TSTP Solution File: GRP682+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP682+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.25wWrGYgUl 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 Aug 31 01:52:54 EDT 2023
% Result : Theorem 3.81s 1.14s
% Output : Refutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 64 ( 54 unt; 6 typ; 0 def)
% Number of atoms : 62 ( 61 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 611 ( 7 ~; 2 |; 2 &; 600 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 117 ( 0 ^; 117 !; 0 ?; 117 :)
% Comments :
%------------------------------------------------------------------------------
thf(rd_type,type,
rd: $i > $i > $i ).
thf(mult_type,type,
mult: $i > $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(ld_type,type,
ld: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(goals,conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( ( ld @ ( rd @ X0 @ X1 ) @ ( mult @ ( rd @ X0 @ X1 ) @ X2 ) )
= ( ld @ X0 @ ( mult @ X0 @ X2 ) ) )
& ( ( ld @ ( ld @ X0 @ X1 ) @ ( mult @ ( ld @ X0 @ X1 ) @ X2 ) )
= ( ld @ X0 @ ( mult @ X0 @ X2 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i,X2: $i] :
( ( ( ld @ ( rd @ X0 @ X1 ) @ ( mult @ ( rd @ X0 @ X1 ) @ X2 ) )
= ( ld @ X0 @ ( mult @ X0 @ X2 ) ) )
& ( ( ld @ ( ld @ X0 @ X1 ) @ ( mult @ ( ld @ X0 @ X1 ) @ X2 ) )
= ( ld @ X0 @ ( mult @ X0 @ X2 ) ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl7,plain,
( ( ( ld @ ( rd @ sk_ @ sk__1 ) @ ( mult @ ( rd @ sk_ @ sk__1 ) @ sk__2 ) )
!= ( ld @ sk_ @ ( mult @ sk_ @ sk__2 ) ) )
| ( ( ld @ ( ld @ sk_ @ sk__1 ) @ ( mult @ ( ld @ sk_ @ sk__1 ) @ sk__2 ) )
!= ( ld @ sk_ @ ( mult @ sk_ @ sk__2 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(f04,axiom,
! [B: $i,A: $i] :
( ( mult @ ( rd @ A @ B ) @ B )
= ( rd @ ( mult @ A @ B ) @ B ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( rd @ ( mult @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[f04]) ).
thf(f02,axiom,
! [A: $i] :
( ( rd @ ( mult @ A @ A ) @ A )
= A ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( rd @ ( mult @ X0 @ X0 ) @ X0 )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( mult @ ( rd @ X0 @ X0 ) @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl9_001,plain,
! [X0: $i] :
( ( mult @ ( rd @ X0 @ X0 ) @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(f07,axiom,
! [B: $i,A: $i] :
( ( ld @ A @ ( mult @ A @ ( ld @ B @ B ) ) )
= ( rd @ ( mult @ ( rd @ A @ A ) @ B ) @ B ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( ld @ X0 @ ( mult @ X0 @ ( ld @ X1 @ X1 ) ) )
= ( rd @ ( mult @ ( rd @ X0 @ X0 ) @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[f07]) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ( ld @ X0 @ ( mult @ X0 @ ( ld @ X0 @ X0 ) ) )
= ( rd @ X0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).
thf(f03,axiom,
! [B: $i,A: $i] :
( ( mult @ A @ ( ld @ A @ B ) )
= ( ld @ A @ ( mult @ A @ B ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( mult @ X0 @ ( ld @ X0 @ X1 ) )
= ( ld @ X0 @ ( mult @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[f03]) ).
thf(f01,axiom,
! [A: $i] :
( ( ld @ A @ ( mult @ A @ A ) )
= A ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( ld @ X0 @ ( mult @ X0 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ( ld @ X0 @ X0 )
= ( rd @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl34,plain,
! [X0: $i] :
( ( mult @ ( ld @ X0 @ X0 ) @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl32]) ).
thf(f05,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ld @ ( ld @ A @ B ) @ ( mult @ ( ld @ A @ B ) @ ( mult @ C @ D ) ) )
= ( mult @ ( ld @ A @ ( mult @ A @ C ) ) @ D ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ld @ ( ld @ X0 @ X3 ) @ ( mult @ ( ld @ X0 @ X3 ) @ ( mult @ X1 @ X2 ) ) )
= ( mult @ ( ld @ X0 @ ( mult @ X0 @ X1 ) ) @ X2 ) ),
inference(cnf,[status(esa)],[f05]) ).
