TSTP Solution File: KLE072+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE072+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 02:26:30 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 3 RR)
% Number of literals : 7 ( 6 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
multiplication(addition(X,Y),Z) = addition(multiplication(X,Z),multiplication(Y,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
cnf(15,axiom,
domain(multiplication(X,Y)) = domain(multiplication(X,domain(Y))),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain2) ).
cnf(19,axiom,
domain(addition(X,Y)) = addition(domain(X),domain(Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain5) ).
cnf(21,negated_conjecture,
domain(multiplication(addition('SKOLEMAAAV1','SKOLEMAAAV2'),domain('SKOLEMAAAV3'))) != addition(domain(multiplication('SKOLEMAAAV1',domain('SKOLEMAAAV3'))),domain(multiplication('SKOLEMAAAV2',domain('SKOLEMAAAV3')))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(22,plain,
domain(addition(multiplication('SKOLEMAAAV1',domain('SKOLEMAAAV3')),multiplication('SKOLEMAAAV2',domain('SKOLEMAAAV3')))) != domain(addition(multiplication('SKOLEMAAAV1','SKOLEMAAAV3'),multiplication('SKOLEMAAAV2','SKOLEMAAAV3'))),
inference('REWRITE',[status(thm)],[21,19,15,8,theory(equality)]) ).
cnf(48,plain,
domain(addition(multiplication(X,domain(Y)),Z)) = domain(addition(multiplication(X,Y),Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[19,15,theory(equality)]),19,theory(equality)]) ).
cnf(49,plain,
$false,
inference('REWRITE',[status(thm)],[22,48,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE072+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n016.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 Jun 16 09:25:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T09:25:04
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-16T09:25:04
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.19/0.49 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.19/0.49 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.19/0.49 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.19/0.49 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.19/0.49 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.19/0.49 ; Declaring addition to be commutative.
% 0.19/0.53 ; Declaring addition to be associative-commutative.
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 171 formulas have been input or derived (from 17 formulas).
% 0.19/0.53 ; 49 (29%) were retained. Of these,
% 0.19/0.53 ; 2 ( 4%) were simplified or subsumed later,
% 0.19/0.53 ; 47 (96%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.004 7% Read assertion file (1 call)
% 0.19/0.53 ; 0.000 0% Assert (18 calls)
% 0.19/0.53 ; 0.006 11% Process new row (161 calls)
% 0.19/0.53 ; 0.000 0% Resolution (32 calls)
% 0.19/0.53 ; 0.005 9% Paramodulation (16 calls)
% 0.19/0.53 ; 0.000 0% Embedding (7 calls)
% 0.19/0.53 ; 0.004 7% Condensing (47 calls)
% 0.19/0.53 ; 0.003 5% Forward subsumption (47 calls)
% 0.19/0.53 ; 0.000 0% Backward subsumption (15 calls)
% 0.19/0.53 ; 0.001 2% Clause clause subsumption (67 calls)
% 0.19/0.53 ; 0.006 11% Forward simplification (157 calls)
% 0.19/0.53 ; 0.001 2% Backward simplification (44 calls)
% 0.19/0.53 ; 0.001 2% Ordering (219 calls)
% 0.19/0.53 ; 0.000 0% Ordering ac (43 calls)
% 0.19/0.53 ; 0.001 2% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.024 43% Other
% 0.19/0.53 ; 0.056 Total
% 0.19/0.53 ; 0.057 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 138 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 15 entries (15 at peak, 15 added, 0 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 89 nodes (89 at peak, 89 added, 0 deleted).
% 0.19/0.53 ; Retrieved 93 possibly forward subsuming rows in 47 calls.
% 0.19/0.53 ; Retrieved 0 possibly backward subsumed rows in 15 calls.
% 0.19/0.53 ; Path-index has 133 entries (143 at peak, 146 added, 13 deleted).
% 0.19/0.53 ; Path-index has 223 nodes (240 at peak, 243 added, 20 deleted).
% 0.19/0.53 ; Trie-index has 133 entries (143 at peak, 146 added, 13 deleted).
% 0.19/0.53 ; Trie-index has 210 nodes (219 at peak, 222 added, 12 deleted).
% 0.19/0.53 ; Retrieved 1,747 generalization terms in 860 calls.
% 0.19/0.53 ; Retrieved 49 instance terms in 42 calls.
% 0.19/0.53 ; Retrieved 348 unifiable terms in 78 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of rows to process has 2 entries:
% 0.19/0.53 ; 2 with value 21
% 0.19/0.53 ; The agenda of input rows to give has 4 entries:
% 0.19/0.53 ; 2 with value 15 2 with value 16
% 0.19/0.53 ; The agenda of rows to give has 26 entries:
% 0.19/0.53 ; 2 with value (4 5) 1 with value (4 15) 1 with value (4 23)
% 0.19/0.53 ; 1 with value (4 7) 2 with value (4 17) 1 with value (4 24)
% 0.19/0.53 ; 1 with value (4 8) 1 with value (4 18) 1 with value (4 25)
% 0.19/0.53 ; 2 with value (4 9) 7 with value (4 20) 1 with value (4 26)
% 0.19/0.53 ; 1 with value (4 10) 2 with value (4 21) 1 with value (4 30)
% 0.19/0.53 ; 1 with value (4 13)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.058 seconds of real time
% 0.19/0.53 0.047366 seconds of user run time
% 0.19/0.53 0.011206 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 3,316,312 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T09:25:04
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------