TSTP Solution File: SYO607+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYO607+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 19:44:32 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of clauses : 39 ( 9 unt; 29 nHn; 22 RR)
% Number of literals : 125 ( 0 equ; 15 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 49 ( 34 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
( ~ g_false_only(a,X)
| ~ g_false_only(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc6) ).
cnf(2,negated_conjecture,
~ g_true_only(X,'SKOLEMAAAV1'(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc6) ).
cnf(3,negated_conjecture,
( ~ g_both(a,X)
| g_true_only(a,X)
| g_true_only(X,Y)
| g_false_only(a,'SKOLEMAAAV3')
| ~ g_both(Z,U)
| g_false_only(Z,'SKOLEMAAAV5'(Z))
| g_true_only('SKOLEMAAAV6',V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc6) ).
cnf(4,negated_conjecture,
( ~ g_both(a,X)
| g_true_only(a,X)
| g_true_only(X,Y)
| g_false_only('SKOLEMAAAV3','SKOLEMAAAV4')
| ~ g_both(Z,U)
| g_false_only(Z,'SKOLEMAAAV5'(Z))
| g_true_only('SKOLEMAAAV6',V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc6) ).
cnf(5,negated_conjecture,
( ~ g_both(X,Y)
| g_false_only(X,'SKOLEMAAAV2'(X))
| g_true_only(a,X)
| g_true_only(X,Z)
| g_false_only(a,'SKOLEMAAAV3')
| ~ g_both(U,V)
| g_false_only(U,'SKOLEMAAAV5'(U))
| g_true_only('SKOLEMAAAV6',W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc6) ).
cnf(6,negated_conjecture,
( ~ g_both(X,Y)
| g_false_only(X,'SKOLEMAAAV2'(X))
| g_true_only(a,X)
| g_true_only(X,Z)
| g_false_only('SKOLEMAAAV3','SKOLEMAAAV4')
| ~ g_both(U,V)
| g_false_only(U,'SKOLEMAAAV5'(U))
| g_true_only('SKOLEMAAAV6',W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc6) ).
cnf(16,axiom,
( g_true_only(X,Y)
| g_both(X,Y)
| g_false_only(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_g) ).
cnf(18,plain,
( g_both(X,'SKOLEMAAAV1'(X))
| g_false_only(X,'SKOLEMAAAV1'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[2,16]) ).
cnf(20,plain,
( g_both(a,'SKOLEMAAAV1'(a))
| g_both('SKOLEMAAAV1'(a),'SKOLEMAAAV1'('SKOLEMAAAV1'(a))) ),
inference('HYPERRESOLVE',[status(thm)],[1,18,18]) ).
cnf(23,plain,
( g_both(a,'SKOLEMAAAV1'(a))
| g_false_only('SKOLEMAAAV1'(a),'SKOLEMAAAV2'('SKOLEMAAAV1'(a)))
| g_true_only('SKOLEMAAAV1'(a),X)
| g_false_only('SKOLEMAAAV3','SKOLEMAAAV4')
| g_false_only('SKOLEMAAAV1'(a),'SKOLEMAAAV5'('SKOLEMAAAV1'(a)))
| g_true_only('SKOLEMAAAV6',Y) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,20,20]),2]) ).
cnf(24,plain,
( g_both(a,'SKOLEMAAAV1'(a))
| g_false_only('SKOLEMAAAV1'(a),'SKOLEMAAAV2'('SKOLEMAAAV1'(a)))
| g_true_only('SKOLEMAAAV1'(a),X)
| g_false_only(a,'SKOLEMAAAV3')
| g_false_only('SKOLEMAAAV1'(a),'SKOLEMAAAV5'('SKOLEMAAAV1'(a)))
| g_true_only('SKOLEMAAAV6',Y) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[5,20,20]),2]) ).
cnf(25,plain,
( g_both(a,'SKOLEMAAAV1'(a))
| g_false_only('SKOLEMAAAV1'(a),'SKOLEMAAAV2'('SKOLEMAAAV1'(a)))
| g_false_only('SKOLEMAAAV3','SKOLEMAAAV4')
| g_false_only('SKOLEMAAAV1'(a),'SKOLEMAAAV5'('SKOLEMAAAV1'(a)))
| g_true_only('SKOLEMAAAV6',X) ),
inference('HYPERRESOLVE',[status(thm)],[2,23]) ).
cnf(26,plain,
( g_both(a,'SKOLEMAAAV1'(a))
| g_false_only('SKOLEMAAAV1'(a),'SKOLEMAAAV2'('SKOLEMAAAV1'(a)))
| g_false_only('SKOLEMAAAV3','SKOLEMAAAV4')
| g_false_only('SKOLEMAAAV1'(a),'SKOLEMAAAV5'('SKOLEMAAAV1'(a))) ),
inference('HYPERRESOLVE',[status(thm)],[2,25]) ).
