TSTP Solution File: GEO067-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO067-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 06:13:36 EDT 2022
% Result : Unsatisfiable 0.38s 0.56s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 9 unt; 0 nHn; 12 RR)
% Number of literals : 35 ( 6 equ; 19 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 31 ( 8 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(colinearity1,axiom,
( ~ between(X,Y,Z)
| colinear(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity1) ).
cnf(colinearity2,axiom,
( ~ between(X,Y,Z)
| colinear(Z,X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity2) ).
cnf(colinearity3,axiom,
( ~ between(X,Y,Z)
| colinear(Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity3) ).
cnf(part_1,negated_conjecture,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| x = y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_1) ).
cnf(part_2,negated_conjecture,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| ~ colinear(x,z,y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_2) ).
cnf(28,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(48,plain,
between(X,Y,Y),
inference('PARAMODULATE',[status(thm)],[segment_construction1,28,theory(equality)]) ).
cnf(50,plain,
colinear(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[colinearity3,48]) ).
cnf(51,plain,
( ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| x = y ),
inference('REWRITE',[status(thm)],[part_1,50]) ).
cnf(52,plain,
( ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| ~ colinear(x,z,y) ),
inference('REWRITE',[status(thm)],[part_2,50]) ).
cnf(53,plain,
colinear(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[colinearity2,48]) ).
cnf(54,plain,
( ~ colinear(y,x,x)
| x = y ),
inference('REWRITE',[status(thm)],[51,53]) ).
cnf(55,plain,
( ~ colinear(y,x,x)
| ~ colinear(x,z,y) ),
inference('REWRITE',[status(thm)],[52,53]) ).
cnf(56,plain,
colinear(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[colinearity1,48]) ).
cnf(57,plain,
x = y,
inference('REWRITE',[status(thm)],[54,56]) ).
cnf(58,plain,
$false,
inference('REWRITE',[status(thm)],[55,53,57,56,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO067-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 15:57:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T15:57:53
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-18T15:57:53
% 0.38/0.56
% 0.38/0.56
% 0.38/0.56 #||
% 0.38/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.56 % SZS output start Refutation
% See solution above
% 0.38/0.56 ||#
% 0.38/0.56
% 0.38/0.56 ; Summary of computation:
% 0.38/0.56 ; 345 formulas have been input or derived (from 31 formulas).
% 0.38/0.56 ; 58 (17%) were retained. Of these,
% 0.38/0.56 ; 9 (16%) were simplified or subsumed later,
% 0.38/0.56 ; 49 (84%) are still being kept.
% 0.38/0.56 ;
% 0.38/0.56 ; Run time in seconds excluding printing time:
% 0.38/0.56 ; 0.007 9% Read assertion file (1 call)
% 0.38/0.56 ; 0.001 1% Assert (24 calls)
% 0.38/0.56 ; 0.002 2% Process new row (153 calls)
% 0.38/0.56 ; 0.037 45% Resolution (60 calls)
% 0.38/0.56 ; 0.000 0% Paramodulation (30 calls)
% 0.38/0.56 ; 0.001 1% Condensing (33 calls)
% 0.38/0.56 ; 0.000 0% Forward subsumption (33 calls)
% 0.38/0.56 ; 0.003 4% Backward subsumption (29 calls)
% 0.38/0.56 ; 0.000 0% Clause clause subsumption (32 calls)
% 0.38/0.56 ; 0.006 7% Forward simplification (153 calls)
% 0.38/0.56 ; 0.002 2% Backward simplification (58 calls)
% 0.38/0.56 ; 0.000 0% Ordering (23 calls)
% 0.38/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.56 ; 0.000 0% Purity testing (1 call)
% 0.38/0.56 ; 0.023 28% Other
% 0.38/0.56 ; 0.082 Total
% 0.38/0.56 ; 0.083 Real time
% 0.38/0.56 ;
% 0.38/0.56 ; Term-hash-array has 97 terms in all.
% 0.38/0.56 ; Feature-vector-row-index has 20 entries (24 at peak, 29 added, 9 deleted).
% 0.38/0.56 ; Feature-vector-row-index has 43 nodes (61 at peak, 97 added, 54 deleted).
% 0.38/0.56 ; Retrieved 25 possibly forward subsuming rows in 33 calls.
% 0.38/0.56 ; Retrieved 17 possibly backward subsumed rows in 29 calls.
% 0.38/0.56 ; Path-index has 94 entries (97 at peak, 121 added, 27 deleted).
% 0.38/0.56 ; Path-index has 447 nodes (454 at peak, 490 added, 43 deleted).
% 0.38/0.56 ; Trie-index has 94 entries (97 at peak, 121 added, 27 deleted).
% 0.38/0.56 ; Trie-index has 323 nodes (339 at peak, 385 added, 62 deleted).
% 0.38/0.56 ; Retrieved 286 generalization terms in 264 calls.
% 0.38/0.56 ; Retrieved 134 instance terms in 28 calls.
% 0.38/0.56 ; Retrieved 28,632 unifiable terms in 2,934 calls.
% 0.38/0.56 ;
% 0.38/0.56 ; The agenda of rows to process has 117 entries:
% 0.38/0.56 ; 3 with value 8 1 with value 22 5 with value 32
% 0.38/0.56 ; 24 with value 13 9 with value 23 8 with value 33
% 0.38/0.56 ; 8 with value 14 1 with value 24 9 with value 36
% 0.38/0.56 ; 8 with value 15 5 with value 27 8 with value 37
% 0.38/0.56 ; 8 with value 16 4 with value 28 1 with value 53
% 0.38/0.56 ; 13 with value 18 1 with value 29 1 with value 54
% 0.38/0.56 ; The agenda of input rows to give has 1 entry:
% 0.38/0.56 ; 1 with value 4
% 0.38/0.56 ; The agenda of rows to give has 19 entries:
% 0.38/0.56 ; 4 with value (4 8) 1 with value (4 18) 1 with value (4 26)
% 0.38/0.56 ; 3 with value (4 11) 1 with value (4 19) 1 with value (4 27)
% 0.38/0.56 ; 2 with value (4 12) 1 with value (4 24) 1 with value (4 29)
% 0.38/0.56 ; 1 with value (4 13) 1 with value (4 25) 1 with value (4 42)
% 0.38/0.56 ; 1 with value (4 17)
% 0.38/0.56 Evaluation took:
% 0.38/0.56 0.085 seconds of real time
% 0.38/0.56 0.075761 seconds of user run time
% 0.38/0.56 0.008652 seconds of system run time
% 0.38/0.56 0 calls to %EVAL
% 0.38/0.56 0 page faults and
% 0.38/0.56 4,905,360 bytes consed.
% 0.38/0.56 :PROOF-FOUND
% 0.38/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T15:57:54
% 0.38/0.56 :PROOF-FOUND
% 0.38/0.56 *
%------------------------------------------------------------------------------