TSTP Solution File: NUM525+3 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM525+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 1.05s 1.27s
% Output : Refutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of clauses : 25 ( 22 unt; 1 nHn; 25 RR)
% Number of literals : 36 ( 21 equ; 15 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(48,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| X = sz00
| ~ doDivides0(X,Y)
| Z = sdtsldt0(Y,X)
| ~ aNaturalNumber0(Z)
| 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(78,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3014) ).
cnf(86,hypothesis,
aNaturalNumber0('SKOLEMAAAV8'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3046) ).
cnf(87,hypothesis,
xn = sdtasdt0(xp,'SKOLEMAAAV8'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3046) ).
cnf(88,hypothesis,
doDivides0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3046) ).
cnf(89,hypothesis,
aNaturalNumber0(xq),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3059) ).
cnf(90,hypothesis,
xn = sdtasdt0(xp,xq),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3059) ).
cnf(91,hypothesis,
xq = sdtsldt0(xn,xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3059) ).
cnf(92,negated_conjecture,
sdtasdt0(xp,sdtasdt0(xm,xm)) != sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(93,plain,
sdtasdt0(xn,xn) != sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
inference('REWRITE',[status(thm)],[92,78,theory(equality)]) ).
cnf(280,plain,
sdtasdt0(xq,xp) = xn,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,89,67]),90,theory(equality)]) ).
cnf(954,plain,
sdtasdt0(xn,'SKOLEMAAAV8') = sdtasdt0(xq,xn),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,89,67,86]),87,280,theory(equality)]) ).
cnf(1072,plain,
sdtasdt0(xn,xq) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,67,89,89]),90,theory(equality)]) ).
cnf(1073,plain,
sdtasdt0(xn,xn) != sdtasdt0(xp,sdtasdt0(xn,xq)),
inference('REWRITE',[status(thm)],[93,1072,theory(equality)]) ).
cnf(1077,plain,
sdtasdt0(xn,xn) = sdtasdt0(xp,sdtasdt0(xq,xn)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,67,89,65]),90,theory(equality)]) ).
cnf(1104,plain,
sdtasdt0(sdtasdt0(xp,xn),xq) = sdtasdt0(xp,sdtasdt0(xn,xq)),
inference('HYPERRESOLVE',[status(thm)],[11,67,65,89]) ).
cnf(1105,plain,
sdtasdt0(xn,xn) != sdtasdt0(sdtasdt0(xp,xn),xq),
inference('REWRITE',[status(thm)],[1073,1104,theory(equality)]) ).
cnf(1106,plain,
sdtasdt0(sdtasdt0(xp,xn),'SKOLEMAAAV8') = sdtasdt0(xn,xn),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,67,65,86]),1077,954,theory(equality)]) ).
cnf(2416,plain,
'SKOLEMAAAV8' = xq,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[48,67,65,70,88,86,87]),91,theory(equality)]) ).
cnf(2420,plain,
$false,
inference('REWRITE',[status(thm)],[1106,1105,2416,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM525+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n011.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 15:45:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T15:45:22
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-05T15:45:22
% 1.05/1.27
% 1.05/1.27
% 1.05/1.27 #||
% 1.05/1.27 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.05/1.27 % SZS output start Refutation
% See solution above
% 1.05/1.28 ||#
% 1.05/1.28
% 1.05/1.28 ; Summary of computation:
% 1.05/1.28 ; 6868 formulas have been input or derived (from 86 formulas).
% 1.05/1.28 ; 2420 (35%) were retained. Of these,
% 1.05/1.28 ; 976 (40%) were simplified or subsumed later,
% 1.05/1.28 ; 1444 (60%) are still being kept.
