TSTP Solution File: SYN332+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN332+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 11:59:23 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 5 unt; 5 nHn; 11 RR)
% Number of literals : 31 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
( ~ big_f(X,Y)
| ~ big_f(Y,X)
| ~ big_f(X,'SKOLEMAAAV1'(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_14_4) ).
cnf(2,negated_conjecture,
( big_f(X,Y)
| big_f(X,'SKOLEMAAAV1'(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_14_4) ).
cnf(4,negated_conjecture,
( ~ big_f(X,'SKOLEMAAAV1'(X,Y))
| big_f('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_14_4) ).
cnf(6,negated_conjecture,
( ~ big_f(X,'SKOLEMAAAV1'(X,Y))
| big_f(Y,'SKOLEMAAAV1'(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_14_4) ).
cnf(10,negated_conjecture,
( ~ big_f(X,Y)
| big_f(Y,X)
| ~ big_f('SKOLEMAAAV1'(Y,X),'SKOLEMAAAV1'(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_14_4) ).
cnf(11,negated_conjecture,
( ~ big_f(X,Y)
| ~ big_f(Y,X)
| ~ big_f('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_14_4) ).
cnf(14,negated_conjecture,
( big_f(X,Y)
| big_f(Y,X)
| ~ big_f('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_14_4) ).
cnf(18,plain,
( big_f(X,Y)
| big_f('SKOLEMAAAV1'(X,Y),X) ),
inference('HYPERRESOLVE',[status(thm)],[4,2]) ).
cnf(20,plain,
( big_f(X,Y)
| big_f(Y,'SKOLEMAAAV1'(X,Y)) ),
inference('HYPERRESOLVE',[status(thm)],[6,2]) ).
cnf(22,plain,
big_f(X,X),
inference('HYPERRESOLVE',[status(thm)],[14,18]) ).
cnf(23,plain,
( ~ big_f(X,Y)
| big_f(Y,X) ),
inference('REWRITE',[status(thm)],[10,22]) ).
cnf(24,plain,
~ big_f('SKOLEMAAAV1'(X,X),X),
inference('UR-RESOLVE',[status(thm)],[11,22,22]) ).
cnf(25,plain,
~ big_f(X,'SKOLEMAAAV1'(X,X)),
inference('UR-RESOLVE',[status(thm)],[1,22,22]) ).
cnf(30,plain,
~ big_f('SKOLEMAAAV1'('SKOLEMAAAV1'(X,X),X),X),
inference('UR-RESOLVE',[status(thm)],[14,25,24]) ).
cnf(32,plain,
( big_f(X,Y)
| big_f('SKOLEMAAAV1'(X,Y),Y) ),
inference('HYPERRESOLVE',[status(thm)],[23,20]) ).
cnf(37,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[32,24]),30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN332+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jul 12 04:27:25 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 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 2022-07-12T04:27:25
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-12T04:27:25
% 0.21/0.52
% 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 ; 185 formulas have been input or derived (from 24 formulas).
% 0.21/0.52 ; 37 (20%) were retained. Of these,
% 0.21/0.52 ; 11 (30%) were simplified or subsumed later,
% 0.21/0.52 ; 26 (70%) 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 2% Read assertion file (1 call)
% 0.21/0.52 ; 0.000 0% Assert (1 call)
% 0.21/0.52 ; 0.003 7% Process new row (153 calls)
% 0.21/0.52 ; 0.007 16% Resolution (46 calls)
% 0.21/0.52 ; 0.000 0% Paramodulation (23 calls)
% 0.21/0.52 ; 0.000 0% Factoring (8 calls)
% 0.21/0.52 ; 0.001 2% Condensing (68 calls)
% 0.21/0.52 ; 0.004 9% Forward subsumption (68 calls)
% 0.21/0.52 ; 0.000 0% Backward subsumption (25 calls)
% 0.21/0.52 ; 0.002 5% Clause clause subsumption (305 calls)
% 0.21/0.52 ; 0.002 5% Forward simplification (147 calls)
% 0.21/0.52 ; 0.001 2% Backward simplification (37 calls)
% 0.21/0.52 ; 0.001 2% Ordering (26 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 ; 0.021 49% Other
% 0.21/0.52 ; 0.043 Total
% 0.21/0.52 ; 0.045 Real time
% 0.21/0.52 ;
% 0.21/0.52 ; Term-hash-array has 34 terms in all.
% 0.21/0.52 ; Feature-vector-row-index has 14 entries (21 at peak, 25 added, 11 deleted).
% 0.21/0.52 ; Feature-vector-row-index has 9 nodes (25 at peak, 25 added, 16 deleted).
% 0.21/0.52 ; Retrieved 372 possibly forward subsuming rows in 68 calls.
% 0.21/0.52 ; Retrieved 77 possibly backward subsumed rows in 25 calls.
% 0.21/0.52 ; Path-index has 26 entries (26 at peak, 34 added, 8 deleted).
% 0.21/0.52 ; Path-index has 51 nodes (51 at peak, 63 added, 12 deleted).
% 0.21/0.52 ; Trie-index has 26 entries (26 at peak, 34 added, 8 deleted).
% 0.21/0.52 ; Trie-index has 52 nodes (52 at peak, 85 added, 33 deleted).
% 0.21/0.52 ; Retrieved 228 generalization terms in 190 calls.
% 0.21/0.52 ; Retrieved 34 instance terms in 11 calls.
% 0.21/0.52 ; Retrieved 2,717 unifiable terms in 239 calls.
% 0.21/0.52 ;
% 0.21/0.52 ; The agenda of rows to process has 10 entries:
% 0.21/0.52 ; 1 with value 16 9 with value 18
% 0.21/0.52 ; The agenda of rows to give has 10 entries:
% 0.21/0.52 ; 1 with value (4 11) 4 with value (4 14) 4 with value (4 16)
% 0.21/0.52 ; 1 with value (4 13)
% 0.21/0.52 Evaluation took:
% 0.21/0.53 0.046 seconds of real time
% 0.21/0.53 0.034168 seconds of user run time
% 0.21/0.53 0.012015 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 3,312,224 bytes consed.
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T04:27:25
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 *
%------------------------------------------------------------------------------