TSTP Solution File: SYN077-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN077-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 11:57:24 EDT 2022
% Result : Unsatisfiable 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 18 ( 6 unt; 8 nHn; 14 RR)
% Number of literals : 35 ( 3 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
( ~ big_f(X,f(Y))
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_2,axiom,
( X != Y
| big_f(X,f(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_3,negated_conjecture,
( ~ big_f(X,a)
| ~ big_f(X,Y)
| big_f(g(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_4,negated_conjecture,
( ~ big_f(X,a)
| ~ big_f(X,Y)
| ~ big_f(Z,g(X,Y))
| ~ big_f(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_5,negated_conjecture,
( big_f(X,h(X))
| big_f(X,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_6,negated_conjecture,
( ~ big_f(X,h(Y))
| big_f(i(Y,X),X)
| big_f(Y,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_7,negated_conjecture,
( big_f(X,a)
| big_f(i(X,Y),h(X))
| ~ big_f(Y,h(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
cnf(8,plain,
big_f(X,f(X)),
inference('HYPERRESOLVE',[status(thm)],[clause_2,theory(equality)]) ).
cnf(9,plain,
( big_f(X,a)
| big_f(i(X,X),X) ),
inference('HYPERRESOLVE',[status(thm)],[clause_6,clause_5]) ).
cnf(10,plain,
( big_f(X,a)
| big_f(i(X,X),h(X)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_7,clause_5]) ).
cnf(18,plain,
( big_f(a,a)
| big_f(g(i(a,a),h(a)),h(a)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_3,10,9]) ).
cnf(25,plain,
( big_f(a,a)
| big_f(i(a,g(i(a,a),h(a))),h(a)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_7,18]) ).
cnf(26,plain,
( big_f(a,a)
| big_f(i(a,g(i(a,a),h(a))),g(i(a,a),h(a))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_6,18]) ).
cnf(44,plain,
big_f(a,a),
inference('HYPERRESOLVE',[status(thm)],[clause_4,26,9,10,25]) ).
cnf(47,plain,
~ big_f(a,g(a,f(a))),
inference('UR-RESOLVE',[status(thm)],[clause_4,44,8,8]) ).
cnf(48,plain,
big_f(g(a,f(a)),f(a)),
inference('HYPERRESOLVE',[status(thm)],[clause_3,44,8]) ).
cnf(55,plain,
g(a,f(a)) = a,
inference('HYPERRESOLVE',[status(thm)],[clause_1,48]) ).
cnf(56,plain,
$false,
inference('REWRITE',[status(thm)],[47,44,55,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN077-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n019.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 22:47:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T22:47:38
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-11T22:47:38
% 0.21/0.52
% 0.21/0.52
% 0.21/0.52 #||
% 0.21/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.52 % SZS output start Refutation
% See solution above
% 0.21/0.53 ||#
% 0.21/0.53
% 0.21/0.53 ; Summary of computation:
% 0.21/0.53 ; 91 formulas have been input or derived (from 32 formulas).
% 0.21/0.53 ; 56 (62%) were retained. Of these,
% 0.21/0.53 ; 18 (32%) were simplified or subsumed later,
% 0.21/0.53 ; 38 (68%) are still being kept.
% 0.21/0.53 ;
% 0.21/0.53 ; Run time in seconds excluding printing time:
% 0.21/0.53 ; 0.002 4% Read assertion file (1 call)
% 0.21/0.53 ; 0.000 0% Assert (7 calls)
% 0.21/0.53 ; 0.006 12% Process new row (73 calls)
% 0.21/0.53 ; 0.007 14% Resolution (62 calls)
% 0.21/0.53 ; 0.000 0% Paramodulation (31 calls)
% 0.21/0.53 ; 0.001 2% Factoring (19 calls)
% 0.21/0.53 ; 0.001 2% Condensing (49 calls)
% 0.21/0.53 ; 0.004 8% Forward subsumption (49 calls)
% 0.21/0.53 ; 0.000 0% Backward subsumption (42 calls)
% 0.21/0.53 ; 0.001 2% Clause clause subsumption (118 calls)
% 0.21/0.53 ; 0.002 4% Forward simplification (73 calls)
% 0.21/0.53 ; 0.002 4% Backward simplification (56 calls)
% 0.21/0.53 ; 0.001 2% Ordering (82 calls)
% 0.21/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.53 ; 0.000 0% Purity testing (1 call)
% 0.21/0.53 ; 0.022 45% Other
% 0.21/0.53 ; 0.049 Total
% 0.21/0.53 ; 0.051 Real time
% 0.21/0.53 ;
% 0.21/0.53 ; Term-hash-array has 106 terms in all.
% 0.21/0.53 ; Feature-vector-row-index has 26 entries (42 at peak, 42 added, 16 deleted).
% 0.21/0.53 ; Feature-vector-row-index has 112 nodes (261 at peak, 261 added, 149 deleted).
% 0.21/0.53 ; Retrieved 119 possibly forward subsuming rows in 49 calls.
% 0.21/0.53 ; Retrieved 8 possibly backward subsumed rows in 42 calls.
% 0.21/0.53 ; Path-index has 74 entries (95 at peak, 107 added, 33 deleted).
% 0.21/0.53 ; Path-index has 384 nodes (458 at peak, 481 added, 97 deleted).
% 0.21/0.53 ; Trie-index has 74 entries (95 at peak, 107 added, 33 deleted).
% 0.21/0.53 ; Trie-index has 246 nodes (429 at peak, 475 added, 229 deleted).
% 0.21/0.53 ; Retrieved 19 generalization terms in 107 calls.
% 0.21/0.53 ; Retrieved 14 instance terms in 13 calls.
% 0.21/0.53 ; Retrieved 1,799 unifiable terms in 575 calls.
% 0.21/0.53 ;
% 0.21/0.53 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.21/0.53 ; 1 with value 0
% 0.21/0.53 ; The agenda of rows to process has 1 entry:
% 0.21/0.53 ; 1 with value 18
% 0.21/0.53 ; The agenda of rows to give has 16 entries:
% 0.21/0.53 ; 2 with value (4 15) 1 with value (4 23) 2 with value (4 30)
% 0.21/0.53 ; 2 with value (4 16) 1 with value (4 26) 2 with value (4 35)
% 0.21/0.53 ; 1 with value (4 18) 1 with value (4 27) 1 with value (4 36)
% 0.21/0.53 ; 1 with value (4 22) 2 with value (4 29)
% 0.21/0.53 Evaluation took:
% 0.21/0.53 0.052 seconds of real time
% 0.21/0.53 0.051152 seconds of user run time
% 0.21/0.53 0.001018 seconds of system run time
% 0.21/0.53 0 calls to %EVAL
% 0.21/0.53 0 page faults and
% 0.21/0.53 3,660,720 bytes consed.
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T22:47:38
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 *
%------------------------------------------------------------------------------