TSTP Solution File: GEO002-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO002-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 06:12:58 EDT 2022
% Result : Unsatisfiable 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 11 unt; 0 nHn; 8 RR)
% Number of literals : 25 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-5 aty)
% Number of variables : 46 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(transitivity_for_betweeness,axiom,
( ~ between(X,Y,Z)
| ~ between(Y,U,Z)
| between(X,Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_for_betweeness) ).
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,Z)
| equalish(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).
cnf(outer_pasch1,axiom,
( ~ between(X,Y,Z)
| ~ between(U,Z,V)
| between(X,outer_pasch(Y,X,U,V,Z),U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outer_pasch1) ).
cnf(outer_pasch2,axiom,
( ~ between(X,Y,Z)
| ~ between(U,Z,V)
| between(V,Y,outer_pasch(Y,X,U,V,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outer_pasch2) ).
cnf(segment_construction1,axiom,
between(X,Y,extension(X,Y,Z,U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).
cnf(segment_construction2,axiom,
equidistant(X,extension(Y,X,Z,U),Z,U),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).
cnf(between_substitution3,axiom,
( ~ equalish(X,Y)
| ~ between(Z,U,X)
| between(Z,U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_substitution3) ).
cnf(prove_a_between_a_and_b,negated_conjecture,
~ between(a,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_between_a_and_b) ).
cnf(9,plain,
equalish(X,extension(Y,X,Z,Z)),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(11,plain,
between(X,X,X),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_betweeness,segment_construction1,segment_construction1]) ).
cnf(28,plain,
between(X,X,extension(Y,X,Z,Z)),
inference('HYPERRESOLVE',[status(thm)],[between_substitution3,9,11]) ).
cnf(41,plain,
between(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_betweeness,28,segment_construction1]) ).
cnf(58,plain,
between(X,X,outer_pasch(X,Y,Z,X,X)),
inference('HYPERRESOLVE',[status(thm)],[outer_pasch2,41,41]) ).
cnf(59,plain,
between(X,outer_pasch(Y,X,Z,Y,Y),Z),
inference('HYPERRESOLVE',[status(thm)],[outer_pasch1,41,41]) ).
cnf(138,plain,
~ between(a,b,outer_pasch(a,X,Y,a,a)),
inference('UR-RESOLVE',[status(thm)],[transitivity_for_betweeness,58,prove_a_between_a_and_b]) ).
cnf(237,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[transitivity_for_betweeness,138,segment_construction1,59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO002-4 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.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 09:10:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T09:10:03
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-18T09:10:03
% 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 ; 519 formulas have been input or derived (from 58 formulas).
% 0.19/0.54 ; 237 (46%) were retained. Of these,
% 0.19/0.54 ; 19 ( 8%) were simplified or subsumed later,
% 0.19/0.54 ; 218 (92%) are still being kept.
% 0.19/0.54 ;
% 0.19/0.54 ; Run time in seconds excluding printing time:
% 0.19/0.54 ; 0.002 3% Read assertion file (1 call)
% 0.19/0.54 ; 0.000 0% Assert (8 calls)
% 0.19/0.54 ; 0.031 40% Process new row (465 calls)
% 0.19/0.54 ; 0.008 10% Resolution (114 calls)
% 0.19/0.54 ; 0.001 1% Paramodulation (57 calls)
% 0.19/0.54 ; 0.000 0% Condensing (5 calls)
% 0.19/0.54 ; 0.000 0% Forward subsumption (5 calls)
% 0.19/0.54 ; 0.000 0% Backward subsumption (5 calls)
% 0.19/0.54 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.19/0.54 ; 0.004 5% Forward simplification (450 calls)
% 0.19/0.54 ; 0.005 6% Backward simplification (237 calls)
% 0.19/0.54 ; 0.001 1% Sortal reasoning (32 calls)
% 0.19/0.54 ; 0.000 0% Purity testing (1 call)
% 0.19/0.54 ; 0.025 32% Other
% 0.19/0.54 ; 0.077 Total
% 0.19/0.54 ; 0.079 Real time
% 0.19/0.54 ;
% 0.19/0.54 ; Term-hash-array has 434 terms in all.
% 0.19/0.54 ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.19/0.54 ; Feature-vector-row-index has 9 nodes (9 at peak, 9 added, 0 deleted).
% 0.19/0.54 ; Retrieved 3 possibly forward subsuming rows in 5 calls.
% 0.19/0.54 ; Retrieved 1 possibly backward subsumed row in 5 calls.
% 0.19/0.54 ; Path-index has 399 entries (399 at peak, 439 added, 40 deleted).
% 0.19/0.54 ; Path-index has 1,036 nodes (1,036 at peak, 1,048 added, 12 deleted).
% 0.19/0.54 ; Trie-index has 399 entries (399 at peak, 439 added, 40 deleted).
% 0.19/0.54 ; Trie-index has 1,978 nodes (1,978 at peak, 2,078 added, 100 deleted).
% 0.19/0.54 ; Retrieved 986 generalization terms in 443 calls.
% 0.19/0.54 ; Retrieved 606 instance terms in 231 calls.
% 0.19/0.54 ; Retrieved 5,544 unifiable terms in 746 calls.
% 0.19/0.54 ;
% 0.19/0.54 ; The agenda of rows to process has 10 entries:
% 0.19/0.54 ; 1 with value 11 2 with value 17 2 with value 21
% 0.19/0.54 ; 1 with value 16 2 with value 20 2 with value 22
% 0.19/0.54 ; The agenda of rows to give has 162 entries:
% 0.19/0.54 ; 4 with value (4 16) 7 with value (4 27) 1 with value (4 37)
% 0.19/0.54 ; 10 with value (4 17) 3 with value (4 28) 3 with value (4 38)
% 0.19/0.54 ; 11 with value (4 18) 1 with value (4 29) 1 with value (4 39)
% 0.19/0.54 ; 21 with value (4 19) 4 with value (4 30) 3 with value (4 41)
% 0.19/0.54 ; 16 with value (4 20) 1 with value (4 31) 1 with value (4 42)
% 0.19/0.54 ; 13 with value (4 21) 5 with value (4 32) 1 with value (4 43)
% 0.19/0.54 ; 12 with value (4 22) 2 with value (4 33) 2 with value (4 47)
% 0.19/0.54 ; 2 with value (4 23) 3 with value (4 34) 1 with value (4 53)
% 0.19/0.54 ; 14 with value (4 24) 2 with value (4 35) 2 with value (4 60)
% 0.19/0.54 ; 2 with value (4 25) 1 with value (4 36) 1 with value (4 68)
% 0.19/0.54 ; 12 with value (4 26)
% 0.19/0.54 Evaluation took:
% 0.19/0.54 0.079 seconds of real time
% 0.19/0.54 0.070368 seconds of user run time
% 0.19/0.54 0.009242 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 4,876,552 bytes consed.
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T09:10:03
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 *
%------------------------------------------------------------------------------