TSTP Solution File: KLE048+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE048+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 02:26:23 EDT 2022
% Result : Theorem 0.92s 1.14s
% Output : Refutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 26 ( 21 unt; 0 nHn; 14 RR)
% Number of literals : 31 ( 15 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
addition(X,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_idempotence) ).
cnf(3,plain,
addition(X,addition(X,Y)) = addition(X,Y),
inference('EMBED',[status(thm)],[2]) ).
cnf(5,axiom,
multiplication(X,one) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).
cnf(6,axiom,
multiplication(one,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+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/KLE002+0.ax',left_distributivity) ).
cnf(11,axiom,
( ~ leq(X,Y)
| addition(X,Y) = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',order) ).
cnf(12,axiom,
( leq(X,Y)
| addition(X,Y) != Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',order) ).
cnf(13,axiom,
leq(addition(one,multiplication(X,star(X))),star(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).
cnf(15,axiom,
( ~ leq(addition(multiplication(X,Y),Z),Y)
| leq(multiplication(star(X),Z),Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_induction_left) ).
cnf(17,axiom,
( ~ test(X)
| complement('SKOLEMAAAV1'(X),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_1) ).
cnf(21,axiom,
( ~ complement(X,Y)
| addition(X,Y) = one ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(26,negated_conjecture,
test('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(27,negated_conjecture,
star('SKOLEMAAAV2') != one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(28,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV2'),'SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[17,26]) ).
cnf(31,plain,
leq(X,X),
inference('HYPERRESOLVE',[status(thm)],[12,2]) ).
cnf(32,plain,
leq(X,addition(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[12,3]) ).
cnf(38,plain,
addition(one,addition(multiplication(X,star(X)),star(X))) = star(X),
inference('HYPERRESOLVE',[status(thm)],[11,13]) ).
cnf(110,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV2'),'SKOLEMAAAV2') = one,
inference('HYPERRESOLVE',[status(thm)],[21,28]) ).
cnf(132,plain,
leq('SKOLEMAAAV2',one),
inference('PARAMODULATE',[status(thm)],[32,110,theory(equality)]) ).
cnf(141,plain,
addition('SKOLEMAAAV2',one) = one,
inference('HYPERRESOLVE',[status(thm)],[11,132]) ).
cnf(192,plain,
X = addition(multiplication('SKOLEMAAAV2',X),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,141,theory(equality)]),6,theory(equality)]) ).
cnf(193,plain,
addition(multiplication('SKOLEMAAAV2',X),addition(X,Y)) = addition(X,Y),
inference('EMBED',[status(thm)],[192]) ).
cnf(350,plain,
leq(multiplication(star('SKOLEMAAAV2'),X),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[15,192,theory(equality)]),31]) ).
cnf(472,plain,
leq(star('SKOLEMAAAV2'),one),
inference('PARAMODULATE',[status(thm)],[350,5,theory(equality)]) ).
cnf(477,plain,
addition(star('SKOLEMAAAV2'),one) = one,
inference('HYPERRESOLVE',[status(thm)],[11,472]) ).
cnf(650,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[193,38,theory(equality)]),27,477,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KLE048+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Thu Jun 16 12:13:24 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.50 *
% 0.22/0.50 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T12:13:24
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-16T12:13:24
% 0.22/0.52
% 0.22/0.52 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.22/0.52 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.22/0.52 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.22/0.52 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.22/0.52 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.22/0.53 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.22/0.53 ; Declaring addition to be commutative.
% 0.92/1.14 ; Declaring addition to be associative-commutative.
% 0.92/1.14
% 0.92/1.14 #||
% 0.92/1.14 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.14 % SZS output start Refutation
% See solution above
% 0.92/1.15 ||#
% 0.92/1.15
% 0.92/1.15 ; Summary of computation:
% 0.92/1.15 ; 4260 formulas have been input or derived (from 138 formulas).
% 0.92/1.15 ; 650 (15%) were retained. Of these,
% 0.92/1.15 ; 109 (17%) were simplified or subsumed later,
% 0.92/1.15 ; 541 (83%) are still being kept.
% 0.92/1.15 ;
% 0.92/1.15 ; Run time in seconds excluding printing time:
% 0.92/1.15 ; 0.005 1% Read assertion file (1 call)
% 0.92/1.15 ; 0.002 0% Assert (21 calls)
% 0.92/1.15 ; 0.069 11% Process new row (3,970 calls)
% 0.92/1.15 ; 0.018 3% Resolution (274 calls)
% 0.92/1.15 ; 0.068 11% Paramodulation (137 calls)
% 0.92/1.15 ; 0.000 0% Factoring (4 calls)
% 0.92/1.15 ; 0.000 0% Embedding (58 calls)
% 0.92/1.15 ; 0.031 5% Condensing (666 calls)
% 0.92/1.15 ; 0.041 6% Forward subsumption (666 calls)
% 0.92/1.15 ; 0.011 2% Backward subsumption (292 calls)
% 0.92/1.15 ; 0.019 3% Clause clause subsumption (1,659 calls)
% 0.92/1.15 ; 0.305 48% Forward simplification (3,884 calls)
% 0.92/1.15 ; 0.009 1% Backward simplification (595 calls)
% 0.92/1.15 ; 0.004 1% Ordering (2,373 calls)
% 0.92/1.15 ; 0.011 2% Ordering ac (387 calls)
% 0.92/1.15 ; 0.001 0% Sortal reasoning (32 calls)
% 0.92/1.15 ; 0.000 0% Purity testing (1 call)
% 0.92/1.15 ; 0.042 7% Other
% 0.92/1.15 ; 0.636 Total
% 0.92/1.15 ; 0.638 Real time
% 0.92/1.15 ;
% 0.92/1.15 ; Term-hash-array has 1,461 terms in all.
