%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG011-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 : Thu Jul 14 17:59:36 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 10 unt; 2 nHn; 12 RR)
% Number of literals : 22 ( 1 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f_is_associative,axiom,
f(X,f(Y,Z)) = f(f(X,Y),Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative) ).
cnf(partitions_union,axiom,
( c(X)
| d(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_union) ).
cnf(partitions_exclusive,hypothesis,
( ~ c(X)
| ~ d(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive) ).
cnf(partition_c_not_empty,hypothesis,
c(a1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partition_c_not_empty) ).
cnf(partition_d_not_empty,hypothesis,
d(a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partition_d_not_empty) ).
cnf(conjecture_1,negated_conjecture,
( d(f(X,Y))
| ~ c(X)
| ~ c(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1) ).
cnf(conjecture_2,negated_conjecture,
( c(f(X,Y))
| ~ d(X)
| ~ d(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2) ).
cnf(10,plain,
d(f(a1,a1)),
inference('HYPERRESOLVE',[status(thm)],[conjecture_1,partition_c_not_empty,partition_c_not_empty]) ).
cnf(11,plain,
c(f(a2,a2)),
inference('HYPERRESOLVE',[status(thm)],[conjecture_2,partition_d_not_empty,partition_d_not_empty]) ).
cnf(12,plain,
( c(X)
| c(f(a2,X)) ),
inference('HYPERRESOLVE',[status(thm)],[conjecture_2,partition_d_not_empty,partitions_union]) ).
cnf(22,plain,
c(f(a2,f(a1,a1))),
inference('HYPERRESOLVE',[status(thm)],[conjecture_2,10,partition_d_not_empty]) ).
cnf(27,plain,
d(f(a2,f(a2,a1))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[conjecture_1,11,partition_c_not_empty]),f_is_associative,theory(equality)]) ).
cnf(54,plain,
~ d(f(a2,f(a1,a1))),
inference('UR-RESOLVE',[status(thm)],[partitions_exclusive,22]) ).
cnf(66,plain,
c(f(a2,a1)),
inference('HYPERRESOLVE',[status(thm)],[partitions_exclusive,27,12]) ).
cnf(76,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[conjecture_1,66,partition_c_not_empty]),54,f_is_associative,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG011-1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 03:24:50 EDT 2022
% 0.12/0.34 % 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 2022-06-08T03:24:50
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-08T03:24:50
% 0.20/0.48
% 0.20/0.52 ; Recognized associativity assertion (= (|f| ?X (|f| ?Y ?Z)) (|f| (|f| ?X ?Y) ?Z)).
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 161 formulas have been input or derived (from 20 formulas).
% 0.20/0.52 ; 76 (47%) were retained. Of these,
% 0.20/0.52 ; 76 (100%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.001 2% Read assertion file (1 call)
% 0.20/0.52 ; 0.001 2% Assert (7 calls)
% 0.20/0.52 ; 0.007 15% Process new row (122 calls)
% 0.20/0.52 ; 0.005 10% Resolution (38 calls)
% 0.20/0.52 ; 0.000 0% Paramodulation (19 calls)
% 0.20/0.52 ; 0.000 0% Factoring (3 calls)
% 0.20/0.52 ; 0.000 0% Condensing (37 calls)
% 0.20/0.52 ; 0.002 4% Forward subsumption (37 calls)
% 0.20/0.52 ; 0.001 2% Backward subsumption (33 calls)
% 0.20/0.52 ; 0.000 0% Clause clause subsumption (130 calls)
% 0.20/0.52 ; 0.006 12% Forward simplification (122 calls)
% 0.20/0.52 ; 0.000 0% Backward simplification (76 calls)
% 0.20/0.52 ; 0.005 10% Ordering (497 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.020 42% Other
% 0.20/0.52 ; 0.048 Total
% 0.20/0.52 ; 0.050 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 148 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 71 nodes (71 at peak, 71 added, 0 deleted).
% 0.20/0.52 ; Retrieved 90 possibly forward subsuming rows in 37 calls.
% 0.20/0.52 ; Retrieved 47 possibly backward subsumed rows in 33 calls.
% 0.20/0.52 ; Path-index has 150 entries (150 at peak, 150 added, 0 deleted).
% 0.20/0.52 ; Path-index has 192 nodes (192 at peak, 192 added, 0 deleted).
% 0.20/0.52 ; Trie-index has 150 entries (150 at peak, 150 added, 0 deleted).
% 0.20/0.52 ; Trie-index has 413 nodes (413 at peak, 413 added, 0 deleted).
% 0.20/0.52 ; Retrieved 338 generalization terms in 497 calls.
% 0.20/0.52 ; Retrieved 55 instance terms in 54 calls.
% 0.20/0.52 ; Retrieved 716 unifiable terms in 165 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 23 entries:
% 0.20/0.52 ; 3 with value 13 8 with value 15 12 with value 18
% 0.20/0.52 ; The agenda of rows to give has 56 entries:
% 0.20/0.52 ; 1 with value (4 10) 12 with value (4 14) 2 with value (4 18)
% 0.20/0.52 ; 1 with value (4 11) 4 with value (4 16) 9 with value (4 19)
% 0.20/0.52 ; 3 with value (4 12) 8 with value (4 17) 13 with value (4 20)
% 0.20/0.52 ; 3 with value (4 13)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.05 seconds of real time
% 0.20/0.52 0.043298 seconds of user run time
% 0.20/0.52 0.006926 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 2,976,104 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T03:24:50
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------