TSTP Solution File: LCL469+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL469+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 14:23:11 EDT 2022
% Result : Theorem 0.42s 0.59s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 8 RR)
% Number of literals : 18 ( 4 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(23,axiom,
( or_1
| ~ is_a_theorem(implies('SKOLEMAAAV20',or('SKOLEMAAAV20','SKOLEMAAAV21'))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',or_1) ).
cnf(42,axiom,
( ~ cn2
| is_a_theorem(implies(X,implies(not(X),Y))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',cn2) ).
cnf(56,axiom,
( ~ op_or
| or(X,Y) = not(and(not(X),not(Y))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax',op_or) ).
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(59,axiom,
op_or,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+3.ax',luka_op_or) ).
cnf(63,axiom,
cn2,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+3.ax',luka_cn2) ).
cnf(66,axiom,
op_implies_and,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
cnf(67,negated_conjecture,
~ or_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_1) ).
cnf(68,plain,
~ is_a_theorem(implies('SKOLEMAAAV20',or('SKOLEMAAAV20','SKOLEMAAAV21'))),
inference('REWRITE',[status(thm)],[23,67]) ).
cnf(69,plain,
implies(X,Y) = not(and(X,not(Y))),
inference('REWRITE',[status(thm)],[57,66]) ).
cnf(79,plain,
~ is_a_theorem(not(and('SKOLEMAAAV20',not(or('SKOLEMAAAV20','SKOLEMAAAV21'))))),
inference('REWRITE',[status(thm)],[68,69,theory(equality)]) ).
cnf(113,plain,
is_a_theorem(not(and(X,not(not(and(not(X),not(Y))))))),
inference('REWRITE',[status(thm)],[42,69,63,theory(equality)]) ).
cnf(125,plain,
or(X,Y) = not(and(not(X),not(Y))),
inference('REWRITE',[status(thm)],[56,59]) ).
cnf(132,plain,
$false,
inference('REWRITE',[status(thm)],[79,113,125,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : LCL469+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jul 4 02:03:01 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.23/0.50 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.51 *
% 0.23/0.51 *
% 0.23/0.52 #<PACKAGE "SNARK-USER">
% 0.23/0.52 *
% 0.23/0.52 SNARK-TPTP-OPTIONS
% 0.23/0.52 *
% 0.23/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.52 (USE-FACTORING :POS)
% 0.23/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.52 *
% 0.23/0.52 "."
% 0.23/0.52 *
% 0.23/0.52 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T02:03:01
% 0.23/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-04T02:03:01
% 0.23/0.54 WARNING:
% 0.23/0.54 #:|op_implies_or| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.23/0.54 WARNING:
% 0.23/0.54 #:|op_and| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.23/0.54 WARNING:
% 0.23/0.54 #:|op_implies| is a proposition that occurs only positively; disabling rows that contain it.
% 0.42/0.59
% 0.42/0.59
% 0.42/0.59 #||
% 0.42/0.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.59 % SZS output start Refutation
% See solution above
% 0.44/0.59 ||#
% 0.44/0.59
% 0.44/0.59 ; Summary of computation:
% 0.44/0.59 ; 145 formulas have been input or derived (from 1 formulas).
% 0.44/0.59 ; 132 (91%) were retained. Of these,
% 0.44/0.59 ; 83 (63%) were simplified or subsumed later,
% 0.44/0.59 ; 49 (37%) are still being kept.
% 0.44/0.59 ;
% 0.44/0.59 ; Run time in seconds excluding printing time:
% 0.44/0.59 ; 0.008 11% Read assertion file (1 call)
% 0.44/0.59 ; 0.003 4% Assert (43 calls)
% 0.44/0.59 ; 0.022 30% Process new row (138 calls)
% 0.44/0.59 ; 0.001 1% Condensing (113 calls)
% 0.44/0.59 ; 0.003 4% Forward subsumption (113 calls)
% 0.44/0.59 ; 0.003 4% Backward subsumption (113 calls)
% 0.44/0.59 ; 0.001 1% Forward simplification (135 calls)
% 0.44/0.59 ; 0.008 11% Backward simplification (132 calls)
% 0.44/0.59 ; 0.000 0% Ordering (3 calls)
% 0.44/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.44/0.59 ; 0.001 1% Purity testing (1 call)
% 0.44/0.59 ; 0.023 32% Other
% 0.44/0.59 ; 0.073 Total
% 0.44/0.59 ; 0.074 Real time
% 0.44/0.59 ;
% 0.44/0.59 ; Term-hash-array has 540 terms in all.
% 0.44/0.59 ; Feature-vector-row-index has 32 entries (58 at peak, 113 added, 81 deleted).
% 0.44/0.59 ; Feature-vector-row-index has 294 nodes (400 at peak, 898 added, 604 deleted).
% 0.44/0.59 ; Retrieved 39 possibly forward subsuming rows in 113 calls.
% 0.44/0.59 ; Retrieved 17 possibly backward subsumed rows in 113 calls.
% 0.44/0.59 ; Path-index has 305 entries (383 at peak, 784 added, 479 deleted).
% 0.44/0.59 ; Path-index has 1,105 nodes (1,311 at peak, 2,072 added, 967 deleted).
% 0.44/0.59 ; Trie-index has 305 entries (383 at peak, 784 added, 479 deleted).
% 0.44/0.59 ; Trie-index has 1,280 nodes (1,578 at peak, 2,845 added, 1,565 deleted).
% 0.44/0.59 ; Retrieved 78 generalization terms in 129 calls.
% 0.44/0.59 ; Retrieved 86 instance terms in 18 calls.
% 0.44/0.59 ;
% 0.44/0.59 ; The agenda of backward simplifiable rows to process has 7 entries:
% 0.44/0.59 ; 7 with value 0
% 0.44/0.59 ; The agenda of input rows to give has 48 entries:
% 0.44/0.59 ; 10 with value 1 2 with value 19 2 with value 30
% 0.44/0.59 ; 7 with value 13 1 with value 20 1 with value 32
% 0.44/0.59 ; 3 with value 14 3 with value 21 1 with value 35
% 0.44/0.59 ; 1 with value 16 3 with value 24 1 with value 37
% 0.44/0.59 ; 1 with value 17 6 with value 28 3 with value 40
% 0.44/0.59 ; 3 with value 18
% 0.44/0.59 Evaluation took:
% 0.44/0.59 0.075 seconds of real time
% 0.44/0.59 0.070227 seconds of user run time
% 0.44/0.59 0.005031 seconds of system run time
% 0.44/0.59 0 calls to %EVAL
% 0.44/0.59 0 page faults and
% 0.44/0.59 5,228,576 bytes consed.
% 0.44/0.59 :PROOF-FOUND
% 0.44/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T02:03:01
% 0.44/0.59 :PROOF-FOUND
% 0.44/0.59 *
%------------------------------------------------------------------------------