cnf(27,plain,
( g_both(a,'SKOLEMAAAV1'(a))
| g_false_only('SKOLEMAAAV1'(a),'SKOLEMAAAV2'('SKOLEMAAAV1'(a)))
| g_false_only('SKOLEMAAAV3','SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[1,26,18]) ).
cnf(28,plain,
( g_both(a,'SKOLEMAAAV1'(a))
| g_false_only('SKOLEMAAAV3','SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[1,27,18]) ).
cnf(30,plain,
( g_both(a,'SKOLEMAAAV1'(a))
| g_false_only('SKOLEMAAAV1'(a),'SKOLEMAAAV2'('SKOLEMAAAV1'(a)))
| g_false_only(a,'SKOLEMAAAV3')
| g_false_only('SKOLEMAAAV1'(a),'SKOLEMAAAV5'('SKOLEMAAAV1'(a)))
| g_true_only('SKOLEMAAAV6',X) ),
inference('HYPERRESOLVE',[status(thm)],[2,24]) ).
cnf(31,plain,
( g_both(a,'SKOLEMAAAV1'(a))
| g_false_only('SKOLEMAAAV1'(a),'SKOLEMAAAV2'('SKOLEMAAAV1'(a)))
| g_false_only(a,'SKOLEMAAAV3')
| g_false_only('SKOLEMAAAV1'(a),'SKOLEMAAAV5'('SKOLEMAAAV1'(a))) ),
inference('HYPERRESOLVE',[status(thm)],[2,30]) ).
cnf(32,plain,
( g_both(a,'SKOLEMAAAV1'(a))
| g_false_only('SKOLEMAAAV1'(a),'SKOLEMAAAV2'('SKOLEMAAAV1'(a)))
| g_false_only(a,'SKOLEMAAAV3') ),
inference('HYPERRESOLVE',[status(thm)],[1,31,18]) ).
cnf(33,plain,
( g_both(a,'SKOLEMAAAV1'(a))
| g_false_only(a,'SKOLEMAAAV3') ),
inference('HYPERRESOLVE',[status(thm)],[1,32,18]) ).
cnf(34,plain,
g_both(a,'SKOLEMAAAV1'(a)),
inference('HYPERRESOLVE',[status(thm)],[1,33,28]) ).
cnf(37,plain,
( g_true_only('SKOLEMAAAV1'(a),X)
| g_false_only('SKOLEMAAAV3','SKOLEMAAAV4')
| g_false_only(a,'SKOLEMAAAV5'(a))
| g_true_only('SKOLEMAAAV6',Y) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[4,34,34]),2]) ).
cnf(38,plain,
( g_true_only('SKOLEMAAAV1'(a),X)
| g_false_only(a,'SKOLEMAAAV3')
| g_false_only(a,'SKOLEMAAAV5'(a))
| g_true_only('SKOLEMAAAV6',Y) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[3,34,34]),2]) ).
cnf(42,plain,
( g_false_only('SKOLEMAAAV3','SKOLEMAAAV4')
| g_false_only(a,'SKOLEMAAAV5'(a))
| g_true_only('SKOLEMAAAV6',X) ),
inference('HYPERRESOLVE',[status(thm)],[2,37]) ).
cnf(43,plain,
( g_false_only('SKOLEMAAAV3','SKOLEMAAAV4')
| g_false_only(a,'SKOLEMAAAV5'(a)) ),
inference('HYPERRESOLVE',[status(thm)],[2,42]) ).
cnf(45,plain,
( g_false_only('SKOLEMAAAV3','SKOLEMAAAV4')
| g_both('SKOLEMAAAV5'(a),'SKOLEMAAAV1'('SKOLEMAAAV5'(a))) ),
inference('HYPERRESOLVE',[status(thm)],[1,43,18]) ).
cnf(50,plain,
( g_false_only(a,'SKOLEMAAAV3')
| g_false_only(a,'SKOLEMAAAV5'(a))
| g_true_only('SKOLEMAAAV6',X) ),
inference('HYPERRESOLVE',[status(thm)],[2,38]) ).
cnf(51,plain,
( g_false_only(a,'SKOLEMAAAV3')
| g_false_only(a,'SKOLEMAAAV5'(a)) ),
inference('HYPERRESOLVE',[status(thm)],[2,50]) ).
cnf(53,plain,
( g_false_only(a,'SKOLEMAAAV3')
| g_both('SKOLEMAAAV5'(a),'SKOLEMAAAV1'('SKOLEMAAAV5'(a))) ),
inference('HYPERRESOLVE',[status(thm)],[1,51,18]) ).
cnf(58,plain,
g_both('SKOLEMAAAV5'(a),'SKOLEMAAAV1'('SKOLEMAAAV5'(a))),
inference('HYPERRESOLVE',[status(thm)],[1,53,45]) ).
cnf(61,plain,
( g_true_only('SKOLEMAAAV1'(a),X)
| g_false_only('SKOLEMAAAV3','SKOLEMAAAV4')
| g_false_only('SKOLEMAAAV5'(a),'SKOLEMAAAV5'('SKOLEMAAAV5'(a)))
| g_true_only('SKOLEMAAAV6',Y) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[4,58,34]),2]) ).
