TSTP Solution File: NUM524+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM524+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 97.92s 98.10s
% Output : Refutation 97.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 15
% Syntax : Number of clauses : 23 ( 17 unt; 4 nHn; 23 RR)
% Number of literals : 49 ( 19 equ; 25 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 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 : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| aNaturalNumber0(sdtasdt0(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
cnf(11,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ aNaturalNumber0(Z)
| sdtasdt0(sdtasdt0(X,Y),Z) = sdtasdt0(X,sdtasdt0(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
cnf(46,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| X = sz00
| ~ doDivides0(X,Y)
| Z != sdtsldt0(Y,X)
| aNaturalNumber0(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
cnf(47,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| X = sz00
| ~ doDivides0(X,Y)
| Z != sdtsldt0(Y,X)
| Y = sdtasdt0(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
cnf(48,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| X = sz00
| ~ doDivides0(X,Y)
| Z = sdtsldt0(Y,X)
| ~ aNaturalNumber0(Z)
| Y != sdtasdt0(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
cnf(53,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| X = sz00
| ~ doDivides0(X,Y)
| ~ aNaturalNumber0(Z)
| sdtasdt0(Z,sdtsldt0(Y,X)) = sdtsldt0(sdtasdt0(Z,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivAsso) ).
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(70,hypothesis,
xp != sz00,
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(74,hypothesis,
doDivides0(xp,sdtasdt0(xn,xn)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3046) ).
cnf(75,hypothesis,
doDivides0(xp,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3046) ).
cnf(76,hypothesis,
xq = sdtsldt0(xn,xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3059) ).
cnf(77,negated_conjecture,
sdtasdt0(xm,xm) != sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(131,plain,
aNaturalNumber0(sdtasdt0(xm,xm)),
inference('HYPERRESOLVE',[status(thm)],[5,66,66]) ).
cnf(135,plain,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference('HYPERRESOLVE',[status(thm)],[5,65,65]) ).
cnf(399,plain,
aNaturalNumber0(xq),
inference('UR-RESOLVE',[status(thm)],[46,67,65,70,75,76]) ).
cnf(629,plain,
xn = sdtasdt0(xp,xq),
inference('UR-RESOLVE',[status(thm)],[47,67,65,70,75,76]) ).
cnf(634,plain,
sdtasdt0(xn,xq) = sdtsldt0(sdtasdt0(xn,xn),xp),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[53,67,65,70,75,65]),76,theory(equality)]) ).
cnf(756,plain,
sdtasdt0(xn,xq) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,399,67,399]),629,theory(equality)]) ).
cnf(757,plain,
sdtasdt0(xm,xm) != sdtasdt0(xn,xq),
inference('REWRITE',[status(thm)],[77,756,theory(equality)]) ).
cnf(90735,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[48,135,67,70,74,131,72]),757,634,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM524+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 03:19:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T03:19:59
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-05T03:19:59
% 97.92/98.10
% 97.92/98.10
% 97.92/98.10 #||
% 97.92/98.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 97.92/98.10 % SZS output start Refutation
% See solution above
% 97.92/98.10 ||#
% 97.92/98.10
% 97.92/98.10 ; Summary of computation:
% 97.92/98.10 ; 232892 formulas have been input or derived (from 122 formulas).
% 97.92/98.10 ; 90735 (39%) were retained. Of these,
% 97.92/98.10 ; 7483 ( 8%) were simplified or subsumed later,
% 97.92/98.10 ; 83252 (92%) are still being kept.
% 97.92/98.10 ;
% 97.92/98.10 ; Run time in seconds excluding printing time:
% 97.92/98.10 ; 0.013 0% Read assertion file (1 call)
% 97.92/98.10 ; 0.003 0% Assert (46 calls)
% 97.92/98.10 ; 13.641 14% Process new row (208,068 calls)
% 97.92/98.10 ; 70.820 73% Resolution (242 calls)
% 97.92/98.10 ; 0.005 0% Paramodulation (121 calls)
% 97.92/98.10 ; 0.005 0% Condensing (1,279 calls)
% 97.92/98.10 ; 0.051 0% Forward subsumption (1,279 calls)
% 97.92/98.10 ; 0.019 0% Backward subsumption (902 calls)
% 97.92/98.10 ; 0.007 0% Clause clause subsumption (2,752 calls)
% 97.92/98.10 ; 8.927 9% Forward simplification (208,068 calls)
% 97.92/98.10 ; 2.527 3% Backward simplification (90,735 calls)
% 97.92/98.10 ; 0.839 1% Ordering (88,105 calls)
% 97.92/98.10 ; 0.000 0% Sortal reasoning (32 calls)
% 97.92/98.10 ; 0.000 0% Purity testing (1 call)
% 97.92/98.10 ; 0.776 1% Other
% 97.92/98.10 ; 97.633 Total
% 97.92/98.10 ; 97.631 Real time
% 97.92/98.10 ;
% 97.92/98.10 ; Term-hash-array has 217,318 terms in all.
