TSTP Solution File: GEO006-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO006-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 06:13:00 EDT 2022
% Result : Unsatisfiable 45.04s 45.24s
% Output : Refutation 45.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 24 ( 18 unt; 1 nHn; 16 RR)
% Number of literals : 33 ( 6 equ; 13 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 : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 37 ( 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(transitivity_for_betweeness,axiom,
( ~ between(X,Y,Z)
| ~ between(Y,U,Z)
| between(X,Y,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',transitivity_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(a_not_c,hypothesis,
a != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
cnf(c_not_d,hypothesis,
c != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_not_d) ).
cnf(c_between_a_and_d,hypothesis,
between(a,c,d),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_not_between_others) ).
cnf(28,plain,
~ between(c,d,c),
inference('UR-RESOLVE',[status(thm)],[identity_for_betweeness,c_not_d]) ).
cnf(30,plain,
~ between(a,c,a),
inference('UR-RESOLVE',[status(thm)],[identity_for_betweeness,a_not_c]) ).
cnf(38,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(40,plain,
between(a,d,c),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[transitivity_for_betweeness,c_between_a_and_d,prove_not_between_others]),30]) ).
cnf(297,plain,
between(X,Y,Y),
inference('PARAMODULATE',[status(thm)],[segment_construction1,38,theory(equality)]) ).
cnf(302,plain,
between(d,c,outer_pasch(c,X,a,d,c)),
inference('HYPERRESOLVE',[status(thm)],[outer_pasch2,297,c_between_a_and_d]) ).
cnf(303,plain,
between(c,d,outer_pasch(d,X,a,c,d)),
inference('HYPERRESOLVE',[status(thm)],[outer_pasch2,297,40]) ).
cnf(305,plain,
between(X,outer_pasch(c,X,a,d,c),a),
inference('HYPERRESOLVE',[status(thm)],[outer_pasch1,297,c_between_a_and_d]) ).
cnf(306,plain,
between(X,outer_pasch(d,X,a,c,d),a),
inference('HYPERRESOLVE',[status(thm)],[outer_pasch1,297,40]) ).
cnf(1465,plain,
~ between(d,c,outer_pasch(d,X,a,c,d)),
inference('UR-RESOLVE',[status(thm)],[transitivity_for_betweeness,303,28]) ).
cnf(1661,plain,
a = outer_pasch(c,a,a,d,c),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,305]) ).
cnf(19139,plain,
between(d,c,a),
inference('PARAMODULATE',[status(thm)],[302,1661,theory(equality)]) ).
cnf(19145,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[transitivity_for_betweeness,19139,306]),1465]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.06 % Problem : GEO006-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.01/0.07 % Command : run-snark %s %d
% 0.06/0.25 % Computer : n024.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 600
% 0.06/0.25 % DateTime : Fri Jun 17 15:47:17 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.10/0.34 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 *
% 0.10/0.35 *
% 0.10/0.35 #<PACKAGE "SNARK-USER">
% 0.10/0.35 *
% 0.10/0.35 SNARK-TPTP-OPTIONS
% 0.10/0.35 *
% 0.10/0.35 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.10/0.35 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.10/0.35 (USE-FACTORING :POS)
% 0.10/0.36 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.10/0.36 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.10/0.36 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.10/0.36 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.10/0.36 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.10/0.36 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.10/0.36 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.10/0.36 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.10/0.36 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.10/0.36 (DECLARE-TPTP-SYMBOLS2))
% 0.10/0.36 *
% 0.10/0.36 "."
% 0.10/0.36 *
% 0.10/0.36 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T15:47:17
% 0.10/0.36 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-17T15:47:17
% 45.04/45.24
% 45.04/45.24
% 45.04/45.24 #||
% 45.04/45.24 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.04/45.24 % SZS output start Refutation
% See solution above
% 45.04/45.25 ||#
% 45.04/45.25
% 45.04/45.25 ; Summary of computation:
% 45.04/45.25 ; 70483 formulas have been input or derived (from 218 formulas).
% 45.04/45.25 ; 19145 (27%) were retained. Of these,
% 45.04/45.25 ; 1273 ( 7%) were simplified or subsumed later,
% 45.04/45.25 ; 17872 (93%) are still being kept.
% 45.04/45.25 ;
% 45.04/45.25 ; Run time in seconds excluding printing time:
% 45.04/45.25 ; 0.006 0% Read assertion file (1 call)
% 45.04/45.25 ; 0.001 0% Assert (25 calls)
% 45.04/45.25 ; 2.106 5% Process new row (64,680 calls)
% 45.04/45.25 ; 37.481 84% Resolution (434 calls)
% 45.04/45.25 ; 0.009 0% Paramodulation (217 calls)
% 45.04/45.25 ; 0.000 0% Factoring (1 call)
% 45.04/45.25 ; 0.048 0% Condensing (5,081 calls)
% 45.04/45.25 ; 1.571 4% Forward subsumption (5,081 calls)
% 45.04/45.25 ; 0.518 1% Backward subsumption (3,951 calls)
% 45.04/45.25 ; 0.403 1% Clause clause subsumption (205,525 calls)
% 45.04/45.25 ; 1.856 4% Forward simplification (64,277 calls)
% 45.04/45.25 ; 0.490 1% Backward simplification (19,145 calls)
% 45.04/45.25 ; 0.007 0% Ordering (7,035 calls)
% 45.04/45.25 ; 0.000 0% Sortal reasoning (32 calls)
% 45.04/45.25 ; 0.001 0% Purity testing (1 call)
% 45.04/45.25 ; 0.382 1% Other
% 45.04/45.25 ; 44.879 Total
% 45.04/45.25 ; 44.891 Real time
% 45.04/45.25 ;
% 45.04/45.25 ; Term-hash-array has 34,325 terms in all.
