TSTP Solution File: LCL536+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL536+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 : Sun Jul 17 14:23:31 EDT 2022
% Result : Theorem 0.43s 0.59s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 25 ( 18 unt; 0 nHn; 14 RR)
% Number of literals : 33 ( 6 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(57,axiom,
( ~ op_implies_and
| implies(X,Y) = not(and(X,not(Y))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax',op_implies_and) ).
cnf(60,axiom,
op_implies_and,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax',hilbert_op_implies_and) ).
cnf(77,axiom,
( ~ necessitation
| ~ is_a_theorem(X)
| is_a_theorem(necessarily(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax',necessitation) ).
cnf(99,axiom,
( ~ axiom_5
| is_a_theorem(implies(possibly(X),necessarily(possibly(X)))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax',axiom_5) ).
cnf(128,axiom,
( axiom_m10
| ~ is_a_theorem(strict_implies(possibly('SKOLEMAAAV94'),necessarily(possibly('SKOLEMAAAV94')))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax',axiom_m10) ).
cnf(129,axiom,
( ~ op_possibly
| possibly(X) = not(necessarily(not(X))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+1.ax',op_possibly) ).
cnf(130,axiom,
( ~ op_strict_implies
| strict_implies(X,Y) = necessarily(implies(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+1.ax',op_strict_implies) ).
cnf(132,axiom,
op_possibly,
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+2.ax',km5_op_possibly) ).
cnf(133,axiom,
necessitation,
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+2.ax',km5_necessitation) ).
cnf(136,axiom,
axiom_5,
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+2.ax',km5_axiom_5) ).
cnf(137,axiom,
op_strict_implies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_strict_implies) ).
cnf(139,negated_conjecture,
~ axiom_m10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_m10_axiom_m10) ).
cnf(140,plain,
~ is_a_theorem(strict_implies(possibly('SKOLEMAAAV94'),necessarily(possibly('SKOLEMAAAV94')))),
inference('REWRITE',[status(thm)],[128,139]) ).
cnf(142,plain,
strict_implies(X,Y) = necessarily(implies(X,Y)),
inference('REWRITE',[status(thm)],[130,137]) ).
cnf(153,plain,
~ is_a_theorem(necessarily(implies(possibly('SKOLEMAAAV94'),necessarily(possibly('SKOLEMAAAV94'))))),
inference('REWRITE',[status(thm)],[140,142,theory(equality)]) ).
cnf(173,plain,
is_a_theorem(implies(possibly(X),necessarily(possibly(X)))),
inference('REWRITE',[status(thm)],[99,136]) ).
cnf(176,plain,
( ~ is_a_theorem(X)
| is_a_theorem(necessarily(X)) ),
inference('REWRITE',[status(thm)],[77,133]) ).
cnf(177,plain,
possibly(X) = not(necessarily(not(X))),
inference('REWRITE',[status(thm)],[129,132]) ).
cnf(186,plain,
is_a_theorem(implies(not(necessarily(not(X))),necessarily(not(necessarily(not(X)))))),
inference('REWRITE',[status(thm)],[173,177,theory(equality)]) ).
cnf(193,plain,
~ is_a_theorem(necessarily(implies(not(necessarily(not('SKOLEMAAAV94'))),necessarily(not(necessarily(not('SKOLEMAAAV94'))))))),
inference('REWRITE',[status(thm)],[153,177,theory(equality)]) ).
cnf(213,plain,
implies(X,Y) = not(and(X,not(Y))),
inference('REWRITE',[status(thm)],[57,60]) ).
cnf(235,plain,
is_a_theorem(not(and(not(necessarily(not(X))),not(necessarily(not(necessarily(not(X)))))))),
inference('REWRITE',[status(thm)],[186,213,theory(equality)]) ).
cnf(238,plain,
~ is_a_theorem(necessarily(not(and(not(necessarily(not('SKOLEMAAAV94'))),not(necessarily(not(necessarily(not('SKOLEMAAAV94'))))))))),
inference('REWRITE',[status(thm)],[193,213,theory(equality)]) ).
cnf(340,plain,
is_a_theorem(necessarily(not(and(not(necessarily(not(X))),not(necessarily(not(necessarily(not(X))))))))),
inference('HYPERRESOLVE',[status(thm)],[176,235]) ).
cnf(341,plain,
$false,
inference('REWRITE',[status(thm)],[238,340]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LCL536+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n021.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 : Mon Jul 4 15:28:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T15:28:17
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-04T15:28:17
% 0.19/0.49 WARNING:
% 0.19/0.49 #:|op_necessarily| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.19/0.50 WARNING:
% 0.19/0.50 #:|op_implies_or| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.19/0.50 WARNING:
% 0.19/0.50 #:|op_and| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.19/0.50 WARNING:
% 0.19/0.50 #:|op_implies| is a proposition that occurs only positively; disabling rows that contain it.
