%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM525+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 14:11:21 EDT 2022
% Result : Theorem 34.63s 34.82s
% Output : Refutation 34.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 23 ( 18 unt; 2 nHn; 23 RR)
% Number of literals : 40 ( 19 equ; 20 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 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 : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| aNaturalNumber0(sdtasdt0(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
cnf(10,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
cnf(11,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ aNaturalNumber0(Z)
| sdtasdt0(sdtasdt0(X,Y),Z) = sdtasdt0(X,sdtasdt0(Y,Z)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
cnf(65,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
cnf(67,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
cnf(70,hypothesis,
xp != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
cnf(72,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3014) ).
cnf(75,hypothesis,
doDivides0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3046) ).
cnf(76,hypothesis,
xq = sdtsldt0(xn,xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3059) ).
cnf(77,negated_conjecture,
sdtasdt0(xp,sdtasdt0(xm,xm)) != sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(78,plain,
sdtasdt0(xn,xn) != sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
inference('REWRITE',[status(thm)],[77,72,theory(equality)]) ).
cnf(130,plain,
aNaturalNumber0(sdtasdt0(xp,xn)),
inference('HYPERRESOLVE',[status(thm)],[5,67,65]) ).
cnf(400,plain,
aNaturalNumber0(xq),
inference('UR-RESOLVE',[status(thm)],[46,67,65,70,75,76]) ).
cnf(630,plain,
xn = sdtasdt0(xp,xq),
inference('UR-RESOLVE',[status(thm)],[47,67,65,70,75,76]) ).
cnf(683,plain,
sdtasdt0(xq,xp) = xn,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,400,67]),630,theory(equality)]) ).
cnf(714,plain,
sdtasdt0(xn,xn) = sdtasdt0(xq,sdtasdt0(xp,xn)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,400,67,65]),683,theory(equality)]) ).
cnf(757,plain,
sdtasdt0(xn,xq) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,400,67,400]),630,theory(equality)]) ).
cnf(758,plain,
sdtasdt0(xn,xn) != sdtasdt0(xp,sdtasdt0(xn,xq)),
inference('REWRITE',[status(thm)],[78,757,theory(equality)]) ).
cnf(810,plain,
sdtasdt0(sdtasdt0(xp,xn),xq) = sdtasdt0(xp,sdtasdt0(xn,xq)),
inference('HYPERRESOLVE',[status(thm)],[11,400,67,65]) ).
cnf(811,plain,
sdtasdt0(xn,xn) != sdtasdt0(sdtasdt0(xp,xn),xq),
inference('REWRITE',[status(thm)],[758,810,theory(equality)]) ).
cnf(45299,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,130,400]),811,714,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM525+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jul 7 14:42:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T14:42:44
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-07T14:42:44
% 34.63/34.82
% 34.63/34.82
% 34.63/34.82 #||
% 34.63/34.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.63/34.82 % SZS output start Refutation
% See solution above
% 34.63/34.83 ||#
% 34.63/34.83
% 34.63/34.83 ; Summary of computation:
% 34.63/34.83 ; 122116 formulas have been input or derived (from 116 formulas).
% 34.63/34.83 ; 45299 (37%) were retained. Of these,
% 34.63/34.83 ; 5122 (11%) were simplified or subsumed later,
% 34.63/34.83 ; 40177 (89%) are still being kept.
% 34.63/34.83 ;
% 34.63/34.83 ; Run time in seconds excluding printing time:
% 34.63/34.83 ; 0.013 0% Read assertion file (1 call)
% 34.63/34.83 ; 0.003 0% Assert (46 calls)
% 34.63/34.83 ; 5.594 16% Process new row (106,409 calls)
% 34.63/34.83 ; 22.781 66% Resolution (230 calls)
% 34.63/34.83 ; 0.005 0% Paramodulation (115 calls)
% 34.63/34.83 ; 0.007 0% Condensing (893 calls)
% 34.63/34.83 ; 0.038 0% Forward subsumption (893 calls)
% 34.63/34.83 ; 0.008 0% Backward subsumption (655 calls)
% 34.63/34.83 ; 0.002 0% Clause clause subsumption (1,655 calls)
% 34.63/34.83 ; 3.793 11% Forward simplification (106,409 calls)
% 34.63/34.83 ; 1.422 4% Backward simplification (45,298 calls)
% 34.63/34.83 ; 0.316 1% Ordering (43,506 calls)
% 34.63/34.83 ; 0.001 0% Sortal reasoning (32 calls)
% 34.63/34.83 ; 0.001 0% Purity testing (1 call)
% 34.63/34.83 ; 0.360 1% Other
% 34.63/34.83 ; 34.344 Total
% 34.63/34.83 ; 34.356 Real time
% 34.63/34.83 ;
% 34.63/34.83 ; Term-hash-array has 105,698 terms in all.
