TSTP Solution File: COL023-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL023-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 : Fri Jul 15 00:41:37 EDT 2022
% Result : Unsatisfiable 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 3 RR)
% Number of literals : 6 ( 5 equ; 2 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; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b_definition,axiom,
apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
cnf(n_definition,axiom,
apply(apply(apply(n,X),Y),Z) = apply(apply(apply(X,Z),Y),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_definition) ).
cnf(prove_fixed_point,negated_conjecture,
X != apply(combinator,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
cnf(4,plain,
apply(X,Y) != apply(apply(apply(b,combinator),X),Y),
inference('PARAMODULATE',[status(thm)],[prove_fixed_point,b_definition,theory(equality)]) ).
cnf(12,plain,
apply(apply(apply(n,apply(b,X)),Y),Z) = apply(apply(X,apply(Z,Y)),Z),
inference('PARAMODULATE',[status(thm)],[n_definition,b_definition,theory(equality)]) ).
cnf(66,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[4,12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL023-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue May 31 15:45:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T15:45:26
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-05-31T15:45:26
% 0.19/0.55
% 0.19/0.55
% 0.19/0.55 #||
% 0.19/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.55 % SZS output start Refutation
% See solution above
% 0.19/0.55 ||#
% 0.19/0.55
% 0.19/0.55 ; Summary of computation:
% 0.19/0.55 ; 165 formulas have been input or derived (from 8 formulas).
% 0.19/0.55 ; 66 (40%) were retained. Of these,
% 0.19/0.55 ; 66 (100%) are still being kept.
% 0.19/0.55 ;
% 0.19/0.55 ; Run time in seconds excluding printing time:
% 0.19/0.55 ; 0.001 1% Read assertion file (1 call)
% 0.19/0.55 ; 0.000 0% Assert (3 calls)
% 0.19/0.55 ; 0.012 17% Process new row (106 calls)
% 0.19/0.55 ; 0.002 3% Resolution (14 calls)
% 0.19/0.55 ; 0.005 7% Paramodulation (7 calls)
% 0.19/0.55 ; 0.011 15% Forward simplification (106 calls)
% 0.19/0.55 ; 0.003 4% Backward simplification (66 calls)
% 0.19/0.55 ; 0.011 15% Ordering (1,315 calls)
% 0.19/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.55 ; 0.000 0% Purity testing (1 call)
% 0.19/0.55 ; 0.027 38% Other
% 0.19/0.55 ; 0.072 Total
% 0.19/0.55 ; 0.074 Real time
% 0.19/0.55 ;
% 0.19/0.55 ; Term-hash-array has 359 terms in all.
% 0.19/0.55 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.55 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.55 ; Path-index has 362 entries (362 at peak, 362 added, 0 deleted).
% 0.19/0.55 ; Path-index has 284 nodes (284 at peak, 284 added, 0 deleted).
% 0.19/0.55 ; Trie-index has 362 entries (362 at peak, 362 added, 0 deleted).
% 0.19/0.55 ; Trie-index has 1,374 nodes (1,374 at peak, 1,374 added, 0 deleted).
% 0.19/0.55 ; Retrieved 2,140 generalization terms in 946 calls.
% 0.19/0.55 ; Retrieved 424 instance terms in 155 calls.
% 0.19/0.55 ; Retrieved 992 unifiable terms in 65 calls.
% 0.19/0.55 ;
% 0.19/0.55 ; The agenda of rows to process has 58 entries:
% 0.19/0.55 ; 1 with value 21 7 with value 29 2 with value 38
% 0.19/0.55 ; 1 with value 24 7 with value 31 3 with value 39
% 0.19/0.55 ; 1 with value 25 6 with value 32 1 with value 40
% 0.19/0.55 ; 3 with value 26 8 with value 34 1 with value 41
% 0.19/0.55 ; 6 with value 27 2 with value 36 1 with value 47
% 0.19/0.55 ; 2 with value 28 5 with value 37 1 with value 54
% 0.19/0.55 ; The agenda of rows to give has 58 entries:
% 0.19/0.55 ; 2 with value (4 23) 13 with value (4 26) 5 with value (4 29)
% 0.19/0.55 ; 3 with value (4 24) 3 with value (4 27) 7 with value (4 30)
% 0.19/0.55 ; 6 with value (4 25) 16 with value (4 28) 3 with value (4 31)
% 0.19/0.55 Evaluation took:
% 0.19/0.55 0.075 seconds of real time
% 0.19/0.55 0.063475 seconds of user run time
% 0.19/0.55 0.010865 seconds of system run time
% 0.19/0.55 0 calls to %EVAL
% 0.19/0.55 0 page faults and
% 0.19/0.55 3,407,168 bytes consed.
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T15:45:26
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 *
%------------------------------------------------------------------------------