TSTP Solution File: KLE133+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE133+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 02:26:46 EDT 2022
% Result : Theorem 1.38s 1.63s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 32 ( 32 unt; 0 nHn; 10 RR)
% Number of literals : 32 ( 31 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
addition(X,zero) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
cnf(5,axiom,
multiplication(X,one) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
cnf(6,axiom,
multiplication(one,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
cnf(9,axiom,
multiplication(X,zero) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
cnf(10,axiom,
multiplication(zero,X) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
cnf(13,axiom,
multiplication(antidomain(X),X) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain1) ).
cnf(16,axiom,
addition(antidomain(antidomain(X)),antidomain(X)) = one,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain3) ).
cnf(18,axiom,
domain(X) = antidomain(antidomain(X)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain4) ).
cnf(27,axiom,
domain_difference(X,Y) = multiplication(domain(X),antidomain(Y)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',domain_difference) ).
cnf(28,plain,
domain_difference(X,Y) = multiplication(antidomain(antidomain(X)),antidomain(Y)),
inference('REWRITE',[status(thm)],[27,18,theory(equality)]) ).
cnf(29,axiom,
forward_diamond(X,Y) = domain(multiplication(X,domain(Y))),
file('/export/starexec/sandbox/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(40,negated_conjecture,
addition(domain(X),forward_diamond(star('SKOLEMAAAV1'),domain_difference(domain(X),forward_diamond('SKOLEMAAAV1',domain(X))))) = forward_diamond(star('SKOLEMAAAV1'),domain_difference(domain(X),forward_diamond('SKOLEMAAAV1',domain(X)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(41,plain,
addition(antidomain(antidomain(X)),forward_diamond(star('SKOLEMAAAV1'),domain_difference(antidomain(antidomain(X)),forward_diamond('SKOLEMAAAV1',antidomain(antidomain(X)))))) = forward_diamond(star('SKOLEMAAAV1'),domain_difference(antidomain(antidomain(X)),forward_diamond('SKOLEMAAAV1',antidomain(antidomain(X))))),
inference('REWRITE',[status(thm)],[40,18,theory(equality)]) ).
cnf(43,negated_conjecture,
forward_diamond('SKOLEMAAAV1',forward_diamond('SKOLEMAAAV1',domain(X))) = forward_diamond('SKOLEMAAAV1',domain(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(44,plain,
forward_diamond('SKOLEMAAAV1',forward_diamond('SKOLEMAAAV1',antidomain(antidomain(X)))) = forward_diamond('SKOLEMAAAV1',antidomain(antidomain(X))),
inference('REWRITE',[status(thm)],[43,18,theory(equality)]) ).
cnf(45,negated_conjecture,
addition(forward_diamond('SKOLEMAAAV1',domain('SKOLEMAAAV2')),forward_diamond(star('SKOLEMAAAV1'),domain_difference(domain('SKOLEMAAAV2'),forward_diamond('SKOLEMAAAV1',domain('SKOLEMAAAV2'))))) != forward_diamond(star('SKOLEMAAAV1'),domain_difference(domain('SKOLEMAAAV2'),forward_diamond('SKOLEMAAAV1',domain('SKOLEMAAAV2')))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(46,plain,
addition(forward_diamond('SKOLEMAAAV1',antidomain(antidomain('SKOLEMAAAV2'))),forward_diamond(star('SKOLEMAAAV1'),domain_difference(antidomain(antidomain('SKOLEMAAAV2')),forward_diamond('SKOLEMAAAV1',antidomain(antidomain('SKOLEMAAAV2')))))) != forward_diamond(star('SKOLEMAAAV1'),domain_difference(antidomain(antidomain('SKOLEMAAAV2')),forward_diamond('SKOLEMAAAV1',antidomain(antidomain('SKOLEMAAAV2'))))),
inference('REWRITE',[status(thm)],[45,18,theory(equality)]) ).
cnf(47,plain,
zero = antidomain(one),
inference('PARAMODULATE',[status(thm)],[5,13,theory(equality)]) ).
cnf(84,plain,
domain_difference(X,X) = zero,
inference('PARAMODULATE',[status(thm)],[13,28,theory(equality)]) ).
