%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP711+1 : 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.88H21Upr3y true
% Computer : n024.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 04:37:08 PM UTC 2025
% Result : Theorem 0.55s 0.84s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 43 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 54 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 293 ( 5 ~; 6 |; 2 &; 276 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 55 ( 0 ^; 55 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(unit_type,type,
unit: $i ).
thf(sk__type,type,
sk_: $i ).
thf(mult_type,type,
mult: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(i_type,type,
i: $i > $i ).
thf(f04,axiom,
! [A: $i] :
( ( mult @ A @ ( i @ A ) )
= unit ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( mult @ X0 @ ( i @ X0 ) )
= unit ),
inference(cnf,[status(esa)],[f04]) ).
thf(f03,axiom,
! [C: $i,B: $i,A: $i] :
( ( mult @ A @ ( mult @ B @ ( mult @ B @ C ) ) )
= ( mult @ ( mult @ ( mult @ A @ B ) @ B ) @ C ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X0 @ ( mult @ X1 @ ( mult @ X1 @ X2 ) ) )
= ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[f03]) ).
thf(f01,axiom,
! [A: $i] :
( ( mult @ A @ unit )
= A ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( mult @ X0 @ unit )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( mult @ X0 @ ( mult @ X0 @ unit ) ) )
= ( mult @ ( mult @ X1 @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i] :
( ( mult @ X0 @ unit )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( mult @ X0 @ X0 ) )
= ( mult @ ( mult @ X1 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl0]) ).
thf(zip_derived_cl59,plain,
! [X0: $i] :
( ( mult @ X0 @ ( mult @ ( i @ X0 ) @ ( i @ X0 ) ) )
= ( mult @ unit @ ( i @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl38]) ).
thf(f02,axiom,
! [A: $i] :
( ( mult @ unit @ A )
= A ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( mult @ unit @ X0 )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ( mult @ X0 @ ( mult @ ( i @ X0 ) @ ( i @ X0 ) ) )
= ( i @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl1]) ).
thf(goals,conjecture,
! [X6: $i,X7: $i,X8: $i] :
( ( ( ( mult @ X7 @ X6 )
= ( mult @ X8 @ X6 ) )
=> ( X7 = X8 ) )
& ( ( ( mult @ X6 @ X7 )
= ( mult @ X6 @ X8 ) )
=> ( X7 = X8 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X6: $i,X7: $i,X8: $i] :
( ( ( ( mult @ X7 @ X6 )
= ( mult @ X8 @ X6 ) )
=> ( X7 = X8 ) )
& ( ( ( mult @ X6 @ X7 )
= ( mult @ X6 @ X8 ) )
=> ( X7 = X8 ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl8,plain,
( ( ( mult @ sk__1 @ sk_ )
= ( mult @ sk__2 @ sk_ ) )
| ( ( mult @ sk_ @ sk__1 )
= ( mult @ sk_ @ sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X0 @ ( mult @ X1 @ ( mult @ X1 @ X2 ) ) )
= ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ( ( mult @ sk__2 @ ( mult @ sk_ @ ( mult @ sk_ @ X0 ) ) )
= ( mult @ ( mult @ ( mult @ sk__1 @ sk_ ) @ sk_ ) @ X0 ) )
| ( ( mult @ sk_ @ sk__1 )
= ( mult @ sk_ @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl2]) ).
thf(zip_derived_cl2_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X0 @ ( mult @ X1 @ ( mult @ X1 @ X2 ) ) )
= ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( ( mult @ sk__2 @ ( mult @ sk_ @ ( mult @ sk_ @ X0 ) ) )
= ( mult @ sk__1 @ ( mult @ sk_ @ ( mult @ sk_ @ X0 ) ) ) )
| ( ( mult @ sk_ @ sk__1 )
= ( mult @ sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl2]) ).
