TSTP Solution File: LCL527+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL527+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 : Sun Jul 17 14:23:28 EDT 2022
% Result : Theorem 0.43s 0.62s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 13 unt; 2 nHn; 15 RR)
% Number of literals : 33 ( 2 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ modus_ponens
| ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y))
| is_a_theorem(Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',modus_ponens) ).
cnf(20,axiom,
( ~ and_3
| is_a_theorem(implies(X,implies(Y,and(X,Y)))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',and_3) ).
cnf(57,axiom,
( ~ op_implies_and
| implies(X,Y) = not(and(X,not(Y))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax',op_implies_and) ).
cnf(60,axiom,
op_implies_and,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax',hilbert_op_implies_and) ).
cnf(62,axiom,
modus_ponens,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax',hilbert_modus_ponens) ).
cnf(69,axiom,
and_3,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax',hilbert_and_3) ).
cnf(85,axiom,
( adjunction
| is_a_theorem('SKOLEMAAAV59') ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+0.ax',adjunction) ).
cnf(86,axiom,
( adjunction
| is_a_theorem('SKOLEMAAAV60') ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+0.ax',adjunction) ).
cnf(87,axiom,
( adjunction
| ~ is_a_theorem(and('SKOLEMAAAV59','SKOLEMAAAV60')) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+0.ax',adjunction) ).
cnf(139,negated_conjecture,
~ adjunction,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_adjunction) ).
cnf(140,plain,
is_a_theorem('SKOLEMAAAV59'),
inference('REWRITE',[status(thm)],[85,139]) ).
cnf(141,plain,
is_a_theorem('SKOLEMAAAV60'),
inference('REWRITE',[status(thm)],[86,139]) ).
cnf(142,plain,
~ is_a_theorem(and('SKOLEMAAAV59','SKOLEMAAAV60')),
inference('REWRITE',[status(thm)],[87,139]) ).
cnf(206,plain,
is_a_theorem(implies(X,implies(Y,and(X,Y)))),
inference('REWRITE',[status(thm)],[20,69]) ).
cnf(215,plain,
( ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y))
| is_a_theorem(Y) ),
inference('REWRITE',[status(thm)],[1,62]) ).
cnf(217,plain,
implies(X,Y) = not(and(X,not(Y))),
inference('REWRITE',[status(thm)],[57,60]) ).
cnf(226,plain,
is_a_theorem(not(and(X,not(not(and(Y,not(and(X,Y)))))))),
inference('REWRITE',[status(thm)],[206,217,theory(equality)]) ).
cnf(275,plain,
( ~ is_a_theorem(X)
| ~ is_a_theorem(not(and(X,not(Y))))
| is_a_theorem(Y) ),
inference('REWRITE',[status(thm)],[215,217,theory(equality)]) ).
cnf(315,plain,
~ is_a_theorem(not(and('SKOLEMAAAV60',not(and('SKOLEMAAAV59','SKOLEMAAAV60'))))),
inference('UR-RESOLVE',[status(thm)],[275,141,142]) ).
cnf(343,plain,
is_a_theorem(not(and(X,not(and('SKOLEMAAAV59',X))))),
inference('HYPERRESOLVE',[status(thm)],[275,226,140]) ).
cnf(344,plain,
$false,
inference('REWRITE',[status(thm)],[315,343]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL527+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 3 14:22:46 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T14:22:46
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-03T14:22:46
% 0.20/0.52 WARNING:
% 0.20/0.52 #:|op_necessarily| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.20/0.52 WARNING:
% 0.20/0.52 #:|op_implies_or| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.20/0.52 WARNING:
% 0.20/0.52 #:|op_and| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.20/0.52 WARNING:
% 0.20/0.52 #:|op_implies| is a proposition that occurs only positively; disabling rows that contain it.
% 0.43/0.62
% 0.43/0.62
% 0.43/0.62 #||
% 0.43/0.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.62 % SZS output start Refutation
% See solution above
% 0.43/0.62 ||#
% 0.43/0.62
% 0.43/0.62 ; Summary of computation:
% 0.43/0.62 ; 409 formulas have been input or derived (from 70 formulas).
% 0.43/0.62 ; 344 (84%) were retained. Of these,
% 0.43/0.62 ; 198 (58%) were simplified or subsumed later,
% 0.43/0.62 ; 146 (42%) are still being kept.
