TSTP Solution File: KLE065+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE065+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sun Jul 17 02:26:28 EDT 2022
% Result : Theorem 27.45s 27.66s
% Output : Refutation 27.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 4 RR)
% Number of literals : 13 ( 12 equ; 1 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; 4 con; 0-2 aty)
% Number of variables : 15 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
multiplication(one,X) = X,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
cnf(10,axiom,
multiplication(zero,X) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
cnf(13,axiom,
addition(X,multiplication(domain(X),X)) = multiplication(domain(X),X),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain1) ).
cnf(15,axiom,
domain(multiplication(X,Y)) = domain(multiplication(X,domain(Y))),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain2) ).
cnf(16,axiom,
addition(domain(X),one) = one,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain3) ).
cnf(18,axiom,
domain(zero) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain4) ).
cnf(21,negated_conjecture,
multiplication('SKOLEMAAAU1','SKOLEMAAAU2') = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(22,negated_conjecture,
multiplication('SKOLEMAAAU1',domain('SKOLEMAAAU2')) != zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(56,plain,
addition(multiplication(X,domain(Y)),multiplication(domain(multiplication(X,Y)),multiplication(X,domain(Y)))) = multiplication(domain(multiplication(X,Y)),multiplication(X,domain(Y))),
inference('PARAMODULATE',[status(thm)],[13,15,theory(equality)]) ).
cnf(115,plain,
X = addition(X,multiplication(domain(Y),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,16,theory(equality)]),6,theory(equality)]) ).
cnf(148,plain,
multiplication(X,domain(Y)) = multiplication(domain(multiplication(X,Y)),multiplication(X,domain(Y))),
inference('REWRITE',[status(thm)],[56,115,theory(equality)]) ).
cnf(1778,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[148,21,theory(equality)]),22,10,18,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KLE065+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n005.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 07:39:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T07:39:24
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-16T07:39:24
% 0.19/0.47
% 0.19/0.47 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.19/0.47 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.19/0.47 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.19/0.47 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.19/0.47 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.19/0.47 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.19/0.47 ; Declaring addition to be commutative.
% 27.45/27.66 ; Declaring addition to be associative-commutative.
% 27.45/27.66
% 27.45/27.66 #||
% 27.45/27.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.45/27.66 % SZS output start Refutation
% See solution above
% 27.45/27.66 ||#
% 27.45/27.66
% 27.45/27.66 ; Summary of computation:
% 27.45/27.66 ; 12216 formulas have been input or derived (from 118 formulas).
% 27.45/27.66 ; 1778 (15%) were retained. Of these,
% 27.45/27.66 ; 188 (11%) were simplified or subsumed later,
% 27.45/27.66 ; 1590 (89%) are still being kept.
% 27.45/27.66 ;
% 27.45/27.66 ; Run time in seconds excluding printing time:
% 27.45/27.66 ; 0.004 0% Read assertion file (1 call)
% 27.45/27.66 ; 0.001 0% Assert (18 calls)
% 27.45/27.66 ; 0.207 1% Process new row (11,868 calls)
% 27.45/27.66 ; 0.021 0% Resolution (234 calls)
% 27.45/27.66 ; 0.158 1% Paramodulation (117 calls)
% 27.45/27.66 ; 0.003 0% Embedding (121 calls)
% 27.45/27.66 ; 0.037 0% Condensing (629 calls)
% 27.45/27.66 ; 0.026 0% Forward subsumption (629 calls)
% 27.45/27.66 ; 0.007 0% Backward subsumption (139 calls)
% 27.45/27.66 ; 0.012 0% Clause clause subsumption (1,957 calls)
% 27.45/27.66 ; 26.258 97% Forward simplification (11,736 calls)
% 27.45/27.66 ; 0.272 1% Backward simplification (1,666 calls)
% 27.45/27.66 ; 0.073 0% Ordering (17,899 calls)
% 27.45/27.66 ; 0.057 0% Ordering ac (3,321 calls)
% 27.45/27.66 ; 0.000 0% Sortal reasoning (32 calls)
% 27.45/27.66 ; 0.000 0% Purity testing (1 call)
% 27.45/27.66 ; 0.062 0% Other
% 27.45/27.66 ; 27.198 Total
% 27.45/27.66 ; 27.199 Real time
% 27.45/27.66 ;
% 27.45/27.66 ; Term-hash-array has 3,990 terms in all.
