TSTP Solution File: LCL897-10 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL897-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 14:26:55 EDT 2022
% Result : Unsatisfiable 13.26s 13.42s
% Output : Refutation 13.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 6 RR)
% Number of literals : 16 ( 15 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos_03,axiom,
'+'(X,'0') = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
cnf(sos_07,axiom,
' = =>'('+'(X,Y),Z) = ' = =>'(X,' = =>'(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
cnf(sos_08,axiom,
'+'(X,' = =>'(X,Y)) = '+'(Y,' = =>'(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
cnf(7,plain,
'+'(X,'+'(' = =>'(X,Y),Z)) = '+'(Y,'+'(' = =>'(Y,X),Z)),
inference('EMBED',[status(thm)],[sos_08]) ).
cnf(goals_09,negated_conjecture,
'+'(a,'+'(' = =>'(a,b),' = =>'('+'(a,' = =>'(a,b)),c))) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_09) ).
cnf(9,plain,
'+'(a,'+'(' = =>'(a,b),' = =>'(a,' = =>'(' = =>'(a,b),c)))) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference('REWRITE',[status(thm)],[goals_09,sos_07,theory(equality)]) ).
cnf(10,plain,
' = =>'(X,' = =>'(Y,Z)) = ' = =>'(Y,' = =>'(X,Z)),
inference('PARAMODULATE',[status(thm)],[sos_07,sos_07,theory(equality)]) ).
cnf(11,plain,
'+'(a,'+'(' = =>'(a,b),' = =>'(' = =>'(a,b),' = =>'(a,c)))) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference('REWRITE',[status(thm)],[9,10,theory(equality)]) ).
cnf(17,plain,
' = =>'('+'(X,' = =>'(X,Y)),Z) = ' = =>'(' = =>'(Y,X),' = =>'(Y,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[sos_07,sos_08,theory(equality)]),10,theory(equality)]) ).
cnf(18,plain,
'+'(X,'+'(Y,' = =>'(X,' = =>'(Y,Z)))) = '+'(Z,' = =>'(Z,'+'(X,Y))),
inference('PARAMODULATE',[status(thm)],[sos_08,sos_07,theory(equality)]) ).
cnf(20,plain,
'+'(c,' = =>'(c,'+'(' = =>'(a,b),a))) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference('REWRITE',[status(thm)],[11,18,theory(equality)]) ).
cnf(24,plain,
'+'(X,'+'(' = =>'(Y,Z),Y)) = '+'(Z,'+'(X,' = =>'(Z,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[sos_03,7,theory(equality)]),sos_03,theory(equality)]) ).
cnf(32,plain,
'+'(X,'+'(Y,' = =>'(X,' = =>'(Y,Z)))) = '+'(Z,'+'(' = =>'(Z,Y),' = =>'(' = =>'(Y,Z),X))),
inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).
cnf(60,plain,
'+'(c,' = =>'(c,'+'(' = =>'(a,b),a))) != '+'(a,'+'(' = =>'(' = =>'(c,a),' = =>'(c,b)),' = =>'(a,c))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[20,sos_08,theory(equality)]),24,32,17,theory(equality)]) ).
cnf(702,plain,
' = =>'(' = =>'(X,Y),' = =>'(X,Z)) = ' = =>'(' = =>'(Y,X),' = =>'(Y,Z)),
inference('PARAMODULATE',[status(thm)],[sos_07,17,theory(equality)]) ).
cnf(703,plain,
$false,
inference('REWRITE',[status(thm)],[60,18,24,702,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL897-10 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n005.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 15:25:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T15:25:37
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-04T15:25:37
% 0.20/0.49
% 0.20/0.49 ; Recognized associativity assertion (= (+ (+ ?X ?Y) ?Z) (+ ?X (+ ?Y ?Z))).
% 0.20/0.49 ; Recognized commutativity assertion (= (+ ?X ?Y) (+ ?Y ?X)).
% 0.20/0.49 ; Recognized right identity assertion (= (+ ?X |0|) ?X).
% 0.20/0.49 ; Recognized left identity assertion (= (| = =>| |0| ?X) ?X).
% 0.20/0.49 ; Declaring + to be commutative.
% 13.26/13.42 ; Declaring + to be associative-commutative.
% 13.26/13.42
% 13.26/13.42 #||
% 13.26/13.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.26/13.42 % SZS output start Refutation
% See solution above
% 13.26/13.43 ||#
% 13.26/13.43
% 13.26/13.43 ; Summary of computation:
% 13.26/13.43 ; 3608 formulas have been input or derived (from 23 formulas).
% 13.26/13.43 ; 703 (19%) were retained. Of these,
% 13.26/13.43 ; 10 ( 1%) were simplified or subsumed later,
% 13.26/13.43 ; 693 (99%) are still being kept.
