%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : TOP022+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 21 21:34:23 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 16 ( 0 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 12 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( isomorphic_groups(X,Y)
| ~ a_group_isomorphism_from_to(Z,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isomorphic_groups_defn) ).
cnf(3,axiom,
( ~ path_connected(X)
| ~ a_member_of(Y,X)
| ~ a_member_of(Z,X)
| a_path_from_to_in('SKOLEMAAAV2'(Y,Z,X),Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',path_connected_defn) ).
cnf(6,axiom,
( ~ a_path_from_to_in(X,Y,Z,U)
| a_group_isomorphism_from_to(alpha_hat(X),first_homotop_grp(U,Y),first_homotop_grp(U,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_8_2_1) ).
cnf(7,negated_conjecture,
path_connected('SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_8_2_2) ).
cnf(8,negated_conjecture,
a_member_of('SKOLEMAAAV4','SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_8_2_2) ).
cnf(9,negated_conjecture,
a_member_of('SKOLEMAAAV5','SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_8_2_2) ).
cnf(10,negated_conjecture,
~ isomorphic_groups(first_homotop_grp('SKOLEMAAAV3','SKOLEMAAAV4'),first_homotop_grp('SKOLEMAAAV3','SKOLEMAAAV5')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_8_2_2) ).
cnf(11,plain,
~ a_group_isomorphism_from_to(X,first_homotop_grp('SKOLEMAAAV3','SKOLEMAAAV4'),first_homotop_grp('SKOLEMAAAV3','SKOLEMAAAV5')),
inference('UR-RESOLVE',[status(thm)],[2,10]) ).
cnf(13,plain,
a_path_from_to_in('SKOLEMAAAV2'('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV3'),'SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[3,7,8,9]) ).
cnf(16,plain,
~ a_path_from_to_in(X,'SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[6,11]) ).
cnf(17,plain,
$false,
inference('REWRITE',[status(thm)],[13,16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : TOP022+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 08:47:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T08:47:45
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-05-29T08:47:45
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 #||
% 0.18/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % SZS output start Refutation
% See solution above
% 0.18/0.48 ||#
% 0.18/0.48
% 0.18/0.48 ; Summary of computation:
% 0.18/0.48 ; 28 formulas have been input or derived (from 12 formulas).
% 0.18/0.48 ; 17 (61%) were retained. Of these,
% 0.18/0.48 ; 1 ( 6%) were simplified or subsumed later,
% 0.18/0.48 ; 16 (94%) are still being kept.
% 0.18/0.48 ;
% 0.18/0.48 ; Run time in seconds excluding printing time:
% 0.18/0.48 ; 0.002 7% Read assertion file (1 call)
% 0.18/0.48 ; 0.000 0% Assert (4 calls)
% 0.18/0.48 ; 0.001 4% Process new row (27 calls)
% 0.18/0.48 ; 0.000 0% Resolution (22 calls)
% 0.18/0.48 ; 0.000 0% Paramodulation (11 calls)
% 0.18/0.48 ; 0.000 0% Factoring (1 call)
% 0.18/0.48 ; 0.000 0% Condensing (7 calls)
% 0.18/0.48 ; 0.000 0% Forward subsumption (7 calls)
% 0.18/0.48 ; 0.000 0% Backward subsumption (6 calls)
% 0.18/0.48 ; 0.000 0% Clause clause subsumption (1 call)
% 0.18/0.48 ; 0.001 4% Forward simplification (27 calls)
% 0.18/0.48 ; 0.000 0% Backward simplification (17 calls)
% 0.18/0.48 ; 0.000 0% Ordering (2 calls)
% 0.18/0.48 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.48 ; 0.001 4% Purity testing (1 call)
% 0.18/0.48 ; 0.023 82% Other
% 0.18/0.48 ; 0.028 Total
% 0.18/0.48 ; 0.029 Real time
% 0.18/0.48 ;
% 0.18/0.49 ; Term-hash-array has 31 terms in all.
% 0.18/0.49 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.18/0.49 ; Feature-vector-row-index has 18 nodes (18 at peak, 18 added, 0 deleted).
% 0.18/0.49 ; Retrieved 1 possibly forward subsuming row in 7 calls.
% 0.18/0.49 ; Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.18/0.49 ; Path-index has 32 entries (34 at peak, 34 added, 2 deleted).
% 0.18/0.49 ; Path-index has 111 nodes (111 at peak, 111 added, 0 deleted).
% 0.18/0.49 ; Trie-index has 32 entries (34 at peak, 34 added, 2 deleted).
% 0.18/0.49 ; Trie-index has 101 nodes (108 at peak, 108 added, 7 deleted).
% 0.18/0.49 ; Retrieved 9 generalization terms in 19 calls.
% 0.18/0.49 ; Retrieved 11 instance terms in 10 calls.
% 0.18/0.49 ; Retrieved 114 unifiable terms in 74 calls.
% 0.18/0.49 ;
% 0.18/0.49 ; The agenda of rows to process has 1 entry:
% 0.18/0.49 ; 1 with value 11
% 0.18/0.49 ; The agenda of rows to give has 4 entries:
% 0.18/0.49 ; 1 with value (4 8) 3 with value (4 11)
% 0.18/0.49 Evaluation took:
% 0.18/0.49 0.029 seconds of real time
% 0.18/0.49 0.022081 seconds of user run time
% 0.18/0.49 0.006969 seconds of system run time
% 0.18/0.49 0 calls to %EVAL
% 0.18/0.49 0 page faults and
% 0.18/0.49 2,042,952 bytes consed.
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T08:47:45
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 *
%------------------------------------------------------------------------------