%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM835+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 7.77s 7.95s
% Output : Refutation 7.77s
% 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(9,axiom,
( ~ m(X)
| Y = X
| Y = vplus(X,'SKOLEMAAAU2'(Y,X))
| X = vplus(Y,'SKOLEMAAAU3'(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(105), 0), 1)') ).
cnf(10,axiom,
( m(X)
| Y != X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(105), 0), 1)') ).
cnf(25,plain,
m(X),
inference('HYPERRESOLVE',[status(thm)],[10,theory(equality)]) ).
cnf(26,plain,
( Y = X
| X = vplus(Y,'SKOLEMAAAU2'(X,Y))
| Y = vplus(X,'SKOLEMAAAU3'(Y,X)) ),
inference('REWRITE',[status(thm)],[9,25]) ).
cnf(57,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[26,3,1,2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM835+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n005.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 09:55:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-06T09:55:52
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-06T09:55:52
% 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.
% 7.77/7.95 ; Declaring vplus to be associative-commutative.
% 7.77/7.95
% 7.77/7.95 #||
% 7.77/7.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.77/7.95 % SZS output start Refutation
% See solution above
% 7.77/7.95 ||#
% 7.77/7.95
% 7.77/7.95 ; Summary of computation:
% 7.77/7.95 ; 1785 formulas have been input or derived (from 22 formulas).
% 7.77/7.95 ; 57 ( 3%) were retained. Of these,
% 7.77/7.95 ; 8 (14%) were simplified or subsumed later,
% 7.77/7.95 ; 49 (86%) are still being kept.
% 7.77/7.95 ;
% 7.77/7.95 ; Run time in seconds excluding printing time:
% 7.77/7.95 ; 0.008 0% Read assertion file (1 call)
% 7.77/7.95 ; 0.001 0% Assert (39 calls)
% 7.77/7.95 ; 0.005 0% Process new row (789 calls)
% 7.77/7.95 ; 7.314 98% Resolution (42 calls)
% 7.77/7.95 ; 0.005 0% Paramodulation (21 calls)
% 7.77/7.95 ; 0.000 0% Factoring (2 calls)
% 7.77/7.95 ; 0.000 0% Embedding (2 calls)
% 7.77/7.95 ; 0.051 1% Condensing (225 calls)
% 7.77/7.95 ; 0.003 0% Forward subsumption (225 calls)
% 7.77/7.95 ; 0.000 0% Backward subsumption (28 calls)
% 7.77/7.95 ; 0.026 0% Clause clause subsumption (229 calls)
% 7.77/7.95 ; 0.027 0% Forward simplification (787 calls)
% 7.77/7.95 ; 0.001 0% Backward simplification (55 calls)
% 7.77/7.95 ; 0.000 0% Ordering (122 calls)
% 7.77/7.95 ; 0.001 0% Ordering ac (46 calls)
% 7.77/7.95 ; 0.000 0% Sortal reasoning (32 calls)
% 7.77/7.95 ; 0.000 0% Purity testing (1 call)
% 7.77/7.95 ; 0.031 0% Other
% 7.77/7.95 ; 7.473 Total
% 7.77/7.95 ; 7.475 Real time
% 7.77/7.95 ;
% 7.77/7.95 ; Term-hash-array has 103 terms in all.
% 7.77/7.95 ; Feature-vector-row-index has 23 entries (23 at peak, 28 added, 5 deleted).
% 7.77/7.95 ; Feature-vector-row-index has 88 nodes (88 at peak, 111 added, 23 deleted).
% 7.77/7.95 ; Retrieved 818 possibly forward subsuming rows in 225 calls.
% 7.77/7.95 ; Retrieved 0 possibly backward subsumed rows in 28 calls.
% 7.77/7.95 ; Path-index has 94 entries (94 at peak, 108 added, 14 deleted).
% 7.77/7.95 ; Path-index has 115 nodes (115 at peak, 133 added, 18 deleted).
% 7.77/7.95 ; Trie-index has 94 entries (94 at peak, 108 added, 14 deleted).
% 7.77/7.95 ; Trie-index has 96 nodes (96 at peak, 113 added, 17 deleted).
% 7.77/7.95 ; Retrieved 6,897 generalization terms in 5,040 calls.
% 7.77/7.95 ; Retrieved 53 instance terms in 26 calls.
% 7.77/7.95 ; Retrieved 8,059 unifiable terms in 653 calls.
% 7.77/7.95 ;
% 7.77/7.95 ; The agenda of rows to process has 966 entries:
% 7.77/7.95 ; 2 with value 5 11 with value 32 2 with value 47
% 7.77/7.95 ; 4 with value 11 3 with value 33 65 with value 48
% 7.77/7.95 ; 7 with value 15 74 with value 34 9 with value 49
% 7.77/7.95 ; 36 with value 16 24 with value 35 46 with value 51
% 7.77/7.95 ; 3 with value 19 32 with value 36 16 with value 52
% 7.77/7.95 ; 30 with value 20 25 with value 37 42 with value 54
% 7.77/7.95 ; 1 with value 22 10 with value 38 1 with value 56
% 7.77/7.95 ; 17 with value 23 13 with value 39 43 with value 57
% 7.77/7.95 ; 1 with value 24 75 with value 40 1 with value 58
% 7.77/7.95 ; 4 with value 25 12 with value 41 16 with value 60
% 7.77/7.95 ; 9 with value 26 69 with value 42 16 with value 61
% 7.77/7.95 ; 3 with value 27 26 with value 43 29 with value 63
% 7.77/7.95 ; 44 with value 28 3 with value 44 16 with value 67
% 7.77/7.95 ; 27 with value 29 34 with value 45 8 with value 69
% 7.77/7.95 ; 6 with value 31 51 with value 46
% 7.77/7.95 ; The agenda of rows to give has 30 entries:
% 7.77/7.95 ; 1 with value (4 4) 5 with value (4 10) 3 with value (4 14)
% 7.77/7.95 ; 2 with value (4 7) 6 with value (4 11) 1 with value (4 16)
% 7.77/7.95 ; 1 with value (4 8) 2 with value (4 12) 3 with value (4 17)
% 7.77/7.95 ; 1 with value (4 9) 2 with value (4 13) 3 with value (4 18)
% 7.77/7.95 Evaluation took:
% 7.77/7.95 7.475 seconds of real time
% 7.77/7.95 7.439847 seconds of user run time
% 7.77/7.95 0.03435 seconds of system run time
% 7.77/7.95 [Run times include 0.136 seconds GC run time.]
% 7.77/7.95 0 calls to %EVAL
% 7.77/7.95 0 page faults and
% 7.77/7.95 765,443,648 bytes consed.
% 7.77/7.95 :PROOF-FOUND
% 7.77/7.95 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T09:56:00
% 7.77/7.95 :PROOF-FOUND
% 7.77/7.95 *
%------------------------------------------------------------------------------