% 0.43/0.59
% 0.43/0.59
% 0.43/0.59 #||
% 0.43/0.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.59 % SZS output start Refutation
% See solution above
% 0.43/0.59 ||#
% 0.43/0.59
% 0.43/0.59 ; Summary of computation:
% 0.43/0.59 ; 394 formulas have been input or derived (from 73 formulas).
% 0.43/0.59 ; 341 (87%) were retained. Of these,
% 0.43/0.59 ; 193 (57%) were simplified or subsumed later,
% 0.43/0.59 ; 148 (43%) are still being kept.
% 0.43/0.59 ;
% 0.43/0.59 ; Run time in seconds excluding printing time:
% 0.43/0.59 ; 0.016 12% Read assertion file (1 call)
% 0.43/0.59 ; 0.007 5% Assert (88 calls)
% 0.43/0.59 ; 0.042 33% Process new row (381 calls)
% 0.43/0.59 ; 0.003 2% Resolution (144 calls)
% 0.43/0.59 ; 0.003 2% Paramodulation (72 calls)
% 0.43/0.59 ; 0.000 0% Factoring (4 calls)
% 0.43/0.59 ; 0.001 1% Condensing (235 calls)
% 0.43/0.59 ; 0.006 5% Forward subsumption (235 calls)
% 0.43/0.59 ; 0.008 6% Backward subsumption (235 calls)
% 0.43/0.59 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.43/0.59 ; 0.004 3% Forward simplification (377 calls)
% 0.43/0.59 ; 0.018 14% Backward simplification (341 calls)
% 0.43/0.59 ; 0.000 0% Ordering (74 calls)
% 0.43/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.43/0.59 ; 0.001 1% Purity testing (1 call)
% 0.43/0.59 ; 0.019 15% Other
% 0.43/0.59 ; 0.128 Total
% 0.43/0.59 ; 0.131 Real time
% 0.43/0.59 ;
% 0.43/0.59 ; Term-hash-array has 1,223 terms in all.
% 0.43/0.59 ; Feature-vector-row-index has 73 entries (77 at peak, 235 added, 162 deleted).
% 0.43/0.59 ; Feature-vector-row-index has 658 nodes (658 at peak, 1,848 added, 1,190 deleted).
% 0.43/0.59 ; Retrieved 19 possibly forward subsuming rows in 235 calls.
% 0.43/0.59 ; Retrieved 12 possibly backward subsumed rows in 235 calls.
% 0.43/0.59 ; Path-index has 756 entries (766 at peak, 1,731 added, 975 deleted).
% 0.43/0.59 ; Path-index has 2,663 nodes (2,677 at peak, 4,457 added, 1,794 deleted).
% 0.43/0.59 ; Trie-index has 756 entries (766 at peak, 1,731 added, 975 deleted).
% 0.43/0.59 ; Trie-index has 2,983 nodes (3,017 at peak, 6,054 added, 3,071 deleted).
% 0.43/0.59 ; Retrieved 192 generalization terms in 668 calls.
% 0.43/0.59 ; Retrieved 305 instance terms in 105 calls.
% 0.43/0.59 ; Retrieved 2,610 unifiable terms in 506 calls.
% 0.43/0.59 ;
% 0.43/0.59 ; The agenda of rows to process has 3 entries:
% 0.43/0.59 ; 1 with value 29 1 with value 30 1 with value 32
% 0.43/0.59 ; The agenda of input rows to give has 33 entries:
% 0.43/0.59 ; 4 with value 21 3 with value 27 2 with value 35
% 0.43/0.59 ; 4 with value 23 4 with value 30 2 with value 36
% 0.43/0.59 ; 2 with value 24 3 with value 32 2 with value 37
% 0.43/0.59 ; 2 with value 25 2 with value 34 3 with value 39
% 0.43/0.59 ; The agenda of rows to give has 42 entries:
% 0.43/0.59 ; 3 with value (4 7) 1 with value (4 19) 1 with value (4 25)
% 0.43/0.59 ; 4 with value (4 12) 4 with value (4 20) 2 with value (4 26)
% 0.43/0.59 ; 3 with value (4 13) 4 with value (4 21) 1 with value (4 27)
% 0.43/0.59 ; 1 with value (4 14) 2 with value (4 22) 2 with value (4 28)
% 0.43/0.59 ; 5 with value (4 15) 3 with value (4 23) 2 with value (4 29)
% 0.43/0.59 ; 1 with value (4 16) 2 with value (4 24) 1 with value (4 31)
% 0.43/0.59 Evaluation took:
% 0.43/0.59 0.131 seconds of real time
% 0.43/0.59 0.117012 seconds of user run time
% 0.43/0.59 0.013717 seconds of system run time
% 0.43/0.59 0 calls to %EVAL
% 0.43/0.59 0 page faults and
% 0.43/0.59 10,586,784 bytes consed.
% 0.43/0.59 :PROOF-FOUND
% 0.43/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T15:28:17
% 0.43/0.59 :PROOF-FOUND
% 0.43/0.59 *
%------------------------------------------------------------------------------