thf(zip_derived_cl92,plain,
( ( ( mult @ sk__2 @ ( mult @ sk_ @ ( i @ sk_ ) ) )
= ( mult @ sk__1 @ ( mult @ sk_ @ ( mult @ sk_ @ ( mult @ ( i @ sk_ ) @ ( i @ sk_ ) ) ) ) ) )
| ( ( mult @ sk_ @ sk__1 )
= ( mult @ sk_ @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl66,zip_derived_cl36]) ).
thf(zip_derived_cl3_004,plain,
! [X0: $i] :
( ( mult @ X0 @ ( i @ X0 ) )
= unit ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl0_005,plain,
! [X0: $i] :
( ( mult @ X0 @ unit )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl66_006,plain,
! [X0: $i] :
( ( mult @ X0 @ ( mult @ ( i @ X0 ) @ ( i @ X0 ) ) )
= ( i @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl1]) ).
thf(zip_derived_cl3_007,plain,
! [X0: $i] :
( ( mult @ X0 @ ( i @ X0 ) )
= unit ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl0_008,plain,
! [X0: $i] :
( ( mult @ X0 @ unit )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl95,plain,
( ( sk__2 = sk__1 )
| ( ( mult @ sk_ @ sk__1 )
= ( mult @ sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl3,zip_derived_cl0,zip_derived_cl66,zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
( ( sk__1 != sk__2 )
| ( sk__1 != sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
sk__1 != sk__2,
inference(simplify,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl96,plain,
( ( mult @ sk_ @ sk__1 )
= ( mult @ sk_ @ sk__2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl95,zip_derived_cl9]) ).
thf(f05,axiom,
! [A: $i] :
( ( mult @ ( i @ A ) @ A )
= unit ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( mult @ ( i @ X0 ) @ X0 )
= unit ),
inference(cnf,[status(esa)],[f05]) ).
thf(zip_derived_cl2_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X0 @ ( mult @ X1 @ ( mult @ X1 @ X2 ) ) )
= ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl38_010,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( mult @ X0 @ X0 ) )
= ( mult @ ( mult @ X1 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl0]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X0 @ ( mult @ X1 @ ( mult @ X1 @ X2 ) ) )
= ( mult @ ( mult @ X0 @ ( mult @ X1 @ X1 ) ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl38]) ).
thf(zip_derived_cl198,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( i @ ( mult @ X1 @ X1 ) ) @ ( mult @ X1 @ ( mult @ X1 @ X0 ) ) )
= ( mult @ unit @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl55]) ).
thf(zip_derived_cl1_011,plain,
! [X0: $i] :
( ( mult @ unit @ X0 )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl209,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( i @ ( mult @ X1 @ X1 ) ) @ ( mult @ X1 @ ( mult @ X1 @ X0 ) ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl1]) ).
thf(zip_derived_cl340,plain,
( ( mult @ ( i @ ( mult @ sk_ @ sk_ ) ) @ ( mult @ sk_ @ ( mult @ sk_ @ sk__1 ) ) )
= sk__2 ),
inference('sup+',[status(thm)],[zip_derived_cl96,zip_derived_cl209]) ).
thf(zip_derived_cl209_012,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( i @ ( mult @ X1 @ X1 ) ) @ ( mult @ X1 @ ( mult @ X1 @ X0 ) ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl1]) ).
thf(zip_derived_cl357,plain,
sk__1 = sk__2,
inference(demod,[status(thm)],[zip_derived_cl340,zip_derived_cl209]) ).
thf(zip_derived_cl9_013,plain,
sk__1 != sk__2,
inference(simplify,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl358,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl357,zip_derived_cl9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP711+1 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.88H21Upr3y true
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 14:20:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.54/0.63 % Total configuration time : 435
% 0.54/0.63 % Estimated wc time : 1092
% 0.54/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.84 % Solved by fo/fo7.sh.
% 0.55/0.84 % done 38 iterations in 0.059s
% 0.55/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.84 % SZS output start Refutation
% See solution above
% 0.55/0.85
% 0.55/0.85
% 0.55/0.85 % Terminating...
% 0.61/0.95 % Runner terminated.
% 1.84/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------