TSTP Solution File: GEO002-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO002-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 06:12:57 EDT 2022
% Result : Unsatisfiable 1.38s 1.62s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 6 RR)
% Number of literals : 20 ( 4 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-5 aty)
% Number of variables : 38 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_betweeness,axiom,
( ~ between(X,Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',identity_for_betweeness) ).
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',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/Axioms/GEO001-0.ax',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/Axioms/GEO001-0.ax',outer_pasch2) ).
cnf(segment_construction1,axiom,
between(X,Y,extension(X,Y,Z,U)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',segment_construction1) ).
cnf(segment_construction2,axiom,
equidistant(X,extension(Y,X,Z,U),Z,U),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',segment_construction2) ).
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(22,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(63,plain,
between(X,Y,Y),
inference('PARAMODULATE',[status(thm)],[segment_construction1,22,theory(equality)]) ).
cnf(69,plain,
between(X,X,outer_pasch(X,Y,Z,X,X)),
inference('HYPERRESOLVE',[status(thm)],[outer_pasch2,63,63]) ).
cnf(70,plain,
between(X,outer_pasch(Y,X,Z,Y,Y),Z),
inference('HYPERRESOLVE',[status(thm)],[outer_pasch1,63,63]) ).
cnf(271,plain,
X = outer_pasch(Y,X,X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,70]) ).
cnf(617,plain,
between(X,X,Y),
inference('PARAMODULATE',[status(thm)],[69,271,theory(equality)]) ).
cnf(618,plain,
$false,
inference('REWRITE',[status(thm)],[prove_a_between_a_and_b,617]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO002-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 13:55:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-18T13:55:47
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-18T13:55:47
% 1.38/1.62
% 1.38/1.62
% 1.38/1.62 #||
% 1.38/1.62 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.62 % SZS output start Refutation
% See solution above
% 1.46/1.62 ||#
% 1.46/1.62
% 1.46/1.62 ; Summary of computation:
% 1.46/1.62 ; 4715 formulas have been input or derived (from 70 formulas).
% 1.46/1.62 ; 618 (13%) were retained. Of these,
% 1.46/1.62 ; 67 (11%) were simplified or subsumed later,
% 1.46/1.62 ; 551 (89%) are still being kept.
% 1.46/1.62 ;
% 1.46/1.62 ; Run time in seconds excluding printing time:
% 1.46/1.62 ; 0.006 1% Read assertion file (1 call)
% 1.46/1.62 ; 0.001 0% Assert (21 calls)
% 1.46/1.62 ; 0.063 5% Process new row (3,679 calls)
% 1.46/1.62 ; 0.922 80% Resolution (138 calls)
% 1.46/1.62 ; 0.002 0% Paramodulation (69 calls)
% 1.46/1.62 ; 0.004 0% Condensing (273 calls)
% 1.46/1.62 ; 0.017 1% Forward subsumption (273 calls)
% 1.46/1.62 ; 0.006 1% Backward subsumption (220 calls)
% 1.46/1.62 ; 0.010 1% Clause clause subsumption (6,951 calls)
% 1.46/1.62 ; 0.078 7% Forward simplification (3,679 calls)
% 1.46/1.62 ; 0.009 1% Backward simplification (618 calls)
% 1.46/1.62 ; 0.000 0% Ordering (290 calls)
% 1.46/1.62 ; 0.001 0% Sortal reasoning (32 calls)
% 1.46/1.62 ; 0.001 0% Purity testing (1 call)
% 1.46/1.62 ; 0.032 3% Other
% 1.46/1.62 ; 1.152 Total
% 1.46/1.62 ; 1.153 Real time
% 1.46/1.62 ;
% 1.46/1.62 ; Term-hash-array has 1,337 terms in all.
% 1.46/1.62 ; Feature-vector-row-index has 179 entries (180 at peak, 220 added, 41 deleted).
% 1.46/1.62 ; Feature-vector-row-index has 188 nodes (189 at peak, 220 added, 32 deleted).
% 1.46/1.62 ; Retrieved 4,999 possibly forward subsuming rows in 273 calls.
