TSTP Solution File: NUN073+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUN073+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 : Mon Jul 18 16:38:18 EDT 2022
% Result : Theorem 0.37s 0.62s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 9 RR)
% Number of literals : 14 ( 0 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 7 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(25,axiom,
( ~ id(X,Y)
| ~ r2(Z,X)
| ~ r2(U,Y)
| id(Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_3a) ).
cnf(37,axiom,
( ~ id(X,Y)
| ~ r1(X)
| ~ r2(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7a) ).
cnf(38,negated_conjecture,
r1('SKOLEMAAAV23'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneunidtwo) ).
cnf(39,negated_conjecture,
r2('SKOLEMAAAV23','SKOLEMAAAV22'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneunidtwo) ).
cnf(40,negated_conjecture,
id('SKOLEMAAAV22','SKOLEMAAAV21'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneunidtwo) ).
cnf(42,negated_conjecture,
r2('SKOLEMAAAV25','SKOLEMAAAV24'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneunidtwo) ).
cnf(43,negated_conjecture,
r2('SKOLEMAAAV24','SKOLEMAAAV21'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneunidtwo) ).
cnf(78,plain,
~ id('SKOLEMAAAV23','SKOLEMAAAV24'),
inference('UR-RESOLVE',[status(thm)],[37,38,42]) ).
cnf(405,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[25,40,39,43]),78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUN073+1 : TPTP v8.1.0. Released v7.3.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % 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 : Thu Jun 2 07:40:57 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.49 #<PACKAGE "SNARK-USER">
% 0.22/0.49 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-02T07:40:57
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-02T07:40:57
% 0.22/0.51
% 0.22/0.51 ; Recognized commutativity assertion (OR (NOT (|id| ?X ?Y)) (|id| ?Y ?X)).
% 0.22/0.52 ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAV12 ?X ?Y)).
% 0.37/0.62 ; Declaring id to be commutative.
% 0.37/0.62
% 0.37/0.62 #||
% 0.37/0.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.62 % SZS output start Refutation
% See solution above
% 0.37/0.62 ||#
% 0.37/0.62
% 0.37/0.62 ; Summary of computation:
% 0.37/0.62 ; 879 formulas have been input or derived (from 42 formulas).
% 0.37/0.62 ; 405 (46%) were retained. Of these,
% 0.37/0.62 ; 12 ( 3%) were simplified or subsumed later,
% 0.37/0.62 ; 393 (97%) are still being kept.
% 0.37/0.62 ;
% 0.37/0.62 ; Run time in seconds:
% 0.37/0.62 ; 0.008 7% Read assertion file (1 call)
% 0.37/0.62 ; 0.002 2% Assert (19 calls)
% 0.37/0.62 ; 0.029 24% Process new row (754 calls)
% 0.37/0.62 ; 0.020 16% Resolution (82 calls)
% 0.37/0.62 ; 0.000 0% Paramodulation (41 calls)
% 0.37/0.62 ; 0.000 0% Factoring (4 calls)
% 0.37/0.62 ; 0.004 3% Condensing (286 calls)
% 0.37/0.62 ; 0.007 6% Forward subsumption (286 calls)
% 0.37/0.62 ; 0.010 8% Backward subsumption (215 calls)
% 0.37/0.62 ; 0.004 3% Clause clause subsumption (443 calls)
% 0.37/0.62 ; 0.006 5% Forward simplification (754 calls)
% 0.37/0.62 ; 0.005 4% Backward simplification (405 calls)
% 0.37/0.62 ; 0.002 2% Ordering (486 calls)
% 0.37/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.62 ; 0.000 0% Purity testing (1 call)
% 0.37/0.62 ; 0.025 20% Other
% 0.37/0.62 ; 0.122 Total
% 0.37/0.62 ; 0.123 Real time
% 0.37/0.62 ;
% 0.37/0.62 ; Term-hash-array has 580 terms in all.
% 0.37/0.62 ; Feature-vector-row-index has 203 entries (203 at peak, 215 added, 12 deleted).
% 0.37/0.62 ; Feature-vector-row-index has 939 nodes (939 at peak, 1,001 added, 62 deleted).
% 0.37/0.62 ; Retrieved 563 possibly forward subsuming rows in 286 calls.
% 0.37/0.62 ; Retrieved 11 possibly backward subsumed rows in 215 calls.
% 0.37/0.62 ; Path-index has 575 entries (575 at peak, 586 added, 11 deleted).
% 0.37/0.62 ; Path-index has 1,517 nodes (1,517 at peak, 1,528 added, 11 deleted).
% 0.37/0.62 ; Trie-index has 575 entries (575 at peak, 586 added, 11 deleted).
% 0.37/0.62 ; Trie-index has 1,704 nodes (1,704 at peak, 1,724 added, 20 deleted).
% 0.37/0.62 ; Retrieved 744 generalization terms in 1,152 calls.
% 0.37/0.62 ; Retrieved 200 instance terms in 189 calls.
% 0.37/0.62 ; Retrieved 13,940 unifiable terms in 1,268 calls.
% 0.37/0.62 ;
% 0.37/0.62 ; The agenda of rows to process has 77 entries:
% 0.37/0.62 ; 9 with value 5 1 with value 19 2 with value 24
% 0.37/0.62 ; 1 with value 10 2 with value 20 2 with value 25
% 0.37/0.62 ; 6 with value 12 4 with value 21 8 with value 29
% 0.37/0.62 ; 7 with value 13 2 with value 22 8 with value 31
% 0.37/0.62 ; 1 with value 14 4 with value 23 4 with value 32
% 0.37/0.62 ; 16 with value 18
% 0.37/0.62 ; The agenda of input rows to give has 2 entries:
% 0.37/0.62 ; 2 with value 22
% 0.37/0.62 ; The agenda of rows to give has 349 entries:
% 0.37/0.62 ; 4 with value (4 4) 17 with value (4 15) 12 with value (4 26)
% 0.37/0.62 ; 12 with value (4 5) 10 with value (4 16) 8 with value (4 27)
% 0.37/0.62 ; 9 with value (4 6) 6 with value (4 17) 4 with value (4 28)
% 0.37/0.62 ; 38 with value (4 7) 11 with value (4 18) 1 with value (4 29)
% 0.37/0.62 ; 19 with value (4 8) 7 with value (4 19) 1 with value (4 30)
% 0.37/0.62 ; 23 with value (4 9) 8 with value (4 20) 11 with value (4 31)
% 0.37/0.62 ; 16 with value (4 10) 10 with value (4 21) 6 with value (4 32)
% 0.37/0.62 ; 11 with value (4 11) 10 with value (4 22) 2 with value (4 33)
% 0.37/0.62 ; 19 with value (4 12) 17 with value (4 23) 1 with value (4 34)
% 0.37/0.62 ; 29 with value (4 13) 10 with value (4 24) 2 with value (4 35)
% 0.37/0.62 ; 9 with value (4 14) 6 with value (4 25)
% 0.37/0.62 Evaluation took:
% 0.37/0.62 0.123 seconds of real time
% 0.37/0.62 0.110253 seconds of user run time
% 0.37/0.62 0.01322 seconds of system run time
% 0.37/0.62 0 calls to %EVAL
% 0.37/0.62 0 page faults and
% 0.37/0.62 7,112,192 bytes consed.
% 0.37/0.62 :PROOF-FOUND
% 0.37/0.62 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T07:40:57
% 0.37/0.62 :PROOF-FOUND
% 0.37/0.62 *
%------------------------------------------------------------------------------