]) ).
thf(zip_derived_cl406_010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( mult @ ( rd @ ( mult @ X3 @ X0 ) @ X2 ) @ X1 )
= ( mult @ X3 @ ( mult @ ( rd @ X0 @ X2 ) @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl77]) ).
thf(zip_derived_cl644,plain,
! [X0: $i,X1: $i,X2: $i] :
( X0
= ( mult @ X2 @ ( mult @ ( rd @ X1 @ ( mult @ X2 @ X1 ) ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl583,zip_derived_cl406]) ).
thf(zip_derived_cl1_011,plain,
! [X0: $i,X1: $i] :
( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl1021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ld @ X2 @ X0 )
= ( mult @ ( rd @ X1 @ ( mult @ X2 @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl644,zip_derived_cl1]) ).
thf(zip_derived_cl2_012,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f03]) ).
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_cl19_013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rd @ ( mult @ ( mult @ X2 @ X1 ) @ ( mult @ X1 @ X0 ) ) @ X0 )
= ( mult @ X2 @ ( mult @ X1 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rd @ ( mult @ ( mult @ X2 @ X1 ) @ X0 ) @ ( ld @ X1 @ X0 ) )
= ( mult @ X2 @ ( mult @ X1 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl19]) ).
thf(zip_derived_cl2_014,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ ( mult @ X1 @ ( mult @ X0 @ X0 ) ) @ ( ld @ X0 @ X2 ) )
= ( mult @ ( mult @ X1 @ X0 ) @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl2]) ).
thf(zip_derived_cl163,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X0 @ ( ld @ X2 @ X1 ) )
= ( mult @ ( mult @ ( rd @ X0 @ ( mult @ X2 @ X2 ) ) @ X2 ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl42]) ).
thf(zip_derived_cl1340,plain,
! [X0: $i,X1: $i] :
( ( mult @ X0 @ ( ld @ X0 @ X1 ) )
= ( mult @ ( ld @ X0 @ X0 ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1021,zip_derived_cl163]) ).
thf(zip_derived_cl0_015,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl1401,plain,
! [X0: $i,X1: $i] :
( X1
= ( mult @ ( ld @ X0 @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1340,zip_derived_cl0]) ).
thf(zip_derived_cl3_016,plain,
! [X0: $i,X1: $i] :
( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl1411,plain,
! [X0: $i,X1: $i] :
( ( rd @ X0 @ X0 )
= ( ld @ X1 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1401,zip_derived_cl3]) ).
thf(zip_derived_cl0_017,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl1541,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( rd @ X0 @ X0 ) )
= X1 ),
inference('sup+',[status(thm)],[zip_derived_cl1411,zip_derived_cl0]) ).
thf(zip_derived_cl1411_018,plain,
! [X0: $i,X1: $i] :
( ( rd @ X0 @ X0 )
= ( ld @ X1 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1401,zip_derived_cl3]) ).
thf(zip_derived_cl1583,plain,
! [X0: $i,X1: $i] :
( ( sk_ @ ( rd @ X0 @ X0 ) )
!= ( sk_ @ ( ld @ X1 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl1541,zip_derived_cl1411]) ).
thf(zip_derived_cl1411_019,plain,
! [X0: $i,X1: $i] :
( ( rd @ X0 @ X0 )
= ( ld @ X1 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1401,zip_derived_cl3]) ).
thf(zip_derived_cl1584,plain,
$false,
inference('simplify_reflect+',[status(thm)],[zip_derived_cl1583,zip_derived_cl1411]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP658+1 : TPTP v9.2.0. Released v4.0.0.
% 0.14/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DPPg08vUD1 true
% 0.14/0.34 % Computer : n004.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 14:22:08 EDT 2025
% 0.21/0.35 % CPUTime :
% 0.21/0.35 % Running portfolio for 300 s
% 0.21/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/1.01 % Solved by fo/fo7.sh.
% 0.58/1.01 % done 141 iterations in 0.225s
% 0.58/1.01 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/1.01 % SZS output start Refutation
% See solution above
% 0.58/1.01
% 0.58/1.01
% 0.58/1.01 % Terminating...
% 1.75/1.08 % Runner terminated.
% 1.75/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------