TSTP Solution File: NUM478+2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM478+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 14:10:54 EDT 2022
% Result : Theorem 59.50s 59.68s
% Output : Refutation 59.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of clauses : 22 ( 18 unt; 1 nHn; 22 RR)
% Number of literals : 35 ( 15 equ; 16 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| aNaturalNumber0(sdtasdt0(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
cnf(10,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
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(47,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| X = sz00
| ~ doDivides0(X,Y)
| Z = sdtsldt0(Y,X)
| ~ aNaturalNumber0(Z)
| Y != sdtasdt0(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
cnf(52,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1524) ).
cnf(53,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1524) ).
cnf(54,hypothesis,
xl != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1524_04) ).
cnf(55,hypothesis,
aNaturalNumber0('SKOLEMAAAU3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1524_04) ).
cnf(56,hypothesis,
xm = sdtasdt0(xl,'SKOLEMAAAU3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1524_04) ).
cnf(57,hypothesis,
doDivides0(xl,xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1524_04) ).
cnf(58,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1553) ).
cnf(59,negated_conjecture,
aNaturalNumber0(sdtsldt0(xm,xl)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(61,negated_conjecture,
sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(144,plain,
aNaturalNumber0(sdtasdt0(xn,'SKOLEMAAAU3')),
inference('HYPERRESOLVE',[status(thm)],[5,58,55]) ).
cnf(206,plain,
sdtasdt0('SKOLEMAAAU3',xl) = xm,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,55,52]),56,theory(equality)]) ).
cnf(593,plain,
sdtasdt0(sdtasdt0(xn,'SKOLEMAAAU3'),xl) = sdtasdt0(xn,xm),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,58,55,52]),206,theory(equality)]) ).
cnf(654,plain,
sdtasdt0(sdtasdt0(xl,xn),'SKOLEMAAAU3') = sdtasdt0(xl,sdtasdt0(xn,'SKOLEMAAAU3')),
inference('HYPERRESOLVE',[status(thm)],[11,52,58,55]) ).
cnf(739,plain,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference('HYPERRESOLVE',[status(thm)],[11,52,58,59]) ).
cnf(740,plain,
sdtasdt0(xn,xm) != sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)),
inference('REWRITE',[status(thm)],[61,739,theory(equality)]) ).
cnf(1517,plain,
'SKOLEMAAAU3' = sdtsldt0(xm,xl),
inference('UR-RESOLVE',[status(thm)],[47,52,53,54,57,55,56]) ).
cnf(1527,plain,
sdtasdt0(xn,xm) != sdtasdt0(sdtasdt0(xl,xn),'SKOLEMAAAU3'),
inference('REWRITE',[status(thm)],[740,1517,theory(equality)]) ).
cnf(73239,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,144,52]),1527,654,593,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM478+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n023.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 : Tue Jul 5 10:43:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /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 2022-07-05T10:43:42
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-05T10:43:42
% 0.20/0.50 WARNING:
% 0.20/0.50 |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 59.50/59.68
% 59.50/59.68
% 59.50/59.68 #||
% 59.50/59.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.50/59.68 % SZS output start Refutation
% See solution above
% 59.50/59.68 ||#
% 59.50/59.68
% 59.50/59.68 ; Summary of computation:
% 59.50/59.68 ; 192402 formulas have been input or derived (from 95 formulas).
% 59.50/59.68 ; 73239 (38%) were retained. Of these,
% 59.50/59.68 ; 8886 (12%) were simplified or subsumed later,
% 59.50/59.68 ; 64353 (88%) are still being kept.