thf(zip_derived_cl0_002,plain,
! [X0: $i] :
( ( ld @ X0 @ ( mult @ X0 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl4_003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ld @ ( ld @ X0 @ X3 ) @ ( mult @ ( ld @ X0 @ X3 ) @ ( mult @ X1 @ X2 ) ) )
= ( mult @ ( ld @ X0 @ ( mult @ X0 @ X1 ) ) @ X2 ) ),
inference(cnf,[status(esa)],[f05]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ld @ X0 @ ( mult @ X0 @ ( mult @ X2 @ X1 ) ) )
= ( mult @ ( ld @ X0 @ ( mult @ X0 @ X2 ) ) @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ld @ ( ld @ X0 @ X3 ) @ ( mult @ ( ld @ X0 @ X3 ) @ ( mult @ X1 @ X2 ) ) )
= ( ld @ X0 @ ( mult @ X0 @ ( mult @ X1 @ X2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl21]) ).
thf(zip_derived_cl116,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ld @ ( ld @ X1 @ X2 ) @ ( mult @ ( ld @ X1 @ X2 ) @ X0 ) )
= ( ld @ X1 @ ( mult @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl57]) ).
thf(zip_derived_cl403,plain,
( ( ( ld @ ( rd @ sk_ @ sk__1 ) @ ( mult @ ( rd @ sk_ @ sk__1 ) @ sk__2 ) )
!= ( ld @ sk_ @ ( mult @ sk_ @ sk__2 ) ) )
| ( ( ld @ sk_ @ ( mult @ sk_ @ sk__2 ) )
!= ( ld @ sk_ @ ( mult @ sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl116]) ).
thf(zip_derived_cl404,plain,
( ( ld @ ( rd @ sk_ @ sk__1 ) @ ( mult @ ( rd @ sk_ @ sk__1 ) @ sk__2 ) )
!= ( ld @ sk_ @ ( mult @ sk_ @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl403]) ).
thf(zip_derived_cl32_004,plain,
! [X0: $i] :
( ( ld @ X0 @ X0 )
= ( rd @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl32_005,plain,
! [X0: $i] :
( ( ld @ X0 @ X0 )
= ( rd @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl34_006,plain,
! [X0: $i] :
( ( mult @ ( ld @ X0 @ X0 ) @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl32]) ).
thf(f06,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( rd @ ( mult @ ( mult @ A @ B ) @ ( rd @ C @ D ) ) @ ( rd @ C @ D ) )
= ( mult @ A @ ( rd @ ( mult @ B @ D ) @ D ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( rd @ ( mult @ ( mult @ X0 @ X1 ) @ ( rd @ X3 @ X2 ) ) @ ( rd @ X3 @ X2 ) )
= ( mult @ X0 @ ( rd @ ( mult @ X1 @ X2 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[f06]) ).
thf(zip_derived_cl3_007,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( rd @ ( mult @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( rd @ ( mult @ ( mult @ X0 @ X1 ) @ ( rd @ X3 @ X2 ) ) @ ( rd @ X3 @ X2 ) )
= ( mult @ X0 @ ( mult @ ( rd @ X1 @ X2 ) @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl3]) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rd @ ( mult @ X0 @ ( rd @ X2 @ X1 ) ) @ ( rd @ X2 @ X1 ) )
= ( mult @ ( ld @ X0 @ X0 ) @ ( mult @ ( rd @ X0 @ X1 ) @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl40]) ).
thf(zip_derived_cl512,plain,
! [X0: $i,X1: $i] :
( ( rd @ ( mult @ X0 @ ( rd @ X1 @ X0 ) ) @ ( rd @ X1 @ X0 ) )
= ( mult @ ( ld @ X0 @ X0 ) @ ( mult @ ( ld @ X0 @ X0 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl53]) ).
thf(zip_derived_cl34_008,plain,
! [X0: $i] :
( ( mult @ ( ld @ X0 @ X0 ) @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl32]) ).
thf(zip_derived_cl34_009,plain,
! [X0: $i] :
( ( mult @ ( ld @ X0 @ X0 ) @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl32]) ).
thf(zip_derived_cl525,plain,
! [X0: $i,X1: $i] :
( ( rd @ ( mult @ X0 @ ( rd @ X1 @ X0 ) ) @ ( rd @ X1 @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl512,zip_derived_cl34,zip_derived_cl34]) ).
thf(zip_derived_cl568,plain,
! [X0: $i] :
( ( rd @ ( mult @ X0 @ ( ld @ X0 @ X0 ) ) @ ( ld @ X0 @ X0 ) )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl525]) ).
