TSTP Solution File: KLE083+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE083+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 02:26:33 EDT 2022
% Result : Theorem 2.36s 2.52s
% Output : Refutation 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 3 RR)
% Number of literals : 11 ( 10 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
addition(X,zero) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
cnf(6,axiom,
multiplication(one,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
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(13,axiom,
multiplication(antidomain(X),X) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain1) ).
cnf(16,axiom,
addition(antidomain(antidomain(X)),antidomain(X)) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain3) ).
cnf(18,axiom,
domain(X) = antidomain(antidomain(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain4) ).
cnf(25,negated_conjecture,
'SKOLEMAAAV1' != multiplication(domain('SKOLEMAAAV1'),'SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(26,plain,
'SKOLEMAAAV1' != multiplication(antidomain(antidomain('SKOLEMAAAV1')),'SKOLEMAAAV1'),
inference('REWRITE',[status(thm)],[25,18,theory(equality)]) ).
cnf(74,plain,
X = addition(multiplication(antidomain(antidomain(Y)),X),multiplication(antidomain(Y),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,16,theory(equality)]),6,theory(equality)]) ).
cnf(1322,plain,
X = multiplication(antidomain(antidomain(X)),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[74,13,theory(equality)]),1,theory(equality)]) ).
cnf(1325,plain,
$false,
inference('REWRITE',[status(thm)],[26,1322,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE083+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 16 15:36:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T15:36:34
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-16T15:36:34
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.20/0.49 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.20/0.49 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.20/0.49 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.20/0.49 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.20/0.49 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.20/0.49 ; Recognized possible left inverse assertion (= (|multiplication| (|antidomain| ?X) ?X) |zero|).
% 0.20/0.49 ; Recognized possible right inverse assertion (= (|multiplication| ?X (|coantidomain| ?X)) |zero|).
% 0.20/0.49 ; Declaring addition to be commutative.
% 2.36/2.52 ; Declaring addition to be associative-commutative.
% 2.36/2.52
% 2.36/2.52 #||
% 2.36/2.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.36/2.52 % SZS output start Refutation
% See solution above
% 2.37/2.52 ||#
% 2.37/2.52
% 2.37/2.52 ; Summary of computation:
% 2.37/2.52 ; 9065 formulas have been input or derived (from 156 formulas).
% 2.37/2.52 ; 1325 (15%) were retained. Of these,
% 2.37/2.52 ; 89 ( 7%) were simplified or subsumed later,
% 2.37/2.52 ; 1236 (93%) are still being kept.
% 2.37/2.52 ;
% 2.37/2.52 ; Run time in seconds:
% 2.37/2.52 ; 0.005 0% Read assertion file (1 call)
% 2.37/2.52 ; 0.002 0% Assert (21 calls)
% 2.37/2.52 ; 0.115 6% Process new row (8,631 calls)
% 2.37/2.52 ; 0.012 1% Resolution (310 calls)
% 2.37/2.52 ; 0.130 6% Paramodulation (155 calls)
% 2.37/2.52 ; 0.002 0% Embedding (156 calls)
% 2.37/2.52 ; 0.014 1% Condensing (446 calls)
% 2.37/2.52 ; 0.016 1% Forward subsumption (446 calls)
% 2.37/2.52 ; 0.006 0% Backward subsumption (133 calls)
% 2.37/2.52 ; 0.008 0% Clause clause subsumption (1,312 calls)
% 2.37/2.52 ; 1.598 78% Forward simplification (8,455 calls)
% 2.37/2.52 ; 0.052 3% Backward simplification (1,171 calls)
% 2.37/2.52 ; 0.018 1% Ordering (6,179 calls)
% 2.37/2.52 ; 0.012 1% Ordering ac (911 calls)
% 2.37/2.52 ; 0.000 0% Sortal reasoning (32 calls)
% 2.37/2.52 ; 0.000 0% Purity testing (1 call)
% 2.37/2.52 ; 0.055 3% Other
% 2.37/2.52 ; 2.045 Total
% 2.37/2.52 ; 2.046 Real time
% 2.37/2.52 ;
% 2.37/2.52 ; Term-hash-array has 2,981 terms in all.
