TSTP Solution File: NUM475+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM475+1 : 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 14:10:52 EDT 2022
% Result : Theorem 2.12s 2.33s
% Output : Refutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 18
% Syntax : Number of clauses : 26 ( 20 unt; 2 nHn; 26 RR)
% Number of literals : 48 ( 16 equ; 23 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| aNaturalNumber0(sdtpldt0(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
cnf(5,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| aNaturalNumber0(sdtasdt0(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
cnf(18,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ aNaturalNumber0(Z)
| sdtpldt0(X,Y) != sdtpldt0(X,Z)
| Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
cnf(28,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ sdtlseqdt0(X,Y)
| Z != sdtmndt0(Y,X)
| aNaturalNumber0(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
cnf(45,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| X = sz00
| ~ doDivides0(X,Y)
| Z != sdtsldt0(Y,X)
| aNaturalNumber0(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
cnf(46,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| X = sz00
| ~ doDivides0(X,Y)
| Z != sdtsldt0(Y,X)
| Y = sdtasdt0(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
cnf(50,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
cnf(51,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
cnf(52,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
cnf(53,hypothesis,
doDivides0(xl,xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).
cnf(54,hypothesis,
doDivides0(xl,sdtpldt0(xm,xn)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).
cnf(55,hypothesis,
xl != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1347) ).
cnf(56,hypothesis,
xp = sdtsldt0(xm,xl),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1360) ).
cnf(57,hypothesis,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1379) ).
cnf(58,hypothesis,
sdtlseqdt0(xp,xq),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1395) ).
cnf(59,hypothesis,
xr = sdtmndt0(xq,xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1422) ).
cnf(60,hypothesis,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1459) ).
cnf(61,negated_conjecture,
xn != sdtasdt0(xl,xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(96,plain,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference('HYPERRESOLVE',[status(thm)],[4,51,52]) ).
cnf(346,plain,
aNaturalNumber0(xp),
inference('UR-RESOLVE',[status(thm)],[45,50,51,55,53,56]) ).
cnf(573,plain,
xm = sdtasdt0(xl,xp),
inference('UR-RESOLVE',[status(thm)],[46,50,51,55,53,56]) ).
cnf(574,plain,
sdtpldt0(xm,sdtasdt0(xl,xr)) = sdtpldt0(xm,xn),
inference('REWRITE',[status(thm)],[60,573,theory(equality)]) ).
cnf(583,plain,
~ aNaturalNumber0(sdtasdt0(xl,xr)),
inference('UR-RESOLVE',[status(thm)],[18,574,51,52,61]) ).
cnf(2981,plain,
aNaturalNumber0(xq),
inference('UR-RESOLVE',[status(thm)],[45,96,50,55,54,57]) ).
cnf(4041,plain,
aNaturalNumber0(xr),
inference('HYPERRESOLVE',[status(thm)],[28,2981,346,58,59]) ).
cnf(5541,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[5,4041,50]),583]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM475+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n023.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 : Tue Jul 5 15:51:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T15:51:12
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-05T15:51:12
% 0.18/0.49 WARNING:
% 0.18/0.49 |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 2.12/2.33
% 2.12/2.33
% 2.12/2.33 #||
% 2.12/2.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.12/2.33 % SZS output start Refutation
% See solution above
% 2.12/2.34 ||#
% 2.12/2.34
% 2.12/2.34 ; Summary of computation:
% 2.12/2.34 ; 19036 formulas have been input or derived (from 81 formulas).
% 2.12/2.34 ; 5541 (29%) were retained. Of these,
% 2.12/2.34 ; 1930 (35%) were simplified or subsumed later,
% 2.12/2.34 ; 3611 (65%) are still being kept.
