TSTP Solution File: NUM839+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM839+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 14:14:33 EDT 2022
% Result : Theorem 8.14s 8.30s
% Output : Refutation 8.14s
% 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(227,plain,
vplus(vd328,X) != vplus(vd329,vplus(Y,X)),
inference('UR-RESOLVE',[status(thm)],[32,68]) ).
cnf(228,plain,
$false,
inference('REWRITE',[status(thm)],[101,227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : NUM839+2 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Thu Jul 7 10:12:04 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.51 #<PACKAGE "SNARK-USER">
% 0.21/0.51 *
% 0.21/0.51 SNARK-TPTP-OPTIONS
% 0.21/0.51 *
% 0.21/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51 (USE-FACTORING :POS)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51 *
% 0.21/0.51 "."
% 0.21/0.51 *
% 0.21/0.51 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T10:12:05
% 0.21/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-07T10:12:05
% 0.21/0.53
% 0.21/0.53 ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.21/0.53 ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.21/0.53 ; Declaring vplus to be commutative.
% 8.14/8.30 ; Declaring vplus to be associative-commutative.
% 8.14/8.30
% 8.14/8.30 #||
% 8.14/8.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.14/8.30 % SZS output start Refutation
% See solution above
% 8.14/8.30 ||#
% 8.14/8.30
% 8.14/8.30 ; Summary of computation:
% 8.14/8.30 ; 2582 formulas have been input or derived (from 55 formulas).
% 8.14/8.30 ; 228 ( 9%) were retained. Of these,
% 8.14/8.30 ; 6 ( 3%) were simplified or subsumed later,
% 8.14/8.30 ; 222 (97%) are still being kept.
% 8.14/8.30 ;
% 8.14/8.30 ; Run time in seconds excluding printing time:
% 8.14/8.30 ; 0.007 0% Read assertion file (1 call)
% 8.14/8.30 ; 0.002 0% Assert (35 calls)
% 8.14/8.30 ; 0.026 0% Process new row (2,489 calls)
% 8.14/8.30 ; 7.476 96% Resolution (108 calls)
% 8.14/8.30 ; 0.010 0% Paramodulation (54 calls)
% 8.14/8.30 ; 0.000 0% Factoring (3 calls)
% 8.14/8.30 ; 0.000 0% Embedding (11 calls)
% 8.14/8.30 ; 0.066 1% Condensing (523 calls)
% 8.14/8.30 ; 0.008 0% Forward subsumption (523 calls)
% 8.14/8.30 ; 0.002 0% Backward subsumption (138 calls)
% 8.14/8.30 ; 0.044 1% Clause clause subsumption (679 calls)
% 8.14/8.30 ; 0.118 2% Forward simplification (2,478 calls)
% 8.14/8.30 ; 0.001 0% Backward simplification (217 calls)
% 8.14/8.30 ; 0.004 0% Ordering (508 calls)
% 8.14/8.30 ; 0.000 0% Ordering ac (136 calls)
% 8.14/8.30 ; 0.000 0% Sortal reasoning (32 calls)
% 8.14/8.30 ; 0.000 0% Purity testing (1 call)
% 8.14/8.30 ; 0.029 0% Other
% 8.14/8.30 ; 7.793 Total
% 8.14/8.30 ; 7.795 Real time
% 8.14/8.30 ;
% 8.14/8.30 ; Term-hash-array has 376 terms in all.
% 8.14/8.30 ; Feature-vector-row-index has 138 entries (138 at peak, 138 added, 0 deleted).
% 8.14/8.30 ; Feature-vector-row-index has 432 nodes (432 at peak, 432 added, 0 deleted).
% 8.14/8.30 ; Retrieved 1,782 possibly forward subsuming rows in 523 calls.
% 8.14/8.30 ; Retrieved 14 possibly backward subsumed rows in 138 calls.
% 8.14/8.30 ; Path-index has 365 entries (370 at peak, 381 added, 16 deleted).
% 8.14/8.30 ; Path-index has 573 nodes (585 at peak, 594 added, 21 deleted).
% 8.14/8.30 ; Trie-index has 365 entries (370 at peak, 381 added, 16 deleted).
% 8.14/8.30 ; Trie-index has 308 nodes (309 at peak, 322 added, 14 deleted).
% 8.14/8.30 ; Retrieved 84,960 generalization terms in 24,876 calls.
% 8.14/8.30 ; Retrieved 134 instance terms in 78 calls.
% 8.14/8.30 ; Retrieved 15,059 unifiable terms in 1,102 calls.
% 8.14/8.30 ;
% 8.14/8.30 ; The agenda of rows to process has 23 entries:
% 8.14/8.30 ; 2 with value 13 8 with value 17 1 with value 24
% 8.14/8.30 ; 3 with value 14 1 with value 20 1 with value 28
% 8.14/8.30 ; 3 with value 16 4 with value 21
% 8.14/8.30 ; The agenda of rows to give has 167 entries:
% 8.14/8.30 ; 14 with value (4 8) 3 with value (4 20) 6 with value (4 36)
% 8.14/8.30 ; 6 with value (4 9) 1 with value (4 21) 5 with value (4 37)
% 8.14/8.30 ; 11 with value (4 10) 4 with value (4 22) 4 with value (4 40)
% 8.14/8.30 ; 16 with value (4 11) 5 with value (4 23) 2 with value (4 42)
% 8.14/8.30 ; 5 with value (4 12) 1 with value (4 24) 2 with value (4 43)
% 8.14/8.30 ; 9 with value (4 13) 5 with value (4 25) 1 with value (4 44)
% 8.14/8.30 ; 10 with value (4 14) 4 with value (4 26) 1 with value (4 45)
% 8.14/8.30 ; 4 with value (4 15) 3 with value (4 27) 1 with value (4 48)
% 8.14/8.30 ; 8 with value (4 16) 3 with value (4 28) 2 with value (4 51)
% 8.14/8.30 ; 6 with value (4 17) 3 with value (4 29) 2 with value (4 61)
% 8.14/8.30 ; 6 with value (4 18) 3 with value (4 31) 2 with value (4 67)
% 8.14/8.30 ; 7 with value (4 19) 2 with value (4 34)
% 8.14/8.30 Evaluation took:
% 8.14/8.30 7.795 seconds of real time
% 8.14/8.30 7.740112 seconds of user run time
% 8.14/8.30 0.054714 seconds of system run time
% 8.14/8.30 [Run times include 0.168 seconds GC run time.]
% 8.14/8.30 0 calls to %EVAL
% 8.14/8.30 0 page faults and
% 8.14/8.30 802,723,240 bytes consed.
% 8.14/8.30 :PROOF-FOUND
% 8.14/8.30 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T10:12:12
% 8.14/8.30 :PROOF-FOUND
% 8.14/8.30 *
%------------------------------------------------------------------------------