%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO057-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 06:13:31 EDT 2022
% Result : Unsatisfiable 0.20s 0.57s
% 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 ( 5 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-4 aty)
% Number of variables : 13 ( 2 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_construction2,axiom,
equidistant(X,extension(Y,X,Z,U),Z,U),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(reflection,axiom,
reflection(X,Y) = extension(X,Y,X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-2.ax',reflection) ).
cnf(prove_null_extension_by_reflection,negated_conjecture,
u != reflection(u,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_extension_by_reflection) ).
cnf(25,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(97,plain,
reflection(X,X) = X,
inference('PARAMODULATE',[status(thm)],[reflection,25,theory(equality)]) ).
cnf(100,plain,
$false,
inference('REWRITE',[status(thm)],[prove_null_extension_by_reflection,97,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO057-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.33 % Computer : n006.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % 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 : Sat Jun 18 05:04:10 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-18T05:04:10
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-18T05:04:10
% 0.20/0.57
% 0.20/0.57
% 0.20/0.57 #||
% 0.20/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.57 % SZS output start Refutation
% See solution above
% 0.20/0.57 ||#
% 0.20/0.57
% 0.20/0.57 ; Summary of computation:
% 0.20/0.57 ; 362 formulas have been input or derived (from 27 formulas).
% 0.20/0.57 ; 100 (28%) were retained. Of these,
% 0.20/0.57 ; 48 (48%) were simplified or subsumed later,
% 0.20/0.57 ; 52 (52%) are still being kept.
% 0.20/0.57 ;
% 0.20/0.57 ; Run time in seconds excluding printing time:
% 0.20/0.57 ; 0.006 6% Read assertion file (1 call)
% 0.20/0.57 ; 0.001 1% Assert (20 calls)
% 0.20/0.57 ; 0.012 12% Process new row (265 calls)
% 0.20/0.57 ; 0.043 43% Resolution (52 calls)
% 0.20/0.57 ; 0.000 0% Paramodulation (26 calls)
% 0.20/0.57 ; 0.003 3% Condensing (38 calls)
% 0.20/0.57 ; 0.000 0% Forward subsumption (38 calls)
% 0.20/0.57 ; 0.001 1% Backward subsumption (31 calls)
% 0.20/0.57 ; 0.000 0% Clause clause subsumption (53 calls)
% 0.20/0.57 ; 0.007 7% Forward simplification (265 calls)
% 0.20/0.57 ; 0.004 4% Backward simplification (100 calls)
% 0.20/0.57 ; 0.000 0% Ordering (28 calls)
% 0.20/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.57 ; 0.000 0% Purity testing (1 call)
% 0.20/0.57 ; 0.024 24% Other
% 0.20/0.57 ; 0.101 Total
% 0.20/0.57 ; 0.103 Real time
% 0.20/0.57 ;
% 0.20/0.57 ; Term-hash-array has 191 terms in all.
% 0.20/0.57 ; Feature-vector-row-index has 26 entries (27 at peak, 31 added, 5 deleted).
% 0.20/0.57 ; Feature-vector-row-index has 79 nodes (80 at peak, 87 added, 8 deleted).
% 0.20/0.57 ; Retrieved 44 possibly forward subsuming rows in 38 calls.
% 0.20/0.57 ; Retrieved 11 possibly backward subsumed rows in 31 calls.
% 0.20/0.57 ; Path-index has 109 entries (182 at peak, 198 added, 89 deleted).
% 0.20/0.57 ; Path-index has 725 nodes (956 at peak, 975 added, 250 deleted).
% 0.20/0.57 ; Trie-index has 109 entries (182 at peak, 198 added, 89 deleted).
% 0.20/0.57 ; Trie-index has 452 nodes (1,274 at peak, 1,336 added, 884 deleted).
% 0.20/0.57 ; Retrieved 682 generalization terms in 492 calls.
% 0.20/0.57 ; Retrieved 210 instance terms in 68 calls.
% 0.20/0.57 ; Retrieved 30,802 unifiable terms in 3,137 calls.
% 0.20/0.57 ;
% 0.20/0.57 ; The agenda of backward simplifiable rows to process has 26 entries:
% 0.20/0.57 ; 26 with value 0
% 0.20/0.57 ; The agenda of rows to give has 29 entries:
% 0.20/0.57 ; 1 with value (4 7) 1 with value (4 16) 1 with value (4 27)
% 0.20/0.57 ; 1 with value (4 8) 1 with value (4 17) 1 with value (4 28)
% 0.20/0.57 ; 1 with value (4 9) 1 with value (4 18) 1 with value (4 29)
% 0.20/0.57 ; 1 with value (4 10) 1 with value (4 19) 1 with value (4 33)
% 0.20/0.57 ; 2 with value (4 12) 2 with value (4 22) 1 with value (4 37)
% 0.20/0.57 ; 1 with value (4 13) 4 with value (4 24) 1 with value (4 39)
% 0.20/0.57 ; 1 with value (4 14) 1 with value (4 25) 1 with value (4 42)
% 0.20/0.57 ; 1 with value (4 15) 2 with value (4 26)
% 0.20/0.57 Evaluation took:
% 0.20/0.57 0.104 seconds of real time
% 0.20/0.57 0.091252 seconds of user run time
% 0.20/0.57 0.012179 seconds of system run time
% 0.20/0.57 0 calls to %EVAL
% 0.20/0.57 0 page faults and
% 0.20/0.57 4,900,392 bytes consed.
% 0.20/0.57 :PROOF-FOUND
% 0.20/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T05:04:11
% 0.20/0.57 :PROOF-FOUND
% 0.20/0.57 *
%------------------------------------------------------------------------------