%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO029-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 06:13:16 EDT 2022
% Result : Unsatisfiable 5.85s 6.07s
% Output : Refutation 5.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 11 unt; 1 nHn; 7 RR)
% Number of literals : 24 ( 4 equ; 12 neg)
% Maximal clause size : 8 ( 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 : 44 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(reflexivity_for_equidistance,axiom,
equidistant(X,Y,Y,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(transitivity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,U)
| ~ equidistant(X,Y,V,W)
| equidistant(Z,U,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
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_construction1,axiom,
between(X,Y,extension(X,Y,Z,U)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
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(outer_five_segment,axiom,
( ~ equidistant(X,Y,Z,U)
| ~ equidistant(Y,V,U,W)
| ~ equidistant(X,X1,Z,Y1)
| ~ equidistant(Y,X1,U,Y1)
| ~ between(X,Y,V)
| ~ between(Z,U,W)
| X = Y
| equidistant(V,X1,W,Y1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
cnf(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
cnf(prove_equal_extensions,negated_conjecture,
extension(u,v,u,v) != extension(u,v,v,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equal_extensions) ).
cnf(26,plain,
~ equidistant(extension(u,v,u,v),extension(u,v,v,u),X,X),
inference('UR-RESOLVE',[status(thm)],[identity_for_equidistance,prove_equal_extensions]) ).
cnf(30,plain,
equidistant(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,reflexivity_for_equidistance,reflexivity_for_equidistance]) ).
cnf(56,plain,
equidistant(X,Y,Z,extension(U,Z,X,Y)),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,30,segment_construction2]) ).
cnf(172,plain,
equidistant(X,Y,Z,extension(U,Z,Y,X)),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,56,reflexivity_for_equidistance]) ).
cnf(1277,plain,
equidistant(X,extension(Y,X,Z,U),V,extension(W,V,U,Z)),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,172,56]) ).
cnf(2281,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[outer_five_segment,26,30,30,30,segment_construction1,segment_construction1,u_not_v]),1277]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO029-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n009.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 : Fri Jun 17 23:22:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T23:22:23
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-17T23:22:23
% 5.85/6.07
% 5.85/6.07
% 5.85/6.07 #||
% 5.85/6.07 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.85/6.07 % SZS output start Refutation
% See solution above
% 5.85/6.07 ||#
% 5.85/6.07
% 5.85/6.07 ; Summary of computation:
% 5.85/6.07 ; 16222 formulas have been input or derived (from 58 formulas).
% 5.85/6.07 ; 2281 (14%) were retained. Of these,
% 5.85/6.07 ; 298 (13%) were simplified or subsumed later,
% 5.85/6.07 ; 1983 (87%) are still being kept.
% 5.85/6.07 ;
% 5.85/6.07 ; Run time in seconds excluding printing time:
% 5.85/6.07 ; 0.006 0% Read assertion file (1 call)
% 5.85/6.07 ; 0.001 0% Assert (20 calls)
% 5.85/6.07 ; 0.267 5% Process new row (14,007 calls)
% 5.85/6.07 ; 4.695 84% Resolution (114 calls)
% 5.85/6.07 ; 0.000 0% Paramodulation (57 calls)
% 5.85/6.07 ; 0.006 0% Condensing (739 calls)
% 5.85/6.07 ; 0.070 1% Forward subsumption (739 calls)
% 5.85/6.07 ; 0.042 1% Backward subsumption (576 calls)
% 5.85/6.07 ; 0.027 0% Clause clause subsumption (20,564 calls)
% 5.85/6.07 ; 0.340 6% Forward simplification (13,495 calls)
% 5.85/6.07 ; 0.091 2% Backward simplification (2,281 calls)
% 5.85/6.07 ; 0.003 0% Ordering (984 calls)
% 5.85/6.07 ; 0.000 0% Sortal reasoning (32 calls)
% 5.85/6.07 ; 0.000 0% Purity testing (1 call)
% 5.85/6.07 ; 0.058 1% Other
% 5.85/6.07 ; 5.606 Total
% 5.85/6.07 ; 5.608 Real time
% 5.85/6.07 ;
% 5.85/6.07 ; Term-hash-array has 4,771 terms in all.