cnf(105,plain,
forward_diamond(zero,X) = antidomain(antidomain(zero)),
inference('PARAMODULATE',[status(thm)],[30,10,theory(equality)]) ).
cnf(318,plain,
antidomain(zero) = one,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,47,theory(equality)]),1,theory(equality)]) ).
cnf(319,plain,
forward_diamond(zero,X) = zero,
inference('REWRITE',[status(thm)],[105,47,318,theory(equality)]) ).
cnf(324,plain,
forward_diamond('SKOLEMAAAV1',forward_diamond('SKOLEMAAAV1',one)) = forward_diamond('SKOLEMAAAV1',one),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[44,47,theory(equality)]),318,theory(equality)]) ).
cnf(325,plain,
forward_diamond(X,one) = antidomain(antidomain(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[30,47,theory(equality)]),5,318,theory(equality)]) ).
cnf(326,plain,
forward_diamond('SKOLEMAAAV1',antidomain(antidomain('SKOLEMAAAV1'))) = antidomain(antidomain('SKOLEMAAAV1')),
inference('REWRITE',[status(thm)],[324,325,theory(equality)]) ).
cnf(355,plain,
domain_difference(X,zero) = antidomain(antidomain(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[28,318,theory(equality)]),5,theory(equality)]) ).
cnf(357,plain,
forward_diamond(X,zero) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[30,318,theory(equality)]),318,9,47,theory(equality)]) ).
cnf(1207,plain,
antidomain(antidomain('SKOLEMAAAV1')) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[41,326,theory(equality)]),1,357,84,theory(equality)]) ).
cnf(1210,plain,
antidomain('SKOLEMAAAV1') = one,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,1207,theory(equality)]),1,theory(equality)]) ).
cnf(1211,plain,
'SKOLEMAAAV1' = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[13,1210,theory(equality)]),6,theory(equality)]) ).
cnf(1214,plain,
$false,
inference('REWRITE',[status(thm)],[46,1,355,319,1211,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE133+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n028.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 10:42:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-16T10:42:26
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-16T10:42:26
% 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|).
% 0.19/0.50 ; Recognized possible right inverse assertion (= (|multiplication| ?X (|coantidomain| ?X)) |zero|).
% 0.19/0.50 ; Declaring addition to be commutative.
% 1.38/1.63 ; Declaring addition to be associative-commutative.
% 1.38/1.63
% 1.38/1.63 #||
% 1.38/1.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.63 % SZS output start Refutation
% See solution above
% 1.47/1.65 ||#
% 1.47/1.65
% 1.47/1.65 ; Summary of computation:
% 1.47/1.65 ; 6797 formulas have been input or derived (from 166 formulas).
% 1.47/1.65 ; 1214 (18%) were retained. Of these,
% 1.47/1.65 ; 143 (12%) were simplified or subsumed later,
% 1.47/1.65 ; 1071 (88%) are still being kept.
% 1.47/1.65 ;
% 1.47/1.65 ; Run time in seconds excluding printing time:
% 1.47/1.65 ; 0.008 1% Read assertion file (1 call)
% 1.47/1.65 ; 0.002 0% Assert (29 calls)
% 1.47/1.65 ; 0.132 11% Process new row (6,360 calls)
% 1.47/1.65 ; 0.018 2% Resolution (330 calls)
% 1.47/1.65 ; 0.114 10% Paramodulation (165 calls)
% 1.47/1.65 ; 0.002 0% Embedding (190 calls)
% 1.47/1.65 ; 0.026 2% Condensing (611 calls)
% 1.47/1.65 ; 0.016 1% Forward subsumption (611 calls)
% 1.47/1.65 ; 0.004 0% Backward subsumption (205 calls)
% 1.47/1.65 ; 0.017 1% Clause clause subsumption (1,151 calls)
% 1.47/1.65 ; 0.712 62% Forward simplification (6,108 calls)
% 1.47/1.65 ; 0.023 2% Backward simplification (1,017 calls)
% 1.47/1.65 ; 0.023 2% Ordering (5,559 calls)
% 1.47/1.65 ; 0.007 1% Ordering ac (1,316 calls)
% 1.47/1.65 ; 0.000 0% Sortal reasoning (32 calls)
% 1.47/1.65 ; 0.000 0% Purity testing (1 call)
% 1.47/1.65 ; 0.046 4% Other
% 1.47/1.65 ; 1.150 Total
% 1.47/1.65 ; 1.171 Real time
% 1.47/1.65 ;
% 1.47/1.65 ; Term-hash-array has 3,006 terms in all.