% 45.04/45.25 ; Feature-vector-row-index has 3,470 entries (3,470 at peak, 3,951 added, 481 deleted).
% 45.04/45.25 ; Feature-vector-row-index has 16,324 nodes (16,626 at peak, 19,649 added, 3,325 deleted).
% 45.04/45.25 ; Retrieved 154,518 possibly forward subsuming rows in 5,081 calls.
% 45.04/45.25 ; Retrieved 66,960 possibly backward subsumed rows in 3,951 calls.
% 45.04/45.25 ; Path-index has 32,859 entries (32,859 at peak, 35,291 added, 2,432 deleted).
% 45.04/45.25 ; Path-index has 11,110 nodes (11,110 at peak, 11,902 added, 792 deleted).
% 45.04/45.25 ; Trie-index has 32,859 entries (32,859 at peak, 35,291 added, 2,432 deleted).
% 45.04/45.25 ; Trie-index has 358,237 nodes (358,237 at peak, 383,027 added, 24,790 deleted).
% 45.04/45.25 ; Retrieved 342,263 generalization terms in 192,500 calls.
% 45.04/45.25 ; Retrieved 22,151 instance terms in 15,193 calls.
% 45.04/45.25 ; Retrieved 69,490,167 unifiable terms in 538,380 calls.
% 45.04/45.25 ;
% 45.04/45.25 ; The agenda of rows to process has 916 entries:
% 45.04/45.25 ; 60 with value 17 50 with value 26 32 with value 34
% 45.04/45.25 ; 6 with value 18 101 with value 27 43 with value 35
% 45.04/45.25 ; 6 with value 19 107 with value 28 23 with value 37
% 45.04/45.25 ; 1 with value 20 27 with value 30 51 with value 38
% 45.04/45.25 ; 46 with value 21 21 with value 31 1 with value 39
% 45.04/45.25 ; 35 with value 22 67 with value 32 32 with value 40
% 45.04/45.25 ; 121 with value 23 23 with value 33 23 with value 42
% 45.04/45.25 ; 40 with value 24
% 45.04/45.25 ; The agenda of rows to give has 17664 entries:
% 45.04/45.25 ; 2 with value (4 11) 714 with value (4 34) 109 with value (4 55)
% 45.04/45.25 ; 8 with value (4 14) 130 with value (4 35) 11 with value (4 56)
% 45.04/45.25 ; 120 with value (4 15) 797 with value (4 36) 524 with value (4 57)
% 45.04/45.25 ; 14 with value (4 16) 178 with value (4 37) 16 with value (4 58)
% 45.04/45.25 ; 22 with value (4 17) 189 with value (4 38) 542 with value (4 59)
% 45.04/45.25 ; 58 with value (4 18) 451 with value (4 39) 58 with value (4 60)
% 45.04/45.25 ; 200 with value (4 19) 99 with value (4 40) 120 with value (4 62)
% 45.04/45.25 ; 143 with value (4 20) 259 with value (4 41) 3 with value (4 63)
% 45.04/45.25 ; 747 with value (4 21) 841 with value (4 42) 34 with value (4 64)
% 45.04/45.25 ; 37 with value (4 22) 996 with value (4 43) 44 with value (4 65)
% 45.04/45.25 ; 78 with value (4 23) 51 with value (4 44) 83 with value (4 67)
% 45.04/45.25 ; 103 with value (4 24) 105 with value (4 45) 26 with value (4 68)
% 45.04/45.25 ; 325 with value (4 25) 1301 with value (4 46) 11 with value (4 69)
% 45.04/45.25 ; 2267 with value (4 26) 254 with value (4 47) 92 with value (4 72)
% 45.04/45.25 ; 19 with value (4 27) 105 with value (4 48) 2 with value (4 74)
% 45.04/45.25 ; 93 with value (4 28) 255 with value (4 49) 52 with value (4 76)
% 45.04/45.25 ; 128 with value (4 29) 153 with value (4 50) 11 with value (4 77)
% 45.04/45.25 ; 645 with value (4 30) 625 with value (4 51) 30 with value (4 78)
% 45.04/45.25 ; 1425 with value (4 31) 267 with value (4 52) 44 with value (4 80)
% 45.04/45.25 ; 640 with value (4 32) 648 with value (4 53) 52 with value (4 82)
% 45.04/45.25 ; 118 with value (4 33) 179 with value (4 54) 11 with value (4 92)
% 45.04/45.25 Evaluation took:
% 45.04/45.25 44.896 seconds of real time
% 45.04/45.25 43.84159 seconds of user run time
% 45.04/45.25 1.04405 seconds of system run time
% 45.04/45.25 [Run times include 3.826 seconds GC run time.]
% 45.04/45.25 0 calls to %EVAL
% 45.04/45.25 0 page faults and
% 45.04/45.25 1,717,232,976 bytes consed.
% 45.04/45.25 :PROOF-FOUND
% 45.04/45.25 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T15:48:02
% 45.04/45.25 :PROOF-FOUND
% 45.04/45.25 *
%------------------------------------------------------------------------------