% 2.12/2.34 ;
% 2.12/2.34 ; Run time in seconds excluding printing time:
% 2.12/2.34 ; 0.010 1% Read assertion file (1 call)
% 2.12/2.34 ; 0.003 0% Assert (42 calls)
% 2.12/2.34 ; 0.394 21% Process new row (15,740 calls)
% 2.12/2.34 ; 0.946 51% Resolution (160 calls)
% 2.12/2.34 ; 0.000 0% Paramodulation (80 calls)
% 2.12/2.34 ; 0.002 0% Condensing (347 calls)
% 2.12/2.34 ; 0.024 1% Forward subsumption (347 calls)
% 2.12/2.34 ; 0.010 1% Backward subsumption (282 calls)
% 2.12/2.34 ; 0.000 0% Clause clause subsumption (403 calls)
% 2.12/2.34 ; 0.244 13% Forward simplification (13,040 calls)
% 2.12/2.34 ; 0.134 7% Backward simplification (5,541 calls)
% 2.12/2.34 ; 0.024 1% Ordering (5,108 calls)
% 2.12/2.34 ; 0.000 0% Sortal reasoning (32 calls)
% 2.12/2.34 ; 0.001 0% Purity testing (1 call)
% 2.12/2.34 ; 0.079 4% Other
% 2.12/2.34 ; 1.871 Total
% 2.12/2.34 ; 1.872 Real time
% 2.12/2.34 ;
% 2.12/2.34 ; Term-hash-array has 12,151 terms in all.
% 2.12/2.34 ; Feature-vector-row-index has 208 entries (208 at peak, 282 added, 74 deleted).
% 2.12/2.34 ; Feature-vector-row-index has 767 nodes (767 at peak, 1,361 added, 594 deleted).
% 2.12/2.34 ; Retrieved 460 possibly forward subsuming rows in 347 calls.
% 2.12/2.34 ; Retrieved 134 possibly backward subsumed rows in 282 calls.
% 2.12/2.34 ; Path-index has 8,393 entries (8,393 at peak, 12,823 added, 4,430 deleted).
% 2.12/2.34 ; Path-index has 1,454 nodes (1,454 at peak, 1,627 added, 173 deleted).
% 2.12/2.34 ; Trie-index has 8,393 entries (8,393 at peak, 12,823 added, 4,430 deleted).
% 2.12/2.34 ; Trie-index has 34,747 nodes (34,747 at peak, 55,273 added, 20,526 deleted).
% 2.12/2.34 ; Retrieved 19,350 generalization terms in 86,598 calls.
% 2.12/2.34 ; Retrieved 5,311 instance terms in 5,258 calls.
% 2.12/2.34 ; Retrieved 1,688,622 unifiable terms in 99,145 calls.
% 2.12/2.34 ;
% 2.12/2.34 ; The agenda of rows to process has 2707 entries:
% 2.12/2.34 ; 42 with value 10 1 with value 16 384 with value 23
% 2.12/2.34 ; 18 with value 11 22 with value 17 256 with value 25
% 2.12/2.34 ; 62 with value 12 788 with value 18 176 with value 27
% 2.12/2.34 ; 96 with value 13 770 with value 20 16 with value 29
% 2.12/2.34 ; 24 with value 15 20 with value 21 32 with value 31
% 2.12/2.34 ; The agenda of rows to give has 3536 entries:
% 2.12/2.34 ; 22 with value (4 7) 190 with value (4 16) 312 with value (4 25)
% 2.12/2.34 ; 81 with value (4 8) 246 with value (4 17) 113 with value (4 26)
% 2.12/2.34 ; 55 with value (4 9) 84 with value (4 18) 119 with value (4 27)
% 2.12/2.34 ; 54 with value (4 10) 281 with value (4 19) 30 with value (4 28)
% 2.12/2.34 ; 98 with value (4 11) 175 with value (4 20) 153 with value (4 29)
% 2.12/2.34 ; 74 with value (4 12) 314 with value (4 21) 18 with value (4 30)
% 2.12/2.34 ; 152 with value (4 13) 140 with value (4 22) 36 with value (4 32)
% 2.12/2.34 ; 95 with value (4 14) 283 with value (4 23) 45 with value (4 33)
% 2.12/2.34 ; 255 with value (4 15) 111 with value (4 24)
% 2.12/2.34 Evaluation took:
% 2.12/2.34 1.873 seconds of real time
% 2.12/2.34 1.759495 seconds of user run time
% 2.12/2.34 0.113442 seconds of system run time
% 2.12/2.34 [Run times include 0.194 seconds GC run time.]
% 2.12/2.34 0 calls to %EVAL
% 2.12/2.34 0 page faults and
% 2.12/2.34 157,138,240 bytes consed.
% 2.12/2.34 :PROOF-FOUND
% 2.12/2.34 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T15:51:14
% 2.12/2.34 :PROOF-FOUND
% 2.12/2.34 *
%------------------------------------------------------------------------------