TSTP Solution File: NUM463+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM463+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 14:10:45 EDT 2022
% Result : Theorem 26.54s 26.76s
% Output : Refutation 26.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of clauses : 22 ( 14 unt; 4 nHn; 22 RR)
% Number of literals : 38 ( 15 equ; 13 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
cnf(2,axiom,
aNaturalNumber0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
cnf(10,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
cnf(12,axiom,
( ~ aNaturalNumber0(X)
| sdtasdt0(X,sz10) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
cnf(14,axiom,
( ~ aNaturalNumber0(X)
| sdtasdt0(X,sz00) = sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
cnf(31,axiom,
( ~ aNaturalNumber0(X)
| sdtlseqdt0(X,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).
cnf(38,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ aNaturalNumber0(Z)
| X = sz00
| Y = Z
| ~ sdtlseqdt0(Y,Z)
| sdtlseqdt0(sdtasdt0(X,Y),sdtasdt0(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
cnf(40,axiom,
( ~ aNaturalNumber0(X)
| X = sz00
| X = sz10
| sdtlseqdt0(sz10,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
cnf(41,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__987) ).
cnf(42,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__987) ).
cnf(43,negated_conjecture,
xm != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(44,negated_conjecture,
~ sdtlseqdt0(xn,sdtasdt0(xn,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(45,plain,
sdtlseqdt0(xn,xn),
inference('HYPERRESOLVE',[status(thm)],[31,42]) ).
cnf(48,plain,
sdtlseqdt0(sz00,sz00),
inference('HYPERRESOLVE',[status(thm)],[31,1]) ).
cnf(56,plain,
sdtasdt0(xn,sz10) = xn,
inference('HYPERRESOLVE',[status(thm)],[12,42]) ).
cnf(64,plain,
sdtasdt0(xm,sz00) = sz00,
inference('HYPERRESOLVE',[status(thm)],[14,41]) ).
cnf(90,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference('HYPERRESOLVE',[status(thm)],[10,42,41]) ).
cnf(92,plain,
( xm = sz10
| sdtlseqdt0(sz10,xm) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[40,41]),43]) ).
cnf(23863,plain,
( xm = sz10
| xn = sz00 ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[38,92,42,2,41]),44,56,theory(equality)]) ).
cnf(24956,plain,
~ sdtlseqdt0(xn,sdtasdt0(xm,xn)),
inference('PARAMODULATE',[status(thm)],[44,90,theory(equality)]) ).
cnf(34630,plain,
xm = sz10,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[24956,23863,theory(equality)]),48,64,theory(equality)]) ).
cnf(34631,plain,
$false,
inference('REWRITE',[status(thm)],[44,45,56,34630,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM463+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n018.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
% 0.13/0.33 % DateTime : Fri Jul 8 00:01:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T00:01:25
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-08T00:01:25
% 26.54/26.76
% 26.54/26.76
% 26.54/26.76 #||
% 26.54/26.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.54/26.76 % SZS output start Refutation
% See solution above
% 26.54/26.76 ||#
% 26.54/26.76
% 26.54/26.76 ; Summary of computation:
% 26.54/26.76 ; 155992 formulas have been input or derived (from 156 formulas).
% 26.54/26.76 ; 34631 (22%) were retained. Of these,
% 26.54/26.76 ; 31792 (92%) were simplified or subsumed later,
% 26.54/26.76 ; 2839 ( 8%) are still being kept.
% 26.54/26.76 ;
% 26.54/26.76 ; Run time in seconds excluding printing time:
% 26.54/26.76 ; 0.008 0% Read assertion file (1 call)
% 26.54/26.76 ; 0.001 0% Assert (28 calls)
% 26.54/26.76 ; 3.800 14% Process new row (128,205 calls)
% 26.54/26.76 ; 14.376 55% Resolution (310 calls)
% 26.54/26.76 ; 0.016 0% Paramodulation (155 calls)
% 26.54/26.76 ; 0.000 0% Factoring (5 calls)
% 26.54/26.76 ; 0.008 0% Condensing (1,889 calls)
% 26.54/26.76 ; 0.240 1% Forward subsumption (1,889 calls)
% 26.54/26.76 ; 0.053 0% Backward subsumption (1,438 calls)
% 26.54/26.76 ; 0.014 0% Clause clause subsumption (12,851 calls)
% 26.54/26.76 ; 2.962 11% Forward simplification (91,442 calls)
% 26.54/26.76 ; 4.110 16% Backward simplification (34,631 calls)
% 26.54/26.76 ; 0.248 1% Ordering (33,053 calls)
% 26.54/26.76 ; 0.001 0% Sortal reasoning (32 calls)
% 26.54/26.76 ; 0.000 0% Purity testing (1 call)
% 26.54/26.76 ; 0.453 2% Other
% 26.54/26.76 ; 26.290 Total
% 26.54/26.76 ; 26.298 Real time
% 26.54/26.76 ;
% 26.54/26.76 ; Term-hash-array has 78,459 terms in all.