% 13.26/13.43 ;
% 13.26/13.43 ; Run time in seconds excluding printing time:
% 13.26/13.43 ; 0.002 0% Read assertion file (1 call)
% 13.26/13.43 ; 0.000 0% Assert (9 calls)
% 13.26/13.43 ; 0.086 1% Process new row (3,388 calls)
% 13.26/13.43 ; 0.002 0% Resolution (44 calls)
% 13.26/13.43 ; 0.054 0% Paramodulation (22 calls)
% 13.26/13.43 ; 0.000 0% Embedding (44 calls)
% 13.26/13.43 ; 1.827 14% Forward simplification (3,365 calls)
% 13.26/13.43 ; 0.294 2% Backward simplification (679 calls)
% 13.26/13.43 ; 6.292 49% Ordering (714,259 calls)
% 13.26/13.43 ; 4.349 34% Ordering ac (337,020 calls)
% 13.26/13.43 ; 0.000 0% Sortal reasoning (32 calls)
% 13.26/13.43 ; 0.000 0% Purity testing (1 call)
% 13.26/13.43 ; 0.034 0% Other
% 13.26/13.43 ; 12.940 Total
% 13.26/13.43 ; 12.950 Real time
% 13.26/13.43 ;
% 13.26/13.43 ; Term-hash-array has 2,481 terms in all.
% 13.26/13.43 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 13.26/13.43 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 13.26/13.43 ; Path-index has 2,454 entries (2,464 at peak, 2,502 added, 48 deleted).
% 13.26/13.43 ; Path-index has 514 nodes (538 at peak, 615 added, 101 deleted).
% 13.26/13.43 ; Trie-index has 2,454 entries (2,464 at peak, 2,502 added, 48 deleted).
% 13.26/13.43 ; Trie-index has 1,346 nodes (1,360 at peak, 1,421 added, 75 deleted).
% 13.26/13.43 ; Retrieved 476,231 generalization terms in 17,632 calls.
% 13.26/13.43 ; Retrieved 49,993 instance terms in 1,509 calls.
% 13.26/13.43 ; Retrieved 7,311 unifiable terms in 156 calls.
% 13.26/13.43 ;
% 13.26/13.43 ; The agenda of backward simplifiable rows to process has 1 entry:
% 13.26/13.43 ; 1 with value 0
% 13.26/13.43 ; The agenda of rows to process has 186 entries:
% 13.26/13.43 ; 2 with value 20 12 with value 26 11 with value 32
% 13.26/13.43 ; 10 with value 21 2 with value 27 6 with value 33
% 13.26/13.43 ; 4 with value 22 20 with value 28 21 with value 34
% 13.26/13.43 ; 4 with value 23 10 with value 29 21 with value 35
% 13.26/13.43 ; 6 with value 24 20 with value 30 3 with value 36
% 13.26/13.43 ; 25 with value 25 5 with value 31 4 with value 41
% 13.26/13.43 ; The agenda of rows to give has 670 entries:
% 13.26/13.43 ; 2 with value (4 20) 114 with value (4 30) 6 with value (4 40)
% 13.26/13.43 ; 12 with value (4 21) 26 with value (4 31) 10 with value (4 41)
% 13.26/13.43 ; 14 with value (4 22) 19 with value (4 32) 12 with value (4 42)
% 13.26/13.43 ; 11 with value (4 23) 23 with value (4 33) 3 with value (4 43)
% 13.26/13.43 ; 28 with value (4 24) 78 with value (4 34) 3 with value (4 44)
% 13.26/13.43 ; 38 with value (4 25) 25 with value (4 35) 2 with value (4 46)
% 13.26/13.43 ; 55 with value (4 26) 17 with value (4 36) 1 with value (4 47)
% 13.26/13.43 ; 19 with value (4 27) 18 with value (4 37) 1 with value (4 48)
% 13.26/13.43 ; 36 with value (4 28) 31 with value (4 38) 1 with value (4 49)
% 13.26/13.43 ; 58 with value (4 29) 7 with value (4 39)
% 13.26/13.43 Evaluation took:
% 13.26/13.43 12.95 seconds of real time
% 13.26/13.43 11.812232 seconds of user run time
% 13.26/13.43 1.132938 seconds of system run time
% 13.26/13.43 [Run times include 0.314 seconds GC run time.]
% 13.26/13.43 0 calls to %EVAL
% 13.26/13.43 0 page faults and
% 13.26/13.43 1,196,870,600 bytes consed.
% 13.26/13.43 :PROOF-FOUND
% 13.26/13.43 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T15:25:50
% 13.26/13.43 :PROOF-FOUND
% 13.26/13.43 *
%------------------------------------------------------------------------------