% 0.92/1.15 ; Feature-vector-row-index has 263 entries (263 at peak, 292 added, 29 deleted).
% 0.92/1.15 ; Feature-vector-row-index has 1,455 nodes (1,459 at peak, 1,729 added, 274 deleted).
% 0.92/1.15 ; Retrieved 1,974 possibly forward subsuming rows in 666 calls.
% 0.92/1.15 ; Retrieved 241 possibly backward subsumed rows in 292 calls.
% 0.92/1.15 ; Path-index has 1,274 entries (1,275 at peak, 1,480 added, 206 deleted).
% 0.92/1.15 ; Path-index has 612 nodes (630 at peak, 696 added, 84 deleted).
% 0.92/1.15 ; Trie-index has 1,274 entries (1,275 at peak, 1,480 added, 206 deleted).
% 0.92/1.15 ; Trie-index has 832 nodes (846 at peak, 1,009 added, 177 deleted).
% 0.92/1.15 ; Retrieved 291,998 generalization terms in 23,025 calls.
% 0.92/1.15 ; Retrieved 679 instance terms in 320 calls.
% 0.92/1.15 ; Retrieved 15,590 unifiable terms in 1,245 calls.
% 0.92/1.15 ;
% 0.92/1.15 ; The agenda of rows to process has 53 entries:
% 0.92/1.15 ; 6 with value 17 4 with value 23 1 with value 30
% 0.92/1.15 ; 2 with value 18 4 with value 24 1 with value 32
% 0.92/1.15 ; 1 with value 19 2 with value 25 1 with value 34
% 0.92/1.15 ; 6 with value 20 8 with value 26 2 with value 50
% 0.92/1.15 ; 4 with value 21 2 with value 28 4 with value 53
% 0.92/1.15 ; 4 with value 22 1 with value 29
% 0.92/1.15 ; The agenda of rows to give has 429 entries:
% 0.92/1.15 ; 1 with value (4 8) 17 with value (4 27) 2 with value (4 51)
% 0.92/1.15 ; 1 with value (4 10) 23 with value (4 28) 2 with value (4 52)
% 0.92/1.15 ; 1 with value (4 11) 10 with value (4 29) 8 with value (4 53)
% 0.92/1.15 ; 2 with value (4 12) 11 with value (4 30) 2 with value (4 55)
% 0.92/1.15 ; 2 with value (4 14) 4 with value (4 31) 4 with value (4 56)
% 0.92/1.15 ; 1 with value (4 15) 9 with value (4 32) 4 with value (4 57)
% 0.92/1.15 ; 2 with value (4 16) 3 with value (4 33) 3 with value (4 59)
% 0.92/1.15 ; 33 with value (4 17) 8 with value (4 34) 1 with value (4 61)
% 0.92/1.15 ; 20 with value (4 18) 3 with value (4 35) 4 with value (4 63)
% 0.92/1.15 ; 39 with value (4 19) 12 with value (4 36) 4 with value (4 65)
% 0.92/1.15 ; 26 with value (4 20) 4 with value (4 37) 2 with value (4 70)
% 0.92/1.15 ; 25 with value (4 21) 5 with value (4 38) 2 with value (4 74)
% 0.92/1.15 ; 10 with value (4 22) 8 with value (4 39) 4 with value (4 77)
% 0.92/1.15 ; 27 with value (4 23) 2 with value (4 41) 4 with value (4 79)
% 0.92/1.15 ; 28 with value (4 24) 4 with value (4 43) 4 with value (4 97)
% 0.92/1.15 ; 19 with value (4 25) 4 with value (4 46) 1 with value (4 107)
% 0.92/1.15 ; 13 with value (4 26) 1 with value (4 49)
% 0.92/1.15 Evaluation took:
% 0.92/1.15 0.639 seconds of real time
% 0.92/1.15 0.593933 seconds of user run time
% 0.92/1.15 0.044977 seconds of system run time
% 0.92/1.15 [Run times include 0.016 seconds GC run time.]
% 0.92/1.15 0 calls to %EVAL
% 0.92/1.15 0 page faults and
% 0.92/1.15 49,191,840 bytes consed.
% 0.92/1.15 :PROOF-FOUND
% 0.92/1.15 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T12:13:24
% 0.92/1.15 :PROOF-FOUND
% 0.92/1.15 *
%------------------------------------------------------------------------------