TSTP Solution File: KLE114+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE114+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 02:26:42 EDT 2022
% Result : Theorem 0.46s 0.63s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 4 RR)
% Number of literals : 19 ( 18 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
addition(X,zero) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
cnf(5,axiom,
multiplication(X,one) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
cnf(9,axiom,
multiplication(X,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
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,axiom,
c(X) = antidomain(domain(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+6.ax',complement) ).
cnf(26,plain,
c(X) = antidomain(antidomain(antidomain(X))),
inference('REWRITE',[status(thm)],[25,18,theory(equality)]) ).
cnf(29,axiom,
forward_diamond(X,Y) = domain(multiplication(X,domain(Y))),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+6.ax',forward_diamond) ).
cnf(30,plain,
forward_diamond(X,Y) = antidomain(antidomain(multiplication(X,antidomain(antidomain(Y))))),
inference('REWRITE',[status(thm)],[29,18,theory(equality)]) ).
cnf(33,axiom,
forward_box(X,Y) = c(forward_diamond(X,c(Y))),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+6.ax',forward_box) ).
cnf(34,plain,
forward_box(X,Y) = antidomain(antidomain(antidomain(forward_diamond(X,antidomain(antidomain(antidomain(Y))))))),
inference('REWRITE',[status(thm)],[33,26,theory(equality)]) ).
cnf(37,negated_conjecture,
forward_box('SKOLEMAAAU1',one) != one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(38,plain,
zero = antidomain(one),
inference('PARAMODULATE',[status(thm)],[5,13,theory(equality)]) ).
cnf(258,plain,
antidomain(zero) = one,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,38,theory(equality)]),1,theory(equality)]) ).
cnf(266,plain,
forward_box(X,one) = antidomain(antidomain(antidomain(forward_diamond(X,zero)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[34,38,theory(equality)]),38,258,theory(equality)]) ).
cnf(287,plain,
forward_diamond(X,zero) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[30,258,theory(equality)]),258,9,38,theory(equality)]) ).
cnf(288,plain,
forward_box(X,one) = one,
inference('REWRITE',[status(thm)],[266,38,258,287,theory(equality)]) ).
cnf(289,plain,
$false,
inference('REWRITE',[status(thm)],[37,288,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE114+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n015.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 12:21:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T12:21:11
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-16T12:21:11
% 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 ; Recognized possible left inverse assertion (= (|multiplication| (|antidomain| ?X) ?X) |zero|).
% 0.19/0.49 ; Recognized possible right inverse assertion (= (|multiplication| ?X (|coantidomain| ?X)) |zero|).
% 0.19/0.49 ; Declaring addition to be commutative.
% 0.46/0.63 ; Declaring addition to be associative-commutative.
% 0.46/0.63
% 0.46/0.63 #||
% 0.46/0.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.63 % SZS output start Refutation
% See solution above
% 0.46/0.63 ||#
% 0.46/0.63
% 0.46/0.63 ; Summary of computation:
% 0.46/0.63 ; 722 formulas have been input or derived (from 39 formulas).
% 0.46/0.63 ; 289 (40%) were retained. Of these,
% 0.46/0.63 ; 35 (12%) were simplified or subsumed later,
% 0.46/0.63 ; 254 (88%) are still being kept.
