TSTP Solution File: GRP012+5 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP012+5 : TPTP v8.1.0. Released v3.1.0.
% 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 : Sat Jul 16 11:35:14 EDT 2022
% Result : Theorem 0.40s 0.58s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 9 RR)
% Number of literals : 17 ( 0 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,negated_conjecture,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(Z,U,W)
| product(X,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distribution) ).
cnf(3,negated_conjecture,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(X,V,W)
| product(Z,U,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distribution) ).
cnf(5,negated_conjecture,
product('SKOLEMAAAW1',X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distribution) ).
cnf(6,negated_conjecture,
product(X,inverse(X),'SKOLEMAAAW1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distribution) ).
cnf(8,negated_conjecture,
product(inverse('SKOLEMAAAW3'),inverse('SKOLEMAAAW4'),'SKOLEMAAAW5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distribution) ).
cnf(9,negated_conjecture,
product('SKOLEMAAAW4','SKOLEMAAAW3','SKOLEMAAAW6'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distribution) ).
cnf(10,negated_conjecture,
~ product(inverse('SKOLEMAAAW5'),inverse('SKOLEMAAAW6'),'SKOLEMAAAW1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distribution) ).
cnf(11,plain,
product('SKOLEMAAAW3','SKOLEMAAAW5',inverse('SKOLEMAAAW4')),
inference('HYPERRESOLVE',[status(thm)],[2,6,8,5]) ).
cnf(90,plain,
~ product('SKOLEMAAAW6','SKOLEMAAAW1',inverse('SKOLEMAAAW5')),
inference('UR-RESOLVE',[status(thm)],[3,5,6,10]) ).
cnf(152,plain,
product('SKOLEMAAAW6','SKOLEMAAAW5','SKOLEMAAAW1'),
inference('HYPERRESOLVE',[status(thm)],[3,11,9,6]) ).
cnf(177,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,152,6,5]),90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP012+5 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 13:41:43 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.50 *
% 0.22/0.50 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T13:41:43
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-14T13:41:43
% 0.22/0.53
% 0.22/0.53 ; Recognized relation function assertion (|product| ?X ?Y (SKOLEMAAAW2 ?X ?Y)).
% 0.22/0.53 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.22/0.53 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.22/0.53 ; Recognized possible right identity assertion (|product| ?X SKOLEMAAAW1 ?X).
% 0.22/0.53 ; Recognized possible left identity assertion (|product| SKOLEMAAAW1 ?X ?X).
% 0.22/0.53 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) SKOLEMAAAW1).
% 0.40/0.58 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X SKOLEMAAAW1).
% 0.40/0.58
% 0.40/0.58 #||
% 0.40/0.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.58 % SZS output start Refutation
% See solution above
% 0.40/0.58 ||#
% 0.40/0.58
% 0.40/0.58 ; Summary of computation:
% 0.40/0.58 ; 640 formulas have been input or derived (from 13 formulas).
% 0.40/0.58 ; 177 (28%) were retained. Of these,
% 0.40/0.58 ; 177 (100%) are still being kept.
% 0.40/0.58 ;
% 0.40/0.58 ; Run time in seconds excluding printing time:
% 0.40/0.58 ; 0.002 3% Read assertion file (1 call)
% 0.40/0.58 ; 0.001 1% Assert (1 call)
% 0.40/0.58 ; 0.016 24% Process new row (535 calls)
% 0.40/0.58 ; 0.016 24% Resolution (24 calls)
% 0.40/0.58 ; 0.000 0% Paramodulation (12 calls)
% 0.40/0.58 ; 0.000 0% Condensing (2 calls)
% 0.40/0.58 ; 0.000 0% Forward subsumption (2 calls)
% 0.40/0.58 ; 0.000 0% Backward subsumption (2 calls)
% 0.40/0.58 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.40/0.58 ; 0.002 3% Forward simplification (535 calls)
% 0.40/0.58 ; 0.003 4% Backward simplification (177 calls)
% 0.40/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.58 ; 0.000 0% Purity testing (1 call)
% 0.40/0.58 ; 0.027 40% Other
% 0.40/0.58 ; 0.067 Total
% 0.40/0.58 ; 0.069 Real time
% 0.40/0.58 ;
% 0.40/0.58 ; Term-hash-array has 280 terms in all.
% 0.40/0.58 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.40/0.58 ; Feature-vector-row-index has 3 nodes (3 at peak, 3 added, 0 deleted).
% 0.40/0.58 ; Retrieved 1 possibly forward subsuming row in 2 calls.
% 0.40/0.58 ; Retrieved 1 possibly backward subsumed row in 2 calls.
% 0.40/0.58 ; Path-index has 285 entries (285 at peak, 285 added, 0 deleted).
% 0.40/0.58 ; Path-index has 291 nodes (291 at peak, 291 added, 0 deleted).
% 0.40/0.58 ; Trie-index has 285 entries (285 at peak, 285 added, 0 deleted).
% 0.40/0.58 ; Trie-index has 836 nodes (836 at peak, 836 added, 0 deleted).
% 0.40/0.58 ; Retrieved 589 generalization terms in 541 calls.
% 0.40/0.58 ; Retrieved 184 instance terms in 174 calls.
% 0.40/0.58 ; Retrieved 9,844 unifiable terms in 1,015 calls.
% 0.40/0.58 ;
% 0.40/0.58 ; The agenda of rows to process has 56 entries:
% 0.40/0.58 ; 8 with value 10 4 with value 12 6 with value 14
% 0.40/0.58 ; 26 with value 11 12 with value 13
% 0.40/0.58 ; The agenda of rows to give has 164 entries:
% 0.40/0.58 ; 12 with value (4 8) 44 with value (4 11) 19 with value (4 14)
% 0.40/0.58 ; 21 with value (4 9) 34 with value (4 12) 2 with value (4 15)
% 0.40/0.58 ; 21 with value (4 10) 11 with value (4 13)
% 0.40/0.58 Evaluation took:
% 0.40/0.58 0.07 seconds of real time
% 0.40/0.58 0.060434 seconds of user run time
% 0.40/0.58 0.008885 seconds of system run time
% 0.40/0.58 0 calls to %EVAL
% 0.40/0.58 0 page faults and
% 0.40/0.58 3,615,128 bytes consed.
% 0.40/0.58 :PROOF-FOUND
% 0.40/0.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T13:41:43
% 0.40/0.58 :PROOF-FOUND
% 0.40/0.58 *
%------------------------------------------------------------------------------