%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE009+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 02:26:05 EDT 2022
% Result : Theorem 0.42s 0.62s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 26 ( 17 unt; 0 nHn; 20 RR)
% Number of literals : 39 ( 19 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
addition(X,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
cnf(5,axiom,
multiplication(X,one) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
cnf(7,axiom,
multiplication(X,addition(Y,Z)) = addition(multiplication(X,Y),multiplication(X,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
cnf(12,axiom,
( leq(X,Y)
| addition(X,Y) != Y ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',order) ).
cnf(13,axiom,
( ~ test(X)
| complement('SKOLEMAAAV1'(X),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).
cnf(15,axiom,
( ~ complement(X,Y)
| multiplication(Y,X) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(16,axiom,
( ~ complement(X,Y)
| multiplication(X,Y) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(17,axiom,
( ~ complement(X,Y)
| addition(X,Y) = one ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(18,axiom,
( complement(X,Y)
| multiplication(Y,X) != zero
| multiplication(X,Y) != zero
| addition(X,Y) != one ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(19,axiom,
( ~ test(X)
| c(X) != Y
| complement(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).
cnf(20,axiom,
( ~ test(X)
| c(X) = Y
| ~ complement(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).
cnf(22,negated_conjecture,
test('SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(23,negated_conjecture,
test('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(24,negated_conjecture,
( ~ leq(one,addition(multiplication('SKOLEMAAAV2','SKOLEMAAAV3'),addition(multiplication('SKOLEMAAAV2',c('SKOLEMAAAV3')),addition(multiplication(c('SKOLEMAAAV2'),'SKOLEMAAAV3'),multiplication(c('SKOLEMAAAV2'),c('SKOLEMAAAV3'))))))
| ~ leq(addition(multiplication('SKOLEMAAAV2','SKOLEMAAAV3'),addition(multiplication('SKOLEMAAAV2',c('SKOLEMAAAV3')),addition(multiplication(c('SKOLEMAAAV2'),'SKOLEMAAAV3'),multiplication(c('SKOLEMAAAV2'),c('SKOLEMAAAV3'))))),one) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(25,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[13,22]) ).
cnf(29,plain,
leq(X,X),
inference('HYPERRESOLVE',[status(thm)],[12,2]) ).
cnf(35,plain,
complement('SKOLEMAAAV2',c('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[19,23,theory(equality)]) ).
cnf(77,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3') = one,
inference('HYPERRESOLVE',[status(thm)],[17,25]) ).
cnf(79,plain,
multiplication('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3') = zero,
inference('HYPERRESOLVE',[status(thm)],[16,25]) ).
cnf(80,plain,
multiplication('SKOLEMAAAV3','SKOLEMAAAV1'('SKOLEMAAAV3')) = zero,
inference('HYPERRESOLVE',[status(thm)],[15,25]) ).
cnf(93,plain,
addition('SKOLEMAAAV2',c('SKOLEMAAAV2')) = one,
inference('HYPERRESOLVE',[status(thm)],[17,35]) ).
cnf(113,plain,
X = addition(multiplication(X,'SKOLEMAAAV1'('SKOLEMAAAV3')),multiplication(X,'SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,77,theory(equality)]),5,theory(equality)]) ).
cnf(115,plain,
complement('SKOLEMAAAV3','SKOLEMAAAV1'('SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,77,theory(equality)]),80,79,theory(equality)]) ).
cnf(121,plain,
c('SKOLEMAAAV3') = 'SKOLEMAAAV1'('SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[20,115,22]) ).
cnf(129,plain,
X = addition(multiplication(X,c('SKOLEMAAAV3')),multiplication(X,'SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[113,121,theory(equality)]) ).
cnf(131,plain,
$false,
inference('REWRITE',[status(thm)],[24,29,93,129,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE009+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 16 08:44:57 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.51 #<PACKAGE "SNARK-USER">
% 0.21/0.51 *
% 0.21/0.51 SNARK-TPTP-OPTIONS
% 0.21/0.51 *
% 0.21/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51 (USE-FACTORING :POS)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51 *
% 0.21/0.51 "."
% 0.21/0.51 *
% 0.21/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T08:44:57
% 0.21/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-16T08:44:57
% 0.21/0.52
% 0.21/0.52 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.21/0.52 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.21/0.52 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.21/0.52 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.21/0.52 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.21/0.52 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.21/0.52 ; Declaring addition to be commutative.
% 0.42/0.62 ; Declaring addition to be associative-commutative.
% 0.42/0.62
% 0.42/0.62 #||
% 0.42/0.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.62 % SZS output start Refutation
% See solution above
% 0.42/0.62 ||#
% 0.42/0.62
% 0.42/0.62 ; Summary of computation:
% 0.42/0.62 ; 553 formulas have been input or derived (from 51 formulas).