% 26.54/26.76 ; Feature-vector-row-index has 290 entries (1,325 at peak, 1,438 added, 1,148 deleted).
% 26.54/26.76 ; Feature-vector-row-index has 897 nodes (3,472 at peak, 3,797 added, 2,900 deleted).
% 26.54/26.76 ; Retrieved 9,602 possibly forward subsuming rows in 1,889 calls.
% 26.54/26.76 ; Retrieved 4,024 possibly backward subsumed rows in 1,438 calls.
% 26.54/26.76 ; Path-index has 5,972 entries (75,652 at peak, 80,081 added, 74,109 deleted).
% 26.54/26.76 ; Path-index has 1,812 nodes (2,539 at peak, 2,709 added, 897 deleted).
% 26.54/26.76 ; Trie-index has 5,972 entries (75,652 at peak, 80,081 added, 74,109 deleted).
% 26.54/26.76 ; Trie-index has 35,692 nodes (462,233 at peak, 486,823 added, 451,131 deleted).
% 26.54/26.76 ; Retrieved 152,410 generalization terms in 774,427 calls.
% 26.54/26.76 ; Retrieved 33,495 instance terms in 33,192 calls.
% 26.54/26.76 ; Retrieved 14,777,951 unifiable terms in 600,330 calls.
% 26.54/26.76 ;
% 26.54/26.76 ; The agenda of backward simplifiable rows to process has 22748 entries:
% 26.54/26.76 ; 22748 with value 0
% 26.54/26.76 ; The agenda of rows to process has 35 entries:
% 26.54/26.76 ; 22 with value 14 9 with value 15 4 with value 16
% 26.54/26.76 ; The agenda of rows to give has 2750 entries:
% 26.54/26.76 ; 1 with value (4 7) 82 with value (4 21) 132 with value (4 33)
% 26.54/26.76 ; 4 with value (4 10) 68 with value (4 22) 183 with value (4 34)
% 26.54/26.76 ; 35 with value (4 11) 152 with value (4 23) 58 with value (4 35)
% 26.54/26.76 ; 28 with value (4 12) 124 with value (4 24) 42 with value (4 36)
% 26.54/26.76 ; 67 with value (4 13) 150 with value (4 25) 16 with value (4 37)
% 26.54/26.76 ; 59 with value (4 14) 149 with value (4 26) 57 with value (4 38)
% 26.54/26.76 ; 59 with value (4 15) 131 with value (4 27) 15 with value (4 39)
% 26.54/26.76 ; 80 with value (4 16) 131 with value (4 28) 34 with value (4 40)
% 26.54/26.76 ; 86 with value (4 17) 190 with value (4 29) 14 with value (4 41)
% 26.54/26.76 ; 101 with value (4 18) 187 with value (4 30) 9 with value (4 42)
% 26.54/26.76 ; 93 with value (4 19) 29 with value (4 31) 8 with value (4 44)
% 26.54/26.76 ; 90 with value (4 20) 85 with value (4 32) 1 with value (4 46)
% 26.54/26.76 Evaluation took:
% 26.54/26.76 26.301 seconds of real time
% 26.54/26.76 24.976406 seconds of user run time
% 26.54/26.76 1.317666 seconds of system run time
% 26.54/26.76 [Run times include 4.821 seconds GC run time.]
% 26.54/26.76 0 calls to %EVAL
% 26.54/26.76 0 page faults and
% 26.54/26.76 1,498,352,200 bytes consed.
% 26.54/26.76 :PROOF-FOUND
% 26.54/26.76 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T00:01:51
% 26.54/26.76 :PROOF-FOUND
% 26.54/26.76 *
%------------------------------------------------------------------------------