TSTP Solution File: NUM454+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM454+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 14:10:40 EDT 2022
% Result : Theorem 0.53s 0.72s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 33 ( 24 unt; 1 nHn; 33 RR)
% Number of literals : 50 ( 29 equ; 18 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntOne) ).
cnf(3,axiom,
( ~ aInteger0(X)
| aInteger0(smndt0(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
cnf(6,axiom,
( ~ aInteger0(X)
| ~ aInteger0(Y)
| ~ aInteger0(Z)
| sdtpldt0(X,sdtpldt0(Y,Z)) = sdtpldt0(sdtpldt0(X,Y),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
cnf(7,axiom,
( ~ aInteger0(X)
| ~ aInteger0(Y)
| sdtpldt0(X,Y) = sdtpldt0(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
cnf(9,axiom,
( ~ aInteger0(X)
| X = sdtpldt0(sz00,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
cnf(10,axiom,
( ~ aInteger0(X)
| sdtpldt0(X,smndt0(X)) = sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).
cnf(11,axiom,
( ~ aInteger0(X)
| sz00 = sdtpldt0(smndt0(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).
cnf(14,axiom,
( ~ aInteger0(X)
| sdtasdt0(X,sz10) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulOne) ).
cnf(16,axiom,
( ~ aInteger0(X)
| ~ aInteger0(Y)
| ~ aInteger0(Z)
| sdtasdt0(X,sdtpldt0(Y,Z)) = sdtpldt0(sdtasdt0(X,Y),sdtasdt0(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistrib) ).
cnf(22,axiom,
( ~ aInteger0(X)
| ~ aInteger0(Y)
| sdtasdt0(X,Y) != sz00
| X = sz00
| Y = sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroDiv) ).
cnf(117,hypothesis,
aInteger0(xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2171) ).
cnf(118,hypothesis,
xp != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2171) ).
cnf(125,negated_conjecture,
sdtpldt0(sz10,xp) = smndt0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(126,negated_conjecture,
sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(129,plain,
aInteger0(smndt0(xp)),
inference('HYPERRESOLVE',[status(thm)],[3,117]) ).
cnf(130,plain,
aInteger0(smndt0(sz10)),
inference('HYPERRESOLVE',[status(thm)],[3,2]) ).
cnf(135,plain,
xp = sdtpldt0(sz00,xp),
inference('HYPERRESOLVE',[status(thm)],[9,117]) ).
cnf(136,plain,
sz10 = sdtpldt0(sz00,sz10),
inference('HYPERRESOLVE',[status(thm)],[9,2]) ).
cnf(137,plain,
sdtasdt0(xp,sz10) = xp,
inference('HYPERRESOLVE',[status(thm)],[14,117]) ).
cnf(153,plain,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference('HYPERRESOLVE',[status(thm)],[10,2]) ).
cnf(155,plain,
sz00 = sdtpldt0(smndt0(xp),xp),
inference('HYPERRESOLVE',[status(thm)],[11,117]) ).
cnf(156,plain,
sz00 = sdtpldt0(smndt0(sz10),sz10),
inference('HYPERRESOLVE',[status(thm)],[11,2]) ).
cnf(165,plain,
sdtpldt0(xp,sz10) = smndt0(sz10),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,117,2]),125,theory(equality)]) ).
cnf(196,plain,
sdtasdt0(xp,xp) != sz00,
inference('UR-RESOLVE',[status(thm)],[22,117,117,118,118]) ).
cnf(205,plain,
sz00 = sdtpldt0(sdtpldt0(sz10,sz10),xp),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,2,2,117]),153,125,theory(equality)]) ).
cnf(220,plain,
sdtasdt0(xp,sdtpldt0(sz10,sz10)) = sdtpldt0(xp,xp),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,117,2,2]),137,theory(equality)]) ).
cnf(275,plain,
sdtpldt0(smndt0(xp),sz10) = smndt0(sz10),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,129,2]),126,theory(equality)]) ).
cnf(297,plain,
sdtpldt0(smndt0(xp),smndt0(sz10)) = sz10,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,129,117,2]),136,155,165,theory(equality)]) ).
cnf(298,plain,
sz10 = sdtpldt0(smndt0(sz10),xp),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,129,2,117]),275,297,125,theory(equality)]) ).
cnf(415,plain,
sdtpldt0(smndt0(sz10),smndt0(sz10)) = sdtpldt0(sz10,sz10),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,130,117,2]),298,165,theory(equality)]) ).
cnf(416,plain,
sdtpldt0(sz10,sz10) = xp,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,130,2,117]),135,156,415,125,theory(equality)]) ).
cnf(417,plain,
sz00 = sdtpldt0(xp,xp),
inference('REWRITE',[status(thm)],[205,416,theory(equality)]) ).
cnf(418,plain,
$false,
inference('REWRITE',[status(thm)],[220,196,417,416,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM454+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n014.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 : Wed Jul 6 13:03:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45 (USE-FACTORING :POS)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45 *
% 0.19/0.45 "."
