%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM474+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 1.98s 2.21s
% Output : Refutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 14 ( 13 unt; 0 nHn; 14 RR)
% Number of literals : 17 ( 10 equ; 6 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 : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(16,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ aNaturalNumber0(Z)
| sdtasdt0(X,sdtpldt0(Y,Z)) = sdtpldt0(sdtasdt0(X,Y),sdtasdt0(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
cnf(50,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
cnf(57,hypothesis,
sdtpldt0(xm,xn) = sdtasdt0(xl,'SKOLEMAAAW4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).
cnf(61,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1360) ).
cnf(62,hypothesis,
xm = sdtasdt0(xl,xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1360) ).
cnf(65,hypothesis,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1379) ).
cnf(66,plain,
sdtasdt0(xl,'SKOLEMAAAW4') = sdtasdt0(xl,xq),
inference('REWRITE',[status(thm)],[65,57,theory(equality)]) ).
cnf(71,hypothesis,
aNaturalNumber0(xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1422) ).
cnf(72,hypothesis,
sdtpldt0(xp,xr) = xq,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1422) ).
cnf(74,negated_conjecture,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(75,plain,
sdtpldt0(xm,sdtasdt0(xl,xr)) != sdtpldt0(xm,xn),
inference('REWRITE',[status(thm)],[74,62,theory(equality)]) ).
cnf(76,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference('REWRITE',[status(thm)],[57,66,theory(equality)]) ).
cnf(78,plain,
sdtpldt0(xm,sdtasdt0(xl,xr)) != sdtasdt0(xl,xq),
inference('REWRITE',[status(thm)],[75,76,theory(equality)]) ).
cnf(4265,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,50,61,71]),78,62,72,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM474+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n004.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 : Thu Jul 7 02:33:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T02:33:08
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-07T02:33:08
% 0.20/0.52 WARNING:
% 0.20/0.52 |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 1.98/2.18
% 1.98/2.18
% 1.98/2.18 #||
% 1.98/2.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.98/2.22 % SZS output start Refutation
% See solution above
% 1.98/2.22 ||#
% 1.98/2.22
% 1.98/2.22 ; Summary of computation:
% 1.98/2.22 ; 10663 formulas have been input or derived (from 63 formulas).
% 1.98/2.22 ; 4265 (40%) were retained. Of these,
% 1.98/2.22 ; 492 (12%) were simplified or subsumed later,
% 1.98/2.22 ; 3773 (88%) are still being kept.
% 1.98/2.22 ;
% 1.98/2.22 ; Run time in seconds excluding printing time:
% 1.98/2.22 ; 0.012 1% Read assertion file (1 call)
% 1.98/2.22 ; 0.002 0% Assert (41 calls)
% 1.98/2.22 ; 0.476 28% Process new row (8,985 calls)
% 1.98/2.22 ; 0.734 44% Resolution (124 calls)
% 1.98/2.22 ; 0.001 0% Paramodulation (62 calls)
% 1.98/2.22 ; 0.003 0% Condensing (282 calls)
% 1.98/2.22 ; 0.006 0% Forward subsumption (282 calls)
% 1.98/2.22 ; 0.004 0% Backward subsumption (215 calls)
% 1.98/2.22 ; 0.015 1% Clause clause subsumption (181 calls)
% 1.98/2.22 ; 0.257 15% Forward simplification (8,984 calls)
% 1.98/2.22 ; 0.076 5% Backward simplification (4,262 calls)
% 1.98/2.22 ; 0.021 1% Ordering (3,994 calls)
% 1.98/2.22 ; 0.000 0% Sortal reasoning (32 calls)
% 1.98/2.22 ; 0.001 0% Purity testing (1 call)
% 1.98/2.22 ; 0.077 5% Other
% 1.98/2.22 ; 1.685 Total
% 1.98/2.22 ; 1.726 Real time
% 2.06/2.22 ;
% 2.06/2.22 ; Term-hash-array has 10,179 terms in all.
% 2.06/2.22 ; Feature-vector-row-index has 199 entries (199 at peak, 215 added, 16 deleted).
% 2.06/2.22 ; Feature-vector-row-index has 562 nodes (562 at peak, 619 added, 57 deleted).
% 2.06/2.22 ; Retrieved 183 possibly forward subsuming rows in 282 calls.
% 2.06/2.22 ; Retrieved 76 possibly backward subsumed rows in 215 calls.
% 2.06/2.22 ; Path-index has 9,336 entries (9,336 at peak, 10,550 added, 1,214 deleted).
% 2.06/2.22 ; Path-index has 768 nodes (775 at peak, 795 added, 27 deleted).
% 2.06/2.22 ; Trie-index has 9,336 entries (9,336 at peak, 10,550 added, 1,214 deleted).
% 2.06/2.22 ; Trie-index has 26,736 nodes (26,738 at peak, 30,275 added, 3,539 deleted).
% 2.06/2.22 ; Retrieved 9,761 generalization terms in 43,553 calls.
% 2.06/2.22 ; Retrieved 4,046 instance terms in 4,046 calls.
% 2.06/2.22 ; Retrieved 1,005,542 unifiable terms in 43,743 calls.
% 2.06/2.22 ;
% 2.06/2.22 ; The agenda of rows to process has 1660 entries:
% 2.06/2.22 ; 1660 with value 17
% 2.06/2.22 ; The agenda of input rows to give has 10 entries:
% 2.06/2.22 ; 1 with value 25 1 with value 27 2 with value 30
% 2.06/2.22 ; 4 with value 26 1 with value 28 1 with value 31
% 2.06/2.22 ; The agenda of rows to give has 3700 entries:
% 2.06/2.22 ; 14 with value (4 5) 145 with value (4 11) 12 with value (4 16)
% 2.06/2.22 ; 153 with value (4 7) 76 with value (4 12) 482 with value (4 17)
% 2.06/2.22 ; 150 with value (4 8) 570 with value (4 13) 202 with value (4 18)
% 2.06/2.22 ; 66 with value (4 9) 1617 with value (4 15) 125 with value (4 20)
% 2.06/2.22 ; 88 with value (4 10)
% 2.06/2.22 Evaluation took:
% 2.06/2.22 1.727 seconds of real time
% 2.06/2.22 1.65259 seconds of user run time
% 2.06/2.22 0.071874 seconds of system run time
% 2.06/2.22 [Run times include 0.146 seconds GC run time.]
% 2.06/2.22 0 calls to %EVAL
% 2.06/2.22 0 page faults and
% 2.06/2.22 76,424,720 bytes consed.
% 2.06/2.22 :PROOF-FOUND
% 2.06/2.22 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T02:33:09
% 2.06/2.22 :PROOF-FOUND
% 2.06/2.22 *
%------------------------------------------------------------------------------