TSTP Solution File: NUM422+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM422+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 14:10:23 EDT 2022
% Result : Theorem 3.14s 3.32s
% Output : Refutation 3.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of clauses : 26 ( 16 unt; 0 nHn; 26 RR)
% Number of literals : 41 ( 17 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 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(1,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
cnf(2,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
cnf(3,axiom,
( ~ aInteger0(X)
| aInteger0(smndt0(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
cnf(5,axiom,
( ~ aInteger0(X)
| ~ aInteger0(Y)
| aInteger0(sdtasdt0(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).
cnf(6,axiom,
( ~ aInteger0(X)
| ~ aInteger0(Y)
| ~ aInteger0(Z)
| sdtpldt0(X,sdtpldt0(Y,Z)) = sdtpldt0(sdtpldt0(X,Y),Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
cnf(8,axiom,
( ~ aInteger0(X)
| sdtpldt0(X,sz00) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
cnf(9,axiom,
( ~ aInteger0(X)
| X = sdtpldt0(sz00,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
cnf(10,axiom,
( ~ aInteger0(X)
| sdtpldt0(X,smndt0(X)) = sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
cnf(11,axiom,
( ~ aInteger0(X)
| sz00 = sdtpldt0(smndt0(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
cnf(15,axiom,
( ~ aInteger0(X)
| X = sdtasdt0(sz10,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).
cnf(17,axiom,
( ~ aInteger0(X)
| ~ aInteger0(Y)
| ~ aInteger0(Z)
| sdtasdt0(sdtpldt0(X,Y),Z) = sdtpldt0(sdtasdt0(X,Z),sdtasdt0(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistrib) ).
cnf(19,axiom,
( ~ aInteger0(X)
| sz00 = sdtasdt0(sz00,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
cnf(20,hypothesis,
aInteger0(xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__446) ).
cnf(21,negated_conjecture,
sdtasdt0(smndt0(sz10),xa) != smndt0(xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(22,plain,
aInteger0(smndt0(xa)),
inference('HYPERRESOLVE',[status(thm)],[3,20]) ).
cnf(23,plain,
aInteger0(smndt0(sz10)),
inference('HYPERRESOLVE',[status(thm)],[3,2]) ).
cnf(33,plain,
xa = sdtasdt0(sz10,xa),
inference('HYPERRESOLVE',[status(thm)],[15,20]) ).
cnf(37,plain,
sz00 = sdtasdt0(sz00,xa),
inference('HYPERRESOLVE',[status(thm)],[19,20]) ).
cnf(43,plain,
sdtpldt0(xa,smndt0(xa)) = sz00,
inference('HYPERRESOLVE',[status(thm)],[10,20]) ).
cnf(47,plain,
sz00 = sdtpldt0(smndt0(sz10),sz10),
inference('HYPERRESOLVE',[status(thm)],[11,2]) ).
cnf(121,plain,
smndt0(xa) = sdtpldt0(sz00,smndt0(xa)),
inference('HYPERRESOLVE',[status(thm)],[9,22]) ).
cnf(223,plain,
aInteger0(sdtasdt0(smndt0(sz10),xa)),
inference('HYPERRESOLVE',[status(thm)],[5,23,20]) ).
cnf(244,plain,
sdtpldt0(smndt0(sz10),sz00) = smndt0(sz10),
inference('HYPERRESOLVE',[status(thm)],[8,23]) ).
cnf(280,plain,
sz00 = sdtpldt0(sdtasdt0(smndt0(sz10),xa),xa),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,23,2,20]),33,37,47,theory(equality)]) ).
cnf(281,plain,
sdtasdt0(smndt0(sz10),xa) = sdtpldt0(sdtasdt0(smndt0(sz10),xa),sz00),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,23,1,20]),37,244,theory(equality)]) ).
cnf(10262,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,223,20,22]),21,121,280,281,43,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : NUM422+1 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.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 : Thu Jul 7 08:13:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-07T08:13:24
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-07T08:13:24
% 3.14/3.32
% 3.14/3.32
% 3.14/3.32 #||
% 3.14/3.32 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.14/3.32 % SZS output start Refutation
% See solution above
% 3.14/3.32 ||#
% 3.14/3.32
% 3.14/3.32 ; Summary of computation:
% 3.14/3.32 ; 39018 formulas have been input or derived (from 56 formulas).
% 3.14/3.32 ; 10262 (26%) were retained. Of these,
% 3.14/3.32 ; 1035 (10%) were simplified or subsumed later,
% 3.14/3.32 ; 9227 (90%) are still being kept.