cnf(68,plain,
( g_false_only('SKOLEMAAAV3','SKOLEMAAAV4')
| g_false_only('SKOLEMAAAV5'(a),'SKOLEMAAAV5'('SKOLEMAAAV5'(a)))
| g_true_only('SKOLEMAAAV6',X) ),
inference('HYPERRESOLVE',[status(thm)],[2,61]) ).
cnf(69,plain,
( g_false_only('SKOLEMAAAV3','SKOLEMAAAV4')
| g_false_only('SKOLEMAAAV5'(a),'SKOLEMAAAV5'('SKOLEMAAAV5'(a))) ),
inference('HYPERRESOLVE',[status(thm)],[2,68]) ).
cnf(70,plain,
g_false_only('SKOLEMAAAV3','SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[1,69,43]) ).
cnf(73,plain,
~ g_false_only(a,'SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[1,70]) ).
cnf(74,plain,
( ~ g_both(a,X)
| g_true_only(a,X)
| g_true_only(X,Y)
| ~ g_both(Z,U)
| g_false_only(Z,'SKOLEMAAAV5'(Z))
| g_true_only('SKOLEMAAAV6',V) ),
inference('REWRITE',[status(thm)],[3,73]) ).
cnf(76,plain,
g_false_only(a,'SKOLEMAAAV5'(a)),
inference('REWRITE',[status(thm)],[51,73]) ).
cnf(80,plain,
g_false_only('SKOLEMAAAV5'(a),'SKOLEMAAAV5'('SKOLEMAAAV5'(a))),
inference('UR-RESOLVE',[status(thm)],[74,34,2,2,58,2]) ).
cnf(82,plain,
~ g_false_only('SKOLEMAAAV5'(a),X),
inference('UR-RESOLVE',[status(thm)],[1,76]) ).
cnf(83,plain,
$false,
inference('REWRITE',[status(thm)],[80,82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYO607+1 : TPTP v8.1.0. Released v7.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 19:56:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T19:56:37
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-08T19:56:37
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 233 formulas have been input or derived (from 65 formulas).
% 0.19/0.53 ; 83 (36%) were retained. Of these,
% 0.19/0.53 ; 49 (59%) were simplified or subsumed later,
% 0.19/0.53 ; 34 (41%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.003 5% Read assertion file (1 call)
% 0.19/0.53 ; 0.001 2% Assert (5 calls)
% 0.19/0.53 ; 0.007 12% Process new row (207 calls)
% 0.19/0.53 ; 0.005 9% Resolution (128 calls)
% 0.19/0.53 ; 0.001 2% Paramodulation (64 calls)
% 0.19/0.53 ; 0.000 0% Factoring (35 calls)
% 0.19/0.53 ; 0.003 5% Condensing (95 calls)
% 0.19/0.53 ; 0.003 5% Forward subsumption (95 calls)
% 0.19/0.53 ; 0.002 4% Backward subsumption (63 calls)
% 0.19/0.53 ; 0.001 2% Clause clause subsumption (74 calls)
% 0.19/0.53 ; 0.004 7% Forward simplification (150 calls)
% 0.19/0.53 ; 0.001 2% Backward simplification (83 calls)
% 0.19/0.53 ; 0.002 4% Ordering (179 calls)
% 0.19/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.024 42% Other
% 0.19/0.53 ; 0.057 Total
% 0.19/0.53 ; 0.064 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 65 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 16 entries (28 at peak, 63 added, 47 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 38 nodes (140 at peak, 449 added, 411 deleted).
% 0.19/0.53 ; Retrieved 97 possibly forward subsuming rows in 95 calls.
% 0.19/0.53 ; Retrieved 29 possibly backward subsumed rows in 63 calls.
% 0.19/0.53 ; Path-index has 47 entries (59 at peak, 119 added, 72 deleted).
% 0.19/0.53 ; Path-index has 111 nodes (122 at peak, 174 added, 63 deleted).
% 0.19/0.53 ; Trie-index has 47 entries (59 at peak, 119 added, 72 deleted).
% 0.19/0.53 ; Trie-index has 92 nodes (117 at peak, 229 added, 137 deleted).
% 0.19/0.53 ; Retrieved 59 generalization terms in 283 calls.
% 0.19/0.53 ; Retrieved 21 instance terms in 19 calls.
% 0.19/0.53 ; Retrieved 1,164 unifiable terms in 638 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of rows to process has 4 entries:
% 0.19/0.53 ; 2 with value 18 1 with value 21 1 with value 24
% 0.19/0.53 ; The agenda of rows to give has 5 entries:
% 0.19/0.53 ; 1 with value (4 16) 1 with value (4 18) 3 with value (4 22)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.064 seconds of real time
% 0.19/0.53 0.054124 seconds of user run time
% 0.19/0.53 0.009792 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 6,912,200 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T19:56:37
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 *
%------------------------------------------------------------------------------