% 1.47/1.65 ; Feature-vector-row-index has 193 entries (201 at peak, 205 added, 12 deleted).
% 1.47/1.65 ; Feature-vector-row-index has 1,235 nodes (1,419 at peak, 1,493 added, 258 deleted).
% 1.47/1.65 ; Retrieved 1,879 possibly forward subsuming rows in 611 calls.
% 1.47/1.65 ; Retrieved 108 possibly backward subsumed rows in 205 calls.
% 1.47/1.65 ; Path-index has 2,663 entries (2,856 at peak, 3,058 added, 395 deleted).
% 1.47/1.65 ; Path-index has 5,026 nodes (5,309 at peak, 5,463 added, 437 deleted).
% 1.47/1.65 ; Trie-index has 2,663 entries (2,856 at peak, 3,058 added, 395 deleted).
% 1.47/1.65 ; Trie-index has 3,892 nodes (4,450 at peak, 4,692 added, 800 deleted).
% 1.47/1.65 ; Retrieved 1,564,879 generalization terms in 47,150 calls.
% 1.47/1.65 ; Retrieved 1,536 instance terms in 851 calls.
% 1.47/1.65 ; Retrieved 28,583 unifiable terms in 1,026 calls.
% 1.47/1.65 ;
% 1.47/1.65 ; The agenda of backward simplifiable rows to process has 55 entries:
% 1.47/1.65 ; 55 with value 0
% 1.47/1.65 ; The agenda of rows to process has 35 entries:
% 1.47/1.65 ; 2 with value 12 1 with value 17 1 with value 26
% 1.47/1.65 ; 2 with value 13 1 with value 18 1 with value 35
% 1.47/1.65 ; 13 with value 14 2 with value 20 2 with value 56
% 1.47/1.65 ; 8 with value 15 2 with value 24
% 1.47/1.65 ; The agenda of input rows to give has 2 entries:
% 1.47/1.65 ; 2 with value 28
% 1.47/1.65 ; The agenda of rows to give has 911 entries:
% 1.47/1.65 ; 1 with value (4 9) 34 with value (4 26) 3 with value (4 39)
% 1.47/1.65 ; 31 with value (4 15) 45 with value (4 27) 4 with value (4 40)
% 1.47/1.65 ; 60 with value (4 16) 30 with value (4 28) 4 with value (4 42)
% 1.47/1.65 ; 86 with value (4 17) 10 with value (4 29) 2 with value (4 44)
% 1.47/1.65 ; 61 with value (4 18) 37 with value (4 30) 2 with value (4 45)
% 1.47/1.65 ; 78 with value (4 19) 25 with value (4 31) 2 with value (4 47)
% 1.47/1.65 ; 42 with value (4 20) 39 with value (4 32) 3 with value (4 48)
% 1.47/1.65 ; 51 with value (4 21) 16 with value (4 33) 1 with value (4 49)
% 1.47/1.65 ; 43 with value (4 22) 32 with value (4 34) 6 with value (4 56)
% 1.47/1.65 ; 50 with value (4 23) 4 with value (4 35) 1 with value (4 60)
% 1.47/1.65 ; 34 with value (4 24) 1 with value (4 36) 6 with value (4 61)
% 1.47/1.65 ; 62 with value (4 25) 4 with value (4 38) 1 with value (4 65)
% 1.47/1.65 Evaluation took:
% 1.47/1.65 1.171 seconds of real time
% 1.47/1.65 1.114717 seconds of user run time
% 1.47/1.65 0.057065 seconds of system run time
% 1.47/1.65 [Run times include 0.047 seconds GC run time.]
% 1.47/1.65 0 calls to %EVAL
% 1.47/1.65 0 page faults and
% 1.47/1.65 64,679,520 bytes consed.
% 1.47/1.65 :PROOF-FOUND
% 1.47/1.65 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T10:42:27
% 1.47/1.65 :PROOF-FOUND
% 1.47/1.65 *
%------------------------------------------------------------------------------