TSTP Solution File: LCL538+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL538+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 14:23:32 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 ( 16 unt; 2 nHn; 18 RR)
% Number of literals : 38 ( 4 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ modus_ponens
| ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y))
| is_a_theorem(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',modus_ponens) ).
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(62,axiom,
modus_ponens,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax',hilbert_modus_ponens) ).
cnf(81,axiom,
( modus_ponens_strict_implies
| is_a_theorem('SKOLEMAAAU57') ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax',modus_ponens_strict_implies) ).
cnf(82,axiom,
( modus_ponens_strict_implies
| is_a_theorem(strict_implies('SKOLEMAAAU57','SKOLEMAAAU58')) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax',modus_ponens_strict_implies) ).
cnf(83,axiom,
( modus_ponens_strict_implies
| ~ is_a_theorem('SKOLEMAAAU58') ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax',modus_ponens_strict_implies) ).
cnf(93,axiom,
( ~ axiom_M
| is_a_theorem(implies(necessarily(X),X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax',axiom_M) ).
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(135,axiom,
axiom_M,
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+3.ax',km4b_axiom_M) ).
cnf(138,axiom,
op_strict_implies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_strict_implies) ).
cnf(140,negated_conjecture,
~ modus_ponens_strict_implies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_modus_ponens_strict_implies) ).
cnf(141,plain,
is_a_theorem('SKOLEMAAAU57'),
inference('REWRITE',[status(thm)],[81,140]) ).
cnf(142,plain,
is_a_theorem(strict_implies('SKOLEMAAAU57','SKOLEMAAAU58')),
inference('REWRITE',[status(thm)],[82,140]) ).
cnf(143,plain,
~ is_a_theorem('SKOLEMAAAU58'),
inference('REWRITE',[status(thm)],[83,140]) ).
cnf(145,plain,
strict_implies(X,Y) = necessarily(implies(X,Y)),
inference('REWRITE',[status(thm)],[130,138]) ).
cnf(170,plain,
is_a_theorem(necessarily(implies('SKOLEMAAAU57','SKOLEMAAAU58'))),
inference('REWRITE',[status(thm)],[142,145,theory(equality)]) ).
cnf(178,plain,
is_a_theorem(implies(necessarily(X),X)),
inference('REWRITE',[status(thm)],[93,135]) ).
cnf(216,plain,
( ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y))
| is_a_theorem(Y) ),
inference('REWRITE',[status(thm)],[1,62]) ).
cnf(218,plain,
implies(X,Y) = not(and(X,not(Y))),
inference('REWRITE',[status(thm)],[57,60]) ).
cnf(250,plain,
is_a_theorem(not(and(necessarily(X),not(X)))),
inference('REWRITE',[status(thm)],[178,218,theory(equality)]) ).
cnf(274,plain,
( ~ is_a_theorem(X)
| ~ is_a_theorem(not(and(X,not(Y))))
| is_a_theorem(Y) ),
inference('REWRITE',[status(thm)],[216,218,theory(equality)]) ).
cnf(282,plain,
is_a_theorem(necessarily(not(and('SKOLEMAAAU57',not('SKOLEMAAAU58'))))),
inference('REWRITE',[status(thm)],[170,218,theory(equality)]) ).
cnf(315,plain,
is_a_theorem(not(and('SKOLEMAAAU57',not('SKOLEMAAAU58')))),
inference('HYPERRESOLVE',[status(thm)],[274,282,250]) ).
cnf(316,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[274,141,143]),315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL538+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 4 21:09:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T21:09:58
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-04T21:09:58
% 0.20/0.50 WARNING:
% 0.20/0.50 #:|op_necessarily| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.20/0.50 WARNING:
% 0.20/0.50 #:|op_implies_or| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.20/0.50 WARNING:
% 0.20/0.50 #:|op_and| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.20/0.50 WARNING:
% 0.20/0.50 #:|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 ; 345 formulas have been input or derived (from 56 formulas).
% 0.43/0.59 ; 316 (92%) were retained. Of these,
% 0.43/0.59 ; 198 (63%) were simplified or subsumed later,
% 0.43/0.59 ; 118 (37%) are still being kept.
