TSTP Solution File: ALG211+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG211+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tGeht5kYBo true
% Computer : n018.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 : Wed Aug 30 17:12:11 EDT 2023
% Result : Theorem 0.21s 0.72s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 41 ( 9 unt; 11 typ; 0 def)
% Number of atoms : 65 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 209 ( 25 ~; 19 |; 8 &; 149 @)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 46 ( 0 ^; 40 !; 6 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(lin_ind_subset_type,type,
lin_ind_subset: $i > $i > $o ).
thf(a_subset_of_type,type,
a_subset_of: $i > $i > $o ).
thf(vec_to_class_type,type,
vec_to_class: $i > $i ).
thf(basis_of_type,type,
basis_of: $i > $i > $o ).
thf(union_type,type,
union: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(a_vector_subspace_of_type,type,
a_vector_subspace_of: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(a_vector_space_type,type,
a_vector_space: $i > $o ).
thf(bg_2_4_3,conjecture,
! [W: $i,V: $i] :
( ( ( a_vector_subspace_of @ W @ V )
& ( a_vector_space @ V ) )
=> ? [E: $i,F: $i] :
( ( basis_of @ E @ W )
& ( basis_of @ ( union @ E @ F ) @ V ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [W: $i,V: $i] :
( ( ( a_vector_subspace_of @ W @ V )
& ( a_vector_space @ V ) )
=> ? [E: $i,F: $i] :
( ( basis_of @ E @ W )
& ( basis_of @ ( union @ E @ F ) @ V ) ) ),
inference('cnf.neg',[status(esa)],[bg_2_4_3]) ).
thf(zip_derived_cl9,plain,
a_vector_space @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(bg_remark_63_a,axiom,
! [A: $i] :
( ( a_vector_space @ A )
=> ? [B: $i] : ( basis_of @ B @ A ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( basis_of @ ( sk__1 @ X0 ) @ X0 )
| ~ ( a_vector_space @ X0 ) ),
inference(cnf,[status(esa)],[bg_remark_63_a]) ).
thf(zip_derived_cl12,plain,
basis_of @ ( sk__1 @ sk__3 ) @ sk__3,
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl4]) ).
thf(basis_of,axiom,
! [B: $i,V: $i] :
( ( basis_of @ B @ V )
=> ( ( lin_ind_subset @ B @ V )
& ( a_subset_of @ B @ ( vec_to_class @ V ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( a_subset_of @ X0 @ ( vec_to_class @ X1 ) )
| ~ ( basis_of @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[basis_of]) ).
thf(zip_derived_cl8,plain,
a_vector_subspace_of @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(bg_2_4_2,axiom,
! [W: $i,V: $i,E: $i] :
( ( ( a_vector_subspace_of @ W @ V )
& ( a_subset_of @ E @ ( vec_to_class @ W ) ) )
=> ( ( lin_ind_subset @ E @ W )
<=> ( lin_ind_subset @ E @ V ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( a_vector_subspace_of @ X0 @ X1 )
| ~ ( a_subset_of @ X2 @ ( vec_to_class @ X0 ) )
| ( lin_ind_subset @ X2 @ X1 )
| ~ ( lin_ind_subset @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[bg_2_4_2]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ~ ( lin_ind_subset @ X0 @ sk__2 )
| ( lin_ind_subset @ X0 @ sk__3 )
| ~ ( a_subset_of @ X0 @ ( vec_to_class @ sk__2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl6]) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ~ ( basis_of @ X0 @ sk__2 )
| ( lin_ind_subset @ X0 @ sk__3 )
| ~ ( lin_ind_subset @ X0 @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl13]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( lin_ind_subset @ X0 @ X1 )
| ~ ( basis_of @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[basis_of]) ).
thf(zip_derived_cl25,plain,
! [X0: $i] :
( ( lin_ind_subset @ X0 @ sk__3 )
| ~ ( basis_of @ X0 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl16,zip_derived_cl0]) ).
thf(bg_2_2_5,axiom,
! [S: $i,T: $i,V: $i] :
( ( ( lin_ind_subset @ S @ V )
& ( basis_of @ T @ V ) )
=> ? [U: $i] :
( ( basis_of @ ( union @ S @ U ) @ V )
& ( a_subset_of @ U @ T ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( basis_of @ ( union @ X0 @ ( sk_ @ X1 @ X2 @ X0 ) ) @ X1 )
| ~ ( basis_of @ X2 @ X1 )
| ~ ( lin_ind_subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[bg_2_2_5]) ).
thf(zip_derived_cl8_001,plain,
a_vector_subspace_of @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(bg_2_4_a,axiom,
! [A: $i,B: $i] :
( ( a_vector_subspace_of @ A @ B )
=> ( a_vector_space @ A ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( a_vector_space @ X0 )
| ~ ( a_vector_subspace_of @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[bg_2_4_a]) ).
thf(zip_derived_cl4_002,plain,
! [X0: $i] :
( ( basis_of @ ( sk__1 @ X0 ) @ X0 )
| ~ ( a_vector_space @ X0 ) ),
inference(cnf,[status(esa)],[bg_remark_63_a]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( a_vector_subspace_of @ X0 @ X1 )
| ( basis_of @ ( sk__1 @ X0 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl15,plain,
basis_of @ ( sk__1 @ sk__2 ) @ sk__2,
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl11]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( basis_of @ X0 @ sk__2 )
| ~ ( basis_of @ ( union @ X0 @ X1 ) @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
~ ( basis_of @ ( union @ ( sk__1 @ sk__2 ) @ X0 ) @ sk__3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl10]) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ~ ( lin_ind_subset @ ( sk__1 @ sk__2 ) @ sk__3 )
| ~ ( basis_of @ X0 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl21]) ).
thf(zip_derived_cl26,plain,
! [X0: $i] :
( ~ ( basis_of @ ( sk__1 @ sk__2 ) @ sk__2 )
| ~ ( basis_of @ X0 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl22]) ).
thf(zip_derived_cl15_003,plain,
basis_of @ ( sk__1 @ sk__2 ) @ sk__2,
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl11]) ).
thf(zip_derived_cl27,plain,
! [X0: $i] :
~ ( basis_of @ X0 @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl15]) ).
thf(zip_derived_cl29,plain,
$false,
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG211+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tGeht5kYBo true
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 03:38:31 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.72 % Solved by fo/fo6_bce.sh.
% 0.21/0.72 % BCE start: 11
% 0.21/0.72 % BCE eliminated: 0
% 0.21/0.72 % PE start: 11
% 0.21/0.72 logic: neq
% 0.21/0.72 % PE eliminated: 2
% 0.21/0.72 % done 9 iterations in 0.010s
% 0.21/0.72 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.72 % SZS output start Refutation
% See solution above
% 0.21/0.72
% 0.21/0.72
% 0.21/0.72 % Terminating...
% 0.21/0.74 % Runner terminated.
% 0.21/0.75 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------