TSTP Solution File: LCL459+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL459+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 14:23:07 EDT 2022
% Result : Theorem 0.41s 0.58s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 13 unt; 0 nHn; 12 RR)
% Number of literals : 31 ( 2 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 22 ( 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(12,axiom,
( ~ implies_2
| is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',implies_2) ).
cnf(20,axiom,
( ~ and_3
| is_a_theorem(implies(X,implies(Y,and(X,Y)))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',and_3) ).
cnf(35,axiom,
( kn1
| ~ is_a_theorem(implies('SKOLEMAAAV33',and('SKOLEMAAAV33','SKOLEMAAAV33'))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',kn1) ).
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(65,axiom,
implies_2,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax',hilbert_implies_2) ).
cnf(69,axiom,
and_3,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax',hilbert_and_3) ).
cnf(77,negated_conjecture,
~ kn1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_kn1) ).
cnf(78,plain,
~ is_a_theorem(implies('SKOLEMAAAV33',and('SKOLEMAAAV33','SKOLEMAAAV33'))),
inference('REWRITE',[status(thm)],[35,77]) ).
cnf(87,plain,
is_a_theorem(implies(X,implies(Y,and(X,Y)))),
inference('REWRITE',[status(thm)],[20,69]) ).
cnf(93,plain,
is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))),
inference('REWRITE',[status(thm)],[12,65]) ).
cnf(96,plain,
( ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y))
| is_a_theorem(Y) ),
inference('REWRITE',[status(thm)],[1,62]) ).
cnf(98,plain,
implies(X,Y) = not(and(X,not(Y))),
inference('REWRITE',[status(thm)],[57,60]) ).
cnf(99,plain,
is_a_theorem(not(and(X,not(not(and(Y,not(and(X,Y)))))))),
inference('REWRITE',[status(thm)],[87,98,theory(equality)]) ).
cnf(100,plain,
~ is_a_theorem(not(and('SKOLEMAAAV33',not(and('SKOLEMAAAV33','SKOLEMAAAV33'))))),
inference('REWRITE',[status(thm)],[78,98,theory(equality)]) ).
cnf(121,plain,
is_a_theorem(not(and(not(and(X,not(not(and(X,not(Y)))))),not(not(and(X,not(Y))))))),
inference('REWRITE',[status(thm)],[93,98,theory(equality)]) ).
cnf(122,plain,
( ~ is_a_theorem(X)
| ~ is_a_theorem(not(and(X,not(Y))))
| is_a_theorem(Y) ),
inference('REWRITE',[status(thm)],[96,98,theory(equality)]) ).
cnf(175,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[122,121,99,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LCL459+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jul 2 16:49:55 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T16:49:55
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-02T16:49:55
% 0.22/0.52 WARNING:
% 0.22/0.52 #:|op_implies_or| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.22/0.52 WARNING:
% 0.22/0.52 #:|op_and| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.41/0.58
% 0.41/0.58
% 0.41/0.58 #||
% 0.41/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.58 % SZS output start Refutation
% See solution above
% 0.41/0.58 ||#
% 0.41/0.58
% 0.41/0.58 ; Summary of computation:
% 0.41/0.58 ; 231 formulas have been input or derived (from 43 formulas).
% 0.41/0.58 ; 175 (76%) were retained. Of these,
% 0.41/0.58 ; 91 (52%) were simplified or subsumed later,
% 0.41/0.58 ; 84 (48%) are still being kept.