% 59.50/59.68 ;
% 59.50/59.68 ; Run time in seconds excluding printing time:
% 59.50/59.68 ; 0.012 0% Read assertion file (1 call)
% 59.50/59.68 ; 0.003 0% Assert (39 calls)
% 59.50/59.68 ; 9.869 17% Process new row (171,252 calls)
% 59.50/59.68 ; 38.475 65% Resolution (188 calls)
% 59.50/59.68 ; 0.004 0% Paramodulation (94 calls)
% 59.50/59.68 ; 0.004 0% Condensing (1,099 calls)
% 59.50/59.68 ; 0.041 0% Forward subsumption (1,099 calls)
% 59.50/59.68 ; 0.033 0% Backward subsumption (732 calls)
% 59.50/59.68 ; 0.003 0% Clause clause subsumption (2,529 calls)
% 59.50/59.68 ; 7.967 13% Forward simplification (171,248 calls)
% 59.50/59.68 ; 1.742 3% Backward simplification (73,239 calls)
% 59.50/59.68 ; 0.458 1% Ordering (71,457 calls)
% 59.50/59.68 ; 0.000 0% Sortal reasoning (32 calls)
% 59.50/59.68 ; 0.000 0% Purity testing (1 call)
% 59.50/59.68 ; 0.585 1% Other
% 59.50/59.68 ; 59.196 Total
% 59.50/59.68 ; 59.207 Real time
% 59.50/59.68 ;
% 59.50/59.68 ; Term-hash-array has 167,884 terms in all.
% 59.50/59.68 ; Feature-vector-row-index has 694 entries (694 at peak, 732 added, 38 deleted).
% 59.50/59.68 ; Feature-vector-row-index has 1,356 nodes (1,356 at peak, 1,519 added, 163 deleted).
% 59.50/59.68 ; Retrieved 4,048 possibly forward subsuming rows in 1,099 calls.
% 59.50/59.68 ; Retrieved 1,951 possibly backward subsumed rows in 732 calls.
% 59.50/59.68 ; Path-index has 155,591 entries (155,591 at peak, 174,824 added, 19,233 deleted).
% 59.50/59.68 ; Path-index has 1,864 nodes (1,864 at peak, 1,989 added, 125 deleted).
% 59.50/59.68 ; Trie-index has 155,591 entries (155,591 at peak, 174,824 added, 19,233 deleted).
% 59.50/59.68 ; Trie-index has 832,848 nodes (832,848 at peak, 940,056 added, 107,208 deleted).
% 59.50/59.68 ; Retrieved 263,872 generalization terms in 1,674,042 calls.
% 59.50/59.68 ; Retrieved 73,047 instance terms in 72,506 calls.
% 59.50/59.68 ; Retrieved 29,630,094 unifiable terms in 1,018,989 calls.
% 59.50/59.68 ;
% 59.50/59.68 ; The agenda of rows to process has 17975 entries:
% 59.50/59.68 ; 58 with value 16 432 with value 21 1024 with value 27
% 59.50/59.68 ; 132 with value 18 331 with value 23 7308 with value 29
% 59.50/59.68 ; 6 with value 19 3168 with value 25 5292 with value 33
% 59.50/59.68 ; 224 with value 20
% 59.50/59.68 ; The agenda of rows to give has 64263 entries:
% 59.50/59.68 ; 13 with value (4 7) 522 with value (4 16) 829 with value (4 26)
% 59.50/59.68 ; 85 with value (4 8) 1211 with value (4 17) 3996 with value (4 27)
% 59.50/59.68 ; 51 with value (4 9) 251 with value (4 18) 1892 with value (4 28)
% 59.50/59.68 ; 19 with value (4 10) 929 with value (4 19) 16017 with value (4 29)
% 59.50/59.68 ; 296 with value (4 11) 782 with value (4 20) 1925 with value (4 30)
% 59.50/59.68 ; 127 with value (4 12) 1585 with value (4 21) 4599 with value (4 32)
% 59.50/59.68 ; 804 with value (4 13) 3684 with value (4 23) 10480 with value (4 33)
% 59.50/59.68 ; 115 with value (4 14) 341 with value (4 24) 648 with value (4 34)
% 59.50/59.68 ; 607 with value (4 15) 7815 with value (4 25) 4640 with value (4 36)
% 59.50/59.68 Evaluation took:
% 59.50/59.68 59.211 seconds of real time
% 59.50/59.68 57.306717 seconds of user run time
% 59.50/59.68 1.894622 seconds of system run time
% 59.50/59.68 [Run times include 10.152 seconds GC run time.]
% 59.50/59.68 0 calls to %EVAL
% 59.50/59.68 0 page faults and
% 59.50/59.68 2,392,320,064 bytes consed.
% 59.50/59.68 :PROOF-FOUND
% 59.50/59.68 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T10:44:41
% 59.50/59.68 :PROOF-FOUND
% 59.50/59.68 *
%------------------------------------------------------------------------------