% 97.92/98.10 ; Feature-vector-row-index has 855 entries (855 at peak, 902 added, 47 deleted).
% 97.92/98.10 ; Feature-vector-row-index has 2,630 nodes (2,632 at peak, 2,845 added, 215 deleted).
% 97.92/98.10 ; Retrieved 2,328 possibly forward subsuming rows in 1,279 calls.
% 97.92/98.10 ; Retrieved 982 possibly backward subsumed rows in 902 calls.
% 97.92/98.10 ; Path-index has 207,602 entries (207,602 at peak, 223,465 added, 15,863 deleted).
% 97.92/98.10 ; Path-index has 2,717 nodes (2,717 at peak, 2,750 added, 33 deleted).
% 97.92/98.10 ; Trie-index has 207,602 entries (207,602 at peak, 223,465 added, 15,863 deleted).
% 97.92/98.10 ; Trie-index has 1,132,367 nodes (1,132,367 at peak, 1,221,936 added, 89,569 deleted).
% 97.92/98.10 ; Retrieved 319,303 generalization terms in 2,001,759 calls.
% 97.92/98.10 ; Retrieved 90,322 instance terms in 89,832 calls.
% 97.92/98.10 ; Retrieved 51,459,683 unifiable terms in 1,504,557 calls.
% 97.92/98.10 ;
% 97.92/98.10 ; The agenda of rows to process has 20834 entries:
% 97.92/98.10 ; 5 with value 14 236 with value 20 1652 with value 27
% 97.92/98.10 ; 25 with value 15 446 with value 21 12 with value 28
% 97.92/98.10 ; 84 with value 16 478 with value 23 7947 with value 29
% 97.92/98.10 ; 4 with value 17 2 with value 24 177 with value 30
% 97.92/98.10 ; 149 with value 18 3402 with value 25 352 with value 31
% 97.92/98.10 ; 6 with value 19 48 with value 26 5809 with value 33
% 97.92/98.10 ; The agenda of rows to give has 83131 entries:
% 97.92/98.10 ; 4 with value (4 7) 1377 with value (4 17) 8034 with value (4 27)
% 97.92/98.10 ; 117 with value (4 8) 439 with value (4 18) 2284 with value (4 28)
% 97.92/98.10 ; 85 with value (4 9) 1356 with value (4 19) 17954 with value (4 29)
% 97.92/98.10 ; 63 with value (4 10) 912 with value (4 20) 3694 with value (4 30)
% 97.92/98.10 ; 356 with value (4 11) 2711 with value (4 21) 3370 with value (4 31)
% 97.92/98.10 ; 320 with value (4 12) 32 with value (4 22) 2788 with value (4 32)
% 97.92/98.10 ; 801 with value (4 13) 6087 with value (4 23) 9413 with value (4 33)
% 97.92/98.10 ; 455 with value (4 14) 572 with value (4 24) 3646 with value (4 34)
% 97.92/98.10 ; 633 with value (4 15) 10668 with value (4 25) 2436 with value (4 36)
% 97.92/98.10 ; 1019 with value (4 16) 1505 with value (4 26)
% 97.92/98.10 Evaluation took:
% 97.92/98.10 97.636 seconds of real time
% 97.92/98.10 95.002975 seconds of user run time
% 97.92/98.10 2.637199 seconds of system run time
% 97.92/98.10 [Run times include 15.109 seconds GC run time.]
% 97.92/98.10 0 calls to %EVAL
% 97.92/98.10 0 page faults and
% 97.92/98.10 3,159,417,424 bytes consed.
% 97.92/98.10 :PROOF-FOUND
% 97.92/98.10 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T03:21:37
% 97.92/98.10 :PROOF-FOUND
% 97.92/98.10 *
%------------------------------------------------------------------------------