TSTP Solution File: NUM457+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM457+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 14:10:42 EDT 2022
% Result : Theorem 0.38s 0.57s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of clauses : 12 ( 9 unt; 1 nHn; 12 RR)
% Number of literals : 20 ( 10 equ; 9 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
cnf(10,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
cnf(14,axiom,
( ~ aNaturalNumber0(X)
| sdtasdt0(X,sz00) = sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
cnf(20,axiom,
( ~ aNaturalNumber0(X)
| X = sz00
| ~ aNaturalNumber0(Y)
| ~ aNaturalNumber0(Z)
| sdtasdt0(X,Y) != sdtasdt0(X,Z)
| Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
cnf(24,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__624) ).
cnf(25,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__624) ).
cnf(26,negated_conjecture,
sdtasdt0(xm,xn) = sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(27,negated_conjecture,
xm != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(28,negated_conjecture,
xn != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(43,plain,
sdtasdt0(xn,sz00) = sz00,
inference('HYPERRESOLVE',[status(thm)],[14,25]) ).
cnf(63,plain,
sdtasdt0(xn,xm) = sz00,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,25,24]),26,theory(equality)]) ).
cnf(251,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[20,25,28,24,1,27]),43,63,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM457+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n028.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 : Wed Jul 6 05:35:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T05:35:22
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-06T05:35:22
% 0.38/0.57
% 0.38/0.57
% 0.38/0.57 #||
% 0.38/0.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.57 % SZS output start Refutation
% See solution above
% 0.38/0.57 ||#
% 0.38/0.57
% 0.38/0.57 ; Summary of computation:
% 0.38/0.57 ; 930 formulas have been input or derived (from 28 formulas).
% 0.38/0.57 ; 251 (27%) were retained. Of these,
% 0.38/0.57 ; 28 (11%) were simplified or subsumed later,
% 0.38/0.57 ; 223 (89%) are still being kept.
% 0.38/0.57 ;
% 0.38/0.57 ; Run time in seconds excluding printing time:
% 0.38/0.57 ; 0.004 4% Read assertion file (1 call)
% 0.38/0.57 ; 0.001 1% Assert (18 calls)
% 0.38/0.57 ; 0.019 19% Process new row (911 calls)
% 0.38/0.57 ; 0.025 25% Resolution (54 calls)
% 0.38/0.57 ; 0.000 0% Paramodulation (27 calls)
% 0.38/0.57 ; 0.000 0% Condensing (20 calls)
% 0.38/0.57 ; 0.000 0% Forward subsumption (20 calls)
% 0.38/0.57 ; 0.001 1% Backward subsumption (20 calls)
% 0.38/0.57 ; 0.000 0% Clause clause subsumption (20 calls)
% 0.38/0.57 ; 0.017 17% Forward simplification (911 calls)
% 0.38/0.57 ; 0.003 3% Backward simplification (251 calls)
% 0.38/0.57 ; 0.003 3% Ordering (204 calls)
% 0.38/0.57 ; 0.001 1% Sortal reasoning (32 calls)
% 0.38/0.57 ; 0.000 0% Purity testing (1 call)
% 0.38/0.57 ; 0.028 27% Other
% 0.38/0.57 ; 0.102 Total
% 0.38/0.57 ; 0.103 Real time
% 0.38/0.57 ;
% 0.38/0.57 ; Term-hash-array has 500 terms in all.
% 0.38/0.57 ; Feature-vector-row-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.38/0.57 ; Feature-vector-row-index has 49 nodes (49 at peak, 49 added, 0 deleted).
% 0.38/0.57 ; Retrieved 13 possibly forward subsuming rows in 20 calls.
% 0.38/0.57 ; Retrieved 7 possibly backward subsumed rows in 20 calls.
% 0.38/0.57 ; Path-index has 457 entries (457 at peak, 518 added, 61 deleted).
% 0.38/0.57 ; Path-index has 294 nodes (294 at peak, 294 added, 0 deleted).
% 0.38/0.57 ; Trie-index has 457 entries (457 at peak, 518 added, 61 deleted).
% 0.38/0.57 ; Trie-index has 1,270 nodes (1,270 at peak, 1,442 added, 172 deleted).
% 0.38/0.57 ; Retrieved 1,883 generalization terms in 3,810 calls.
% 0.38/0.57 ; Retrieved 230 instance terms in 230 calls.
% 0.38/0.57 ; Retrieved 18,002 unifiable terms in 2,302 calls.
% 0.38/0.57 ;
% 0.38/0.57 ; The agenda of rows to process has 18 entries:
% 0.38/0.57 ; 16 with value 10 2 with value 25
% 0.38/0.57 ; The agenda of input rows to give has 1 entry:
% 0.38/0.57 ; 1 with value 26
% 0.38/0.57 ; The agenda of rows to give has 194 entries:
% 0.38/0.57 ; 9 with value (4 7) 34 with value (4 11) 29 with value (4 15)
% 0.38/0.57 ; 41 with value (4 8) 46 with value (4 13) 16 with value (4 18)
% 0.38/0.57 ; 5 with value (4 10) 8 with value (4 14) 6 with value (4 20)
% 0.38/0.57 Evaluation took:
% 0.38/0.57 0.103 seconds of real time
% 0.38/0.57 0.092628 seconds of user run time
% 0.38/0.57 0.010918 seconds of system run time
% 0.38/0.57 0 calls to %EVAL
% 0.38/0.57 0 page faults and
% 0.38/0.57 6,023,248 bytes consed.
% 0.38/0.57 :PROOF-FOUND
% 0.38/0.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T05:35:22
% 0.38/0.57 :PROOF-FOUND
% 0.38/0.57 *
%------------------------------------------------------------------------------