% 0.43/0.59 ;
% 0.43/0.59 ; Run time in seconds excluding printing time:
% 0.43/0.59 ; 0.015 12% Read assertion file (1 call)
% 0.43/0.59 ; 0.007 6% Assert (89 calls)
% 0.43/0.59 ; 0.032 26% Process new row (331 calls)
% 0.43/0.59 ; 0.002 2% Resolution (110 calls)
% 0.43/0.59 ; 0.000 0% Paramodulation (55 calls)
% 0.43/0.59 ; 0.000 0% Factoring (2 calls)
% 0.43/0.59 ; 0.003 2% Condensing (220 calls)
% 0.43/0.59 ; 0.011 9% Forward subsumption (220 calls)
% 0.43/0.59 ; 0.003 2% Backward subsumption (220 calls)
% 0.43/0.59 ; 0.008 6% Forward simplification (327 calls)
% 0.43/0.59 ; 0.018 14% Backward simplification (316 calls)
% 0.43/0.59 ; 0.002 2% Ordering (36 calls)
% 0.43/0.59 ; 0.001 1% Sortal reasoning (32 calls)
% 0.43/0.59 ; 0.001 1% Purity testing (1 call)
% 0.43/0.59 ; 0.022 18% Other
% 0.43/0.59 ; 0.125 Total
% 0.43/0.59 ; 0.127 Real time
% 0.43/0.59 ;
% 0.43/0.59 ; Term-hash-array has 1,079 terms in all.
% 0.43/0.59 ; Feature-vector-row-index has 52 entries (77 at peak, 220 added, 168 deleted).
% 0.43/0.59 ; Feature-vector-row-index has 498 nodes (542 at peak, 1,739 added, 1,241 deleted).
% 0.43/0.59 ; Retrieved 16 possibly forward subsuming rows in 220 calls.
% 0.43/0.59 ; Retrieved 14 possibly backward subsumed rows in 220 calls.
% 0.43/0.59 ; Path-index has 608 entries (615 at peak, 1,592 added, 984 deleted).
% 0.43/0.59 ; Path-index has 2,326 nodes (2,332 at peak, 4,132 added, 1,806 deleted).
% 0.43/0.59 ; Trie-index has 608 entries (615 at peak, 1,592 added, 984 deleted).
% 0.43/0.59 ; Trie-index has 2,517 nodes (2,540 at peak, 5,604 added, 3,087 deleted).
% 0.43/0.59 ; Retrieved 153 generalization terms in 530 calls.
% 0.43/0.59 ; Retrieved 281 instance terms in 95 calls.
% 0.43/0.59 ; Retrieved 1,287 unifiable terms in 295 calls.
% 0.43/0.59 ;
% 0.43/0.59 ; The agenda of rows to process has 7 entries:
% 0.43/0.59 ; 1 with value 11 1 with value 18 1 with value 22
% 0.43/0.59 ; 1 with value 15 3 with value 19
% 0.43/0.59 ; The agenda of input rows to give has 50 entries:
% 0.43/0.59 ; 1 with value 17 4 with value 23 2 with value 34
% 0.43/0.59 ; 8 with value 18 4 with value 24 2 with value 35
% 0.43/0.59 ; 2 with value 19 2 with value 25 2 with value 36
% 0.43/0.59 ; 2 with value 20 3 with value 27 2 with value 37
% 0.43/0.59 ; 4 with value 21 4 with value 30 3 with value 39
% 0.43/0.59 ; 2 with value 22 3 with value 32
% 0.43/0.59 ; The agenda of rows to give has 12 entries:
% 0.43/0.59 ; 2 with value (4 6) 1 with value (4 11) 3 with value (4 15)
% 0.43/0.59 ; 4 with value (4 7) 1 with value (4 14) 1 with value (4 18)
% 0.43/0.59 Evaluation took:
% 0.43/0.59 0.127 seconds of real time
% 0.43/0.59 0.117826 seconds of user run time
% 0.43/0.59 0.008975 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 9,683,048 bytes consed.
% 0.43/0.59 :PROOF-FOUND
% 0.43/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T21:09:58
% 0.43/0.59 :PROOF-FOUND
% 0.43/0.59 *
%------------------------------------------------------------------------------