TSTP Solution File: SET968+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET968+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LhDPJonMNy true
% Computer : n001.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 16:17:02 EDT 2023
% Result : Theorem 0.21s 0.75s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 13 unt; 6 typ; 0 def)
% Number of atoms : 15 ( 14 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 182 ( 3 ~; 0 |; 1 &; 178 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 35 ( 0 ^; 35 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(t121_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( cartesian_product2 @ ( set_union2 @ A @ B ) @ ( set_union2 @ C @ D ) )
= ( set_union2 @ ( set_union2 @ ( set_union2 @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ A @ D ) ) @ ( cartesian_product2 @ B @ C ) ) @ ( cartesian_product2 @ B @ D ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( cartesian_product2 @ ( set_union2 @ A @ B ) @ ( set_union2 @ C @ D ) )
= ( set_union2 @ ( set_union2 @ ( set_union2 @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ A @ D ) ) @ ( cartesian_product2 @ B @ C ) ) @ ( cartesian_product2 @ B @ D ) ) ),
inference('cnf.neg',[status(esa)],[t121_zfmisc_1]) ).
thf(zip_derived_cl8,plain,
( ( cartesian_product2 @ ( set_union2 @ sk__2 @ sk__3 ) @ ( set_union2 @ sk__4 @ sk__5 ) )
!= ( set_union2 @ ( set_union2 @ ( set_union2 @ ( cartesian_product2 @ sk__2 @ sk__4 ) @ ( cartesian_product2 @ sk__2 @ sk__5 ) ) @ ( cartesian_product2 @ sk__3 @ sk__4 ) ) @ ( cartesian_product2 @ sk__3 @ sk__5 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t120_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( cartesian_product2 @ C @ ( set_union2 @ A @ B ) )
= ( set_union2 @ ( cartesian_product2 @ C @ A ) @ ( cartesian_product2 @ C @ B ) ) )
& ( ( cartesian_product2 @ ( set_union2 @ A @ B ) @ C )
= ( set_union2 @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ C ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cartesian_product2 @ ( set_union2 @ X0 @ X2 ) @ X1 )
= ( set_union2 @ ( cartesian_product2 @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[t120_zfmisc_1]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cartesian_product2 @ X0 @ ( set_union2 @ X1 @ X2 ) )
= ( set_union2 @ ( cartesian_product2 @ X0 @ X1 ) @ ( cartesian_product2 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[t120_zfmisc_1]) ).
thf(zip_derived_cl7_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cartesian_product2 @ X0 @ ( set_union2 @ X1 @ X2 ) )
= ( set_union2 @ ( cartesian_product2 @ X0 @ X1 ) @ ( cartesian_product2 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[t120_zfmisc_1]) ).
thf(t4_xboole_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( set_union2 @ ( set_union2 @ A @ B ) @ C )
= ( set_union2 @ A @ ( set_union2 @ B @ C ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_union2 @ ( set_union2 @ X0 @ X1 ) @ X2 )
= ( set_union2 @ X0 @ ( set_union2 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[t4_xboole_1]) ).
thf(zip_derived_cl9_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_union2 @ ( set_union2 @ X0 @ X1 ) @ X2 )
= ( set_union2 @ X0 @ ( set_union2 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[t4_xboole_1]) ).
thf(zip_derived_cl9_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_union2 @ ( set_union2 @ X0 @ X1 ) @ X2 )
= ( set_union2 @ X0 @ ( set_union2 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[t4_xboole_1]) ).
thf(zip_derived_cl9_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_union2 @ ( set_union2 @ X0 @ X1 ) @ X2 )
= ( set_union2 @ X0 @ ( set_union2 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[t4_xboole_1]) ).
thf(zip_derived_cl54,plain,
( ( set_union2 @ ( cartesian_product2 @ sk__2 @ sk__4 ) @ ( set_union2 @ ( cartesian_product2 @ sk__2 @ sk__5 ) @ ( set_union2 @ ( cartesian_product2 @ sk__3 @ sk__4 ) @ ( cartesian_product2 @ sk__3 @ sk__5 ) ) ) )
!= ( set_union2 @ ( cartesian_product2 @ sk__2 @ sk__4 ) @ ( set_union2 @ ( cartesian_product2 @ sk__2 @ sk__5 ) @ ( set_union2 @ ( cartesian_product2 @ sk__3 @ sk__4 ) @ ( cartesian_product2 @ sk__3 @ sk__5 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl6,zip_derived_cl7,zip_derived_cl7,zip_derived_cl9,zip_derived_cl9,zip_derived_cl9,zip_derived_cl9]) ).
thf(zip_derived_cl55,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl54]) ).
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET968+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LhDPJonMNy true
% 0.13/0.34 % Computer : n001.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 : Sat Aug 26 15:36:46 EDT 2023
% 0.13/0.34 % 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % Solved by fo/fo3_bce.sh.
% 0.21/0.75 % BCE start: 10
% 0.21/0.75 % BCE eliminated: 0
% 0.21/0.75 % PE start: 10
% 0.21/0.75 logic: eq
% 0.21/0.75 % PE eliminated: 0
% 0.21/0.75 % done 11 iterations in 0.011s
% 0.21/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.75 % SZS output start Refutation
% See solution above
% 0.21/0.75
% 0.21/0.75
% 0.21/0.75 % Terminating...
% 1.37/0.86 % Runner terminated.
% 1.37/0.87 % Zipperpin 1.5 exiting
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