TSTP Solution File: NUM843+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM843+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 14:14:35 EDT 2022
% Result : Theorem 8.57s 8.78s
% Output : Refutation 8.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 1 nHn; 7 RR)
% Number of literals : 12 ( 3 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ greater(vd390,vd391),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(244, 394, 0)') ).
cnf(2,axiom,
~ leq(vd390,vd391),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(243), 393, 0)') ).
cnf(23,axiom,
( leq(X,Y)
| ~ less(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
cnf(24,axiom,
( leq(X,Y)
| X != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
cnf(30,axiom,
( X = Y
| greater(X,Y)
| less(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
cnf(54,plain,
~ less(vd390,vd391),
inference('UR-RESOLVE',[status(thm)],[23,2]) ).
cnf(57,plain,
vd390 != vd391,
inference('UR-RESOLVE',[status(thm)],[24,2]) ).
cnf(228,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[30,54,1]),57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : NUM843+2 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n007.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 : Thu Jul 7 07:24:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T07:24:14
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-07T07:24:14
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.20/0.50 ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.20/0.50 ; Declaring vplus to be commutative.
% 8.57/8.78 ; Declaring vplus to be associative-commutative.
% 8.57/8.78
% 8.57/8.78 #||
% 8.57/8.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.57/8.78 % SZS output start Refutation
% See solution above
% 8.57/8.78 ||#
% 8.57/8.78
% 8.57/8.78 ; Summary of computation:
% 8.57/8.78 ; 2590 formulas have been input or derived (from 53 formulas).
% 8.57/8.78 ; 228 ( 9%) were retained. Of these,
% 8.57/8.78 ; 5 ( 2%) were simplified or subsumed later,
% 8.57/8.78 ; 223 (98%) are still being kept.
% 8.57/8.78 ;
% 8.57/8.78 ; Run time in seconds:
% 8.57/8.78 ; 0.009 0% Read assertion file (1 call)
% 8.57/8.78 ; 0.002 0% Assert (46 calls)
% 8.57/8.78 ; 0.020 0% Process new row (2,526 calls)
% 8.57/8.78 ; 7.950 96% Resolution (104 calls)
% 8.57/8.78 ; 0.011 0% Paramodulation (52 calls)
% 8.57/8.78 ; 0.000 0% Factoring (3 calls)
% 8.57/8.78 ; 0.000 0% Embedding (8 calls)
% 8.57/8.78 ; 0.085 1% Condensing (692 calls)
% 8.57/8.78 ; 0.018 0% Forward subsumption (692 calls)
% 8.57/8.78 ; 0.001 0% Backward subsumption (161 calls)
% 8.57/8.78 ; 0.046 1% Clause clause subsumption (927 calls)
% 8.57/8.78 ; 0.128 2% Forward simplification (2,518 calls)
% 8.57/8.78 ; 0.001 0% Backward simplification (220 calls)
% 8.57/8.78 ; 0.001 0% Ordering (268 calls)
% 8.57/8.78 ; 0.001 0% Ordering ac (57 calls)
% 8.57/8.78 ; 0.000 0% Sortal reasoning (32 calls)
% 8.57/8.78 ; 0.000 0% Purity testing (1 call)
% 8.57/8.78 ; 0.028 0% Other
% 8.57/8.78 ; 8.301 Total
% 8.57/8.78 ; 8.302 Real time
% 8.57/8.78 ;
% 8.57/8.78 ; Term-hash-array has 397 terms in all.
% 8.57/8.78 ; Feature-vector-row-index has 160 entries (160 at peak, 161 added, 1 deleted).
% 8.57/8.78 ; Feature-vector-row-index has 527 nodes (527 at peak, 530 added, 3 deleted).
% 8.57/8.78 ; Retrieved 2,528 possibly forward subsuming rows in 692 calls.
% 8.57/8.78 ; Retrieved 41 possibly backward subsumed rows in 161 calls.
% 8.57/8.78 ; Path-index has 389 entries (389 at peak, 400 added, 11 deleted).
% 8.57/8.78 ; Path-index has 520 nodes (520 at peak, 529 added, 9 deleted).
% 8.57/8.78 ; Trie-index has 389 entries (389 at peak, 400 added, 11 deleted).
% 8.57/8.78 ; Trie-index has 289 nodes (289 at peak, 297 added, 8 deleted).
% 8.57/8.78 ; Retrieved 82,818 generalization terms in 26,288 calls.
% 8.57/8.78 ; Retrieved 132 instance terms in 58 calls.
% 8.57/8.78 ; Retrieved 16,132 unifiable terms in 1,094 calls.
% 8.57/8.78 ;
% 8.57/8.78 ; The agenda of rows to process has 7 entries:
% 8.57/8.78 ; 2 with value 6 1 with value 9 1 with value 11
% 8.57/8.78 ; 2 with value 8 1 with value 10
% 8.57/8.78 ; The agenda of rows to give has 170 entries:
% 8.57/8.78 ; 6 with value (4 5) 8 with value (4 18) 2 with value (4 34)
% 8.57/8.78 ; 2 with value (4 6) 7 with value (4 19) 6 with value (4 36)
% 8.57/8.78 ; 8 with value (4 7) 1 with value (4 21) 3 with value (4 37)
% 8.57/8.78 ; 5 with value (4 8) 4 with value (4 22) 4 with value (4 40)
% 8.57/8.78 ; 4 with value (4 9) 4 with value (4 23) 6 with value (4 42)
% 8.57/8.78 ; 6 with value (4 10) 1 with value (4 24) 6 with value (4 43)
% 8.57/8.78 ; 12 with value (4 11) 5 with value (4 25) 1 with value (4 44)
% 8.57/8.78 ; 3 with value (4 12) 4 with value (4 26) 1 with value (4 45)
% 8.57/8.78 ; 12 with value (4 13) 3 with value (4 27) 1 with value (4 48)
% 8.57/8.78 ; 10 with value (4 14) 1 with value (4 28) 2 with value (4 51)
% 8.57/8.78 ; 1 with value (4 15) 11 with value (4 29) 2 with value (4 61)
% 8.57/8.78 ; 7 with value (4 16) 3 with value (4 31) 2 with value (4 67)
% 8.57/8.78 ; 6 with value (4 17)
% 8.57/8.78 Evaluation took:
% 8.57/8.78 8.302 seconds of real time
% 8.57/8.78 8.248937 seconds of user run time
% 8.57/8.78 0.053134 seconds of system run time
% 8.57/8.78 [Run times include 0.183 seconds GC run time.]
% 8.57/8.78 0 calls to %EVAL
% 8.57/8.78 0 page faults and
% 8.57/8.78 807,818,960 bytes consed.
% 8.57/8.78 :PROOF-FOUND
% 8.57/8.78 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T07:24:22
% 8.57/8.78 :PROOF-FOUND
% 8.57/8.78 *
%------------------------------------------------------------------------------