% 1.05/1.28 ;
% 1.05/1.28 ; Run time in seconds excluding printing time:
% 1.05/1.28 ; 0.015 2% Read assertion file (1 call)
% 1.05/1.28 ; 0.004 0% Assert (46 calls)
% 1.05/1.28 ; 0.131 16% Process new row (6,449 calls)
% 1.05/1.28 ; 0.429 53% Resolution (170 calls)
% 1.05/1.28 ; 0.003 0% Paramodulation (85 calls)
% 1.05/1.28 ; 0.002 0% Condensing (224 calls)
% 1.05/1.28 ; 0.008 1% Forward subsumption (224 calls)
% 1.05/1.28 ; 0.001 0% Backward subsumption (167 calls)
% 1.05/1.28 ; 0.000 0% Clause clause subsumption (133 calls)
% 1.05/1.28 ; 0.111 14% Forward simplification (6,449 calls)
% 1.05/1.28 ; 0.055 7% Backward simplification (2,419 calls)
% 1.05/1.28 ; 0.009 1% Ordering (2,210 calls)
% 1.05/1.28 ; 0.001 0% Sortal reasoning (32 calls)
% 1.05/1.28 ; 0.000 0% Purity testing (1 call)
% 1.05/1.28 ; 0.040 5% Other
% 1.05/1.28 ; 0.809 Total
% 1.05/1.28 ; 0.812 Real time
% 1.05/1.28 ;
% 1.05/1.28 ; Term-hash-array has 5,298 terms in all.
% 1.05/1.28 ; Feature-vector-row-index has 131 entries (152 at peak, 167 added, 36 deleted).
% 1.05/1.28 ; Feature-vector-row-index has 576 nodes (637 at peak, 683 added, 107 deleted).
% 1.05/1.28 ; Retrieved 127 possibly forward subsuming rows in 224 calls.
% 1.05/1.28 ; Retrieved 28 possibly backward subsumed rows in 167 calls.
% 1.05/1.28 ; Path-index has 3,229 entries (4,737 at peak, 5,539 added, 2,310 deleted).
% 1.05/1.28 ; Path-index has 749 nodes (807 at peak, 863 added, 114 deleted).
% 1.05/1.28 ; Trie-index has 3,229 entries (4,737 at peak, 5,539 added, 2,310 deleted).
% 1.05/1.28 ; Trie-index has 9,246 nodes (13,783 at peak, 16,551 added, 7,305 deleted).
% 1.05/1.28 ; Retrieved 9,977 generalization terms in 32,786 calls.
% 1.05/1.28 ; Retrieved 2,255 instance terms in 2,251 calls.
% 1.05/1.28 ; Retrieved 817,994 unifiable terms in 38,597 calls.
% 1.05/1.28 ;
% 1.05/1.28 ; The agenda of backward simplifiable rows to process has 354 entries:
% 1.05/1.28 ; 354 with value 0
% 1.05/1.28 ; The agenda of rows to process has 6 entries:
% 1.05/1.28 ; 2 with value 12 1 with value 32 1 with value 37
% 1.05/1.28 ; 2 with value 29
% 1.05/1.28 ; The agenda of input rows to give has 8 entries:
% 1.05/1.28 ; 1 with value 31 2 with value 46 1 with value 51
% 1.05/1.28 ; 1 with value 40 3 with value 47
% 1.05/1.28 ; The agenda of rows to give has 1353 entries:
% 1.05/1.28 ; 2 with value (4 4) 112 with value (4 11) 90 with value (4 18)
% 1.05/1.28 ; 14 with value (4 5) 12 with value (4 12) 2 with value (4 19)
% 1.05/1.28 ; 2 with value (4 6) 240 with value (4 13) 75 with value (4 20)
% 1.05/1.28 ; 52 with value (4 7) 18 with value (4 14) 1 with value (4 21)
% 1.05/1.28 ; 133 with value (4 8) 394 with value (4 15) 1 with value (4 22)
% 1.05/1.28 ; 18 with value (4 9) 143 with value (4 17) 1 with value (4 25)
% 1.05/1.28 ; 43 with value (4 10)
% 1.05/1.28 Evaluation took:
% 1.05/1.28 0.812 seconds of real time
% 1.05/1.28 0.772753 seconds of user run time
% 1.05/1.28 0.038803 seconds of system run time
% 1.05/1.28 [Run times include 0.039 seconds GC run time.]
% 1.05/1.28 0 calls to %EVAL
% 1.05/1.28 0 page faults and
% 1.05/1.28 58,646,192 bytes consed.
% 1.05/1.28 :PROOF-FOUND
% 1.05/1.28 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T15:45:23
% 1.11/1.28 :PROOF-FOUND
% 1.11/1.28 *
%------------------------------------------------------------------------------