TSTP Solution File: GEO039-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO039-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 12 unt; 0 nHn; 10 RR)
% Number of literals : 16 ( 5 equ; 5 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 : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 18 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(segment_construction1,axiom,
between(X,Y,extension(X,Y,Z,U)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(segment_construction2,axiom,
equidistant(X,extension(Y,X,Z,U),Z,U),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(identity_for_betweeness,axiom,
( ~ between(X,Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
cnf(w_between_u_and_x,hypothesis,
between(u,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_x) ).
cnf(u_is_x,hypothesis,
u = x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_x) ).
cnf(prove_corollary,negated_conjecture,
~ between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary) ).
cnf(22,plain,
~ between(v,w,u),
inference('REWRITE',[status(thm)],[prove_corollary,u_is_x,theory(equality)]) ).
cnf(23,plain,
between(u,w,u),
inference('REWRITE',[status(thm)],[w_between_u_and_x,u_is_x,theory(equality)]) ).
cnf(24,plain,
u = w,
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,23]) ).
cnf(25,plain,
~ between(v,u,u),
inference('REWRITE',[status(thm)],[22,24,theory(equality)]) ).
cnf(27,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(50,plain,
between(X,Y,Y),
inference('PARAMODULATE',[status(thm)],[segment_construction1,27,theory(equality)]) ).
cnf(51,plain,
$false,
inference('REWRITE',[status(thm)],[25,50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO039-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 05:36:32 EDT 2022
% 0.12/0.34 % 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 2022-06-18T05:36:32
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-18T05:36:32
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54 #||
% 0.19/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.54 % SZS output start Refutation
% See solution above
% 0.19/0.54 ||#
% 0.19/0.54
% 0.19/0.54 ; Summary of computation:
% 0.19/0.54 ; 253 formulas have been input or derived (from 27 formulas).
% 0.19/0.54 ; 51 (20%) were retained. Of these,
% 0.19/0.54 ; 9 (18%) were simplified or subsumed later,
% 0.19/0.54 ; 42 (82%) are still being kept.
% 0.19/0.54 ;
% 0.19/0.54 ; Run time in seconds excluding printing time:
% 0.19/0.54 ; 0.006 8% Read assertion file (1 call)
% 0.19/0.54 ; 0.001 1% Assert (21 calls)
% 0.19/0.54 ; 0.003 4% Process new row (188 calls)
% 0.19/0.54 ; 0.030 42% Resolution (52 calls)
% 0.19/0.54 ; 0.000 0% Paramodulation (26 calls)
% 0.19/0.54 ; 0.001 1% Condensing (26 calls)
% 0.19/0.54 ; 0.000 0% Forward subsumption (26 calls)
% 0.19/0.54 ; 0.000 0% Backward subsumption (22 calls)
% 0.19/0.54 ; 0.000 0% Clause clause subsumption (31 calls)
% 0.19/0.54 ; 0.005 7% Forward simplification (188 calls)
% 0.19/0.54 ; 0.001 1% Backward simplification (50 calls)
% 0.19/0.54 ; 0.000 0% Ordering (35 calls)
% 0.19/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.54 ; 0.000 0% Purity testing (1 call)
% 0.19/0.54 ; 0.025 35% Other
% 0.19/0.54 ; 0.072 Total
% 0.19/0.54 ; 0.074 Real time
% 0.19/0.54 ;
% 0.19/0.54 ; Term-hash-array has 96 terms in all.
% 0.19/0.54 ; Feature-vector-row-index has 19 entries (21 at peak, 22 added, 3 deleted).
% 0.19/0.54 ; Feature-vector-row-index has 57 nodes (58 at peak, 61 added, 4 deleted).
% 0.19/0.54 ; Retrieved 23 possibly forward subsuming rows in 26 calls.
% 0.19/0.54 ; Retrieved 8 possibly backward subsumed rows in 22 calls.
% 0.19/0.54 ; Path-index has 92 entries (98 at peak, 106 added, 14 deleted).
% 0.19/0.54 ; Path-index has 461 nodes (463 at peak, 480 added, 19 deleted).
% 0.19/0.54 ; Trie-index has 92 entries (98 at peak, 106 added, 14 deleted).
% 0.19/0.54 ; Trie-index has 394 nodes (406 at peak, 434 added, 40 deleted).
% 0.19/0.54 ; Retrieved 333 generalization terms in 320 calls.
% 0.19/0.54 ; Retrieved 79 instance terms in 27 calls.
% 0.19/0.54 ; Retrieved 19,732 unifiable terms in 2,461 calls.
% 0.19/0.54 ;
% 0.19/0.54 ; The agenda of rows to process has 1 entry:
% 0.19/0.54 ; 1 with value 8
% 0.19/0.54 ; The agenda of rows to give has 19 entries:
% 0.19/0.54 ; 1 with value (4 7) 1 with value (4 18) 1 with value (4 26)
% 0.19/0.54 ; 3 with value (4 12) 1 with value (4 19) 1 with value (4 27)
% 0.19/0.54 ; 2 with value (4 13) 2 with value (4 21) 1 with value (4 29)
% 0.19/0.54 ; 1 with value (4 14) 1 with value (4 24) 1 with value (4 34)
% 0.19/0.54 ; 1 with value (4 17) 1 with value (4 25) 1 with value (4 42)
% 0.19/0.54 Evaluation took:
% 0.19/0.54 0.075 seconds of real time
% 0.19/0.54 0.062062 seconds of user run time
% 0.19/0.54 0.012278 seconds of system run time
% 0.19/0.54 0 calls to %EVAL
% 0.19/0.54 0 page faults and
% 0.19/0.54 3,803,376 bytes consed.
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T05:36:32
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 *
%------------------------------------------------------------------------------