TSTP Solution File: NUM839+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM839+1 : TPTP v8.1.0. Released v4.1.0.
% 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 14:14:32 EDT 2022
% Result : Theorem 9.16s 9.33s
% Output : Refutation 9.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 12 ( 7 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ greater(vd328,vd329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(204), 332, 0)') ).
cnf(2,axiom,
greater(vplus(vd328,vd330),vplus(vd329,vd330)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(antec(204), 331, 0)') ).
cnf(27,axiom,
( ~ greater(X,Y)
| X = vplus(Y,'SKOLEMAAAV2'(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
cnf(28,axiom,
( greater(X,Y)
| X != vplus(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
cnf(32,axiom,
( X = Y
| vplus(X,Z) != vplus(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
cnf(68,plain,
vd328 != vplus(vd329,X),
inference('UR-RESOLVE',[status(thm)],[28,1]) ).
cnf(101,plain,
vplus(vd328,vd330) = vplus(vd329,vplus(vd330,'SKOLEMAAAV2'(vplus(vd328,vd330),vplus(vd329,vd330)))),
inference('HYPERRESOLVE',[status(thm)],[27,2]) ).
cnf(226,plain,
vplus(vd328,X) != vplus(vd329,vplus(Y,X)),
inference('UR-RESOLVE',[status(thm)],[32,68]) ).
cnf(227,plain,
$false,
inference('REWRITE',[status(thm)],[101,226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM839+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jul 6 09:09:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T09:09:38
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-06T09:09:38
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.19/0.49 ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.19/0.49 ; Declaring vplus to be commutative.
% 9.16/9.33 ; Declaring vplus to be associative-commutative.
% 9.16/9.33
% 9.16/9.33 #||
% 9.16/9.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.16/9.33 % SZS output start Refutation
% See solution above
% 9.16/9.33 ||#
% 9.16/9.33
% 9.16/9.33 ; Summary of computation:
% 9.16/9.33 ; 2584 formulas have been input or derived (from 55 formulas).
% 9.16/9.33 ; 227 ( 9%) were retained. Of these,
% 9.16/9.33 ; 5 ( 2%) were simplified or subsumed later,
% 9.16/9.33 ; 222 (98%) are still being kept.
% 9.16/9.33 ;
% 9.16/9.33 ; Run time in seconds excluding printing time:
% 9.16/9.33 ; 0.007 0% Read assertion file (1 call)
% 9.16/9.33 ; 0.002 0% Assert (37 calls)
% 9.16/9.33 ; 0.022 0% Process new row (2,489 calls)
% 9.16/9.33 ; 8.540 96% Resolution (108 calls)
% 9.16/9.33 ; 0.008 0% Paramodulation (54 calls)
% 9.16/9.33 ; 0.000 0% Factoring (3 calls)
% 9.16/9.33 ; 0.002 0% Embedding (11 calls)
% 9.16/9.33 ; 0.073 1% Condensing (524 calls)
% 9.16/9.33 ; 0.012 0% Forward subsumption (524 calls)
% 9.16/9.33 ; 0.000 0% Backward subsumption (138 calls)
% 9.16/9.33 ; 0.044 0% Clause clause subsumption (680 calls)
% 9.16/9.33 ; 0.117 1% Forward simplification (2,478 calls)
% 9.16/9.33 ; 0.001 0% Backward simplification (216 calls)
% 9.16/9.33 ; 0.001 0% Ordering (503 calls)
% 9.16/9.33 ; 0.000 0% Ordering ac (136 calls)
% 9.16/9.33 ; 0.000 0% Sortal reasoning (32 calls)
% 9.16/9.33 ; 0.001 0% Purity testing (1 call)
% 9.16/9.33 ; 0.030 0% Other
% 9.16/9.33 ; 8.860 Total
% 9.16/9.33 ; 8.861 Real time
% 9.16/9.33 ;
% 9.16/9.33 ; Term-hash-array has 373 terms in all.
% 9.16/9.33 ; Feature-vector-row-index has 138 entries (138 at peak, 138 added, 0 deleted).
% 9.16/9.33 ; Feature-vector-row-index has 432 nodes (432 at peak, 432 added, 0 deleted).
% 9.16/9.33 ; Retrieved 1,783 possibly forward subsuming rows in 524 calls.
% 9.16/9.33 ; Retrieved 14 possibly backward subsumed rows in 138 calls.
% 9.16/9.33 ; Path-index has 365 entries (370 at peak, 377 added, 12 deleted).
% 9.16/9.33 ; Path-index has 573 nodes (585 at peak, 589 added, 16 deleted).
% 9.16/9.33 ; Trie-index has 365 entries (370 at peak, 377 added, 12 deleted).
% 9.16/9.33 ; Trie-index has 307 nodes (308 at peak, 313 added, 6 deleted).
% 9.16/9.33 ; Retrieved 84,922 generalization terms in 24,874 calls.
% 9.16/9.33 ; Retrieved 132 instance terms in 77 calls.
% 9.16/9.33 ; Retrieved 14,673 unifiable terms in 1,094 calls.
% 9.16/9.33 ;
% 9.16/9.33 ; The agenda of rows to process has 23 entries:
% 9.16/9.33 ; 2 with value 13 8 with value 17 1 with value 24
% 9.16/9.33 ; 3 with value 14 1 with value 20 1 with value 28
% 9.16/9.33 ; 3 with value 16 4 with value 21
% 9.16/9.33 ; The agenda of rows to give has 167 entries:
% 9.16/9.33 ; 14 with value (4 8) 3 with value (4 20) 6 with value (4 36)
% 9.16/9.33 ; 6 with value (4 9) 1 with value (4 21) 5 with value (4 37)
% 9.16/9.33 ; 12 with value (4 10) 4 with value (4 22) 4 with value (4 40)
% 9.16/9.33 ; 15 with value (4 11) 5 with value (4 23) 2 with value (4 42)
% 9.16/9.33 ; 5 with value (4 12) 1 with value (4 24) 2 with value (4 43)
% 9.16/9.33 ; 9 with value (4 13) 5 with value (4 25) 1 with value (4 44)
% 9.16/9.33 ; 10 with value (4 14) 4 with value (4 26) 1 with value (4 45)
% 9.16/9.33 ; 4 with value (4 15) 3 with value (4 27) 1 with value (4 48)
% 9.16/9.33 ; 8 with value (4 16) 3 with value (4 28) 2 with value (4 51)
% 9.16/9.33 ; 6 with value (4 17) 3 with value (4 29) 2 with value (4 61)
% 9.16/9.33 ; 6 with value (4 18) 3 with value (4 31) 2 with value (4 67)
% 9.16/9.33 ; 7 with value (4 19) 2 with value (4 34)
% 9.16/9.33 Evaluation took:
% 9.16/9.33 8.862 seconds of real time
% 9.16/9.33 8.799007 seconds of user run time
% 9.16/9.33 0.063016 seconds of system run time
% 9.16/9.33 [Run times include 0.184 seconds GC run time.]
% 9.16/9.33 0 calls to %EVAL
% 9.16/9.33 0 page faults and
% 9.16/9.33 802,723,600 bytes consed.
% 9.16/9.33 :PROOF-FOUND
% 9.16/9.33 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T09:09:47
% 9.16/9.33 :PROOF-FOUND
% 9.16/9.33 *
%------------------------------------------------------------------------------