% 0.46/0.63 ;
% 0.46/0.63 ; Run time in seconds excluding printing time:
% 0.46/0.63 ; 0.006 4% Read assertion file (1 call)
% 0.46/0.63 ; 0.002 1% Assert (27 calls)
% 0.46/0.63 ; 0.027 17% Process new row (692 calls)
% 0.46/0.63 ; 0.003 2% Resolution (76 calls)
% 0.46/0.63 ; 0.020 12% Paramodulation (38 calls)
% 0.46/0.63 ; 0.001 1% Embedding (68 calls)
% 0.46/0.63 ; 0.004 2% Condensing (69 calls)
% 0.46/0.63 ; 0.002 1% Forward subsumption (69 calls)
% 0.46/0.63 ; 0.000 0% Backward subsumption (33 calls)
% 0.46/0.63 ; 0.001 1% Clause clause subsumption (117 calls)
% 0.46/0.63 ; 0.055 34% Forward simplification (627 calls)
% 0.46/0.63 ; 0.004 2% Backward simplification (218 calls)
% 0.46/0.63 ; 0.004 2% Ordering (875 calls)
% 0.46/0.63 ; 0.003 2% Ordering ac (113 calls)
% 0.46/0.63 ; 0.000 0% Sortal reasoning (32 calls)
% 0.46/0.63 ; 0.000 0% Purity testing (1 call)
% 0.46/0.63 ; 0.028 18% Other
% 0.46/0.63 ; 0.160 Total
% 0.46/0.63 ; 0.161 Real time
% 0.46/0.63 ;
% 0.46/0.63 ; Term-hash-array has 939 terms in all.
% 0.46/0.63 ; Feature-vector-row-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 0.46/0.63 ; Feature-vector-row-index has 266 nodes (266 at peak, 266 added, 0 deleted).
% 0.46/0.63 ; Retrieved 135 possibly forward subsuming rows in 69 calls.
% 0.46/0.63 ; Retrieved 0 possibly backward subsumed rows in 33 calls.
% 0.46/0.63 ; Path-index has 860 entries (888 at peak, 958 added, 98 deleted).
% 0.46/0.63 ; Path-index has 2,926 nodes (2,950 at peak, 3,011 added, 85 deleted).
% 0.46/0.63 ; Trie-index has 860 entries (888 at peak, 958 added, 98 deleted).
% 0.46/0.63 ; Trie-index has 2,065 nodes (2,079 at peak, 2,241 added, 176 deleted).
% 0.46/0.63 ; Retrieved 43,569 generalization terms in 6,634 calls.
% 0.46/0.63 ; Retrieved 261 instance terms in 224 calls.
% 0.46/0.63 ; Retrieved 1,482 unifiable terms in 213 calls.
% 0.46/0.63 ;
% 0.46/0.63 ; The agenda of rows to process has 3 entries:
% 0.46/0.63 ; 2 with value 22 1 with value 24
% 0.46/0.63 ; The agenda of rows to give has 216 entries:
% 0.46/0.63 ; 5 with value (4 8) 9 with value (4 20) 8 with value (4 31)
% 0.46/0.63 ; 3 with value (4 9) 13 with value (4 21) 16 with value (4 32)
% 0.46/0.63 ; 9 with value (4 10) 2 with value (4 22) 4 with value (4 33)
% 0.46/0.63 ; 4 with value (4 12) 12 with value (4 23) 12 with value (4 34)
% 0.46/0.63 ; 5 with value (4 13) 8 with value (4 24) 4 with value (4 38)
% 0.46/0.63 ; 1 with value (4 14) 10 with value (4 25) 2 with value (4 39)
% 0.46/0.63 ; 15 with value (4 15) 2 with value (4 26) 4 with value (4 40)
% 0.46/0.63 ; 4 with value (4 16) 10 with value (4 27) 4 with value (4 42)
% 0.46/0.63 ; 3 with value (4 17) 12 with value (4 28) 2 with value (4 45)
% 0.46/0.63 ; 15 with value (4 18) 10 with value (4 30) 2 with value (4 47)
% 0.46/0.63 ; 6 with value (4 19)
% 0.46/0.63 Evaluation took:
% 0.46/0.63 0.162 seconds of real time
% 0.46/0.63 0.151086 seconds of user run time
% 0.46/0.63 0.011179 seconds of system run time
% 0.46/0.63 0 calls to %EVAL
% 0.46/0.63 0 page faults and
% 0.46/0.63 9,553,536 bytes consed.
% 0.46/0.63 :PROOF-FOUND
% 0.46/0.63 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T12:21:11
% 0.46/0.63 :PROOF-FOUND
% 0.46/0.63 *
%------------------------------------------------------------------------------