TSTP Solution File: SEU165+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU165+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 : Tue Jul 19 14:19:43 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 4 unt; 2 nHn; 11 RR)
% Number of literals : 20 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,negated_conjecture,
( ~ in(ordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),cartesian_product2('SKOLEMAAAV5','SKOLEMAAAV6'))
| ~ in('SKOLEMAAAV3','SKOLEMAAAV5')
| ~ in('SKOLEMAAAV4','SKOLEMAAAV6') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
cnf(7,negated_conjecture,
( in(ordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),cartesian_product2('SKOLEMAAAV5','SKOLEMAAAV6'))
| in('SKOLEMAAAV3','SKOLEMAAAV5') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
cnf(8,negated_conjecture,
( in(ordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),cartesian_product2('SKOLEMAAAV5','SKOLEMAAAV6'))
| in('SKOLEMAAAV4','SKOLEMAAAV6') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
cnf(9,axiom,
( ~ in(ordered_pair(X,Y),cartesian_product2(Z,U))
| in(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
cnf(10,axiom,
( ~ in(ordered_pair(X,Y),cartesian_product2(Z,U))
| in(Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
cnf(11,axiom,
( in(ordered_pair(X,Y),cartesian_product2(Z,U))
| ~ in(X,Z)
| ~ in(Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
cnf(14,plain,
in('SKOLEMAAAV3','SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[9,7]) ).
cnf(15,plain,
( ~ in(ordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),cartesian_product2('SKOLEMAAAV5','SKOLEMAAAV6'))
| ~ in('SKOLEMAAAV4','SKOLEMAAAV6') ),
inference('REWRITE',[status(thm)],[6,14]) ).
cnf(16,plain,
in('SKOLEMAAAV4','SKOLEMAAAV6'),
inference('HYPERRESOLVE',[status(thm)],[10,8]) ).
cnf(17,plain,
~ in(ordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),cartesian_product2('SKOLEMAAAV5','SKOLEMAAAV6')),
inference('REWRITE',[status(thm)],[15,16]) ).
cnf(21,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,14,17]),16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU165+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 08:45:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-20T08:45:40
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-20T08:45:40
% 0.18/0.47
% 0.18/0.47 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.18/0.49 ; Declaring unordered_pair to be commutative.
% 0.18/0.49
% 0.18/0.49 #||
% 0.18/0.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49 % SZS output start Refutation
% See solution above
% 0.18/0.49 ||#
% 0.18/0.49
% 0.18/0.49 ; Summary of computation:
% 0.18/0.49 ; 29 formulas have been input or derived (from 13 formulas).
% 0.18/0.49 ; 21 (72%) were retained. Of these,
% 0.18/0.49 ; 4 (19%) were simplified or subsumed later,
% 0.18/0.49 ; 17 (81%) are still being kept.
% 0.18/0.49 ;
% 0.18/0.49 ; Run time in seconds excluding printing time:
% 0.18/0.49 ; 0.002 7% Read assertion file (1 call)
% 0.18/0.49 ; 0.001 3% Assert (12 calls)
% 0.18/0.49 ; 0.001 3% Process new row (24 calls)
% 0.18/0.49 ; 0.000 0% Resolution (24 calls)
% 0.18/0.49 ; 0.001 3% Paramodulation (12 calls)
% 0.18/0.49 ; 0.000 0% Factoring (2 calls)
% 0.18/0.49 ; 0.000 0% Condensing (8 calls)
% 0.18/0.49 ; 0.000 0% Forward subsumption (8 calls)
% 0.18/0.49 ; 0.001 3% Backward subsumption (8 calls)
% 0.18/0.49 ; 0.001 3% Clause clause subsumption (5 calls)
% 0.18/0.49 ; 0.001 3% Forward simplification (24 calls)
% 0.18/0.49 ; 0.000 0% Backward simplification (21 calls)
% 0.18/0.49 ; 0.000 0% Ordering (11 calls)
% 0.18/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.49 ; 0.000 0% Purity testing (1 call)
% 0.18/0.49 ; 0.021 72% Other
% 0.18/0.49 ; 0.029 Total
% 0.18/0.49 ; 0.031 Real time
% 0.18/0.49 ;
% 0.18/0.49 ; Term-hash-array has 34 terms in all.
% 0.18/0.49 ; Feature-vector-row-index has 4 entries (7 at peak, 8 added, 4 deleted).
% 0.18/0.49 ; Feature-vector-row-index has 9 nodes (51 at peak, 65 added, 56 deleted).
% 0.18/0.49 ; Retrieved 4 possibly forward subsuming rows in 8 calls.
% 0.18/0.49 ; Retrieved 1 possibly backward subsumed row in 8 calls.
% 0.18/0.49 ; Path-index has 40 entries (40 at peak, 43 added, 3 deleted).
% 0.18/0.49 ; Path-index has 151 nodes (151 at peak, 159 added, 8 deleted).
% 0.18/0.49 ; Trie-index has 40 entries (40 at peak, 43 added, 3 deleted).
% 0.18/0.49 ; Trie-index has 143 nodes (143 at peak, 152 added, 9 deleted).
% 0.18/0.49 ; Retrieved 2 generalization terms in 16 calls.
% 0.18/0.49 ; Retrieved 12 instance terms in 12 calls.
% 0.18/0.49 ; Retrieved 193 unifiable terms in 85 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 6 entries:
% 0.18/0.49 ; 1 with value (4 5) 2 with value (4 15) 1 with value (4 20)
% 0.18/0.49 ; 1 with value (4 6) 1 with value (4 19)
% 0.18/0.49 Evaluation took:
% 0.18/0.49 0.031 seconds of real time
% 0.18/0.49 0.028056 seconds of user run time
% 0.18/0.49 0.003638 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 2,312,760 bytes consed.
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T08:45:40
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 *
%------------------------------------------------------------------------------