% 0.42/0.62 ; 131 (24%) were retained. Of these,
% 0.42/0.62 ; 25 (19%) were simplified or subsumed later,
% 0.42/0.62 ; 106 (81%) are still being kept.
% 0.42/0.62 ;
% 0.42/0.62 ; Run time in seconds excluding printing time:
% 0.42/0.62 ; 0.004 4% Read assertion file (1 call)
% 0.42/0.62 ; 0.002 2% Assert (17 calls)
% 0.42/0.62 ; 0.010 9% Process new row (493 calls)
% 0.42/0.62 ; 0.007 6% Resolution (100 calls)
% 0.42/0.62 ; 0.008 7% Paramodulation (50 calls)
% 0.42/0.62 ; 0.000 0% Factoring (1 call)
% 0.42/0.62 ; 0.000 0% Embedding (18 calls)
% 0.42/0.62 ; 0.016 14% Condensing (95 calls)
% 0.42/0.62 ; 0.002 2% Forward subsumption (95 calls)
% 0.42/0.62 ; 0.003 3% Backward subsumption (46 calls)
% 0.42/0.62 ; 0.002 2% Clause clause subsumption (155 calls)
% 0.42/0.62 ; 0.024 21% Forward simplification (468 calls)
% 0.42/0.62 ; 0.003 3% Backward simplification (116 calls)
% 0.42/0.62 ; 0.003 3% Ordering (354 calls)
% 0.42/0.62 ; 0.000 0% Ordering ac (37 calls)
% 0.42/0.62 ; 0.001 1% Sortal reasoning (32 calls)
% 0.42/0.62 ; 0.000 0% Purity testing (1 call)
% 0.42/0.62 ; 0.027 24% Other
% 0.42/0.62 ; 0.112 Total
% 0.42/0.62 ; 0.114 Real time
% 0.42/0.62 ;
% 0.42/0.62 ; Term-hash-array has 319 terms in all.
% 0.42/0.62 ; Feature-vector-row-index has 40 entries (41 at peak, 46 added, 6 deleted).
% 0.42/0.62 ; Feature-vector-row-index has 144 nodes (164 at peak, 195 added, 51 deleted).
% 0.42/0.62 ; Retrieved 210 possibly forward subsuming rows in 95 calls.
% 0.42/0.62 ; Retrieved 20 possibly backward subsumed rows in 46 calls.
% 0.42/0.62 ; Path-index has 275 entries (297 at peak, 327 added, 52 deleted).
% 0.42/0.62 ; Path-index has 310 nodes (327 at peak, 350 added, 40 deleted).
% 0.42/0.62 ; Trie-index has 275 entries (297 at peak, 327 added, 52 deleted).
% 0.42/0.62 ; Trie-index has 298 nodes (321 at peak, 351 added, 53 deleted).
% 0.42/0.62 ; Retrieved 7,027 generalization terms in 2,980 calls.
% 0.42/0.62 ; Retrieved 113 instance terms in 87 calls.
% 0.42/0.62 ; Retrieved 1,769 unifiable terms in 433 calls.
% 0.42/0.62 ;
% 0.42/0.62 ; The agenda of backward simplifiable rows to process has 3 entries:
% 0.42/0.62 ; 3 with value 0
% 0.42/0.62 ; The agenda of rows to process has 7 entries:
% 0.42/0.62 ; 6 with value 13 1 with value 17
% 0.42/0.62 ; The agenda of rows to give has 62 entries:
% 0.42/0.62 ; 1 with value (4 7) 4 with value (4 17) 2 with value (4 41)
% 0.42/0.62 ; 1 with value (4 9) 2 with value (4 18) 2 with value (4 51)
% 0.42/0.62 ; 16 with value (4 11) 5 with value (4 20) 1 with value (4 59)
% 0.42/0.62 ; 4 with value (4 12) 1 with value (4 21) 1 with value (4 61)
% 0.42/0.62 ; 3 with value (4 13) 6 with value (4 28) 2 with value (4 79)
% 0.42/0.62 ; 2 with value (4 15) 4 with value (4 38) 1 with value (4 107)
% 0.42/0.62 ; 2 with value (4 16) 2 with value (4 39)
% 0.42/0.62 Evaluation took:
% 0.42/0.62 0.115 seconds of real time
% 0.42/0.62 0.101763 seconds of user run time
% 0.42/0.62 0.013052 seconds of system run time
% 0.42/0.62 0 calls to %EVAL
% 0.42/0.62 0 page faults and
% 0.42/0.62 8,230,728 bytes consed.
% 0.42/0.62 :PROOF-FOUND
% 0.42/0.62 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T08:44:57
% 0.42/0.62 :PROOF-FOUND
% 0.42/0.62 *
%------------------------------------------------------------------------------