TSTP Solution File: SYN078+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN078+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 11:57:25 EDT 2022
% Result : Theorem 0.14s 0.42s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 7 unt; 5 nHn; 16 RR)
% Number of literals : 28 ( 5 equ; 9 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
( big_p('SKOLEMAAAR2')
| big_p('SKOLEMAAAR3') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel56) ).
cnf(2,negated_conjecture,
( big_p('SKOLEMAAAR2')
| ~ big_p(f('SKOLEMAAAR3')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel56) ).
cnf(3,negated_conjecture,
( 'SKOLEMAAAR1' = f('SKOLEMAAAR2')
| big_p('SKOLEMAAAR3') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel56) ).
cnf(4,negated_conjecture,
( 'SKOLEMAAAR1' = f('SKOLEMAAAR2')
| ~ big_p(f('SKOLEMAAAR3')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel56) ).
cnf(5,negated_conjecture,
( ~ big_p('SKOLEMAAAR1')
| big_p('SKOLEMAAAR3') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel56) ).
cnf(6,negated_conjecture,
( ~ big_p('SKOLEMAAAR1')
| ~ big_p(f('SKOLEMAAAR3')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel56) ).
cnf(7,negated_conjecture,
( ~ big_p(X)
| Y != f(X)
| big_p(Y)
| ~ big_p(Z)
| big_p(f(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel56) ).
cnf(8,plain,
( big_p('SKOLEMAAAR2')
| big_p(f('SKOLEMAAAR3')) ),
inference('HYPERRESOLVE',[status(thm)],[7,1,1,theory(equality)]) ).
cnf(9,plain,
( 'SKOLEMAAAR1' = f('SKOLEMAAAR2')
| big_p(f('SKOLEMAAAR3')) ),
inference('HYPERRESOLVE',[status(thm)],[7,3,3,theory(equality)]) ).
cnf(10,plain,
big_p('SKOLEMAAAR2'),
inference('HYPERRESOLVE',[status(thm)],[2,8]) ).
cnf(11,plain,
big_p(f('SKOLEMAAAR2')),
inference('HYPERRESOLVE',[status(thm)],[7,10,10,theory(equality)]) ).
cnf(14,plain,
'SKOLEMAAAR1' = f('SKOLEMAAAR2'),
inference('HYPERRESOLVE',[status(thm)],[4,9]) ).
cnf(15,plain,
big_p('SKOLEMAAAR1'),
inference('REWRITE',[status(thm)],[11,14,theory(equality)]) ).
cnf(16,plain,
big_p('SKOLEMAAAR3'),
inference('REWRITE',[status(thm)],[5,15]) ).
cnf(17,plain,
~ big_p(f('SKOLEMAAAR3')),
inference('REWRITE',[status(thm)],[6,15]) ).
cnf(20,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,16,16,theory(equality)]),17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN078+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.10 % Command : run-snark %s %d
% 0.09/0.29 % Computer : n014.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 600
% 0.09/0.30 % DateTime : Mon Jul 11 12:14:34 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.39 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40 *
% 0.14/0.40 *
% 0.14/0.40 #<PACKAGE "SNARK-USER">
% 0.14/0.40 *
% 0.14/0.40 SNARK-TPTP-OPTIONS
% 0.14/0.40 *
% 0.14/0.40 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.40 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.40 (USE-FACTORING :POS)
% 0.14/0.40 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.40 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.40 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.40 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.40 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.40 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.40 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.40 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.40 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.40 (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.40 *
% 0.14/0.40 "."
% 0.14/0.40 *
% 0.14/0.40 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T12:14:34
% 0.14/0.40 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-11T12:14:34
% 0.14/0.42
% 0.14/0.42
% 0.14/0.42 #||
% 0.14/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.42 % SZS output start Refutation
% See solution above
% 0.14/0.43 ||#
% 0.14/0.43
% 0.14/0.43 ; Summary of computation:
% 0.14/0.43 ; 68 formulas have been input or derived (from 14 formulas).