% 0.19/0.45 *
% 0.19/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T13:03:22
% 0.19/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-06T13:03:22
% 0.53/0.72
% 0.53/0.72
% 0.53/0.72 #||
% 0.53/0.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.72 % SZS output start Refutation
% See solution above
% 0.53/0.72 ||#
% 0.53/0.72
% 0.53/0.72 ; Summary of computation:
% 0.53/0.72 ; 1896 formulas have been input or derived (from 125 formulas).
% 0.53/0.72 ; 418 (22%) were retained. Of these,
% 0.53/0.72 ; 91 (22%) were simplified or subsumed later,
% 0.53/0.72 ; 327 (78%) are still being kept.
% 0.53/0.72 ;
% 0.53/0.72 ; Run time in seconds excluding printing time:
% 0.53/0.72 ; 0.013 5% Read assertion file (1 call)
% 0.53/0.72 ; 0.005 2% Assert (49 calls)
% 0.53/0.72 ; 0.030 11% Process new row (1,252 calls)
% 0.53/0.72 ; 0.139 52% Resolution (248 calls)
% 0.53/0.72 ; 0.002 1% Paramodulation (124 calls)
% 0.53/0.72 ; 0.006 2% Condensing (183 calls)
% 0.53/0.72 ; 0.002 1% Forward subsumption (183 calls)
% 0.53/0.72 ; 0.005 2% Backward subsumption (176 calls)
% 0.53/0.72 ; 0.000 0% Clause clause subsumption (80 calls)
% 0.53/0.72 ; 0.023 9% Forward simplification (1,252 calls)
% 0.53/0.72 ; 0.006 2% Backward simplification (413 calls)
% 0.53/0.72 ; 0.001 0% Ordering (306 calls)
% 0.53/0.72 ; 0.000 0% Sortal reasoning (32 calls)
% 0.53/0.72 ; 0.000 0% Purity testing (1 call)
% 0.53/0.72 ; 0.035 13% Other
% 0.53/0.72 ; 0.267 Total
% 0.53/0.72 ; 0.269 Real time
% 0.53/0.72 ;
% 0.53/0.72 ; Term-hash-array has 691 terms in all.
% 0.53/0.72 ; Feature-vector-row-index has 176 entries (176 at peak, 176 added, 0 deleted).
% 0.53/0.72 ; Feature-vector-row-index has 893 nodes (893 at peak, 893 added, 0 deleted).
% 0.53/0.72 ; Retrieved 78 possibly forward subsuming rows in 183 calls.
% 0.53/0.72 ; Retrieved 21 possibly backward subsumed rows in 176 calls.
% 0.53/0.72 ; Path-index has 542 entries (646 at peak, 704 added, 162 deleted).
% 0.53/0.72 ; Path-index has 745 nodes (783 at peak, 825 added, 80 deleted).
% 0.53/0.72 ; Trie-index has 542 entries (646 at peak, 704 added, 162 deleted).
% 0.53/0.72 ; Trie-index has 1,353 nodes (1,833 at peak, 2,028 added, 675 deleted).
% 0.53/0.72 ; Retrieved 2,515 generalization terms in 5,625 calls.
% 0.53/0.72 ; Retrieved 236 instance terms in 236 calls.
% 0.53/0.72 ; Retrieved 206,425 unifiable terms in 18,607 calls.
% 0.53/0.72 ;
% 0.53/0.72 ; The agenda of backward simplifiable rows to process has 43 entries:
% 0.53/0.72 ; 43 with value 0
% 0.53/0.72 ; The agenda of rows to process has 589 entries:
% 0.53/0.72 ; 95 with value 19 37 with value 22 97 with value 24
% 0.53/0.72 ; 216 with value 21 96 with value 23 48 with value 26
% 0.53/0.72 ; The agenda of rows to give has 202 entries:
% 0.53/0.72 ; 3 with value (4 6) 12 with value (4 12) 11 with value (4 18)
% 0.53/0.72 ; 8 with value (4 7) 4 with value (4 13) 8 with value (4 19)
% 0.53/0.72 ; 21 with value (4 8) 19 with value (4 14) 4 with value (4 21)
% 0.53/0.72 ; 4 with value (4 9) 15 with value (4 15) 1 with value (4 22)
% 0.53/0.72 ; 18 with value (4 10) 19 with value (4 16) 1 with value (4 23)
% 0.53/0.72 ; 20 with value (4 11) 32 with value (4 17) 2 with value (4 24)
% 0.53/0.72 Evaluation took:
% 0.53/0.72 0.27 seconds of real time
% 0.53/0.72 0.251944 seconds of user run time
% 0.53/0.72 0.018258 seconds of system run time
% 0.53/0.72 [Run times include 0.008 seconds GC run time.]
% 0.53/0.72 0 calls to %EVAL
% 0.53/0.72 0 page faults and
% 0.53/0.72 19,148,544 bytes consed.
% 0.53/0.72 :PROOF-FOUND
% 0.53/0.72 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T13:03:23
% 0.53/0.72 :PROOF-FOUND
% 0.53/0.72 *
%------------------------------------------------------------------------------