TSTP Solution File: GEO006-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO006-3 : TPTP v8.1.0. Released v1.0.0.
% 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 06:13:01 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 6 unt; 1 nHn; 9 RR)
% Number of literals : 14 ( 4 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b2,axiom,
( ~ between(X,Y,Z)
| ~ between(Y,X,Z)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b2) ).
cnf(b3,axiom,
( ~ between(X,Y,Z)
| ~ between(X,Z,Y)
| Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b3) ).
cnf(a_not_c,hypothesis,
a != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).
cnf(c_not_d,hypothesis,
c != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_not_d) ).
cnf(c_between_a_and_d,hypothesis,
between(a,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_between_a_and_d) ).
cnf(prove_not_between_others,negated_conjecture,
( between(c,a,d)
| between(a,d,c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_not_between_others) ).
cnf(107,plain,
~ between(c,a,d),
inference('UR-RESOLVE',[status(thm)],[b2,c_between_a_and_d,a_not_c]) ).
cnf(108,plain,
between(a,d,c),
inference('REWRITE',[status(thm)],[prove_not_between_others,107]) ).
cnf(123,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[b3,c_between_a_and_d,108,c_not_d]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO006-3 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.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 14:51:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-18T14:51:55
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-18T14:51:55
% 0.19/0.48
% 0.19/0.52 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.52 ; 390 formulas have been input or derived (from 39 formulas).
% 0.19/0.52 ; 123 (32%) were retained. Of these,
% 0.19/0.52 ; 5 ( 4%) were simplified or subsumed later,
% 0.19/0.52 ; 118 (96%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds excluding printing time:
% 0.19/0.52 ; 0.011 17% Read assertion file (1 call)
% 0.19/0.52 ; 0.000 0% Assert (54 calls)
% 0.19/0.52 ; 0.013 21% Process new row (300 calls)
% 0.19/0.52 ; 0.004 6% Resolution (76 calls)
% 0.19/0.52 ; 0.000 0% Paramodulation (38 calls)
% 0.19/0.52 ; 0.000 0% Factoring (1 call)
% 0.19/0.52 ; 0.003 5% Condensing (38 calls)
% 0.19/0.52 ; 0.000 0% Forward subsumption (38 calls)
% 0.19/0.52 ; 0.001 2% Backward subsumption (37 calls)
% 0.19/0.52 ; 0.003 5% Clause clause subsumption (132 calls)
% 0.19/0.52 ; 0.003 5% Forward simplification (299 calls)
% 0.19/0.52 ; 0.000 0% Backward simplification (122 calls)
% 0.19/0.52 ; 0.000 0% Ordering (50 calls)
% 0.19/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.52 ; 0.000 0% Purity testing (1 call)
% 0.19/0.52 ; 0.025 40% Other
% 0.19/0.52 ; 0.063 Total
% 0.19/0.52 ; 0.064 Real time
% 0.19/0.52 ;
% 0.19/0.52 ; Term-hash-array has 178 terms in all.
% 0.19/0.52 ; Feature-vector-row-index has 34 entries (37 at peak, 37 added, 3 deleted).
% 0.19/0.52 ; Feature-vector-row-index has 45 nodes (53 at peak, 53 added, 8 deleted).
% 0.19/0.52 ; Retrieved 60 possibly forward subsuming rows in 38 calls.
% 0.19/0.52 ; Retrieved 72 possibly backward subsumed rows in 37 calls.
% 0.19/0.52 ; Path-index has 182 entries (182 at peak, 186 added, 4 deleted).
% 0.19/0.52 ; Path-index has 338 nodes (338 at peak, 341 added, 3 deleted).
% 0.19/0.52 ; Trie-index has 182 entries (182 at peak, 186 added, 4 deleted).
% 0.19/0.52 ; Trie-index has 389 nodes (389 at peak, 396 added, 7 deleted).
% 0.19/0.52 ; Retrieved 750 generalization terms in 512 calls.
% 0.19/0.52 ; Retrieved 188 instance terms in 84 calls.
% 0.19/0.52 ; Retrieved 4,152 unifiable terms in 344 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of rows to process has 20 entries:
% 0.19/0.52 ; 4 with value 5 16 with value 6
% 0.19/0.52 ; The agenda of input rows to give has 16 entries:
% 0.19/0.52 ; 1 with value 15 1 with value 24 1 with value 34
% 0.19/0.52 ; 3 with value 18 2 with value 25 1 with value 35
% 0.19/0.52 ; 2 with value 21 1 with value 28 1 with value 37
% 0.19/0.52 ; 1 with value 23 1 with value 30 1 with value 44
% 0.19/0.52 ; The agenda of rows to give has 64 entries:
% 0.19/0.52 ; 3 with value (4 5) 6 with value (4 8) 7 with value (4 11)
% 0.19/0.52 ; 16 with value (4 6) 7 with value (4 9) 7 with value (4 12)
% 0.19/0.52 ; 6 with value (4 7) 11 with value (4 10) 1 with value (4 13)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.065 seconds of real time
% 0.19/0.52 0.058524 seconds of user run time
% 0.19/0.52 0.006225 seconds of system run time
% 0.19/0.52 0 calls to %EVAL
% 0.19/0.52 0 page faults and
% 0.19/0.52 3,267,632 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T14:51:55
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------