TSTP Solution File: SEU305+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU305+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UUH3uHu9Bw true
% Computer : n011.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 19:12:00 EDT 2023
% Result : Theorem 0.21s 0.82s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 56 ( 24 unt; 11 typ; 0 def)
% Number of atoms : 130 ( 26 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 474 ( 59 ~; 56 |; 15 &; 330 @)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 45 ( 0 ^; 45 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(empty_carrier_type,type,
empty_carrier: $i > $o ).
thf(join_type,type,
join: $i > $i > $i > $i ).
thf(join_commutative_type,type,
join_commutative: $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(join_commut_type,type,
join_commut: $i > $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(below_type,type,
below: $i > $i > $i > $o ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(join_semilatt_str_type,type,
join_semilatt_str: $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(t26_lattices,conjecture,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( join_commutative @ A )
& ( join_semilatt_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( ( below @ A @ B @ C )
& ( below @ A @ C @ B ) )
=> ( B = C ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( join_commutative @ A )
& ( join_semilatt_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( ( below @ A @ B @ C )
& ( below @ A @ C @ B ) )
=> ( B = C ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t26_lattices]) ).
thf(zip_derived_cl50,plain,
below @ sk__7 @ sk__8 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_lattices,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( join_semilatt_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( below @ A @ B @ C )
<=> ( ( join @ A @ B @ C )
= C ) ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( below @ X1 @ X0 @ X2 )
| ( ( join @ X1 @ X0 @ X2 )
= X2 )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) )
| ~ ( join_semilatt_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d3_lattices]) ).
thf(zip_derived_cl308,plain,
( ( empty_carrier @ sk__7 )
| ~ ( join_semilatt_str @ sk__7 )
| ~ ( element @ sk__9 @ ( the_carrier @ sk__7 ) )
| ( ( join @ sk__7 @ sk__8 @ sk__9 )
= sk__9 )
| ~ ( element @ sk__8 @ ( the_carrier @ sk__7 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl50,zip_derived_cl6]) ).
thf(zip_derived_cl44,plain,
~ ( empty_carrier @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46,plain,
join_semilatt_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl47,plain,
element @ sk__9 @ ( the_carrier @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51,plain,
element @ sk__8 @ ( the_carrier @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl502,plain,
( ( join @ sk__7 @ sk__8 @ sk__9 )
= sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl44,zip_derived_cl46,zip_derived_cl47,zip_derived_cl51]) ).
thf(zip_derived_cl45,plain,
join_commutative @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(redefinition_k3_lattices,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( empty_carrier @ A )
& ( join_commutative @ A )
& ( join_semilatt_str @ A )
& ( element @ B @ ( the_carrier @ A ) )
& ( element @ C @ ( the_carrier @ A ) ) )
=> ( ( join_commut @ A @ B @ C )
= ( join @ A @ B @ C ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( join_semilatt_str @ X1 )
| ~ ( join_commutative @ X1 )
| ( empty_carrier @ X1 )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) )
| ( ( join_commut @ X1 @ X0 @ X2 )
= ( join @ X1 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[redefinition_k3_lattices]) ).
thf(zip_derived_cl319,plain,
! [X0: $i,X1: $i] :
( ( ( join_commut @ sk__7 @ X0 @ X1 )
= ( join @ sk__7 @ X0 @ X1 ) )
| ~ ( element @ X1 @ ( the_carrier @ sk__7 ) )
| ( empty_carrier @ sk__7 )
| ~ ( join_semilatt_str @ sk__7 )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl39]) ).
thf(zip_derived_cl44_001,plain,
~ ( empty_carrier @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46_002,plain,
join_semilatt_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl572,plain,
! [X0: $i,X1: $i] :
( ( ( join_commut @ sk__7 @ X0 @ X1 )
= ( join @ sk__7 @ X0 @ X1 ) )
| ~ ( element @ X1 @ ( the_carrier @ sk__7 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl319,zip_derived_cl44,zip_derived_cl46]) ).
thf(zip_derived_cl45_003,plain,
join_commutative @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(commutativity_k3_lattices,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( empty_carrier @ A )
& ( join_commutative @ A )
& ( join_semilatt_str @ A )
& ( element @ B @ ( the_carrier @ A ) )
& ( element @ C @ ( the_carrier @ A ) ) )
=> ( ( join_commut @ A @ B @ C )
= ( join_commut @ A @ C @ B ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( join_semilatt_str @ X1 )
| ~ ( join_commutative @ X1 )
| ( empty_carrier @ X1 )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) )
| ( ( join_commut @ X1 @ X0 @ X2 )
= ( join_commut @ X1 @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[commutativity_k3_lattices]) ).
thf(zip_derived_cl317,plain,
! [X0: $i,X1: $i] :
( ( ( join_commut @ sk__7 @ X0 @ X1 )
= ( join_commut @ sk__7 @ X1 @ X0 ) )
| ~ ( element @ X1 @ ( the_carrier @ sk__7 ) )
| ( empty_carrier @ sk__7 )
| ~ ( join_semilatt_str @ sk__7 )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl4]) ).
