TSTP Solution File: LAT012-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT012-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 06:41:50 EDT 2022
% Result : Unsatisfiable 0.97s 1.20s
% Output : Refutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 2 RR)
% Number of literals : 16 ( 15 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mckenzie1,axiom,
join(X,meet(Y,meet(X,Z))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mckenzie1) ).
cnf(mckenzie2,axiom,
meet(X,join(Y,join(X,Z))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mckenzie2) ).
cnf(mckenzie3,axiom,
join(join(meet(X,Y),meet(Y,Z)),Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mckenzie3) ).
cnf(mckenzie4,axiom,
meet(meet(join(X,Y),join(Y,Z)),Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mckenzie4) ).
cnf(prove_commutativity_of_meet,negated_conjecture,
meet(b,a) != meet(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity_of_meet) ).
cnf(6,plain,
join(X,meet(Y,X)) = X,
inference('PARAMODULATE',[status(thm)],[mckenzie1,mckenzie2,theory(equality)]) ).
cnf(7,plain,
meet(X,join(Y,X)) = X,
inference('PARAMODULATE',[status(thm)],[mckenzie2,mckenzie1,theory(equality)]) ).
cnf(9,plain,
join(meet(X,Y),Y) = Y,
inference('PARAMODULATE',[status(thm)],[mckenzie3,mckenzie1,theory(equality)]) ).
cnf(13,plain,
join(X,meet(X,Y)) = X,
inference('PARAMODULATE',[status(thm)],[mckenzie1,mckenzie4,theory(equality)]) ).
cnf(21,plain,
meet(meet(X,join(meet(Y,X),Z)),meet(Y,X)) = meet(Y,X),
inference('PARAMODULATE',[status(thm)],[mckenzie4,6,theory(equality)]) ).
cnf(29,plain,
join(X,join(Y,X)) = join(Y,X),
inference('PARAMODULATE',[status(thm)],[9,7,theory(equality)]) ).
cnf(34,plain,
meet(meet(X,Y),X) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[7,13,theory(equality)]) ).
cnf(49,plain,
join(meet(X,Y),X) = X,
inference('PARAMODULATE',[status(thm)],[29,13,theory(equality)]) ).
cnf(1906,plain,
meet(meet(X,Y),meet(Y,X)) = meet(Y,X),
inference('PARAMODULATE',[status(thm)],[21,49,theory(equality)]) ).
cnf(1970,plain,
meet(X,Y) = meet(Y,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[34,1906,theory(equality)]),1906,theory(equality)]) ).
cnf(1971,plain,
$false,
inference('REWRITE',[status(thm)],[prove_commutativity_of_meet,1970,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : LAT012-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.09 % Command : run-snark %s %d
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Wed Jun 29 13:31:43 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.12/0.36 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 *
% 0.12/0.37 *
% 0.12/0.37 #<PACKAGE "SNARK-USER">
% 0.12/0.37 *
% 0.12/0.37 SNARK-TPTP-OPTIONS
% 0.12/0.37 *
% 0.12/0.37 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.12/0.37 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.12/0.37 (USE-FACTORING :POS)
% 0.12/0.37 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.12/0.37 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.12/0.37 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.12/0.37 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.12/0.37 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.12/0.37 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.12/0.37 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.12/0.37 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.12/0.37 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.12/0.37 (DECLARE-TPTP-SYMBOLS2))
% 0.12/0.37 *
% 0.12/0.37 "."
% 0.12/0.37 *
% 0.12/0.37 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T13:31:43
% 0.12/0.37 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-29T13:31:43
% 0.97/1.20
% 0.97/1.20
% 0.97/1.20 #||
% 0.97/1.20 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.97/1.20 % SZS output start Refutation
% See solution above
% 0.97/1.20 ||#
% 0.97/1.20
% 0.97/1.20 ; Summary of computation:
% 0.97/1.20 ; 16846 formulas have been input or derived (from 130 formulas).
% 0.97/1.20 ; 1971 (12%) were retained. Of these,
% 0.97/1.20 ; 1 ( 0%) were simplified or subsumed later,
% 0.97/1.20 ; 1970 (100%) are still being kept.
