TSTP Solution File: LCL542+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL542+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 14:23:34 EDT 2022
% Result : Theorem 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 14 unt; 0 nHn; 12 RR)
% Number of literals : 27 ( 4 equ; 11 neg)
% Maximal clause size : 3 ( 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 : 18 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(16,axiom,
( ~ and_1
| is_a_theorem(implies(and(X,Y),X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',and_1) ).
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(67,axiom,
and_1,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax',hilbert_and_1) ).
cnf(77,axiom,
( ~ necessitation
| ~ is_a_theorem(X)
| is_a_theorem(necessarily(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax',necessitation) ).
cnf(112,axiom,
( axiom_m2
| ~ is_a_theorem(strict_implies(and('SKOLEMAAAU79','SKOLEMAAAU80'),'SKOLEMAAAU79')) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax',axiom_m2) ).
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(133,axiom,
necessitation,
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+3.ax',km4b_necessitation) ).
cnf(138,axiom,
op_strict_implies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_strict_implies) ).
cnf(140,negated_conjecture,
~ axiom_m2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m2) ).
cnf(141,plain,
~ is_a_theorem(strict_implies(and('SKOLEMAAAU79','SKOLEMAAAU80'),'SKOLEMAAAU79')),
inference('REWRITE',[status(thm)],[112,140]) ).
cnf(143,plain,
strict_implies(X,Y) = necessarily(implies(X,Y)),
inference('REWRITE',[status(thm)],[130,138]) ).
cnf(170,plain,
~ is_a_theorem(necessarily(implies(and('SKOLEMAAAU79','SKOLEMAAAU80'),'SKOLEMAAAU79'))),
inference('REWRITE',[status(thm)],[141,143,theory(equality)]) ).
cnf(178,plain,
( ~ is_a_theorem(X)
| is_a_theorem(necessarily(X)) ),
inference('REWRITE',[status(thm)],[77,133]) ).
cnf(207,plain,
is_a_theorem(implies(and(X,Y),X)),
inference('REWRITE',[status(thm)],[16,67]) ).
cnf(216,plain,
implies(X,Y) = not(and(X,not(Y))),
inference('REWRITE',[status(thm)],[57,60]) ).
cnf(255,plain,
is_a_theorem(not(and(and(X,Y),not(X)))),
inference('REWRITE',[status(thm)],[207,216,theory(equality)]) ).
cnf(284,plain,
~ is_a_theorem(necessarily(not(and(and('SKOLEMAAAU79','SKOLEMAAAU80'),not('SKOLEMAAAU79'))))),
inference('REWRITE',[status(thm)],[170,216,theory(equality)]) ).
cnf(305,plain,
is_a_theorem(necessarily(not(and(and(X,Y),not(X))))),
inference('HYPERRESOLVE',[status(thm)],[178,255]) ).
cnf(306,plain,
$false,
inference('REWRITE',[status(thm)],[284,305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL542+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n017.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 : Sat Jul 2 16:02:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T16:02:56
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-02T16:02:56
% 0.19/0.50 WARNING:
% 0.19/0.50 #:|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.
% 0.19/0.58
% 0.19/0.58
% 0.19/0.58 #||
% 0.19/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.58 % SZS output start Refutation
% See solution above
% 0.19/0.58 ||#
% 0.19/0.58
% 0.19/0.58 ; Summary of computation:
% 0.19/0.58 ; 321 formulas have been input or derived (from 43 formulas).
% 0.19/0.58 ; 306 (95%) were retained. Of these,
% 0.19/0.58 ; 193 (63%) were simplified or subsumed later,
% 0.19/0.58 ; 113 (37%) are still being kept.
% 0.19/0.58 ;
% 0.19/0.58 ; Run time in seconds excluding printing time:
% 0.19/0.58 ; 0.016 14% Read assertion file (1 call)
% 0.19/0.58 ; 0.007 6% Assert (89 calls)
% 0.19/0.58 ; 0.036 31% Process new row (318 calls)
% 0.19/0.58 ; 0.001 1% Resolution (84 calls)
% 0.19/0.58 ; 0.000 0% Paramodulation (42 calls)
% 0.19/0.58 ; 0.000 0% Factoring (3 calls)
% 0.19/0.58 ; 0.005 4% Condensing (221 calls)
% 0.19/0.58 ; 0.005 4% Forward subsumption (221 calls)
% 0.19/0.58 ; 0.005 4% Backward subsumption (221 calls)
% 0.19/0.58 ; 0.006 5% Forward simplification (314 calls)
% 0.19/0.58 ; 0.018 15% Backward simplification (306 calls)
% 0.19/0.58 ; 0.000 0% Ordering (24 calls)
% 0.19/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.58 ; 0.000 0% Purity testing (1 call)
% 0.19/0.58 ; 0.018 15% Other
% 0.19/0.58 ; 0.117 Total
% 0.19/0.58 ; 0.118 Real time
% 0.19/0.58 ;
% 0.19/0.58 ; Term-hash-array has 1,070 terms in all.
% 0.19/0.58 ; Feature-vector-row-index has 59 entries (77 at peak, 221 added, 162 deleted).
% 0.19/0.58 ; Feature-vector-row-index has 539 nodes (545 at peak, 1,735 added, 1,196 deleted).
% 0.19/0.58 ; Retrieved 16 possibly forward subsuming rows in 221 calls.
% 0.19/0.58 ; Retrieved 14 possibly backward subsumed rows in 221 calls.
% 0.19/0.58 ; Path-index has 608 entries (616 at peak, 1,578 added, 970 deleted).
% 0.19/0.58 ; Path-index has 2,315 nodes (2,332 at peak, 4,107 added, 1,792 deleted).
% 0.19/0.58 ; Trie-index has 608 entries (616 at peak, 1,578 added, 970 deleted).
% 0.19/0.58 ; Trie-index has 2,520 nodes (2,541 at peak, 5,580 added, 3,060 deleted).
% 0.19/0.58 ; Retrieved 151 generalization terms in 517 calls.
% 0.19/0.58 ; Retrieved 267 instance terms in 84 calls.
% 0.19/0.58 ; Retrieved 259 unifiable terms in 151 calls.
% 0.19/0.58 ;
% 0.19/0.58 ; The agenda of input rows to give has 64 entries:
% 0.19/0.58 ; 3 with value 13 2 with value 20 4 with value 30
% 0.19/0.58 ; 3 with value 14 4 with value 21 3 with value 32
% 0.19/0.58 ; 2 with value 15 2 with value 22 2 with value 34
% 0.19/0.58 ; 3 with value 16 4 with value 23 2 with value 35
% 0.19/0.58 ; 1 with value 17 4 with value 24 2 with value 36
% 0.19/0.58 ; 10 with value 18 2 with value 25 2 with value 37
% 0.19/0.58 ; 3 with value 19 3 with value 27 3 with value 39
% 0.19/0.58 ; The agenda of rows to give has 6 entries:
% 0.19/0.58 ; 3 with value (4 7) 1 with value (4 14) 2 with value (4 15)
% 0.19/0.58 Evaluation took:
% 0.19/0.58 0.118 seconds of real time
% 0.19/0.58 0.099104 seconds of user run time
% 0.19/0.58 0.019138 seconds of system run time
% 0.19/0.58 0 calls to %EVAL
% 0.19/0.58 0 page faults and
% 0.19/0.58 9,085,256 bytes consed.
% 0.19/0.58 :PROOF-FOUND
% 0.19/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T16:02:56
% 0.19/0.58 :PROOF-FOUND
% 0.19/0.58 *
%------------------------------------------------------------------------------