TSTP Solution File: NUM835+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM835+2 : TPTP v8.1.0. Released v4.1.0.
% 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 14:14:30 EDT 2022
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 2 nHn; 5 RR)
% Number of literals : 14 ( 10 equ; 5 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
vd165 != vplus(vd151,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dis(case_distinction(conseq(110)))') ).
cnf(2,negated_conjecture,
vd151 != vplus(vd165,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dis(case_distinction(conseq(110)))') ).
cnf(3,negated_conjecture,
vd151 != vd165,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dis(case_distinction(conseq(110)))') ).
cnf(4,axiom,
( ~ m(X)
| Y = X
| Y = vplus(X,'SKOLEMAAAV1'(Y,X))
| X = vplus(Y,'SKOLEMAAAV2'(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(105), 0), 1)') ).
cnf(5,axiom,
( m(X)
| Y != X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(105), 0), 1)') ).
cnf(13,plain,
m(X),
inference('HYPERRESOLVE',[status(thm)],[5,theory(equality)]) ).
cnf(14,plain,
( Y = X
| X = vplus(Y,'SKOLEMAAAV1'(X,Y))
| Y = vplus(X,'SKOLEMAAAV2'(Y,X)) ),
inference('REWRITE',[status(thm)],[4,13]) ).
cnf(22,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[14,3,1,2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM835+2 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jul 6 07:48:08 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-06T07:48:08
% 0.21/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-06T07:48:08
% 0.21/0.52
% 0.21/0.52 ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.21/0.52 ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.21/0.52 ; Declaring vplus to be commutative.
% 0.21/0.55 ; Declaring vplus to be associative-commutative.
% 0.21/0.55
% 0.21/0.55 #||
% 0.21/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.55 % SZS output start Refutation
% See solution above
% 0.21/0.55 ||#
% 0.21/0.55
% 0.21/0.55 ; Summary of computation:
% 0.21/0.55 ; 158 formulas have been input or derived (from 12 formulas).
% 0.21/0.55 ; 22 (14%) were retained. Of these,
% 0.21/0.55 ; 3 (14%) were simplified or subsumed later,
% 0.21/0.55 ; 19 (86%) are still being kept.
% 0.21/0.55 ;
% 0.21/0.55 ; Run time in seconds:
% 0.21/0.55 ; 0.005 11% Read assertion file (1 call)
% 0.21/0.55 ; 0.002 4% Assert (24 calls)
% 0.21/0.55 ; 0.004 9% Process new row (117 calls)
% 0.21/0.55 ; 0.003 7% Resolution (22 calls)
% 0.21/0.55 ; 0.005 11% Paramodulation (11 calls)
% 0.21/0.55 ; 0.000 0% Factoring (2 calls)
% 0.21/0.55 ; 0.000 0% Embedding (2 calls)
% 0.21/0.55 ; 0.000 0% Condensing (8 calls)
% 0.21/0.55 ; 0.000 0% Forward subsumption (8 calls)
% 0.21/0.55 ; 0.000 0% Backward subsumption (7 calls)
% 0.21/0.55 ; 0.000 0% Clause clause subsumption (3 calls)
% 0.21/0.55 ; 0.002 4% Forward simplification (115 calls)
% 0.21/0.55 ; 0.000 0% Backward simplification (20 calls)
% 0.21/0.55 ; 0.000 0% Ordering (81 calls)
% 0.21/0.56 ; 0.001 2% Ordering ac (46 calls)
% 0.21/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.56 ; 0.000 0% Purity testing (1 call)
% 0.21/0.56 ; 0.024 52% Other
% 0.21/0.56 ; 0.046 Total
% 0.21/0.56 ; 0.047 Real time
% 0.21/0.56 ;
% 0.21/0.56 ; Term-hash-array has 54 terms in all.
% 0.21/0.56 ; Feature-vector-row-index has 4 entries (4 at peak, 7 added, 3 deleted).
% 0.21/0.56 ; Feature-vector-row-index has 23 nodes (23 at peak, 34 added, 11 deleted).
% 0.21/0.56 ; Retrieved 3 possibly forward subsuming rows in 8 calls.
% 0.21/0.56 ; Retrieved 0 possibly backward subsumed rows in 7 calls.
% 0.21/0.56 ; Path-index has 50 entries (50 at peak, 59 added, 9 deleted).
% 0.21/0.56 ; Path-index has 98 nodes (98 at peak, 110 added, 12 deleted).
% 0.21/0.56 ; Trie-index has 50 entries (50 at peak, 59 added, 9 deleted).
% 0.21/0.56 ; Trie-index has 62 nodes (62 at peak, 70 added, 8 deleted).
% 0.21/0.56 ; Retrieved 870 generalization terms in 553 calls.
% 0.21/0.56 ; Retrieved 15 instance terms in 12 calls.
% 0.21/0.56 ; Retrieved 339 unifiable terms in 97 calls.
% 0.21/0.56 ;
% 0.21/0.56 ; The agenda of rows to process has 38 entries:
% 0.21/0.56 ; 1 with value 5 1 with value 24 2 with value 47
% 0.21/0.56 ; 4 with value 11 2 with value 27 1 with value 48
% 0.21/0.56 ; 2 with value 15 1 with value 34 1 with value 49
% 0.21/0.56 ; 12 with value 16 1 with value 37 1 with value 56
% 0.21/0.56 ; 3 with value 19 2 with value 38 1 with value 58
% 0.21/0.56 ; 2 with value 23 1 with value 46
% 0.21/0.56 ; The agenda of rows to give has 8 entries:
% 0.21/0.56 ; 1 with value (4 4) 2 with value (4 10) 1 with value (4 12)
% 0.21/0.56 ; 2 with value (4 7) 1 with value (4 11) 1 with value (4 18)
% 0.21/0.56 Evaluation took:
% 0.21/0.56 0.048 seconds of real time
% 0.21/0.56 0.043506 seconds of user run time
% 0.21/0.56 0.003196 seconds of system run time
% 0.21/0.56 0 calls to %EVAL
% 0.21/0.56 0 page faults and
% 0.21/0.56 2,468,832 bytes consed.
% 0.21/0.56 :PROOF-FOUND
% 0.21/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T07:48:08
% 0.21/0.56 :PROOF-FOUND
% 0.21/0.56 *
%------------------------------------------------------------------------------