% 0.97/1.20 ;
% 0.97/1.20 ; Run time in seconds excluding printing time:
% 0.97/1.20 ; 0.001 0% Read assertion file (1 call)
% 0.97/1.20 ; 0.000 0% Assert (5 calls)
% 0.97/1.20 ; 0.177 21% Process new row (12,467 calls)
% 0.97/1.20 ; 0.014 2% Resolution (258 calls)
% 0.97/1.20 ; 0.174 21% Paramodulation (129 calls)
% 0.97/1.20 ; 0.331 40% Forward simplification (12,467 calls)
% 0.97/1.20 ; 0.033 4% Backward simplification (1,971 calls)
% 0.97/1.20 ; 0.039 5% Ordering (21,328 calls)
% 0.97/1.20 ; 0.000 0% Sortal reasoning (32 calls)
% 0.97/1.20 ; 0.000 0% Purity testing (1 call)
% 0.97/1.20 ; 0.057 7% Other
% 0.97/1.20 ; 0.826 Total
% 0.97/1.20 ; 0.828 Real time
% 0.97/1.20 ;
% 0.97/1.20 ; Term-hash-array has 5,458 terms in all.
% 0.97/1.20 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.97/1.20 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.97/1.20 ; Path-index has 5,455 entries (5,460 at peak, 5,460 added, 5 deleted).
% 0.97/1.20 ; Path-index has 5,135 nodes (5,145 at peak, 5,145 added, 10 deleted).
% 0.97/1.20 ; Trie-index has 5,455 entries (5,460 at peak, 5,460 added, 5 deleted).
% 0.97/1.20 ; Trie-index has 14,107 nodes (14,118 at peak, 14,118 added, 11 deleted).
% 0.97/1.20 ; Retrieved 200,400 generalization terms in 79,763 calls.
% 0.97/1.20 ; Retrieved 7,245 instance terms in 1,970 calls.
% 0.97/1.20 ; Retrieved 47,176 unifiable terms in 822 calls.
% 0.97/1.20 ;
% 0.97/1.20 ; The agenda of rows to process has 221 entries:
% 0.97/1.20 ; 17 with value 19 25 with value 25 13 with value 31
% 0.97/1.20 ; 1 with value 20 15 with value 26 10 with value 32
% 0.97/1.20 ; 7 with value 21 29 with value 27 14 with value 33
% 0.97/1.20 ; 23 with value 22 11 with value 28 1 with value 36
% 0.97/1.20 ; 9 with value 23 8 with value 29 1 with value 38
% 0.97/1.20 ; 35 with value 24 2 with value 30
% 0.97/1.20 ; The agenda of rows to give has 1841 entries:
% 0.97/1.20 ; 1 with value (4 14) 124 with value (4 30) 91 with value (4 39)
% 0.97/1.20 ; 1 with value (4 19) 126 with value (4 31) 49 with value (4 40)
% 0.97/1.20 ; 57 with value (4 22) 157 with value (4 32) 11 with value (4 41)
% 0.97/1.20 ; 79 with value (4 23) 62 with value (4 33) 18 with value (4 42)
% 0.97/1.20 ; 130 with value (4 24) 126 with value (4 34) 11 with value (4 43)
% 0.97/1.20 ; 79 with value (4 25) 43 with value (4 35) 8 with value (4 44)
% 0.97/1.20 ; 140 with value (4 26) 17 with value (4 36) 6 with value (4 45)
% 0.97/1.20 ; 199 with value (4 27) 32 with value (4 37) 4 with value (4 46)
% 0.97/1.20 ; 120 with value (4 28) 48 with value (4 38) 2 with value (4 47)
% 0.97/1.20 ; 100 with value (4 29)
% 0.97/1.20 Evaluation took:
% 0.97/1.20 0.828 seconds of real time
% 0.97/1.20 0.75012 seconds of user run time
% 0.97/1.20 0.077569 seconds of system run time
% 0.97/1.20 [Run times include 0.064 seconds GC run time.]
% 0.97/1.20 0 calls to %EVAL
% 0.97/1.20 0 page faults and
% 0.97/1.20 65,360,640 bytes consed.
% 0.97/1.20 :PROOF-FOUND
% 0.97/1.20 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T13:31:44
% 0.97/1.20 :PROOF-FOUND
% 0.97/1.20 *
%------------------------------------------------------------------------------