% 3.14/3.32 ;
% 3.14/3.32 ; Run time in seconds excluding printing time:
% 3.14/3.32 ; 0.004 0% Read assertion file (1 call)
% 3.14/3.32 ; 0.001 0% Assert (17 calls)
% 3.14/3.32 ; 1.058 37% Process new row (33,717 calls)
% 3.14/3.32 ; 0.651 23% Resolution (110 calls)
% 3.14/3.32 ; 0.002 0% Paramodulation (55 calls)
% 3.14/3.32 ; 0.000 0% Condensing (17 calls)
% 3.14/3.32 ; 0.000 0% Forward subsumption (17 calls)
% 3.14/3.32 ; 0.001 0% Backward subsumption (17 calls)
% 3.14/3.32 ; 0.000 0% Clause clause subsumption (16 calls)
% 3.14/3.32 ; 0.782 27% Forward simplification (28,272 calls)
% 3.14/3.32 ; 0.157 5% Backward simplification (10,262 calls)
% 3.14/3.32 ; 0.096 3% Ordering (10,072 calls)
% 3.14/3.32 ; 0.000 0% Sortal reasoning (32 calls)
% 3.14/3.32 ; 0.000 0% Purity testing (1 call)
% 3.14/3.32 ; 0.112 4% Other
% 3.14/3.32 ; 2.864 Total
% 3.14/3.32 ; 2.867 Real time
% 3.14/3.32 ;
% 3.14/3.32 ; Term-hash-array has 23,340 terms in all.
% 3.14/3.32 ; Feature-vector-row-index has 17 entries (17 at peak, 17 added, 0 deleted).
% 3.14/3.32 ; Feature-vector-row-index has 43 nodes (43 at peak, 43 added, 0 deleted).
% 3.14/3.32 ; Retrieved 9 possibly forward subsuming rows in 17 calls.
% 3.14/3.32 ; Retrieved 7 possibly backward subsumed rows in 17 calls.
% 3.14/3.32 ; Path-index has 21,846 entries (21,846 at peak, 23,944 added, 2,098 deleted).
% 3.14/3.32 ; Path-index has 1,863 nodes (1,863 at peak, 1,991 added, 128 deleted).
% 3.14/3.32 ; Trie-index has 21,846 entries (21,846 at peak, 23,944 added, 2,098 deleted).
% 3.14/3.32 ; Trie-index has 143,880 nodes (143,880 at peak, 156,291 added, 12,411 deleted).
% 3.14/3.32 ; Retrieved 56,601 generalization terms in 266,046 calls.
% 3.14/3.32 ; Retrieved 10,263 instance terms in 10,244 calls.
% 3.14/3.32 ; Retrieved 465,074 unifiable terms in 27,365 calls.
% 3.14/3.32 ;
% 3.14/3.32 ; The agenda of rows to process has 5278 entries:
% 3.14/3.32 ; 194 with value 27 176 with value 34 60 with value 41
% 3.14/3.32 ; 8 with value 28 616 with value 35 332 with value 42
% 3.14/3.32 ; 384 with value 29 384 with value 36 32 with value 43
% 3.14/3.32 ; 84 with value 30 524 with value 37 80 with value 44
% 3.14/3.32 ; 648 with value 31 264 with value 38 40 with value 45
% 3.14/3.32 ; 80 with value 32 304 with value 39 4 with value 46
% 3.14/3.32 ; 720 with value 33 336 with value 40 8 with value 47
% 3.14/3.32 ; The agenda of rows to give has 9174 entries:
% 3.14/3.32 ; 7 with value (4 10) 331 with value (4 23) 553 with value (4 35)
% 3.14/3.32 ; 33 with value (4 11) 274 with value (4 24) 293 with value (4 36)
% 3.14/3.32 ; 30 with value (4 12) 369 with value (4 25) 441 with value (4 37)
% 3.14/3.33 ; 59 with value (4 13) 323 with value (4 26) 333 with value (4 38)
% 3.14/3.33 ; 47 with value (4 14) 687 with value (4 27) 134 with value (4 39)
% 3.14/3.33 ; 79 with value (4 15) 289 with value (4 28) 250 with value (4 40)
% 3.14/3.33 ; 163 with value (4 16) 700 with value (4 29) 114 with value (4 41)
% 3.14/3.33 ; 137 with value (4 17) 330 with value (4 30) 97 with value (4 42)
% 3.14/3.33 ; 129 with value (4 18) 575 with value (4 31) 34 with value (4 43)
% 3.14/3.33 ; 159 with value (4 19) 380 with value (4 32) 30 with value (4 44)
% 3.14/3.33 ; 252 with value (4 20) 780 with value (4 33) 6 with value (4 45)
% 3.14/3.33 ; 258 with value (4 21) 372 with value (4 34) 1 with value (4 46)
% 3.14/3.33 ; 125 with value (4 22)
% 3.14/3.33 Evaluation took:
% 3.14/3.33 2.869 seconds of real time
% 3.14/3.33 2.659851 seconds of user run time
% 3.14/3.33 0.208849 seconds of system run time
% 3.14/3.33 [Run times include 0.498 seconds GC run time.]
% 3.14/3.33 0 calls to %EVAL
% 3.14/3.33 0 page faults and
% 3.14/3.33 236,869,448 bytes consed.
% 3.14/3.33 :PROOF-FOUND
% 3.14/3.33 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T08:13:27
% 3.14/3.33 :PROOF-FOUND
% 3.14/3.33 *
%------------------------------------------------------------------------------