thf(zip_derived_cl44_004,plain,
~ ( empty_carrier @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46_005,plain,
join_semilatt_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl541,plain,
! [X0: $i,X1: $i] :
( ( ( join_commut @ sk__7 @ X0 @ X1 )
= ( join_commut @ sk__7 @ X1 @ X0 ) )
| ~ ( element @ X1 @ ( the_carrier @ sk__7 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl44,zip_derived_cl46]) ).
thf(zip_derived_cl573,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X1 @ ( the_carrier @ sk__7 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ( ( join @ sk__7 @ X1 @ X0 )
= ( join_commut @ sk__7 @ X0 @ X1 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ~ ( element @ X1 @ ( the_carrier @ sk__7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl572,zip_derived_cl541]) ).
thf(zip_derived_cl576,plain,
! [X0: $i,X1: $i] :
( ( ( join @ sk__7 @ X1 @ X0 )
= ( join_commut @ sk__7 @ X0 @ X1 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ~ ( element @ X1 @ ( the_carrier @ sk__7 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl573]) ).
thf(zip_derived_cl572_006,plain,
! [X0: $i,X1: $i] :
( ( ( join_commut @ sk__7 @ X0 @ X1 )
= ( join @ sk__7 @ X0 @ X1 ) )
| ~ ( element @ X1 @ ( the_carrier @ sk__7 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl319,zip_derived_cl44,zip_derived_cl46]) ).
thf(zip_derived_cl628,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X1 @ ( the_carrier @ sk__7 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ( ( join @ sk__7 @ X1 @ X0 )
= ( join @ sk__7 @ X0 @ X1 ) )
| ~ ( element @ X1 @ ( the_carrier @ sk__7 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl576,zip_derived_cl572]) ).
thf(zip_derived_cl632,plain,
! [X0: $i,X1: $i] :
( ( ( join @ sk__7 @ X1 @ X0 )
= ( join @ sk__7 @ X0 @ X1 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ~ ( element @ X1 @ ( the_carrier @ sk__7 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl628]) ).
thf(zip_derived_cl49,plain,
below @ sk__7 @ sk__9 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( below @ X1 @ X0 @ X2 )
| ( ( join @ X1 @ X0 @ X2 )
= X2 )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) )
| ~ ( join_semilatt_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d3_lattices]) ).
thf(zip_derived_cl307,plain,
( ( empty_carrier @ sk__7 )
| ~ ( join_semilatt_str @ sk__7 )
| ~ ( element @ sk__8 @ ( the_carrier @ sk__7 ) )
| ( ( join @ sk__7 @ sk__9 @ sk__8 )
= sk__8 )
| ~ ( element @ sk__9 @ ( the_carrier @ sk__7 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl6]) ).
thf(zip_derived_cl44_008,plain,
~ ( empty_carrier @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46_009,plain,
join_semilatt_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51_010,plain,
element @ sk__8 @ ( the_carrier @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl47_011,plain,
element @ sk__9 @ ( the_carrier @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl492,plain,
( ( join @ sk__7 @ sk__9 @ sk__8 )
= sk__8 ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl44,zip_derived_cl46,zip_derived_cl51,zip_derived_cl47]) ).
thf(zip_derived_cl730,plain,
( ~ ( element @ sk__8 @ ( the_carrier @ sk__7 ) )
| ~ ( element @ sk__9 @ ( the_carrier @ sk__7 ) )
| ( ( join @ sk__7 @ sk__8 @ sk__9 )
= sk__8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl632,zip_derived_cl492]) ).
thf(zip_derived_cl51_012,plain,
element @ sk__8 @ ( the_carrier @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl47_013,plain,
element @ sk__9 @ ( the_carrier @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl737,plain,
( ( join @ sk__7 @ sk__8 @ sk__9 )
= sk__8 ),
inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl51,zip_derived_cl47]) ).
thf(zip_derived_cl744,plain,
sk__8 = sk__9,
inference(demod,[status(thm)],[zip_derived_cl502,zip_derived_cl737]) ).
thf(zip_derived_cl48,plain,
sk__8 != sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl745,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl744,zip_derived_cl48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU305+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UUH3uHu9Bw true
% 0.13/0.35 % Computer : n011.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 Aug 23 12:15:51 EDT 2023
% 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
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.82 % Solved by fo/fo6_bce.sh.
% 0.21/0.82 % BCE start: 60
% 0.21/0.82 % BCE eliminated: 1
% 0.21/0.82 % PE start: 59
% 0.21/0.82 logic: eq
% 0.21/0.82 % PE eliminated: 11
% 0.21/0.82 % done 110 iterations in 0.090s
% 0.21/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.82 % SZS output start Refutation
% See solution above
% 0.21/0.82
% 0.21/0.82
% 0.21/0.82 % Terminating...
% 1.05/0.87 % Runner terminated.
% 1.05/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------