% 0.14/0.43 ; 20 (29%) were retained. Of these,
% 0.14/0.43 ; 11 (55%) were simplified or subsumed later,
% 0.14/0.43 ; 9 (45%) are still being kept.
% 0.14/0.43 ;
% 0.14/0.43 ; Run time in seconds excluding printing time:
% 0.14/0.43 ; 0.000 0% Read assertion file (1 call)
% 0.14/0.43 ; 0.001 4% Assert (1 call)
% 0.14/0.43 ; 0.001 4% Process new row (39 calls)
% 0.14/0.43 ; 0.001 4% Resolution (26 calls)
% 0.14/0.43 ; 0.001 4% Paramodulation (13 calls)
% 0.14/0.43 ; 0.000 0% Factoring (4 calls)
% 0.14/0.43 ; 0.001 4% Condensing (10 calls)
% 0.14/0.43 ; 0.000 0% Forward subsumption (10 calls)
% 0.14/0.43 ; 0.000 0% Backward subsumption (9 calls)
% 0.14/0.43 ; 0.000 0% Clause clause subsumption (1 call)
% 0.14/0.43 ; 0.000 0% Forward simplification (30 calls)
% 0.14/0.43 ; 0.001 4% Backward simplification (20 calls)
% 0.14/0.43 ; 0.000 0% Ordering (21 calls)
% 0.14/0.43 ; 0.000 0% Sortal reasoning (32 calls)
% 0.14/0.43 ; 0.000 0% Purity testing (1 call)
% 0.14/0.43 ; 0.018 75% Other
% 0.14/0.43 ; 0.024 Total
% 0.14/0.43 ; 0.026 Real time
% 0.14/0.43 ;
% 0.14/0.43 ; Term-hash-array has 23 terms in all.
% 0.14/0.43 ; Feature-vector-row-index has 1 entry (9 at peak, 9 added, 8 deleted).
% 0.14/0.43 ; Feature-vector-row-index has 6 nodes (49 at peak, 49 added, 43 deleted).
% 0.14/0.43 ; Retrieved 2 possibly forward subsuming rows in 10 calls.
% 0.14/0.43 ; Retrieved 0 possibly backward subsumed rows in 9 calls.
% 0.14/0.43 ; Path-index has 21 entries (22 at peak, 30 added, 9 deleted).
% 0.14/0.43 ; Path-index has 30 nodes (31 at peak, 39 added, 9 deleted).
% 0.14/0.43 ; Trie-index has 21 entries (22 at peak, 30 added, 9 deleted).
% 0.14/0.43 ; Trie-index has 29 nodes (32 at peak, 42 added, 13 deleted).
% 0.14/0.43 ; Retrieved 10 generalization terms in 30 calls.
% 0.14/0.43 ; Retrieved 10 instance terms in 10 calls.
% 0.14/0.43 ; Retrieved 356 unifiable terms in 173 calls.
% 0.14/0.43 ;
% 0.14/0.43 ; The agenda of rows to process has 1 entry:
% 0.14/0.43 ; 1 with value 13
% 0.14/0.43 ; The agenda of input rows to give has 1 entry:
% 0.14/0.43 ; 1 with value 5
% 0.14/0.43 ; The agenda of rows to give has 4 entries:
% 0.14/0.43 ; 1 with value (4 6) 1 with value (4 9) 1 with value (4 12)
% 0.14/0.43 ; 1 with value (4 8)
% 0.14/0.43 Evaluation took:
% 0.14/0.43 0.026 seconds of real time
% 0.14/0.43 0.021059 seconds of user run time
% 0.14/0.43 0.004953 seconds of system run time
% 0.14/0.43 0 calls to %EVAL
% 0.14/0.43 0 page faults and
% 0.14/0.43 2,325,432 bytes consed.
% 0.14/0.43 :PROOF-FOUND
% 0.14/0.43 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T12:14:34
% 0.14/0.43 :PROOF-FOUND
% 0.14/0.43 *
%------------------------------------------------------------------------------