% 0.43/0.62 ;
% 0.43/0.62 ; Run time in seconds excluding printing time:
% 0.43/0.62 ; 0.016 12% Read assertion file (1 call)
% 0.43/0.62 ; 0.007 5% Assert (88 calls)
% 0.43/0.62 ; 0.038 29% Process new row (379 calls)
% 0.43/0.62 ; 0.005 4% Resolution (138 calls)
% 0.43/0.62 ; 0.000 0% Paramodulation (69 calls)
% 0.43/0.62 ; 0.000 0% Factoring (2 calls)
% 0.43/0.62 ; 0.004 3% Condensing (231 calls)
% 0.43/0.62 ; 0.010 8% Forward subsumption (231 calls)
% 0.43/0.62 ; 0.002 2% Backward subsumption (231 calls)
% 0.43/0.62 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.43/0.62 ; 0.010 8% Forward simplification (375 calls)
% 0.43/0.62 ; 0.017 13% Backward simplification (344 calls)
% 0.43/0.62 ; 0.001 1% Ordering (46 calls)
% 0.43/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.43/0.62 ; 0.001 1% Purity testing (1 call)
% 0.43/0.62 ; 0.022 17% Other
% 0.43/0.62 ; 0.133 Total
% 0.43/0.62 ; 0.135 Real time
% 0.43/0.62 ;
% 0.43/0.62 ; Term-hash-array has 1,200 terms in all.
% 0.43/0.62 ; Feature-vector-row-index has 61 entries (77 at peak, 231 added, 170 deleted).
% 0.43/0.62 ; Feature-vector-row-index has 597 nodes (597 at peak, 1,837 added, 1,240 deleted).
% 0.43/0.62 ; Retrieved 18 possibly forward subsuming rows in 231 calls.
% 0.43/0.62 ; Retrieved 14 possibly backward subsumed rows in 231 calls.
% 0.43/0.62 ; Path-index has 735 entries (738 at peak, 1,716 added, 981 deleted).
% 0.43/0.62 ; Path-index has 2,545 nodes (2,546 at peak, 4,340 added, 1,795 deleted).
% 0.43/0.62 ; Trie-index has 735 entries (738 at peak, 1,716 added, 981 deleted).
% 0.43/0.62 ; Trie-index has 2,930 nodes (2,943 at peak, 6,003 added, 3,073 deleted).
% 0.43/0.62 ; Retrieved 182 generalization terms in 655 calls.
% 0.43/0.62 ; Retrieved 319 instance terms in 112 calls.
% 0.43/0.62 ; Retrieved 1,680 unifiable terms in 408 calls.
% 0.43/0.62 ;
% 0.43/0.62 ; The agenda of rows to process has 24 entries:
% 0.43/0.62 ; 2 with value 14 6 with value 23 5 with value 29
% 0.43/0.62 ; 1 with value 15 1 with value 24 4 with value 31
% 0.43/0.62 ; 1 with value 22 4 with value 28
% 0.43/0.62 ; The agenda of input rows to give has 37 entries:
% 0.43/0.62 ; 1 with value 20 3 with value 27 2 with value 35
% 0.43/0.62 ; 5 with value 21 4 with value 30 2 with value 36
% 0.43/0.62 ; 4 with value 23 3 with value 32 2 with value 37
% 0.43/0.62 ; 4 with value 24 2 with value 34 3 with value 39
% 0.43/0.62 ; 2 with value 25
% 0.43/0.62 ; The agenda of rows to give has 39 entries:
% 0.43/0.62 ; 2 with value (4 6) 1 with value (4 13) 6 with value (4 21)
% 0.43/0.62 ; 1 with value (4 7) 4 with value (4 14) 1 with value (4 22)
% 0.43/0.62 ; 1 with value (4 9) 2 with value (4 15) 1 with value (4 25)
% 0.43/0.62 ; 2 with value (4 10) 1 with value (4 16) 3 with value (4 26)
% 0.43/0.62 ; 2 with value (4 11) 1 with value (4 19) 2 with value (4 27)
% 0.43/0.62 ; 4 with value (4 12) 5 with value (4 20)
% 0.43/0.62 Evaluation took:
% 0.43/0.62 0.136 seconds of real time
% 0.43/0.62 0.123614 seconds of user run time
% 0.43/0.62 0.012167 seconds of system run time
% 0.43/0.62 0 calls to %EVAL
% 0.43/0.62 0 page faults and
% 0.43/0.62 10,024,664 bytes consed.
% 0.43/0.62 :PROOF-FOUND
% 0.43/0.62 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T14:22:46
% 0.43/0.62 :PROOF-FOUND
% 0.43/0.62 *
%------------------------------------------------------------------------------