TSTP Solution File: SYN069-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN069-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 21 11:57:18 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 9 unt; 4 nHn; 19 RR)
% Number of literals : 39 ( 0 equ; 19 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
( ~ big_f(X)
| big_g(f(X))
| ~ big_g(Y)
| ~ big_h(X,Y)
| big_k(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_2,axiom,
( ~ big_f(X)
| big_h(X,f(X))
| ~ big_g(Y)
| ~ big_h(X,Y)
| big_k(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_3,axiom,
( ~ big_f(X)
| ~ big_j(X,f(X))
| ~ big_g(Y)
| ~ big_h(X,Y)
| big_k(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_4,axiom,
( ~ big_l(X)
| ~ big_k(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_5,axiom,
big_f(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_6,axiom,
( ~ big_h(a,X)
| big_l(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_7,axiom,
( ~ big_g(X)
| ~ big_h(a,X)
| big_j(a,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_8,negated_conjecture,
( ~ big_f(X)
| big_g(g(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
cnf(clause_9,negated_conjecture,
( ~ big_f(X)
| big_h(X,g(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
cnf(10,plain,
big_g(g(a)),
inference('HYPERRESOLVE',[status(thm)],[clause_8,clause_5]) ).
cnf(11,plain,
big_h(a,g(a)),
inference('HYPERRESOLVE',[status(thm)],[clause_9,clause_5]) ).
cnf(12,plain,
big_l(g(a)),
inference('HYPERRESOLVE',[status(thm)],[clause_6,11]) ).
cnf(14,plain,
( big_g(f(a))
| big_k(g(a)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_1,11,clause_5,10]) ).
cnf(15,plain,
( big_h(a,f(a))
| big_k(g(a)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_2,11,clause_5,10]) ).
cnf(16,plain,
~ big_k(g(a)),
inference('UR-RESOLVE',[status(thm)],[clause_4,12]) ).
cnf(17,plain,
big_g(f(a)),
inference('REWRITE',[status(thm)],[14,16]) ).
cnf(18,plain,
big_h(a,f(a)),
inference('REWRITE',[status(thm)],[15,16]) ).
cnf(19,plain,
~ big_j(a,f(a)),
inference('UR-RESOLVE',[status(thm)],[clause_3,16,clause_5,10,11]) ).
cnf(21,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause_7,18,17]),19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN069-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n006.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 : Mon Jul 11 20:09:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-11T20:09:05
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-11T20:09:05
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 31 formulas have been input or derived (from 17 formulas).
% 0.19/0.51 ; 21 (68%) were retained. Of these,
% 0.19/0.51 ; 2 (10%) were simplified or subsumed later,
% 0.19/0.51 ; 19 (90%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.002 7% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 4% Assert (9 calls)
% 0.19/0.51 ; 0.000 0% Process new row (23 calls)
% 0.19/0.51 ; 0.002 7% Resolution (32 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (16 calls)
% 0.19/0.51 ; 0.000 0% Condensing (10 calls)
% 0.19/0.51 ; 0.001 4% Forward subsumption (10 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (10 calls)
% 0.19/0.51 ; 0.000 0% Forward simplification (23 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (21 calls)
% 0.19/0.51 ; 0.000 0% Ordering (3 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.021 78% Other
% 0.19/0.51 ; 0.027 Total
% 0.19/0.51 ; 0.029 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 28 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 8 entries (10 at peak, 10 added, 2 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 28 nodes (43 at peak, 43 added, 15 deleted).
% 0.19/0.51 ; Retrieved 0 possibly forward subsuming rows in 10 calls.
% 0.19/0.51 ; Retrieved 0 possibly backward subsumed rows in 10 calls.
% 0.19/0.51 ; Path-index has 29 entries (29 at peak, 32 added, 3 deleted).
% 0.19/0.51 ; Path-index has 52 nodes (52 at peak, 55 added, 3 deleted).
% 0.19/0.51 ; Trie-index has 29 entries (29 at peak, 32 added, 3 deleted).
% 0.19/0.51 ; Trie-index has 52 nodes (52 at peak, 56 added, 4 deleted).
% 0.19/0.51 ; Retrieved 3 generalization terms in 11 calls.
% 0.19/0.51 ; Retrieved 10 instance terms in 10 calls.
% 0.19/0.51 ; Retrieved 263 unifiable terms in 188 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 2 entries:
% 0.19/0.51 ; 1 with value 13 1 with value 14
% 0.19/0.51 ; The agenda of rows to give has 2 entries:
% 0.19/0.51 ; 1 with value (4 8) 1 with value (4 10)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.03 seconds of real time
% 0.19/0.51 0.025068 seconds of user run time
% 0.19/0.51 0.004884 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 2,493,208 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T20:09:05
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------