%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE093+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 02:26:36 EDT 2022
% Result : Theorem 1.00s 1.21s
% Output : Refutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 11 unt; 0 nHn; 4 RR)
% Number of literals : 13 ( 10 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
multiplication(X,one) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).
cnf(11,axiom,
( ~ leq(X,Y)
| addition(X,Y) = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',order) ).
cnf(13,axiom,
leq(addition(one,multiplication(X,star(X))),star(X)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).
cnf(17,axiom,
addition(X,multiplication(domain(X),X)) = multiplication(domain(X),X),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain1) ).
cnf(20,axiom,
addition(domain(X),one) = one,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain3) ).
cnf(23,axiom,
domain(addition(X,Y)) = addition(domain(X),domain(Y)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain5) ).
cnf(25,negated_conjecture,
domain(star('SKOLEMAAAV1')) != one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(42,plain,
addition(one,addition(multiplication(X,star(X)),star(X))) = star(X),
inference('HYPERRESOLVE',[status(thm)],[11,13]) ).
cnf(61,plain,
one = domain(one),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[17,5,theory(equality)]),20,theory(equality)]) ).
cnf(210,plain,
domain(addition(X,one)) = one,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[23,61,theory(equality)]),20,theory(equality)]) ).
cnf(674,plain,
domain(star(X)) = one,
inference('PARAMODULATE',[status(thm)],[210,42,theory(equality)]) ).
cnf(675,plain,
$false,
inference('REWRITE',[status(thm)],[25,674,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE093+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 12:57:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T12:57:05
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-16T12:57:05
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.20/0.50 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.20/0.50 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.20/0.50 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.20/0.51 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.20/0.51 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.20/0.51 ; Declaring addition to be commutative.
% 1.00/1.21 ; Declaring addition to be associative-commutative.
% 1.00/1.21
% 1.00/1.21 #||
% 1.00/1.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.00/1.21 % SZS output start Refutation
% See solution above
% 1.00/1.21 ||#
% 1.00/1.21
% 1.00/1.21 ; Summary of computation:
% 1.00/1.21 ; 4596 formulas have been input or derived (from 104 formulas).
% 1.00/1.21 ; 675 (15%) were retained. Of these,
% 1.00/1.21 ; 167 (25%) were simplified or subsumed later,
% 1.00/1.21 ; 508 (75%) are still being kept.
% 1.00/1.21 ;
% 1.00/1.21 ; Run time in seconds excluding printing time:
% 1.00/1.21 ; 0.005 1% Read assertion file (1 call)
% 1.00/1.21 ; 0.001 0% Assert (22 calls)
% 1.00/1.21 ; 0.061 9% Process new row (4,304 calls)
% 1.00/1.21 ; 0.016 2% Resolution (206 calls)
% 1.00/1.21 ; 0.067 9% Paramodulation (103 calls)
% 1.00/1.21 ; 0.004 1% Embedding (85 calls)
% 1.00/1.21 ; 0.023 3% Condensing (500 calls)
% 1.00/1.21 ; 0.014 2% Forward subsumption (500 calls)
% 1.00/1.21 ; 0.003 0% Backward subsumption (175 calls)
% 1.00/1.21 ; 0.011 2% Clause clause subsumption (1,150 calls)
% 1.00/1.21 ; 0.408 57% Forward simplification (4,208 calls)
% 1.00/1.21 ; 0.033 5% Backward simplification (599 calls)
% 1.00/1.21 ; 0.016 2% Ordering (2,993 calls)
% 1.00/1.21 ; 0.010 1% Ordering ac (830 calls)
% 1.00/1.21 ; 0.000 0% Sortal reasoning (32 calls)
% 1.00/1.21 ; 0.000 0% Purity testing (1 call)
% 1.00/1.21 ; 0.045 6% Other
% 1.00/1.21 ; 0.717 Total
% 1.00/1.21 ; 0.719 Real time
% 1.00/1.21 ;
% 1.00/1.21 ; Term-hash-array has 1,577 terms in all.
% 1.00/1.21 ; Feature-vector-row-index has 139 entries (140 at peak, 175 added, 36 deleted).
% 1.00/1.21 ; Feature-vector-row-index has 720 nodes (726 at peak, 1,090 added, 370 deleted).
% 1.00/1.21 ; Retrieved 1,533 possibly forward subsuming rows in 500 calls.
% 1.00/1.21 ; Retrieved 137 possibly backward subsumed rows in 175 calls.
% 1.00/1.21 ; Path-index has 1,178 entries (1,192 at peak, 1,640 added, 462 deleted).
% 1.00/1.21 ; Path-index has 784 nodes (795 at peak, 940 added, 156 deleted).
% 1.00/1.21 ; Trie-index has 1,178 entries (1,192 at peak, 1,640 added, 462 deleted).
% 1.00/1.21 ; Trie-index has 888 nodes (910 at peak, 1,082 added, 194 deleted).
% 1.00/1.21 ; Retrieved 334,876 generalization terms in 30,543 calls.
% 1.00/1.21 ; Retrieved 2,407 instance terms in 452 calls.
% 1.00/1.21 ; Retrieved 7,868 unifiable terms in 673 calls.
% 1.00/1.21 ;
% 1.00/1.21 ; The agenda of rows to process has 105 entries:
% 1.00/1.21 ; 3 with value 12 1 with value 19 4 with value 25
% 1.00/1.21 ; 3 with value 13 7 with value 20 8 with value 26
% 1.00/1.21 ; 5 with value 14 9 with value 21 3 with value 28
% 1.00/1.21 ; 8 with value 15 11 with value 22 2 with value 29
% 1.00/1.21 ; 8 with value 16 6 with value 23 1 with value 30
% 1.00/1.21 ; 6 with value 17 12 with value 24 1 with value 32
% 1.00/1.21 ; 7 with value 18
% 1.00/1.21 ; The agenda of rows to give has 425 entries:
% 1.00/1.21 ; 1 with value (4 8) 17 with value (4 23) 14 with value (4 32)
% 1.00/1.21 ; 1 with value (4 9) 31 with value (4 24) 11 with value (4 33)
% 1.00/1.21 ; 1 with value (4 11) 19 with value (4 25) 8 with value (4 34)
% 1.00/1.21 ; 25 with value (4 17) 25 with value (4 26) 7 with value (4 35)
% 1.00/1.21 ; 34 with value (4 18) 29 with value (4 27) 1 with value (4 36)
% 1.00/1.21 ; 31 with value (4 19) 30 with value (4 28) 5 with value (4 37)
% 1.00/1.21 ; 35 with value (4 20) 17 with value (4 29) 4 with value (4 39)
% 1.00/1.21 ; 35 with value (4 21) 4 with value (4 30) 4 with value (4 40)
% 1.00/1.21 ; 24 with value (4 22) 12 with value (4 31)
% 1.00/1.21 Evaluation took:
% 1.00/1.21 0.719 seconds of real time
% 1.00/1.21 0.683883 seconds of user run time
% 1.00/1.21 0.035105 seconds of system run time
% 1.00/1.21 [Run times include 0.021 seconds GC run time.]
% 1.00/1.21 0 calls to %EVAL
% 1.00/1.21 0 page faults and
% 1.00/1.21 54,568,512 bytes consed.
% 1.00/1.21 :PROOF-FOUND
% 1.00/1.21 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T12:57:06
% 1.00/1.21 :PROOF-FOUND
% 1.00/1.21 *
%------------------------------------------------------------------------------