TSTP Solution File: NUM477+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM477+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 14:10:53 EDT 2022
% Result : Theorem 8.03s 8.22s
% Output : Refutation 8.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 14 ( 10 unt; 1 nHn; 14 RR)
% Number of literals : 24 ( 7 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(14,axiom,
( ~ aNaturalNumber0(X)
| sdtasdt0(X,sz00) = sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
cnf(41,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| X = sz00
| sdtlseqdt0(Y,sdtasdt0(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
cnf(42,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ doDivides0(X,Y)
| aNaturalNumber0('SKOLEMAAAV2'(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
cnf(43,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ doDivides0(X,Y)
| Y = sdtasdt0(X,'SKOLEMAAAV2'(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
cnf(51,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1494) ).
cnf(52,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1494) ).
cnf(53,hypothesis,
doDivides0(xm,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1494_04) ).
cnf(54,hypothesis,
xn != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1494_04) ).
cnf(55,negated_conjecture,
~ sdtlseqdt0(xm,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(75,plain,
sdtasdt0(xm,sz00) = sz00,
inference('HYPERRESOLVE',[status(thm)],[14,51]) ).
cnf(105,plain,
aNaturalNumber0('SKOLEMAAAV2'(xn,xm)),
inference('HYPERRESOLVE',[status(thm)],[42,51,52,53]) ).
cnf(123,plain,
xn = sdtasdt0(xm,'SKOLEMAAAV2'(xn,xm)),
inference('HYPERRESOLVE',[status(thm)],[43,51,52,53]) ).
cnf(13561,plain,
'SKOLEMAAAV2'(xn,xm) = sz00,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[41,105,51]),55,123,theory(equality)]) ).
cnf(13562,plain,
$false,
inference('REWRITE',[status(thm)],[123,54,75,13561,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM477+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n017.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 : Tue Jul 5 14:25:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T14:25:58
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-05T14:25:58
% 0.19/0.51 WARNING:
% 0.19/0.51 |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 8.03/8.22
% 8.03/8.22
% 8.03/8.22 #||
% 8.03/8.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.03/8.22 % SZS output start Refutation
% See solution above
% 8.03/8.22 ||#
% 8.03/8.22
% 8.03/8.22 ; Summary of computation:
% 8.03/8.22 ; 43328 formulas have been input or derived (from 77 formulas).
% 8.03/8.22 ; 13562 (31%) were retained. Of these,
% 8.03/8.22 ; 1132 ( 8%) were simplified or subsumed later,
% 8.03/8.22 ; 12430 (92%) are still being kept.
% 8.03/8.22 ;
% 8.03/8.22 ; Run time in seconds excluding printing time:
% 8.03/8.22 ; 0.011 0% Read assertion file (1 call)
% 8.03/8.22 ; 0.003 0% Assert (37 calls)
% 8.03/8.22 ; 1.636 21% Process new row (35,750 calls)
% 8.03/8.22 ; 4.353 56% Resolution (152 calls)
% 8.03/8.22 ; 0.003 0% Paramodulation (76 calls)
% 8.03/8.22 ; 0.001 0% Condensing (361 calls)
% 8.03/8.22 ; 0.011 0% Forward subsumption (361 calls)
% 8.03/8.22 ; 0.003 0% Backward subsumption (257 calls)
% 8.03/8.22 ; 0.000 0% Clause clause subsumption (717 calls)
% 8.03/8.22 ; 1.278 17% Forward simplification (35,749 calls)
% 8.03/8.22 ; 0.215 3% Backward simplification (13,562 calls)
% 8.03/8.22 ; 0.077 1% Ordering (12,712 calls)
% 8.03/8.22 ; 0.000 0% Sortal reasoning (32 calls)
% 8.03/8.22 ; 0.000 0% Purity testing (1 call)
% 8.03/8.22 ; 0.146 2% Other
% 8.03/8.22 ; 7.737 Total
% 8.03/8.22 ; 7.738 Real time
% 8.03/8.22 ;
% 8.03/8.22 ; Term-hash-array has 31,036 terms in all.
% 8.03/8.22 ; Feature-vector-row-index has 224 entries (230 at peak, 257 added, 33 deleted).
% 8.03/8.22 ; Feature-vector-row-index has 479 nodes (495 at peak, 615 added, 136 deleted).
% 8.03/8.22 ; Retrieved 985 possibly forward subsuming rows in 361 calls.
% 8.03/8.22 ; Retrieved 505 possibly backward subsumed rows in 257 calls.
% 8.03/8.22 ; Path-index has 29,661 entries (29,815 at peak, 31,849 added, 2,188 deleted).
% 8.03/8.22 ; Path-index has 1,470 nodes (1,512 at peak, 1,528 added, 58 deleted).
% 8.03/8.22 ; Trie-index has 29,661 entries (29,815 at peak, 31,849 added, 2,188 deleted).
% 8.03/8.22 ; Trie-index has 165,225 nodes (165,644 at peak, 177,334 added, 12,109 deleted).
% 8.03/8.22 ; Retrieved 60,571 generalization terms in 309,610 calls.
% 8.03/8.22 ; Retrieved 13,402 instance terms in 13,304 calls.
% 8.03/8.22 ; Retrieved 4,590,452 unifiable terms in 246,506 calls.
% 8.03/8.22 ;
% 8.03/8.22 ; The agenda of backward simplifiable rows to process has 85 entries:
% 8.03/8.22 ; 85 with value 0
% 8.03/8.22 ; The agenda of rows to process has 6317 entries:
% 8.03/8.22 ; 2 with value 19 153 with value 23 2 with value 28
% 8.03/8.22 ; 130 with value 20 1216 with value 25 2496 with value 29
% 8.03/8.22 ; 194 with value 21 396 with value 27 1728 with value 33
% 8.03/8.22 ; The agenda of rows to give has 12354 entries:
% 8.03/8.22 ; 1 with value (4 7) 382 with value (4 17) 900 with value (4 27)
% 8.03/8.22 ; 52 with value (4 8) 73 with value (4 18) 316 with value (4 28)
% 8.03/8.22 ; 22 with value (4 9) 260 with value (4 19) 2729 with value (4 29)
% 8.03/8.22 ; 10 with value (4 10) 200 with value (4 20) 295 with value (4 30)
% 8.03/8.22 ; 104 with value (4 11) 383 with value (4 21) 168 with value (4 31)
% 8.03/8.22 ; 66 with value (4 12) 5 with value (4 22) 449 with value (4 32)
% 8.03/8.22 ; 233 with value (4 13) 1023 with value (4 23) 1611 with value (4 33)
% 8.03/8.22 ; 76 with value (4 14) 112 with value (4 24) 532 with value (4 34)
% 8.03/8.22 ; 187 with value (4 15) 1560 with value (4 25) 220 with value (4 36)
% 8.03/8.22 ; 198 with value (4 16) 187 with value (4 26)
% 8.03/8.22 Evaluation took:
% 8.03/8.22 7.74 seconds of real time
% 8.03/8.22 7.380833 seconds of user run time
% 8.03/8.22 0.358981 seconds of system run time
% 8.03/8.22 [Run times include 1.1 seconds GC run time.]
% 8.03/8.22 0 calls to %EVAL
% 8.03/8.22 0 page faults and
% 8.03/8.22 433,898,640 bytes consed.
% 8.03/8.22 :PROOF-FOUND
% 8.03/8.22 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T14:26:06
% 8.03/8.22 :PROOF-FOUND
% 8.03/8.22 *
%------------------------------------------------------------------------------