%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT171-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 06:42:37 EDT 2022
% Result : Unsatisfiable 0.38s 0.57s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 2 RR)
% Number of literals : 8 ( 7 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(absorption1,axiom,
meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(6,plain,
meet(X,meet(join(X,Y),Z)) = meet(X,Z),
inference('EMBED',[status(thm)],[absorption1]) ).
cnf(absorption2,axiom,
join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(equation_H61_dual,axiom,
join(meet(X,Y),meet(X,Z)) = meet(X,join(meet(X,Y),meet(join(X,Y),Z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H61_dual) ).
cnf(prove_H6,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H6) ).
cnf(24,plain,
join(meet(X,join(meet(X,Y),Z)),meet(X,Y)) = meet(X,join(meet(X,Y),Z)),
inference('PARAMODULATE',[status(thm)],[absorption2,absorption1,theory(equality)]) ).
cnf(58,plain,
join(meet(X,join(Y,Z)),meet(X,U)) = meet(X,join(meet(X,join(Y,Z)),meet(join(X,Y),U))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[equation_H61_dual,6,theory(equality)]),absorption1,theory(equality)]) ).
cnf(60,plain,
$false,
inference('REWRITE',[status(thm)],[prove_H6,24,58,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT171-1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 29 06:42:57 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T06:42:57
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-29T06:42:57
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.20/0.49 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.20/0.49 ; Recognized associativity assertion (= (|meet| (|meet| ?X ?Y) ?Z) (|meet| ?X (|meet| ?Y ?Z))).
% 0.20/0.49 ; Recognized associativity assertion (= (|join| (|join| ?X ?Y) ?Z) (|join| ?X (|join| ?Y ?Z))).
% 0.20/0.49 ; Declaring meet to be commutative.
% 0.20/0.49 ; Declaring meet to be associative-commutative.
% 0.20/0.49 ; Declaring join to be commutative.
% 0.38/0.57 ; Declaring join to be associative-commutative.
% 0.38/0.57
% 0.38/0.57 #||
% 0.38/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.57 % SZS output start Refutation
% See solution above
% 0.38/0.57 ||#
% 0.38/0.57
% 0.38/0.57 ; Summary of computation:
% 0.38/0.57 ; 402 formulas have been input or derived (from 10 formulas).
% 0.38/0.57 ; 60 (15%) were retained. Of these,
% 0.38/0.57 ; 1 ( 2%) were simplified or subsumed later,
% 0.38/0.57 ; 59 (98%) are still being kept.
% 0.38/0.57 ;
% 0.38/0.57 ; Run time in seconds:
% 0.38/0.57 ; 0.003 3% Read assertion file (1 call)
% 0.38/0.57 ; 0.000 0% Assert (10 calls)
% 0.38/0.57 ; 0.008 8% Process new row (296 calls)
% 0.38/0.57 ; 0.002 2% Resolution (18 calls)
% 0.38/0.57 ; 0.012 13% Paramodulation (9 calls)
% 0.38/0.57 ; 0.001 1% Embedding (29 calls)
% 0.38/0.57 ; 0.037 39% Forward simplification (267 calls)
% 0.38/0.57 ; 0.005 5% Backward simplification (31 calls)
% 0.38/0.57 ; 0.001 1% Ordering (153 calls)
% 0.38/0.57 ; 0.001 1% Ordering ac (101 calls)
% 0.38/0.57 ; 0.001 1% Sortal reasoning (32 calls)
% 0.38/0.57 ; 0.000 0% Purity testing (1 call)
% 0.38/0.57 ; 0.024 25% Other
% 0.38/0.57 ; 0.095 Total
% 0.38/0.57 ; 0.096 Real time
% 0.38/0.57 ;
% 0.38/0.57 ; Term-hash-array has 201 terms in all.
% 0.38/0.57 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.38/0.57 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.38/0.57 ; Path-index has 196 entries (201 at peak, 207 added, 11 deleted).
% 0.38/0.57 ; Path-index has 50 nodes (76 at peak, 79 added, 29 deleted).
% 0.38/0.57 ; Trie-index has 196 entries (201 at peak, 207 added, 11 deleted).
% 0.38/0.57 ; Trie-index has 15 nodes (15 at peak, 18 added, 3 deleted).
% 0.38/0.57 ; Retrieved 11,312 generalization terms in 1,684 calls.
% 0.38/0.57 ; Retrieved 347 instance terms in 30 calls.
% 0.38/0.57 ; Retrieved 228 unifiable terms in 42 calls.
% 0.38/0.57 ;
% 0.38/0.57 ; The agenda of rows to process has 96 entries:
% 0.38/0.57 ; 2 with value 33 6 with value 44 1 with value 54
% 0.38/0.57 ; 9 with value 34 3 with value 45 1 with value 55
% 0.38/0.57 ; 2 with value 35 3 with value 46 3 with value 56
% 0.38/0.57 ; 1 with value 36 3 with value 47 3 with value 57
% 0.38/0.57 ; 8 with value 37 2 with value 48 1 with value 59
% 0.38/0.57 ; 3 with value 38 4 with value 49 1 with value 60
% 0.38/0.57 ; 5 with value 39 2 with value 50 2 with value 61
% 0.38/0.57 ; 4 with value 40 4 with value 51 2 with value 62
% 0.38/0.57 ; 4 with value 41 3 with value 52 2 with value 67
% 0.38/0.57 ; 3 with value 42 2 with value 53 1 with value 88
% 0.38/0.57 ; 6 with value 43
% 0.38/0.57 ; The agenda of input rows to give has 1 entry:
% 0.38/0.57 ; 1 with value 24
% 0.38/0.57 ; The agenda of rows to give has 48 entries:
% 0.38/0.57 ; 2 with value (4 18) 2 with value (4 23) 2 with value (4 29)
% 0.38/0.57 ; 4 with value (4 20) 4 with value (4 24) 4 with value (4 30)
% 0.38/0.57 ; 6 with value (4 21) 4 with value (4 25) 6 with value (4 31)
% 0.38/0.57 ; 6 with value (4 22) 4 with value (4 27) 4 with value (4 33)
% 0.38/0.57 Evaluation took:
% 0.38/0.57 0.096 seconds of real time
% 0.38/0.57 0.091129 seconds of user run time
% 0.38/0.57 0.005136 seconds of system run time
% 0.38/0.57 0 calls to %EVAL
% 0.38/0.57 0 page faults and
% 0.38/0.57 6,707,568 bytes consed.
% 0.38/0.57 :PROOF-FOUND
% 0.38/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T06:42:57
% 0.38/0.57 :PROOF-FOUND
% 0.38/0.57 *
%------------------------------------------------------------------------------