% 27.45/27.66 ; Feature-vector-row-index has 120 entries (120 at peak, 139 added, 19 deleted).
% 27.45/27.66 ; Feature-vector-row-index has 567 nodes (567 at peak, 786 added, 219 deleted).
% 27.45/27.66 ; Retrieved 3,580 possibly forward subsuming rows in 629 calls.
% 27.45/27.66 ; Retrieved 250 possibly backward subsumed rows in 139 calls.
% 27.45/27.66 ; Path-index has 3,568 entries (3,568 at peak, 4,069 added, 501 deleted).
% 27.45/27.66 ; Path-index has 1,893 nodes (1,893 at peak, 1,993 added, 100 deleted).
% 27.45/27.66 ; Trie-index has 3,568 entries (3,568 at peak, 4,069 added, 501 deleted).
% 27.45/27.66 ; Trie-index has 2,228 nodes (2,228 at peak, 2,332 added, 104 deleted).
% 27.45/27.66 ; Retrieved 2,876,362 generalization terms in 105,546 calls.
% 27.45/27.66 ; Retrieved 20,234 instance terms in 1,577 calls.
% 27.45/27.66 ; Retrieved 13,136 unifiable terms in 851 calls.
% 27.45/27.66 ;
% 27.45/27.66 ; The agenda of rows to process has 78 entries:
% 27.45/27.66 ; 6 with value 18 5 with value 24 3 with value 29
% 27.45/27.66 ; 5 with value 19 7 with value 25 2 with value 30
% 27.45/27.66 ; 7 with value 20 5 with value 26 2 with value 33
% 27.45/27.66 ; 4 with value 21 8 with value 27 3 with value 34
% 27.45/27.66 ; 12 with value 22 4 with value 28 1 with value 35
% 27.45/27.66 ; 4 with value 23
% 27.45/27.66 ; The agenda of rows to give has 1474 entries:
% 27.45/27.66 ; 25 with value (4 19) 59 with value (4 29) 31 with value (4 39)
% 27.45/27.66 ; 53 with value (4 20) 65 with value (4 30) 14 with value (4 40)
% 27.45/27.66 ; 52 with value (4 21) 50 with value (4 31) 32 with value (4 41)
% 27.45/27.66 ; 78 with value (4 22) 86 with value (4 32) 18 with value (4 42)
% 27.45/27.66 ; 70 with value (4 23) 47 with value (4 33) 21 with value (4 43)
% 27.45/27.66 ; 103 with value (4 24) 68 with value (4 34) 8 with value (4 44)
% 27.45/27.66 ; 87 with value (4 25) 42 with value (4 35) 10 with value (4 45)
% 27.45/27.66 ; 111 with value (4 26) 45 with value (4 36) 16 with value (4 46)
% 27.45/27.66 ; 103 with value (4 27) 29 with value (4 37) 2 with value (4 47)
% 27.45/27.66 ; 85 with value (4 28) 48 with value (4 38) 16 with value (4 48)
% 27.45/27.66 Evaluation took:
% 27.45/27.66 27.2 seconds of real time
% 27.45/27.66 27.006018 seconds of user run time
% 27.45/27.66 0.194173 seconds of system run time
% 27.45/27.66 [Run times include 1.04 seconds GC run time.]
% 27.45/27.66 0 calls to %EVAL
% 27.45/27.66 0 page faults and
% 27.45/27.66 3,870,065,280 bytes consed.
% 27.45/27.66 :PROOF-FOUND
% 27.45/27.66 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T07:39:51
% 27.45/27.66 :PROOF-FOUND
% 27.45/27.66 *
%------------------------------------------------------------------------------