TSTP Solution File: SYN345+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN345+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 11:59:33 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 5 unt; 5 nHn; 9 RR)
% Number of literals : 26 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
( big_f('SKOLEMAAAV1','SKOLEMAAAV2',X)
| ~ big_f('SKOLEMAAAV1','SKOLEMAAAV1','SKOLEMAAAV2')
| big_f('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV2') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_16_4) ).
cnf(2,plain,
( ~ big_f('SKOLEMAAAV1','SKOLEMAAAV1','SKOLEMAAAV2')
| big_f('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV2') ),
inference('CONDENSE',[status(thm)],[1]) ).
cnf(3,negated_conjecture,
( big_f('SKOLEMAAAV2',X,Y)
| ~ big_f('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV2')
| big_f('SKOLEMAAAV1','SKOLEMAAAV1','SKOLEMAAAV2') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_16_4) ).
cnf(4,negated_conjecture,
( ~ big_f(X,'SKOLEMAAAV3'(X,Y),'SKOLEMAAAV3'(X,Y))
| ~ big_f('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV2')
| big_f('SKOLEMAAAV1','SKOLEMAAAV1','SKOLEMAAAV2') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_16_4) ).
cnf(5,negated_conjecture,
big_f(X,Y,'SKOLEMAAAV3'(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_16_4) ).
cnf(6,negated_conjecture,
( ~ big_f('SKOLEMAAAV2','SKOLEMAAAV2',X)
| ~ big_f('SKOLEMAAAV1','SKOLEMAAAV1','SKOLEMAAAV2')
| ~ big_f('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV2') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_16_4) ).
cnf(7,negated_conjecture,
( ~ big_f('SKOLEMAAAV2','SKOLEMAAAV2',X)
| big_f('SKOLEMAAAV1','SKOLEMAAAV1','SKOLEMAAAV2')
| big_f('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV2') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_16_4) ).
cnf(8,plain,
( big_f('SKOLEMAAAV1','SKOLEMAAAV1','SKOLEMAAAV2')
| big_f('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV2') ),
inference('HYPERRESOLVE',[status(thm)],[7,5]) ).
cnf(9,plain,
( big_f('SKOLEMAAAV1','SKOLEMAAAV1','SKOLEMAAAV2')
| big_f('SKOLEMAAAV2',X,Y) ),
inference('HYPERRESOLVE',[status(thm)],[3,8]) ).
cnf(10,plain,
big_f('SKOLEMAAAV1','SKOLEMAAAV1','SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[4,9,8]) ).
cnf(11,plain,
big_f('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[2,10]) ).
cnf(12,plain,
~ big_f('SKOLEMAAAV2','SKOLEMAAAV2',X),
inference('REWRITE',[status(thm)],[6,11,10]) ).
cnf(13,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[12,5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN345+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Mon Jul 11 18:33:30 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T18:33:30
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-11T18:33:30
% 0.21/0.50
% 0.21/0.52 ; Recognized relation function assertion (|big_f| ?X ?Y (SKOLEMAAAV3 ?X ?Y)).
% 0.21/0.52
% 0.21/0.52 #||
% 0.21/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.52 % SZS output start Refutation
% See solution above
% 0.21/0.52 ||#
% 0.21/0.52
% 0.21/0.52 ; Summary of computation:
% 0.21/0.52 ; 19 formulas have been input or derived (from 11 formulas).
% 0.21/0.52 ; 13 (68%) were retained. Of these,
% 0.21/0.52 ; 8 (62%) were simplified or subsumed later,
% 0.21/0.52 ; 5 (38%) are still being kept.
% 0.21/0.52 ;
% 0.21/0.52 ; Run time in seconds excluding printing time:
% 0.21/0.52 ; 0.001 4% Read assertion file (1 call)
% 0.21/0.52 ; 0.001 4% Assert (1 call)
% 0.21/0.52 ; 0.000 0% Process new row (16 calls)
% 0.21/0.52 ; 0.000 0% Resolution (20 calls)
% 0.21/0.52 ; 0.000 0% Paramodulation (10 calls)
% 0.21/0.52 ; 0.000 0% Factoring (2 calls)
% 0.21/0.52 ; 0.000 0% Condensing (8 calls)
% 0.21/0.52 ; 0.001 4% Forward subsumption (8 calls)
% 0.21/0.52 ; 0.001 4% Backward subsumption (7 calls)
% 0.21/0.52 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.21/0.52 ; 0.000 0% Forward simplification (13 calls)
% 0.21/0.52 ; 0.001 4% Backward simplification (12 calls)
% 0.21/0.52 ; 0.000 0% Ordering (10 calls)
% 0.21/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.52 ; 0.000 0% Purity testing (1 call)
% 0.21/0.52 ; 0.022 81% Other
% 0.21/0.52 ; 0.027 Total
% 0.21/0.52 ; 0.030 Real time
% 0.21/0.52 ;
% 0.21/0.52 ; Term-hash-array has 7 terms in all.
% 0.21/0.52 ; Feature-vector-row-index has 0 entries (5 at peak, 7 added, 7 deleted).
% 0.21/0.52 ; Feature-vector-row-index has 1 node (44 at peak, 55 added, 54 deleted).
% 0.21/0.52 ; Retrieved 1 possibly forward subsuming row in 8 calls.
% 0.21/0.52 ; Retrieved 3 possibly backward subsumed rows in 7 calls.
% 0.21/0.52 ; Path-index has 7 entries (9 at peak, 12 added, 5 deleted).
% 0.21/0.52 ; Path-index has 28 nodes (30 at peak, 33 added, 5 deleted).
% 0.21/0.52 ; Trie-index has 7 entries (9 at peak, 12 added, 5 deleted).
% 0.21/0.52 ; Trie-index has 20 nodes (28 at peak, 35 added, 15 deleted).
% 0.21/0.52 ; Retrieved 1 generalization term in 14 calls.
% 0.21/0.52 ; Retrieved 5 instance terms in 4 calls.
% 0.21/0.52 ; Retrieved 57 unifiable terms in 63 calls.
% 0.21/0.52 ;
% 0.21/0.52 ; The agenda of rows to give has 1 entry:
% 0.21/0.52 ; 1 with value (4 8)
% 0.21/0.52 Evaluation took:
% 0.21/0.52 0.03 seconds of real time
% 0.21/0.52 0.021774 seconds of user run time
% 0.21/0.52 0.008212 seconds of system run time
% 0.21/0.52 0 calls to %EVAL
% 0.21/0.52 0 page faults and
% 0.21/0.52 2,358,656 bytes consed.
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T18:33:30
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 *
%------------------------------------------------------------------------------