TSTP Solution File: NUM460+2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM460+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 14:10:44 EDT 2022
% Result : Theorem 0.70s 0.93s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 17 ( 13 unt; 0 nHn; 17 RR)
% Number of literals : 25 ( 10 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| aNaturalNumber0(sdtpldt0(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
cnf(6,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| sdtpldt0(X,Y) = sdtpldt0(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
cnf(7,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ aNaturalNumber0(Z)
| sdtpldt0(sdtpldt0(X,Y),Z) = sdtpldt0(X,sdtpldt0(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
cnf(33,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__773) ).
cnf(34,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__773) ).
cnf(36,negated_conjecture,
aNaturalNumber0('SKOLEMAAAU2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(37,negated_conjecture,
sdtpldt0(xm,'SKOLEMAAAU2') = xn,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(39,negated_conjecture,
aNaturalNumber0('SKOLEMAAAU3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(40,negated_conjecture,
sdtpldt0(xn,'SKOLEMAAAU3') = xl,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(42,negated_conjecture,
( ~ aNaturalNumber0(X)
| sdtpldt0(xm,X) != xl ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(96,plain,
aNaturalNumber0(sdtpldt0('SKOLEMAAAU3','SKOLEMAAAU2')),
inference('HYPERRESOLVE',[status(thm)],[4,39,36]) ).
cnf(156,plain,
sdtpldt0('SKOLEMAAAU3',xn) = xl,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,39,34]),40,theory(equality)]) ).
cnf(161,plain,
sdtpldt0('SKOLEMAAAU2',xm) = xn,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,36,33]),37,theory(equality)]) ).
cnf(228,plain,
sdtpldt0(sdtpldt0('SKOLEMAAAU3','SKOLEMAAAU2'),xm) = xl,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,39,36,33]),156,161,theory(equality)]) ).
cnf(380,plain,
sdtpldt0(sdtpldt0(xm,'SKOLEMAAAU3'),'SKOLEMAAAU2') = sdtpldt0(xm,sdtpldt0('SKOLEMAAAU3','SKOLEMAAAU2')),
inference('HYPERRESOLVE',[status(thm)],[7,33,39,36]) ).
cnf(1446,plain,
sdtpldt0(sdtpldt0(xm,'SKOLEMAAAU3'),'SKOLEMAAAU2') != xl,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[42,96]),380,theory(equality)]) ).
cnf(1466,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,96,33]),1446,380,228,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM460+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jul 7 10:51:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T10:51:06
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-07T10:51:06
% 0.70/0.93
% 0.70/0.93
% 0.70/0.93 #||
% 0.70/0.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.70/0.93 % SZS output start Refutation
% See solution above
% 0.70/0.93 ||#
% 0.70/0.93
% 0.70/0.93 ; Summary of computation:
% 0.70/0.93 ; 5812 formulas have been input or derived (from 55 formulas).
% 0.70/0.93 ; 1466 (25%) were retained. Of these,
% 0.70/0.93 ; 119 ( 8%) were simplified or subsumed later,
% 0.70/0.93 ; 1347 (92%) are still being kept.
% 0.70/0.93 ;
% 0.70/0.93 ; Run time in seconds excluding printing time:
% 0.70/0.93 ; 0.006 1% Read assertion file (1 call)
% 0.70/0.93 ; 0.001 0% Assert (23 calls)
% 0.70/0.93 ; 0.093 20% Process new row (4,095 calls)
% 0.70/0.93 ; 0.230 49% Resolution (108 calls)
% 0.70/0.93 ; 0.001 0% Paramodulation (54 calls)
% 0.70/0.93 ; 0.000 0% Condensing (46 calls)
% 0.70/0.93 ; 0.001 0% Forward subsumption (46 calls)
% 0.70/0.93 ; 0.000 0% Backward subsumption (42 calls)
% 0.70/0.93 ; 0.000 0% Clause clause subsumption (27 calls)
% 0.70/0.93 ; 0.070 15% Forward simplification (4,095 calls)
% 0.70/0.93 ; 0.014 3% Backward simplification (1,466 calls)
% 0.70/0.93 ; 0.006 1% Ordering (1,285 calls)
% 0.70/0.93 ; 0.000 0% Sortal reasoning (32 calls)
% 0.70/0.93 ; 0.000 0% Purity testing (1 call)
% 0.70/0.93 ; 0.043 9% Other
% 0.70/0.93 ; 0.465 Total
% 0.70/0.93 ; 0.466 Real time
% 0.70/0.93 ;
% 0.70/0.93 ; Term-hash-array has 3,341 terms in all.
% 0.70/0.93 ; Feature-vector-row-index has 42 entries (42 at peak, 42 added, 0 deleted).
% 0.70/0.93 ; Feature-vector-row-index has 144 nodes (144 at peak, 144 added, 0 deleted).
% 0.70/0.93 ; Retrieved 19 possibly forward subsuming rows in 46 calls.
% 0.70/0.93 ; Retrieved 8 possibly backward subsumed rows in 42 calls.
% 0.70/0.93 ; Path-index has 3,142 entries (3,143 at peak, 3,427 added, 285 deleted).
% 0.70/0.93 ; Path-index has 660 nodes (662 at peak, 674 added, 14 deleted).
% 0.70/0.93 ; Trie-index has 3,142 entries (3,143 at peak, 3,427 added, 285 deleted).
% 0.70/0.93 ; Trie-index has 9,233 nodes (9,237 at peak, 10,096 added, 863 deleted).
% 0.70/0.93 ; Retrieved 6,187 generalization terms in 19,843 calls.
% 0.70/0.93 ; Retrieved 1,429 instance terms in 1,423 calls.
% 0.70/0.93 ; Retrieved 306,409 unifiable terms in 17,698 calls.
% 0.70/0.93 ;
% 0.70/0.93 ; The agenda of rows to process has 1599 entries:
% 0.70/0.93 ; 54 with value 16 588 with value 21 56 with value 27
% 0.70/0.93 ; 1 with value 18 392 with value 23 124 with value 29
% 0.70/0.93 ; 8 with value 20 364 with value 25 12 with value 33
% 0.70/0.93 ; The agenda of rows to give has 1292 entries:
% 0.70/0.93 ; 53 with value (4 7) 19 with value (4 12) 160 with value (4 17)
% 0.70/0.93 ; 81 with value (4 8) 238 with value (4 13) 64 with value (4 18)
% 0.70/0.93 ; 9 with value (4 9) 21 with value (4 14) 4 with value (4 19)
% 0.70/0.93 ; 32 with value (4 10) 404 with value (4 15) 55 with value (4 20)
% 0.70/0.93 ; 138 with value (4 11) 14 with value (4 16)
% 0.70/0.93 Evaluation took:
% 0.70/0.93 0.467 seconds of real time
% 0.70/0.93 0.431397 seconds of user run time
% 0.70/0.93 0.034891 seconds of system run time
% 0.70/0.93 [Run times include 0.019 seconds GC run time.]
% 0.70/0.93 0 calls to %EVAL
% 0.70/0.93 0 page faults and
% 0.70/0.93 31,979,760 bytes consed.
% 0.70/0.93 :PROOF-FOUND
% 0.70/0.93 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T10:51:07
% 0.70/0.93 :PROOF-FOUND
% 0.70/0.93 *
%------------------------------------------------------------------------------