%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO003-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 0.20s 0.56s
% Output : Refutation 0.20s
% 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/GEO001-0.ax',identity_for_equidistance) ).
cnf(segment_construction1,axiom,
between(X,Y,extension(X,Y,Z,U)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',segment_construction1) ).
cnf(segment_construction2,axiom,
equidistant(X,extension(Y,X,Z,U),Z,U),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.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(22,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(60,plain,
between(X,Y,Y),
inference('PARAMODULATE',[status(thm)],[segment_construction1,22,theory(equality)]) ).
cnf(61,plain,
$false,
inference('REWRITE',[status(thm)],[prove_b_between_a_and_b,60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO003-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jun 17 17:52:24 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 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 2022-06-17T17:52:24
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-17T17:52:24
% 0.20/0.56
% 0.20/0.56
% 0.20/0.56 #||
% 0.20/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.56 % SZS output start Refutation
% See solution above
% 0.20/0.56 ||#
% 0.20/0.56
% 0.20/0.56 ; Summary of computation:
% 0.20/0.56 ; 286 formulas have been input or derived (from 25 formulas).
% 0.20/0.56 ; 61 (21%) were retained. Of these,
% 0.20/0.56 ; 4 ( 7%) were simplified or subsumed later,
% 0.20/0.56 ; 57 (93%) are still being kept.
% 0.20/0.56 ;
% 0.20/0.56 ; Run time in seconds excluding printing time:
% 0.20/0.56 ; 0.006 7% Read assertion file (1 call)
% 0.20/0.56 ; 0.001 1% Assert (21 calls)
% 0.20/0.56 ; 0.004 5% Process new row (213 calls)
% 0.20/0.56 ; 0.037 45% Resolution (48 calls)
% 0.20/0.56 ; 0.001 1% Paramodulation (24 calls)
% 0.20/0.56 ; 0.001 1% Condensing (28 calls)
% 0.20/0.56 ; 0.001 1% Forward subsumption (28 calls)
% 0.20/0.56 ; 0.000 0% Backward subsumption (24 calls)
% 0.20/0.56 ; 0.001 1% Clause clause subsumption (41 calls)
% 0.20/0.56 ; 0.006 7% Forward simplification (213 calls)
% 0.20/0.56 ; 0.001 1% Backward simplification (61 calls)
% 0.20/0.56 ; 0.000 0% Ordering (29 calls)
% 0.20/0.56 ; 0.001 1% Sortal reasoning (32 calls)
% 0.20/0.56 ; 0.000 0% Purity testing (1 call)
% 0.20/0.56 ; 0.023 28% Other
% 0.20/0.56 ; 0.083 Total
% 0.20/0.56 ; 0.085 Real time
% 0.20/0.56 ;
% 0.20/0.56 ; Term-hash-array has 123 terms in all.
% 0.20/0.56 ; Feature-vector-row-index has 22 entries (23 at peak, 24 added, 2 deleted).
% 0.20/0.56 ; Feature-vector-row-index has 51 nodes (51 at peak, 55 added, 4 deleted).
% 0.20/0.56 ; Retrieved 32 possibly forward subsuming rows in 28 calls.
% 0.20/0.56 ; Retrieved 9 possibly backward subsumed rows in 24 calls.
% 0.20/0.56 ; Path-index has 124 entries (126 at peak, 129 added, 5 deleted).
% 0.20/0.56 ; Path-index has 550 nodes (551 at peak, 559 added, 9 deleted).
% 0.20/0.56 ; Trie-index has 124 entries (126 at peak, 129 added, 5 deleted).
% 0.20/0.56 ; Trie-index has 536 nodes (537 at peak, 554 added, 18 deleted).
% 0.20/0.56 ; Retrieved 460 generalization terms in 348 calls.
% 0.20/0.56 ; Retrieved 141 instance terms in 36 calls.
% 0.20/0.56 ; Retrieved 33,751 unifiable terms in 2,700 calls.
% 0.20/0.56 ;
% 0.20/0.56 ; The agenda of rows to process has 1 entry:
% 0.20/0.56 ; 1 with value 8
% 0.20/0.56 ; The agenda of rows to give has 34 entries:
% 0.20/0.56 ; 1 with value (4 7) 1 with value (4 19) 1 with value (4 29)
% 0.20/0.56 ; 8 with value (4 11) 3 with value (4 22) 2 with value (4 30)
% 0.20/0.56 ; 2 with value (4 12) 1 with value (4 24) 1 with value (4 33)
% 0.20/0.56 ; 3 with value (4 13) 1 with value (4 25) 1 with value (4 34)
% 0.20/0.56 ; 1 with value (4 14) 2 with value (4 26) 1 with value (4 35)
% 0.20/0.56 ; 1 with value (4 15) 1 with value (4 27) 1 with value (4 42)
% 0.20/0.56 ; 2 with value (4 18)
% 0.20/0.56 Evaluation took:
% 0.20/0.56 0.085 seconds of real time
% 0.20/0.56 0.078655 seconds of user run time
% 0.20/0.56 0.005971 seconds of system run time
% 0.20/0.56 0 calls to %EVAL
% 0.20/0.56 0 page faults and
% 0.20/0.56 3,984,040 bytes consed.
% 0.20/0.56 :PROOF-FOUND
% 0.20/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T17:52:24
% 0.20/0.56 :PROOF-FOUND
% 0.20/0.56 *
%------------------------------------------------------------------------------