TSTP Solution File: SYN074-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN074-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 11:57:22 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 4 unt; 6 nHn; 10 RR)
% Number of literals : 30 ( 19 equ; 11 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 : 17 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
( ~ big_f(X,Y)
| X = a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_2,axiom,
( ~ big_f(X,Y)
| Y = b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_3,axiom,
( X != a
| Y != b
| big_f(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_8,negated_conjecture,
( X != g(Y)
| big_f(f(Y),X)
| f(Y) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
cnf(clause_10,negated_conjecture,
( f(X) != X
| big_f(f(X),h(X,Y))
| h(X,Y) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
cnf(clause_11,negated_conjecture,
( f(X) != X
| h(X,Y) != Y
| ~ big_f(f(X),h(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
cnf(12,plain,
big_f(a,b),
inference('HYPERRESOLVE',[status(thm)],[clause_3,theory(equality),theory(equality)]) ).
cnf(13,plain,
( big_f(f(X),g(X))
| f(X) = X ),
inference('HYPERRESOLVE',[status(thm)],[clause_8,theory(equality)]) ).
cnf(16,plain,
( f(X) = X
| f(X) = a ),
inference('HYPERRESOLVE',[status(thm)],[clause_1,13]) ).
cnf(21,plain,
f(a) = a,
inference('FACTOR',[status(thm)],[16]) ).
cnf(23,plain,
( big_f(a,h(a,X))
| h(a,X) = X ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause_10,16]),21,theory(equality)]) ).
cnf(37,plain,
( h(a,X) != X
| ~ big_f(a,h(a,X)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[clause_11,21,theory(equality)]),theory(equality)]) ).
cnf(38,plain,
( h(a,X) = X
| h(a,X) = b ),
inference('HYPERRESOLVE',[status(thm)],[clause_2,23]) ).
cnf(40,plain,
h(a,b) = b,
inference('HYPERRESOLVE',[status(thm)],[37,38,23]) ).
cnf(46,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[37,40]),12,40,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN074-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 12 05:49:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T05:49:37
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-12T05:49:37
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % 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 ; 140 formulas have been input or derived (from 24 formulas).
% 0.19/0.51 ; 46 (33%) were retained. Of these,
% 0.19/0.51 ; 2 ( 4%) were simplified or subsumed later,
% 0.19/0.51 ; 44 (96%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.003 7% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 2% Assert (11 calls)
% 0.19/0.51 ; 0.004 9% Process new row (118 calls)
% 0.19/0.51 ; 0.004 9% Resolution (46 calls)
% 0.19/0.51 ; 0.003 7% Paramodulation (23 calls)
% 0.19/0.51 ; 0.001 2% Factoring (8 calls)
% 0.19/0.51 ; 0.002 4% Condensing (74 calls)
% 0.19/0.51 ; 0.004 9% Forward subsumption (74 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (40 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (65 calls)
% 0.19/0.51 ; 0.002 4% Forward simplification (118 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (46 calls)
% 0.19/0.51 ; 0.000 0% Ordering (240 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 ; 0.022 48% Other
% 0.19/0.51 ; 0.046 Total
% 0.19/0.51 ; 0.048 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 56 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 40 entries (40 at peak, 40 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 224 nodes (224 at peak, 224 added, 0 deleted).
% 0.19/0.51 ; Retrieved 73 possibly forward subsuming rows in 74 calls.
% 0.19/0.51 ; Retrieved 2 possibly backward subsumed rows in 40 calls.
% 0.19/0.51 ; Path-index has 56 entries (56 at peak, 58 added, 2 deleted).
% 0.19/0.51 ; Path-index has 64 nodes (64 at peak, 66 added, 2 deleted).
% 0.19/0.51 ; Trie-index has 56 entries (56 at peak, 58 added, 2 deleted).
% 0.19/0.51 ; Trie-index has 89 nodes (89 at peak, 92 added, 3 deleted).
% 0.19/0.51 ; Retrieved 43 generalization terms in 223 calls.
% 0.19/0.51 ; Retrieved 5 instance terms in 5 calls.
% 0.19/0.51 ; Retrieved 1,626 unifiable terms in 247 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 13 entries:
% 0.19/0.51 ; 2 with value 13 1 with value 20 2 with value 28
% 0.19/0.51 ; 7 with value 14 1 with value 22
% 0.19/0.51 ; The agenda of rows to give has 20 entries:
% 0.19/0.51 ; 2 with value (4 16) 1 with value (4 24) 3 with value (4 33)
% 0.19/0.51 ; 1 with value (4 19) 2 with value (4 26) 1 with value (4 35)
% 0.19/0.51 ; 2 with value (4 22) 2 with value (4 27) 1 with value (4 39)
% 0.19/0.51 ; 4 with value (4 23) 1 with value (4 30)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.049 seconds of real time
% 0.19/0.51 0.047499 seconds of user run time
% 0.19/0.51 9.5e-4 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 3,001,240 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T05:49:37
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------