TSTP Solution File: SYN075-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN075-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 11:57:23 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 5 unt; 5 nHn; 9 RR)
% Number of literals : 30 ( 18 equ; 13 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
( ~ big_f(X,Y)
| X = a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_3,axiom,
( X != a
| Y != b
| big_f(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_4,negated_conjecture,
( ~ big_f(X,f(Y))
| X != g(Y)
| f(Y) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_6,negated_conjecture,
( X != g(Y)
| big_f(X,f(Y))
| f(Y) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_9,negated_conjecture,
( f(X) != X
| big_f(h(X,Y),f(X))
| h(X,Y) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
cnf(clause_10,negated_conjecture,
( f(X) != X
| h(X,Y) != Y
| ~ big_f(h(X,Y),f(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
cnf(10,plain,
big_f(a,b),
inference('HYPERRESOLVE',[status(thm)],[clause_3,theory(equality),theory(equality)]) ).
cnf(11,plain,
( big_f(g(X),f(X))
| f(X) = X ),
inference('HYPERRESOLVE',[status(thm)],[clause_6,theory(equality)]) ).
cnf(13,plain,
f(X) = X,
inference('HYPERRESOLVE',[status(thm)],[clause_4,11,theory(equality)]) ).
cnf(14,plain,
( big_f(h(X,Y),X)
| h(X,Y) = Y ),
inference('REWRITE',[status(thm)],[clause_9,13,theory(equality)]) ).
cnf(15,plain,
( h(X,Y) != Y
| ~ big_f(h(X,Y),X) ),
inference('REWRITE',[status(thm)],[clause_10,13,theory(equality)]) ).
cnf(17,plain,
( h(X,Y) = Y
| h(X,Y) = a ),
inference('HYPERRESOLVE',[status(thm)],[clause_1,14]) ).
cnf(22,plain,
h(X,a) = a,
inference('HYPERRESOLVE',[status(thm)],[15,17,14]) ).
cnf(30,plain,
~ big_f(a,X),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[15,22]),22,theory(equality)]) ).
cnf(31,plain,
$false,
inference('REWRITE',[status(thm)],[10,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN075-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jul 12 04:05:42 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T04:05:43
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-12T04:05:43
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/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 ; 112 formulas have been input or derived (from 20 formulas).
% 0.20/0.52 ; 31 (28%) were retained. Of these,
% 0.20/0.52 ; 16 (52%) were simplified or subsumed later,
% 0.20/0.52 ; 15 (48%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.002 5% Read assertion file (1 call)
% 0.20/0.52 ; 0.001 3% Assert (10 calls)
% 0.20/0.52 ; 0.003 8% Process new row (90 calls)
% 0.20/0.52 ; 0.000 0% Resolution (38 calls)
% 0.20/0.52 ; 0.000 0% Paramodulation (19 calls)
% 0.20/0.52 ; 0.000 0% Factoring (6 calls)
% 0.20/0.52 ; 0.000 0% Condensing (48 calls)
% 0.20/0.52 ; 0.001 3% Forward subsumption (48 calls)
% 0.20/0.52 ; 0.002 5% Backward subsumption (25 calls)
% 0.20/0.52 ; 0.000 0% Clause clause subsumption (39 calls)
% 0.20/0.52 ; 0.001 3% Forward simplification (87 calls)
% 0.20/0.52 ; 0.001 3% Backward simplification (31 calls)
% 0.20/0.52 ; 0.002 5% Ordering (138 calls)
% 0.20/0.52 ; 0.001 3% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.024 63% Other
% 0.20/0.52 ; 0.038 Total
% 0.20/0.52 ; 0.041 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 38 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 11 entries (15 at peak, 25 added, 14 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 37 nodes (56 at peak, 110 added, 73 deleted).
% 0.20/0.52 ; Retrieved 53 possibly forward subsuming rows in 48 calls.
% 0.20/0.52 ; Retrieved 0 possibly backward subsumed rows in 25 calls.
% 0.20/0.52 ; Path-index has 25 entries (28 at peak, 44 added, 19 deleted).
% 0.20/0.52 ; Path-index has 46 nodes (46 at peak, 57 added, 11 deleted).
% 0.20/0.52 ; Trie-index has 25 entries (28 at peak, 44 added, 19 deleted).
% 0.20/0.52 ; Trie-index has 39 nodes (45 at peak, 72 added, 33 deleted).
% 0.20/0.52 ; Retrieved 32 generalization terms in 121 calls.
% 0.20/0.52 ; Retrieved 8 instance terms in 5 calls.
% 0.20/0.52 ; Retrieved 476 unifiable terms in 136 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of backward simplifiable rows to process has 3 entries:
% 0.20/0.52 ; 3 with value 0
% 0.20/0.52 ; The agenda of rows to process has 9 entries:
% 0.20/0.52 ; 2 with value 10 1 with value 16 1 with value 19
% 0.20/0.52 ; 5 with value 11
% 0.20/0.52 ; The agenda of rows to give has 5 entries:
% 0.20/0.52 ; 1 with value (4 7) 1 with value (4 16) 1 with value (4 25)
% 0.20/0.52 ; 1 with value (4 13) 1 with value (4 22)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.041 seconds of real time
% 0.20/0.52 0.036314 seconds of user run time
% 0.20/0.52 0.004633 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 2,636,672 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T04:05:43
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 *
%------------------------------------------------------------------------------