TSTP Solution File: NUM480+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM480+2 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 14:10:56 EDT 2022
% Result : Theorem 0.74s 0.92s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 9 ( 8 unt; 0 nHn; 9 RR)
% Number of literals : 12 ( 5 equ; 4 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(11,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ aNaturalNumber0(Z)
| sdtasdt0(sdtasdt0(X,Y),Z) = sdtasdt0(X,sdtasdt0(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
cnf(52,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1524) ).
cnf(58,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1553) ).
cnf(59,hypothesis,
aNaturalNumber0(sdtsldt0(xm,xl)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1594) ).
cnf(62,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1594) ).
cnf(63,hypothesis,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1594) ).
cnf(64,plain,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xn,xm),
inference('REWRITE',[status(thm)],[63,62,theory(equality)]) ).
cnf(65,negated_conjecture,
sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(969,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,52,58,59]),65,64,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM480+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jul 7 21:55:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 *
% 0.19/0.49 *
% 0.19/0.49 #<PACKAGE "SNARK-USER">
% 0.19/0.49 *
% 0.19/0.49 SNARK-TPTP-OPTIONS
% 0.19/0.49 *
% 0.19/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.49 (USE-FACTORING :POS)
% 0.19/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.49 *
% 0.19/0.49 "."
% 0.19/0.49 *
% 0.19/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T21:55:29
% 0.19/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-07T21:55:29
% 0.19/0.52 WARNING:
% 0.19/0.52 |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.92
% 0.74/0.92
% 0.74/0.92 #||
% 0.74/0.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.74/0.92 % SZS output start Refutation
% See solution above
% 0.74/0.92 ||#
% 0.74/0.92
% 0.74/0.92 ; Summary of computation:
% 0.74/0.92 ; 3312 formulas have been input or derived (from 51 formulas).
% 0.74/0.92 ; 969 (29%) were retained. Of these,
% 0.74/0.92 ; 24 ( 2%) were simplified or subsumed later,
% 0.74/0.92 ; 945 (98%) are still being kept.
% 0.74/0.92 ;
% 0.74/0.92 ; Run time in seconds excluding printing time:
% 0.74/0.92 ; 0.012 3% Read assertion file (1 call)
% 0.74/0.92 ; 0.003 1% Assert (40 calls)
% 0.74/0.92 ; 0.065 15% Process new row (2,670 calls)
% 0.74/0.92 ; 0.252 59% Resolution (100 calls)
% 0.74/0.92 ; 0.000 0% Paramodulation (50 calls)
% 0.74/0.92 ; 0.002 0% Condensing (159 calls)
% 0.74/0.92 ; 0.005 1% Forward subsumption (159 calls)
% 0.74/0.92 ; 0.006 1% Backward subsumption (127 calls)
% 0.74/0.92 ; 0.000 0% Clause clause subsumption (124 calls)
% 0.74/0.92 ; 0.040 9% Forward simplification (2,669 calls)
% 0.74/0.92 ; 0.007 2% Backward simplification (968 calls)
% 0.74/0.92 ; 0.001 0% Ordering (821 calls)
% 0.74/0.92 ; 0.000 0% Sortal reasoning (32 calls)
% 0.74/0.92 ; 0.000 0% Purity testing (1 call)
% 0.74/0.92 ; 0.032 8% Other
% 0.74/0.92 ; 0.425 Total
% 0.74/0.92 ; 0.426 Real time
% 0.74/0.92 ;
% 0.74/0.92 ; Term-hash-array has 2,146 terms in all.
% 0.74/0.92 ; Feature-vector-row-index has 116 entries (116 at peak, 127 added, 11 deleted).
% 0.74/0.92 ; Feature-vector-row-index has 524 nodes (524 at peak, 582 added, 58 deleted).
% 0.74/0.92 ; Retrieved 122 possibly forward subsuming rows in 159 calls.
% 0.74/0.92 ; Retrieved 40 possibly backward subsumed rows in 127 calls.
% 0.74/0.92 ; Path-index has 2,126 entries (2,126 at peak, 2,158 added, 32 deleted).
% 0.74/0.92 ; Path-index has 695 nodes (695 at peak, 695 added, 0 deleted).
% 0.74/0.92 ; Trie-index has 2,126 entries (2,126 at peak, 2,158 added, 32 deleted).
% 0.74/0.92 ; Trie-index has 7,796 nodes (7,798 at peak, 7,886 added, 90 deleted).
% 0.74/0.92 ; Retrieved 2,959 generalization terms in 10,791 calls.
% 0.74/0.92 ; Retrieved 840 instance terms in 840 calls.
% 0.74/0.92 ; Retrieved 289,664 unifiable terms in 16,093 calls.
% 0.74/0.92 ;
% 0.74/0.92 ; The agenda of rows to process has 553 entries:
% 0.74/0.92 ; 179 with value 20 1 with value 28 6 with value 37
% 0.74/0.92 ; 36 with value 24 72 with value 29 1 with value 41
% 0.74/0.92 ; 216 with value 25 42 with value 33
% 0.74/0.92 ; The agenda of input rows to give has 15 entries:
% 0.74/0.92 ; 4 with value 24 1 with value 27 2 with value 30
% 0.74/0.92 ; 2 with value 25 1 with value 28 1 with value 31
% 0.74/0.92 ; 4 with value 26
% 0.74/0.92 ; The agenda of rows to give has 879 entries:
% 0.74/0.92 ; 8 with value (4 5) 197 with value (4 15) 76 with value (4 25)
% 0.74/0.92 ; 40 with value (4 7) 3 with value (4 16) 5 with value (4 27)
% 0.74/0.92 ; 71 with value (4 8) 7 with value (4 17) 2 with value (4 28)
% 0.74/0.92 ; 19 with value (4 9) 39 with value (4 18) 30 with value (4 29)
% 0.74/0.92 ; 30 with value (4 10) 93 with value (4 20) 2 with value (4 31)
% 0.74/0.92 ; 36 with value (4 11) 7 with value (4 21) 1 with value (4 32)
% 0.74/0.92 ; 16 with value (4 12) 7 with value (4 22) 18 with value (4 33)
% 0.74/0.92 ; 119 with value (4 13) 20 with value (4 23) 3 with value (4 37)
% 0.74/0.92 ; 9 with value (4 14) 20 with value (4 24) 1 with value (4 41)
% 0.74/0.92 Evaluation took:
% 0.74/0.92 0.427 seconds of real time
% 0.74/0.92 0.404649 seconds of user run time
% 0.74/0.92 0.021967 seconds of system run time
% 0.74/0.92 [Run times include 0.01 seconds GC run time.]
% 0.74/0.92 0 calls to %EVAL
% 0.74/0.92 0 page faults and
% 0.74/0.92 23,472,440 bytes consed.
% 0.74/0.92 :PROOF-FOUND
% 0.74/0.92 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T21:55:30
% 0.74/0.92 :PROOF-FOUND
% 0.74/0.92 *
%------------------------------------------------------------------------------