TSTP Solution File: ALG211+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG211+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 : 600s
% DateTime : Thu Jul 14 18:00:11 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 10 unt; 0 nHn; 17 RR)
% Number of literals : 27 ( 0 equ; 12 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 16 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ basis_of(X,Y)
| lin_ind_subset(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',basis_of) ).
cnf(2,axiom,
( ~ basis_of(X,Y)
| a_subset_of(X,vec_to_class(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',basis_of) ).
cnf(4,axiom,
( ~ lin_ind_subset(X,Y)
| ~ basis_of(Z,Y)
| basis_of(union(X,'SKOLEMAAAV1'(Z,X,Y)),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bg_2_2_5) ).
cnf(5,axiom,
( ~ a_vector_space(X)
| basis_of('SKOLEMAAAV2'(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bg_remark_63_a) ).
cnf(6,axiom,
( ~ a_vector_subspace_of(X,Y)
| a_vector_space(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bg_2_4_a) ).
cnf(7,axiom,
( ~ a_vector_subspace_of(X,Y)
| ~ a_subset_of(Z,vec_to_class(X))
| ~ lin_ind_subset(Z,X)
| lin_ind_subset(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bg_2_4_2) ).
cnf(9,negated_conjecture,
a_vector_subspace_of('SKOLEMAAAV3','SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bg_2_4_3) ).
cnf(10,negated_conjecture,
a_vector_space('SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bg_2_4_3) ).
cnf(11,negated_conjecture,
( ~ basis_of(union(X,Y),'SKOLEMAAAV4')
| ~ basis_of(X,'SKOLEMAAAV3') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bg_2_4_3) ).
cnf(12,plain,
a_vector_space('SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[6,9]) ).
cnf(13,plain,
basis_of('SKOLEMAAAV2'('SKOLEMAAAV4'),'SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[5,10]) ).
cnf(14,plain,
basis_of('SKOLEMAAAV2'('SKOLEMAAAV3'),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[5,12]) ).
cnf(17,plain,
lin_ind_subset('SKOLEMAAAV2'('SKOLEMAAAV3'),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[1,14]) ).
cnf(18,plain,
a_subset_of('SKOLEMAAAV2'('SKOLEMAAAV3'),vec_to_class('SKOLEMAAAV3')),
inference('HYPERRESOLVE',[status(thm)],[2,14]) ).
cnf(19,plain,
~ basis_of(union('SKOLEMAAAV2'('SKOLEMAAAV3'),X),'SKOLEMAAAV4'),
inference('UR-RESOLVE',[status(thm)],[11,14]) ).
cnf(24,plain,
lin_ind_subset('SKOLEMAAAV2'('SKOLEMAAAV3'),'SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[7,18,9,17]) ).
cnf(26,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[4,24,13]),19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG211+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 8 06:38:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T06:38:50
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-08T06:38:50
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51 #||
% 0.21/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.51 % SZS output start Refutation
% See solution above
% 0.21/0.52 ||#
% 0.21/0.52
% 0.21/0.52 ; Summary of computation:
% 0.21/0.52 ; 42 formulas have been input or derived (from 20 formulas).
% 0.21/0.52 ; 26 (62%) were retained. Of these,
% 0.21/0.52 ; 26 (100%) are still being kept.
% 0.21/0.52 ;
% 0.21/0.52 ; Run time in seconds excluding printing time:
% 0.21/0.52 ; 0.002 7% Read assertion file (1 call)
% 0.21/0.52 ; 0.001 3% Assert (6 calls)
% 0.21/0.52 ; 0.004 13% Process new row (27 calls)
% 0.21/0.52 ; 0.000 0% Resolution (38 calls)
% 0.21/0.52 ; 0.000 0% Paramodulation (19 calls)
% 0.21/0.52 ; 0.000 0% Condensing (9 calls)
% 0.21/0.52 ; 0.000 0% Forward subsumption (9 calls)
% 0.21/0.52 ; 0.000 0% Backward subsumption (9 calls)
% 0.21/0.52 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.21/0.52 ; 0.000 0% Forward simplification (27 calls)
% 0.21/0.52 ; 0.001 3% Backward simplification (26 calls)
% 0.21/0.52 ; 0.001 3% Sortal reasoning (32 calls)
% 0.21/0.52 ; 0.000 0% Purity testing (1 call)
% 0.21/0.52 ; 0.021 70% Other
% 0.21/0.52 ; 0.030 Total
% 0.21/0.52 ; 0.032 Real time
% 0.21/0.52 ;
% 0.21/0.52 ; Term-hash-array has 46 terms in all.
% 0.21/0.52 ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 0.21/0.52 ; Feature-vector-row-index has 28 nodes (28 at peak, 28 added, 0 deleted).
% 0.21/0.52 ; Retrieved 1 possibly forward subsuming row in 9 calls.
% 0.21/0.52 ; Retrieved 1 possibly backward subsumed row in 9 calls.
% 0.21/0.52 ; Path-index has 48 entries (48 at peak, 48 added, 0 deleted).
% 0.21/0.52 ; Path-index has 134 nodes (134 at peak, 134 added, 0 deleted).
% 0.21/0.52 ; Trie-index has 48 entries (48 at peak, 48 added, 0 deleted).
% 0.21/0.52 ; Trie-index has 139 nodes (139 at peak, 139 added, 0 deleted).
% 0.21/0.52 ; Retrieved 2 generalization terms in 13 calls.
% 0.21/0.52 ; Retrieved 16 instance terms in 16 calls.
% 0.21/0.52 ; Retrieved 325 unifiable terms in 184 calls.
% 0.21/0.52 ;
% 0.21/0.52 ; The agenda of rows to give has 6 entries:
% 0.21/0.52 ; 1 with value (4 12) 1 with value (4 16) 1 with value (4 18)
% 0.21/0.52 ; 1 with value (4 15) 1 with value (4 17) 1 with value (4 19)
% 0.21/0.52 Evaluation took:
% 0.21/0.52 0.033 seconds of real time
% 0.21/0.52 0.030251 seconds of user run time
% 0.21/0.52 0.002799 seconds of system run time
% 0.21/0.52 0 calls to %EVAL
% 0.21/0.52 0 page faults and
% 0.21/0.52 2,452,192 bytes consed.
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T06:38:50
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 *
%------------------------------------------------------------------------------