% 0.41/0.58 ;
% 0.41/0.58 ; Run time in seconds excluding printing time:
% 0.41/0.58 ; 0.009 11% Read assertion file (1 call)
% 0.41/0.58 ; 0.004 5% Assert (53 calls)
% 0.41/0.58 ; 0.019 24% Process new row (211 calls)
% 0.41/0.58 ; 0.001 1% Resolution (84 calls)
% 0.41/0.58 ; 0.004 5% Paramodulation (42 calls)
% 0.41/0.58 ; 0.001 1% Condensing (84 calls)
% 0.41/0.58 ; 0.001 1% Forward subsumption (84 calls)
% 0.41/0.58 ; 0.000 0% Backward subsumption (84 calls)
% 0.41/0.58 ; 0.008 10% Forward simplification (209 calls)
% 0.41/0.58 ; 0.005 6% Backward simplification (175 calls)
% 0.41/0.58 ; 0.000 0% Ordering (17 calls)
% 0.41/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.41/0.58 ; 0.001 1% Purity testing (1 call)
% 0.41/0.58 ; 0.027 34% Other
% 0.41/0.58 ; 0.080 Total
% 0.41/0.58 ; 0.083 Real time
% 0.41/0.58 ;
% 0.41/0.58 ; Term-hash-array has 594 terms in all.
% 0.41/0.58 ; Feature-vector-row-index has 14 entries (58 at peak, 84 added, 70 deleted).
% 0.41/0.58 ; Feature-vector-row-index has 150 nodes (391 at peak, 649 added, 499 deleted).
% 0.41/0.58 ; Retrieved 11 possibly forward subsuming rows in 84 calls.
% 0.41/0.58 ; Retrieved 10 possibly backward subsumed rows in 84 calls.
% 0.41/0.58 ; Path-index has 388 entries (388 at peak, 805 added, 417 deleted).
% 0.41/0.58 ; Path-index has 1,260 nodes (1,260 at peak, 2,033 added, 773 deleted).
% 0.41/0.58 ; Trie-index has 388 entries (388 at peak, 805 added, 417 deleted).
% 0.41/0.58 ; Trie-index has 1,649 nodes (1,649 at peak, 2,873 added, 1,224 deleted).
% 0.41/0.58 ; Retrieved 165 generalization terms in 403 calls.
% 0.41/0.58 ; Retrieved 187 instance terms in 90 calls.
% 0.41/0.58 ; Retrieved 981 unifiable terms in 283 calls.
% 0.41/0.58 ;
% 0.41/0.58 ; The agenda of rows to process has 8 entries:
% 0.41/0.58 ; 1 with value 11 1 with value 26 1 with value 38
% 0.41/0.58 ; 1 with value 14 1 with value 35 1 with value 40
% 0.41/0.58 ; 1 with value 21 1 with value 36
% 0.41/0.58 ; The agenda of input rows to give has 8 entries:
% 0.41/0.58 ; 2 with value 30 2 with value 35 1 with value 39
% 0.41/0.58 ; 1 with value 32 2 with value 37
% 0.41/0.58 ; The agenda of rows to give has 33 entries:
% 0.41/0.58 ; 1 with value (4 4) 1 with value (4 22) 1 with value (4 30)
% 0.41/0.58 ; 1 with value (4 7) 2 with value (4 23) 3 with value (4 31)
% 0.41/0.58 ; 1 with value (4 16) 1 with value (4 25) 1 with value (4 32)
% 0.41/0.58 ; 3 with value (4 17) 2 with value (4 26) 1 with value (4 33)
% 0.41/0.58 ; 1 with value (4 18) 3 with value (4 27) 1 with value (4 34)
% 0.41/0.58 ; 3 with value (4 20) 2 with value (4 28) 1 with value (4 36)
% 0.41/0.58 ; 2 with value (4 21) 2 with value (4 29)
% 0.41/0.58 Evaluation took:
% 0.41/0.58 0.083 seconds of real time
% 0.41/0.58 0.071922 seconds of user run time
% 0.41/0.58 0.011924 seconds of system run time
% 0.41/0.58 0 calls to %EVAL
% 0.41/0.58 0 page faults and
% 0.41/0.58 5,957,632 bytes consed.
% 0.41/0.58 :PROOF-FOUND
% 0.41/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T16:49:55
% 0.41/0.59 :PROOF-FOUND
% 0.41/0.59 *
%------------------------------------------------------------------------------