TSTP Solution File: KLE005+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE005+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sun Jul 17 02:26:03 EDT 2022
% Result : Theorem 0.18s 0.56s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 10 ( 7 unt; 1 nHn; 6 RR)
% Number of literals : 16 ( 9 equ; 6 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
addition(X,zero) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
cnf(9,axiom,
multiplication(X,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
cnf(10,axiom,
multiplication(zero,X) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
cnf(18,axiom,
( complement(X,Y)
| multiplication(Y,X) != zero
| multiplication(X,Y) != zero
| addition(X,Y) != one ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(20,axiom,
( ~ test(X)
| c(X) = Y
| ~ complement(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).
cnf(21,axiom,
( test(X)
| c(X) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_4) ).
cnf(22,negated_conjecture,
c(one) != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(23,plain,
test(one),
inference('UR-RESOLVE',[status(thm)],[21,22]) ).
cnf(44,plain,
complement(one,zero),
inference('HYPERRESOLVE',[status(thm)],[18,10,9,1]) ).
cnf(65,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[20,23,22]),44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KLE005+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 08:07:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T08:07:26
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-16T08:07:26
% 0.18/0.47
% 0.18/0.47 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.18/0.47 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.18/0.47 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.18/0.47 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.18/0.47 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.18/0.47 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.18/0.47 ; Declaring addition to be commutative.
% 0.18/0.56 ; Declaring addition to be associative-commutative.
% 0.18/0.56
% 0.18/0.56 #||
% 0.18/0.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.56 % SZS output start Refutation
% See solution above
% 0.18/0.56 ||#
% 0.18/0.56
% 0.18/0.56 ; Summary of computation:
% 0.18/0.56 ; 261 formulas have been input or derived (from 24 formulas).
% 0.18/0.56 ; 65 (25%) were retained. Of these,
% 0.18/0.56 ; 65 (100%) are still being kept.
% 0.18/0.56 ;
% 0.18/0.56 ; Run time in seconds excluding printing time:
% 0.18/0.56 ; 0.004 4% Read assertion file (1 call)
% 0.18/0.56 ; 0.002 2% Assert (17 calls)
% 0.18/0.56 ; 0.007 7% Process new row (234 calls)
% 0.18/0.56 ; 0.003 3% Resolution (46 calls)
% 0.18/0.56 ; 0.005 5% Paramodulation (23 calls)
% 0.18/0.56 ; 0.000 0% Factoring (1 call)
% 0.18/0.56 ; 0.001 1% Embedding (7 calls)
% 0.18/0.56 ; 0.023 23% Condensing (84 calls)
% 0.18/0.56 ; 0.001 1% Forward subsumption (84 calls)
% 0.18/0.56 ; 0.000 0% Backward subsumption (36 calls)
% 0.18/0.56 ; 0.006 6% Clause clause subsumption (151 calls)
% 0.18/0.56 ; 0.027 27% Forward simplification (230 calls)
% 0.18/0.56 ; 0.000 0% Backward simplification (61 calls)
% 0.18/0.56 ; 0.000 0% Ordering (265 calls)
% 0.18/0.56 ; 0.000 0% Ordering ac (35 calls)
% 0.18/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.56 ; 0.000 0% Purity testing (1 call)
% 0.18/0.56 ; 0.022 22% Other
% 0.18/0.56 ; 0.101 Total
% 0.18/0.56 ; 0.102 Real time
% 0.18/0.56 ;
% 0.18/0.56 ; Term-hash-array has 192 terms in all.
% 0.18/0.56 ; Feature-vector-row-index has 36 entries (36 at peak, 36 added, 0 deleted).
% 0.18/0.56 ; Feature-vector-row-index has 109 nodes (109 at peak, 109 added, 0 deleted).
% 0.18/0.56 ; Retrieved 208 possibly forward subsuming rows in 84 calls.
% 0.18/0.56 ; Retrieved 18 possibly backward subsumed rows in 36 calls.
% 0.18/0.56 ; Path-index has 194 entries (194 at peak, 194 added, 0 deleted).
% 0.18/0.56 ; Path-index has 180 nodes (180 at peak, 180 added, 0 deleted).
% 0.18/0.56 ; Trie-index has 194 entries (194 at peak, 194 added, 0 deleted).
% 0.18/0.56 ; Trie-index has 176 nodes (176 at peak, 176 added, 0 deleted).
% 0.18/0.56 ; Retrieved 5,745 generalization terms in 2,307 calls.
% 0.18/0.56 ; Retrieved 64 instance terms in 42 calls.
% 0.18/0.56 ; Retrieved 695 unifiable terms in 149 calls.
% 0.18/0.56 ;
% 0.18/0.56 ; The agenda of rows to process has 11 entries:
% 0.18/0.56 ; 4 with value 8 6 with value 11 1 with value 12
% 0.18/0.56 ; The agenda of rows to give has 41 entries:
% 0.18/0.56 ; 4 with value (4 5) 5 with value (4 20) 2 with value (4 51)
% 0.18/0.56 ; 1 with value (4 8) 1 with value (4 21) 1 with value (4 59)
% 0.18/0.56 ; 3 with value (4 9) 6 with value (4 28) 1 with value (4 61)
% 0.18/0.56 ; 2 with value (4 13) 4 with value (4 38) 2 with value (4 79)
% 0.18/0.56 ; 1 with value (4 15) 2 with value (4 39) 1 with value (4 107)
% 0.18/0.56 ; 3 with value (4 16) 2 with value (4 41)
% 0.18/0.56 Evaluation took:
% 0.18/0.56 0.103 seconds of real time
% 0.18/0.56 0.097617 seconds of user run time
% 0.18/0.56 0.005114 seconds of system run time
% 0.18/0.56 0 calls to %EVAL
% 0.18/0.56 0 page faults and
% 0.18/0.56 6,002,840 bytes consed.
% 0.18/0.56 :PROOF-FOUND
% 0.18/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T08:07:26
% 0.18/0.56 :PROOF-FOUND
% 0.18/0.56 *
%------------------------------------------------------------------------------