TSTP Solution File: GEO003-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO003-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 06:12:59 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 6 unt; 0 nHn; 3 RR)
% Number of literals : 8 ( 2 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-4 aty)
% Number of variables : 16 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(segment_construction1,axiom,
between(X,Y,extension(X,Y,Z,U)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(segment_construction2,axiom,
equidistant(X,extension(Y,X,Z,U),Z,U),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(prove_b_between_a_and_b,negated_conjecture,
~ between(a,b,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_between_a_and_b) ).
cnf(20,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(37,plain,
between(X,Y,Y),
inference('PARAMODULATE',[status(thm)],[segment_construction1,20,theory(equality)]) ).
cnf(38,plain,
$false,
inference('REWRITE',[status(thm)],[prove_b_between_a_and_b,37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO003-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jun 17 20:43:37 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 2022-06-17T20:43:37
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-17T20:43:37
% 0.21/0.54
% 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
% 0.39/0.54 ||#
% 0.39/0.54
% 0.39/0.54 ; Summary of computation:
% 0.39/0.54 ; 155 formulas have been input or derived (from 22 formulas).
% 0.39/0.54 ; 38 (25%) were retained. Of these,
% 0.39/0.54 ; 4 (11%) were simplified or subsumed later,
% 0.39/0.54 ; 34 (89%) are still being kept.
% 0.39/0.54 ;
% 0.39/0.54 ; Run time in seconds excluding printing time:
% 0.39/0.54 ; 0.006 10% Read assertion file (1 call)
% 0.39/0.54 ; 0.001 2% Assert (19 calls)
% 0.39/0.54 ; 0.002 3% Process new row (123 calls)
% 0.39/0.54 ; 0.021 36% Resolution (42 calls)
% 0.39/0.54 ; 0.000 0% Paramodulation (21 calls)
% 0.39/0.54 ; 0.001 2% Condensing (23 calls)
% 0.39/0.54 ; 0.001 2% Forward subsumption (23 calls)
% 0.39/0.54 ; 0.001 2% Backward subsumption (19 calls)
% 0.39/0.54 ; 0.000 0% Clause clause subsumption (26 calls)
% 0.39/0.54 ; 0.002 3% Forward simplification (123 calls)
% 0.39/0.54 ; 0.000 0% Backward simplification (38 calls)
% 0.39/0.54 ; 0.000 0% Ordering (19 calls)
% 0.39/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.54 ; 0.000 0% Purity testing (1 call)
% 0.39/0.54 ; 0.024 41% Other
% 0.39/0.54 ; 0.059 Total
% 0.39/0.54 ; 0.061 Real time
% 0.39/0.54 ;
% 0.39/0.54 ; Term-hash-array has 78 terms in all.
% 0.39/0.54 ; Feature-vector-row-index has 16 entries (18 at peak, 19 added, 3 deleted).
% 0.39/0.54 ; Feature-vector-row-index has 40 nodes (41 at peak, 44 added, 4 deleted).
% 0.39/0.54 ; Retrieved 19 possibly forward subsuming rows in 23 calls.
% 0.39/0.54 ; Retrieved 7 possibly backward subsumed rows in 19 calls.
% 0.39/0.54 ; Path-index has 75 entries (81 at peak, 84 added, 9 deleted).
% 0.39/0.54 ; Path-index has 399 nodes (404 at peak, 412 added, 13 deleted).
% 0.39/0.54 ; Trie-index has 75 entries (81 at peak, 84 added, 9 deleted).
% 0.39/0.54 ; Trie-index has 287 nodes (298 at peak, 315 added, 28 deleted).
% 0.39/0.54 ; Retrieved 259 generalization terms in 232 calls.
% 0.39/0.54 ; Retrieved 64 instance terms in 18 calls.
% 0.39/0.54 ; Retrieved 14,750 unifiable terms in 1,769 calls.
% 0.39/0.54 ;
% 0.39/0.54 ; The agenda of rows to process has 1 entry:
% 0.39/0.54 ; 1 with value 8
% 0.39/0.54 ; The agenda of rows to give has 13 entries:
% 0.39/0.54 ; 1 with value (4 7) 1 with value (4 18) 1 with value (4 26)
% 0.39/0.54 ; 2 with value (4 12) 1 with value (4 19) 1 with value (4 27)
% 0.39/0.54 ; 1 with value (4 13) 1 with value (4 24) 1 with value (4 29)
% 0.39/0.54 ; 1 with value (4 17) 1 with value (4 25) 1 with value (4 42)
% 0.39/0.54 Evaluation took:
% 0.39/0.54 0.061 seconds of real time
% 0.39/0.54 0.051645 seconds of user run time
% 0.39/0.54 0.009693 seconds of system run time
% 0.39/0.54 0 calls to %EVAL
% 0.39/0.54 0 page faults and
% 0.39/0.54 3,041,616 bytes consed.
% 0.39/0.54 :PROOF-FOUND
% 0.39/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T20:43:38
% 0.39/0.54 :PROOF-FOUND
% 0.39/0.54 *
%------------------------------------------------------------------------------