% 2.37/2.52 ; Feature-vector-row-index has 133 entries (133 at peak, 133 added, 0 deleted).
% 2.37/2.52 ; Feature-vector-row-index has 892 nodes (892 at peak, 892 added, 0 deleted).
% 2.37/2.52 ; Retrieved 1,907 possibly forward subsuming rows in 446 calls.
% 2.37/2.52 ; Retrieved 65 possibly backward subsumed rows in 133 calls.
% 2.37/2.52 ; Path-index has 2,777 entries (2,838 at peak, 2,999 added, 222 deleted).
% 2.37/2.52 ; Path-index has 1,815 nodes (1,868 at peak, 1,946 added, 131 deleted).
% 2.37/2.52 ; Trie-index has 2,777 entries (2,838 at peak, 2,999 added, 222 deleted).
% 2.37/2.52 ; Trie-index has 2,524 nodes (2,676 at peak, 2,889 added, 365 deleted).
% 2.37/2.52 ; Retrieved 2,354,564 generalization terms in 59,371 calls.
% 2.37/2.52 ; Retrieved 5,727 instance terms in 1,055 calls.
% 2.37/2.52 ; Retrieved 22,314 unifiable terms in 1,085 calls.
% 2.37/2.52 ;
% 2.37/2.52 ; The agenda of rows to process has 56 entries:
% 2.37/2.52 ; 1 with value 16 1 with value 22 3 with value 27
% 2.37/2.52 ; 6 with value 17 2 with value 23 3 with value 28
% 2.37/2.52 ; 1 with value 18 5 with value 24 4 with value 29
% 2.37/2.52 ; 5 with value 19 9 with value 25 1 with value 30
% 2.37/2.52 ; 5 with value 20 4 with value 26 1 with value 31
% 2.37/2.52 ; 5 with value 21
% 2.37/2.52 ; The agenda of rows to give has 1086 entries:
% 2.37/2.52 ; 2 with value (4 13) 34 with value (4 27) 6 with value (4 37)
% 2.37/2.52 ; 67 with value (4 18) 48 with value (4 28) 4 with value (4 38)
% 2.37/2.52 ; 103 with value (4 19) 52 with value (4 29) 12 with value (4 39)
% 2.37/2.52 ; 82 with value (4 20) 54 with value (4 30) 4 with value (4 40)
% 2.37/2.52 ; 90 with value (4 21) 38 with value (4 31) 4 with value (4 42)
% 2.37/2.52 ; 59 with value (4 22) 58 with value (4 32) 8 with value (4 43)
% 2.37/2.52 ; 79 with value (4 23) 14 with value (4 33) 2 with value (4 44)
% 2.37/2.52 ; 52 with value (4 24) 24 with value (4 34) 2 with value (4 45)
% 2.37/2.52 ; 81 with value (4 25) 14 with value (4 35) 2 with value (4 47)
% 2.37/2.52 ; 65 with value (4 26) 24 with value (4 36) 2 with value (4 48)
% 2.37/2.52 Evaluation took:
% 2.37/2.52 2.046 seconds of real time
% 2.37/2.52 1.987042 seconds of user run time
% 2.37/2.52 0.058659 seconds of system run time
% 2.37/2.52 [Run times include 0.069 seconds GC run time.]
% 2.37/2.52 0 calls to %EVAL
% 2.37/2.52 0 page faults and
% 2.37/2.52 181,119,608 bytes consed.
% 2.37/2.52 :PROOF-FOUND
% 2.37/2.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T15:36:36
% 2.37/2.52 :PROOF-FOUND
% 2.37/2.52 *
%------------------------------------------------------------------------------