TSTP Solution File: GEO039-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO039-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 06:13:21 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 8 unt; 0 nHn; 8 RR)
% Number of literals : 10 ( 3 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 4 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_betweeness,axiom,
( ~ between(X,Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
cnf(t3,axiom,
between(X,Y,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).
cnf(w_between_u_and_x,hypothesis,
between(u,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_u_and_x) ).
cnf(u_is_x,hypothesis,
u = x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_is_x) ).
cnf(prove_corollary,negated_conjecture,
~ between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary) ).
cnf(49,plain,
~ between(v,w,u),
inference('REWRITE',[status(thm)],[prove_corollary,u_is_x,theory(equality)]) ).
cnf(50,plain,
between(u,w,u),
inference('REWRITE',[status(thm)],[w_between_u_and_x,u_is_x,theory(equality)]) ).
cnf(51,plain,
u = w,
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,50]) ).
cnf(52,plain,
$false,
inference('REWRITE',[status(thm)],[49,t3,51,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO039-3 : TPTP v8.1.0. Released v1.0.0.
% 0.14/0.15 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jun 18 05:20:23 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T05:20:24
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-18T05:20:24
% 0.21/0.52
% 0.21/0.54 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 0.21/0.54
% 0.21/0.54 #||
% 0.21/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.54 % SZS output start Refutation
% See solution above
% 0.21/0.54 ||#
% 0.21/0.54
% 0.21/0.54 ; Summary of computation:
% 0.21/0.54 ; 60 formulas have been input or derived (from 14 formulas).
% 0.21/0.54 ; 52 (87%) were retained. Of these,
% 0.21/0.54 ; 6 (12%) were simplified or subsumed later,
% 0.21/0.54 ; 46 (88%) are still being kept.
% 0.21/0.54 ;
% 0.21/0.54 ; Run time in seconds excluding printing time:
% 0.21/0.54 ; 0.010 23% Read assertion file (1 call)
% 0.21/0.54 ; 0.002 5% Assert (47 calls)
% 0.21/0.54 ; 0.006 14% Process new row (54 calls)
% 0.21/0.54 ; 0.001 2% Resolution (26 calls)
% 0.21/0.54 ; 0.000 0% Paramodulation (13 calls)
% 0.21/0.54 ; 0.000 0% Condensing (28 calls)
% 0.21/0.54 ; 0.000 0% Forward subsumption (28 calls)
% 0.21/0.54 ; 0.000 0% Backward subsumption (28 calls)
% 0.21/0.54 ; 0.001 2% Clause clause subsumption (101 calls)
% 0.21/0.54 ; 0.002 5% Forward simplification (54 calls)
% 0.21/0.54 ; 0.000 0% Backward simplification (50 calls)
% 0.21/0.54 ; 0.000 0% Ordering (16 calls)
% 0.21/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.55 ; 0.000 0% Purity testing (1 call)
% 0.21/0.55 ; 0.022 50% Other
% 0.21/0.55 ; 0.044 Total
% 0.21/0.55 ; 0.045 Real time
% 0.21/0.55 ;
% 0.21/0.55 ; Term-hash-array has 89 terms in all.
% 0.21/0.55 ; Feature-vector-row-index has 28 entries (28 at peak, 28 added, 0 deleted).
% 0.21/0.55 ; Feature-vector-row-index has 41 nodes (41 at peak, 41 added, 0 deleted).
% 0.21/0.55 ; Retrieved 52 possibly forward subsuming rows in 28 calls.
% 0.21/0.55 ; Retrieved 49 possibly backward subsumed rows in 28 calls.
% 0.21/0.55 ; Path-index has 91 entries (93 at peak, 98 added, 7 deleted).
% 0.21/0.55 ; Path-index has 226 nodes (230 at peak, 238 added, 12 deleted).
% 0.21/0.55 ; Trie-index has 91 entries (93 at peak, 98 added, 7 deleted).
% 0.21/0.55 ; Trie-index has 166 nodes (172 at peak, 182 added, 16 deleted).
% 0.21/0.55 ; Retrieved 101 generalization terms in 100 calls.
% 0.21/0.55 ; Retrieved 91 instance terms in 21 calls.
% 0.21/0.55 ; Retrieved 313 unifiable terms in 58 calls.
% 0.21/0.55 ;
% 0.21/0.55 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.21/0.55 ; 1 with value 0
% 0.21/0.55 ; The agenda of rows to process has 3 entries:
% 0.21/0.55 ; 3 with value 5
% 0.21/0.55 ; The agenda of input rows to give has 33 entries:
% 0.21/0.55 ; 2 with value 9 3 with value 18 1 with value 30
% 0.21/0.55 ; 3 with value 10 2 with value 21 1 with value 34
% 0.21/0.55 ; 4 with value 11 1 with value 23 1 with value 35
% 0.21/0.55 ; 7 with value 12 1 with value 24 1 with value 37
% 0.21/0.55 ; 1 with value 14 2 with value 25 1 with value 44
% 0.21/0.55 ; 1 with value 15 1 with value 28
% 0.21/0.55 ; The agenda of rows to give has 1 entry:
% 0.21/0.55 ; 1 with value (4 5)
% 0.21/0.55 Evaluation took:
% 0.21/0.55 0.046 seconds of real time
% 0.21/0.55 0.040723 seconds of user run time
% 0.21/0.55 0.004687 seconds of system run time
% 0.21/0.55 0 calls to %EVAL
% 0.21/0.55 0 page faults and
% 0.21/0.55 2,357,904 bytes consed.
% 0.21/0.55 :PROOF-FOUND
% 0.21/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T05:20:24
% 0.21/0.55 :PROOF-FOUND
% 0.21/0.55 *
%------------------------------------------------------------------------------