% 34.63/34.83 ; Feature-vector-row-index has 616 entries (616 at peak, 655 added, 39 deleted).
% 34.63/34.83 ; Feature-vector-row-index has 2,239 nodes (2,239 at peak, 2,428 added, 189 deleted).
% 34.63/34.83 ; Retrieved 1,351 possibly forward subsuming rows in 893 calls.
% 34.63/34.83 ; Retrieved 548 possibly backward subsumed rows in 655 calls.
% 34.63/34.83 ; Path-index has 98,341 entries (98,341 at peak, 109,642 added, 11,301 deleted).
% 34.63/34.83 ; Path-index has 2,291 nodes (2,291 at peak, 2,328 added, 37 deleted).
% 34.63/34.83 ; Trie-index has 98,341 entries (98,341 at peak, 109,642 added, 11,301 deleted).
% 34.63/34.83 ; Trie-index has 515,874 nodes (515,874 at peak, 578,969 added, 63,095 deleted).
% 34.63/34.83 ; Retrieved 157,340 generalization terms in 957,955 calls.
% 34.63/34.83 ; Retrieved 44,968 instance terms in 44,642 calls.
% 34.63/34.83 ; Retrieved 23,428,363 unifiable terms in 801,993 calls.
% 34.63/34.83 ;
% 34.63/34.83 ; The agenda of rows to process has 13134 entries:
% 34.63/34.83 ; 75 with value 16 465 with value 23 12 with value 28
% 34.63/34.83 ; 1 with value 17 2 with value 24 4612 with value 29
% 34.63/34.83 ; 112 with value 18 2509 with value 25 129 with value 30
% 34.63/34.83 ; 6 with value 19 48 with value 26 256 with value 31
% 34.63/34.83 ; 176 with value 20 1219 with value 27 3073 with value 33
% 34.63/34.83 ; 439 with value 21
% 34.63/34.83 ; The agenda of rows to give has 40062 entries:
% 34.63/34.83 ; 10 with value (4 7) 785 with value (4 17) 3737 with value (4 27)
% 34.63/34.83 ; 117 with value (4 8) 266 with value (4 18) 982 with value (4 28)
% 34.63/34.83 ; 70 with value (4 9) 1003 with value (4 19) 7645 with value (4 29)
% 34.63/34.83 ; 63 with value (4 10) 518 with value (4 20) 1510 with value (4 30)
% 34.63/34.83 ; 291 with value (4 11) 1813 with value (4 21) 1020 with value (4 31)
% 34.63/34.83 ; 229 with value (4 12) 32 with value (4 22) 1710 with value (4 32)
% 34.63/34.83 ; 500 with value (4 13) 3221 with value (4 23) 4212 with value (4 33)
% 34.63/34.83 ; 313 with value (4 14) 327 with value (4 24) 649 with value (4 34)
% 34.63/34.83 ; 501 with value (4 15) 5266 with value (4 25) 1740 with value (4 36)
% 34.63/34.83 ; 685 with value (4 16) 847 with value (4 26)
% 34.63/34.83 Evaluation took:
% 34.63/34.83 34.361 seconds of real time
% 34.63/34.83 33.14134 seconds of user run time
% 34.63/34.83 1.208837 seconds of system run time
% 34.63/34.83 [Run times include 5.37 seconds GC run time.]
% 34.63/34.83 0 calls to %EVAL
% 34.63/34.83 0 page faults and
% 34.63/34.83 1,546,977,952 bytes consed.
% 34.63/34.83 :PROOF-FOUND
% 34.63/34.83 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T14:43:19
% 34.63/34.83 :PROOF-FOUND
% 34.63/34.83 *
%------------------------------------------------------------------------------