thf(zip_derived_cl2_010,plain,
! [X0: $i,X1: $i] :
( ( mult @ X0 @ ( ld @ X0 @ X1 ) )
= ( ld @ X0 @ ( mult @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl0_011,plain,
! [X0: $i] :
( ( ld @ X0 @ ( mult @ X0 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl587,plain,
! [X0: $i] :
( ( rd @ X0 @ ( ld @ X0 @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl568,zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl53_012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rd @ ( mult @ X0 @ ( rd @ X2 @ X1 ) ) @ ( rd @ X2 @ X1 ) )
= ( mult @ ( ld @ X0 @ X0 ) @ ( mult @ ( rd @ X0 @ X1 ) @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl40]) ).
thf(zip_derived_cl0_013,plain,
! [X0: $i] :
( ( ld @ X0 @ ( mult @ X0 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl21_014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ld @ X0 @ ( mult @ X0 @ ( mult @ X2 @ X1 ) ) )
= ( mult @ ( ld @ X0 @ ( mult @ X0 @ X2 ) ) @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i] :
( ( ld @ X0 @ ( mult @ X0 @ ( mult @ X0 @ X1 ) ) )
= ( mult @ X0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl21]) ).
thf(zip_derived_cl116_015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ld @ ( ld @ X1 @ X2 ) @ ( mult @ ( ld @ X1 @ X2 ) @ X0 ) )
= ( ld @ X1 @ ( mult @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl57]) ).
thf(zip_derived_cl421,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ld @ ( mult @ X1 @ X0 ) @ ( mult @ ( mult @ X1 @ X0 ) @ X2 ) )
= ( ld @ X1 @ ( mult @ X1 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl66,zip_derived_cl116]) ).
thf(zip_derived_cl885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ld @ ( rd @ ( mult @ X2 @ ( rd @ X1 @ X0 ) ) @ ( rd @ X1 @ X0 ) ) @ ( mult @ ( rd @ ( mult @ X2 @ ( rd @ X1 @ X0 ) ) @ ( rd @ X1 @ X0 ) ) @ X3 ) )
= ( ld @ ( ld @ X2 @ X2 ) @ ( mult @ ( ld @ X2 @ X2 ) @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl53,zip_derived_cl421]) ).
thf(zip_derived_cl3_016,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( rd @ ( mult @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl3_017,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
= ( rd @ ( mult @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl421_018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ld @ ( mult @ X1 @ X0 ) @ ( mult @ ( mult @ X1 @ X0 ) @ X2 ) )
= ( ld @ X1 @ ( mult @ X1 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl66,zip_derived_cl116]) ).
thf(zip_derived_cl116_019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ld @ ( ld @ X1 @ X2 ) @ ( mult @ ( ld @ X1 @ X2 ) @ X0 ) )
= ( ld @ X1 @ ( mult @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl57]) ).
thf(zip_derived_cl906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ld @ ( rd @ X2 @ ( rd @ X1 @ X0 ) ) @ ( mult @ ( rd @ X2 @ ( rd @ X1 @ X0 ) ) @ X3 ) )
= ( ld @ X2 @ ( mult @ X2 @ X3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl885,zip_derived_cl3,zip_derived_cl3,zip_derived_cl421,zip_derived_cl116]) ).
thf(zip_derived_cl1972,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ld @ ( rd @ X2 @ X0 ) @ ( mult @ ( rd @ X2 @ X0 ) @ X1 ) )
= ( ld @ X2 @ ( mult @ X2 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl587,zip_derived_cl906]) ).
thf(zip_derived_cl2055,plain,
( ( ld @ sk_ @ ( mult @ sk_ @ sk__2 ) )
!= ( ld @ sk_ @ ( mult @ sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl404,zip_derived_cl1972]) ).
thf(zip_derived_cl2056,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl2055]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP682+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.25wWrGYgUl true
% 0.13/0.34 % Computer : n004.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 : Tue Aug 29 00:31:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/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
% 0.19/0.64 % Total configuration time : 435
% 0.19/0.64 % Estimated wc time : 1092
% 0.19/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.81/1.14 % Solved by fo/fo6_bce.sh.
% 3.81/1.14 % BCE start: 8
% 3.81/1.14 % BCE eliminated: 0
% 3.81/1.14 % PE start: 8
% 3.81/1.14 logic: eq
% 3.81/1.14 % PE eliminated: 0
% 3.81/1.14 % done 100 iterations in 0.426s
% 3.81/1.14 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.81/1.14 % SZS output start Refutation
% See solution above
% 3.81/1.14
% 3.81/1.14
% 3.81/1.14 % Terminating...
% 4.33/1.26 % Runner terminated.
% 4.33/1.28 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------