% 1.46/1.62 ; Retrieved 2,778 possibly backward subsumed rows in 220 calls.
% 1.46/1.62 ; Path-index has 1,258 entries (1,264 at peak, 1,410 added, 152 deleted).
% 1.46/1.62 ; Path-index has 3,439 nodes (3,439 at peak, 3,561 added, 122 deleted).
% 1.46/1.62 ; Trie-index has 1,258 entries (1,264 at peak, 1,410 added, 152 deleted).
% 1.46/1.62 ; Trie-index has 7,173 nodes (7,201 at peak, 7,713 added, 540 deleted).
% 1.46/1.62 ; Retrieved 26,669 generalization terms in 13,640 calls.
% 1.46/1.62 ; Retrieved 1,324 instance terms in 397 calls.
% 1.46/1.62 ; Retrieved 1,794,775 unifiable terms in 56,596 calls.
% 1.46/1.62 ;
% 1.46/1.62 ; The agenda of rows to process has 1 entry:
% 1.46/1.62 ; 1 with value 10
% 1.46/1.62 ; The agenda of rows to give has 485 entries:
% 1.46/1.62 ; 1 with value (4 10) 4 with value (4 35) 13 with value (4 55)
% 1.46/1.62 ; 5 with value (4 15) 21 with value (4 36) 1 with value (4 56)
% 1.46/1.62 ; 9 with value (4 16) 14 with value (4 37) 4 with value (4 57)
% 1.46/1.62 ; 8 with value (4 17) 6 with value (4 38) 6 with value (4 59)
% 1.46/1.62 ; 23 with value (4 18) 2 with value (4 39) 8 with value (4 60)
% 1.46/1.62 ; 23 with value (4 19) 10 with value (4 40) 6 with value (4 62)
% 1.46/1.62 ; 9 with value (4 20) 39 with value (4 41) 3 with value (4 63)
% 1.46/1.62 ; 7 with value (4 21) 6 with value (4 42) 2 with value (4 64)
% 1.46/1.62 ; 3 with value (4 22) 13 with value (4 43) 4 with value (4 65)
% 1.46/1.62 ; 22 with value (4 23) 2 with value (4 44) 1 with value (4 67)
% 1.46/1.62 ; 6 with value (4 24) 12 with value (4 45) 2 with value (4 68)
% 1.46/1.62 ; 7 with value (4 25) 27 with value (4 46) 1 with value (4 69)
% 1.46/1.62 ; 11 with value (4 26) 5 with value (4 47) 4 with value (4 72)
% 1.46/1.62 ; 6 with value (4 27) 1 with value (4 48) 2 with value (4 74)
% 1.46/1.62 ; 7 with value (4 28) 17 with value (4 49) 4 with value (4 76)
% 1.46/1.62 ; 4 with value (4 29) 15 with value (4 50) 1 with value (4 77)
% 1.46/1.62 ; 3 with value (4 30) 7 with value (4 51) 6 with value (4 78)
% 1.46/1.62 ; 8 with value (4 31) 1 with value (4 52) 4 with value (4 80)
% 1.46/1.62 ; 11 with value (4 32) 13 with value (4 53) 4 with value (4 82)
% 1.46/1.62 ; 10 with value (4 33) 6 with value (4 54) 1 with value (4 92)
% 1.46/1.62 ; 4 with value (4 34)
% 1.46/1.62 Evaluation took:
% 1.46/1.62 1.154 seconds of real time
% 1.46/1.62 1.112533 seconds of user run time
% 1.46/1.62 0.040999 seconds of system run time
% 1.46/1.62 [Run times include 0.034 seconds GC run time.]
% 1.46/1.62 0 calls to %EVAL
% 1.46/1.62 0 page faults and
% 1.46/1.62 73,899,016 bytes consed.
% 1.46/1.62 :PROOF-FOUND
% 1.46/1.62 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T13:55:48
% 1.46/1.62 :PROOF-FOUND
% 1.46/1.62 *
%------------------------------------------------------------------------------