TSTP Solution File: NUM523+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM523+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 14:11:20 EDT 2022
% Result : Theorem 88.99s 89.19s
% Output : Refutation 88.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 14 ( 10 unt; 1 nHn; 14 RR)
% Number of literals : 27 ( 2 equ; 14 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| aNaturalNumber0(sdtasdt0(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
cnf(45,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| doDivides0(X,Y)
| ~ aNaturalNumber0(Z)
| Y != sdtasdt0(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
cnf(64,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ aNaturalNumber0(Z)
| ~ isPrime0(Z)
| ~ doDivides0(Z,sdtasdt0(X,Y))
| doDivides0(Z,X)
| doDivides0(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPDP) ).
cnf(65,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2987) ).
cnf(66,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2987) ).
cnf(67,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2987) ).
cnf(72,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3014) ).
cnf(73,hypothesis,
isPrime0(xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3025) ).
cnf(74,negated_conjecture,
( ~ doDivides0(xp,sdtasdt0(xn,xn))
| ~ doDivides0(xp,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(128,plain,
aNaturalNumber0(sdtasdt0(xm,xm)),
inference('HYPERRESOLVE',[status(thm)],[5,66,66]) ).
cnf(132,plain,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference('HYPERRESOLVE',[status(thm)],[5,65,65]) ).
cnf(80068,plain,
doDivides0(xp,sdtasdt0(xn,xn)),
inference('HYPERRESOLVE',[status(thm)],[45,132,67,128,72]) ).
cnf(80069,plain,
~ doDivides0(xp,xn),
inference('REWRITE',[status(thm)],[74,80068]) ).
cnf(89316,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[64,80069,65,65,67,73,80069]),80068]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM523+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n008.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 15:11:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T15:11:08
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-06T15:11:08
% 88.99/89.19
% 88.99/89.19
% 88.99/89.19 #||
% 88.99/89.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 88.99/89.19 % SZS output start Refutation
% See solution above
% 88.99/89.19 ||#
% 88.99/89.19
% 88.99/89.19 ; Summary of computation:
% 88.99/89.19 ; 209827 formulas have been input or derived (from 115 formulas).
% 88.99/89.19 ; 89316 (43%) were retained. Of these,
% 88.99/89.19 ; 6336 ( 7%) were simplified or subsumed later,
% 88.99/89.19 ; 82980 (93%) are still being kept.
% 88.99/89.19 ;
% 88.99/89.19 ; Run time in seconds excluding printing time:
% 88.99/89.19 ; 0.014 0% Read assertion file (1 call)
% 88.99/89.19 ; 0.003 0% Assert (44 calls)
% 88.99/89.19 ; 14.429 16% Process new row (206,077 calls)
% 88.99/89.19 ; 61.571 69% Resolution (228 calls)
% 88.99/89.19 ; 0.004 0% Paramodulation (114 calls)
% 88.99/89.19 ; 0.002 0% Condensing (1,026 calls)
% 88.99/89.19 ; 0.270 0% Forward subsumption (1,026 calls)
% 88.99/89.19 ; 0.022 0% Backward subsumption (665 calls)
% 88.99/89.19 ; 0.006 0% Clause clause subsumption (2,104 calls)
% 88.99/89.19 ; 8.532 10% Forward simplification (206,077 calls)
% 88.99/89.19 ; 2.355 3% Backward simplification (89,316 calls)
% 88.99/89.19 ; 0.827 1% Ordering (86,927 calls)
% 88.99/89.19 ; 0.000 0% Sortal reasoning (32 calls)
% 88.99/89.19 ; 0.000 0% Purity testing (1 call)
% 88.99/89.19 ; 0.676 1% Other
% 88.99/89.19 ; 88.711 Total
% 88.99/89.19 ; 88.713 Real time
% 88.99/89.20 ;
% 88.99/89.20 ; Term-hash-array has 214,835 terms in all.
% 88.99/89.20 ; Feature-vector-row-index has 626 entries (626 at peak, 665 added, 39 deleted).
% 88.99/89.20 ; Feature-vector-row-index has 1,917 nodes (1,917 at peak, 2,127 added, 210 deleted).
% 88.99/89.20 ; Retrieved 1,935 possibly forward subsuming rows in 1,026 calls.
% 88.99/89.20 ; Retrieved 755 possibly backward subsumed rows in 665 calls.
% 88.99/89.20 ; Path-index has 207,440 entries (207,440 at peak, 220,317 added, 12,877 deleted).
% 88.99/89.20 ; Path-index has 2,086 nodes (2,086 at peak, 2,112 added, 26 deleted).
% 88.99/89.20 ; Trie-index has 207,440 entries (207,440 at peak, 220,317 added, 12,877 deleted).
% 88.99/89.20 ; Trie-index has 1,156,438 nodes (1,156,438 at peak, 1,230,418 added, 73,980 deleted).
% 88.99/89.20 ; Retrieved 319,162 generalization terms in 2,009,897 calls.
% 88.99/89.20 ; Retrieved 89,140 instance terms in 88,650 calls.
% 88.99/89.20 ; Retrieved 44,608,512 unifiable terms in 1,363,179 calls.
% 88.99/89.20 ;
% 88.99/89.20 ; The agenda of rows to process has 23 entries:
% 88.99/89.20 ; 1 with value 11 22 with value 12
% 88.99/89.20 ; The agenda of rows to give has 82866 entries:
% 88.99/89.20 ; 1 with value (4 5) 910 with value (4 16) 1212 with value (4 26)
% 88.99/89.20 ; 2 with value (4 7) 1496 with value (4 17) 8325 with value (4 27)
% 88.99/89.20 ; 102 with value (4 8) 321 with value (4 18) 2444 with value (4 28)
% 88.99/89.20 ; 60 with value (4 9) 840 with value (4 19) 19463 with value (4 29)
% 88.99/89.20 ; 52 with value (4 10) 826 with value (4 20) 3602 with value (4 30)
% 88.99/89.20 ; 269 with value (4 11) 1789 with value (4 21) 3892 with value (4 31)
% 88.99/89.20 ; 277 with value (4 12) 22 with value (4 22) 2763 with value (4 32)
% 88.99/89.20 ; 800 with value (4 13) 5331 with value (4 23) 11540 with value (4 33)
% 88.99/89.20 ; 380 with value (4 14) 511 with value (4 24) 4144 with value (4 34)
% 88.99/89.20 ; 484 with value (4 15) 8984 with value (4 25) 2024 with value (4 36)
% 88.99/89.20 Evaluation took:
% 88.99/89.20 88.72 seconds of real time
% 88.99/89.20 86.221115 seconds of user run time
% 88.99/89.20 2.499239 seconds of system run time
% 88.99/89.20 [Run times include 13.876 seconds GC run time.]
% 88.99/89.20 0 calls to %EVAL
% 88.99/89.20 0 page faults and
% 88.99/89.20 2,997,543,392 bytes consed.
% 88.99/89.20 :PROOF-FOUND
% 88.99/89.20 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T15:12:37
% 88.99/89.20 :PROOF-FOUND
% 88.99/89.20 *
%------------------------------------------------------------------------------