% 5.85/6.07 ; Feature-vector-row-index has 472 entries (472 at peak, 576 added, 104 deleted).
% 5.85/6.07 ; Feature-vector-row-index has 732 nodes (766 at peak, 1,037 added, 305 deleted).
% 5.85/6.07 ; Retrieved 15,954 possibly forward subsuming rows in 739 calls.
% 5.85/6.07 ; Retrieved 7,557 possibly backward subsumed rows in 576 calls.
% 5.85/6.07 ; Path-index has 4,383 entries (4,384 at peak, 5,011 added, 628 deleted).
% 5.85/6.07 ; Path-index has 7,397 nodes (7,397 at peak, 7,660 added, 263 deleted).
% 5.85/6.07 ; Trie-index has 4,383 entries (4,384 at peak, 5,011 added, 628 deleted).
% 5.85/6.07 ; Trie-index has 42,188 nodes (42,188 at peak, 47,836 added, 5,648 deleted).
% 5.85/6.07 ; Retrieved 106,018 generalization terms in 43,935 calls.
% 5.85/6.07 ; Retrieved 12,475 instance terms in 1,704 calls.
% 5.85/6.07 ; Retrieved 10,859,768 unifiable terms in 127,173 calls.
% 5.85/6.07 ;
% 5.85/6.07 ; The agenda of rows to process has 9 entries:
% 5.85/6.07 ; 1 with value 18 3 with value 22 1 with value 24
% 5.85/6.07 ; 2 with value 21 2 with value 23
% 5.85/6.07 ; The agenda of rows to give has 1926 entries:
% 5.85/6.07 ; 1 with value (4 14) 23 with value (4 40) 10 with value (4 65)
% 5.85/6.07 ; 1 with value (4 16) 58 with value (4 41) 8 with value (4 66)
% 5.85/6.07 ; 13 with value (4 17) 57 with value (4 42) 8 with value (4 67)
% 5.85/6.07 ; 14 with value (4 18) 115 with value (4 43) 4 with value (4 68)
% 5.85/6.07 ; 31 with value (4 19) 12 with value (4 44) 30 with value (4 69)
% 5.85/6.07 ; 2 with value (4 20) 25 with value (4 45) 10 with value (4 72)
% 5.85/6.07 ; 22 with value (4 21) 45 with value (4 46) 26 with value (4 73)
% 5.85/6.07 ; 14 with value (4 22) 42 with value (4 47) 12 with value (4 74)
% 5.85/6.07 ; 44 with value (4 23) 23 with value (4 48) 24 with value (4 76)
% 5.85/6.07 ; 18 with value (4 24) 43 with value (4 49) 16 with value (4 77)
% 5.85/6.07 ; 18 with value (4 25) 28 with value (4 50) 16 with value (4 80)
% 5.85/6.07 ; 55 with value (4 26) 62 with value (4 51) 2 with value (4 81)
% 5.85/6.07 ; 18 with value (4 27) 32 with value (4 52) 22 with value (4 84)
% 5.85/6.07 ; 21 with value (4 28) 55 with value (4 53) 12 with value (4 85)
% 5.85/6.07 ; 12 with value (4 29) 32 with value (4 54) 8 with value (4 86)
% 5.85/6.07 ; 56 with value (4 30) 29 with value (4 55) 2 with value (4 87)
% 5.85/6.07 ; 41 with value (4 31) 20 with value (4 56) 4 with value (4 90)
% 5.85/6.07 ; 56 with value (4 32) 32 with value (4 57) 4 with value (4 92)
% 5.85/6.07 ; 19 with value (4 33) 4 with value (4 58) 32 with value (4 94)
% 5.85/6.07 ; 81 with value (4 34) 43 with value (4 59) 2 with value (4 97)
% 5.85/6.07 ; 31 with value (4 35) 23 with value (4 60) 22 with value (4 98)
% 5.85/6.07 ; 37 with value (4 36) 34 with value (4 61) 2 with value (4 109)
% 5.85/6.07 ; 42 with value (4 37) 13 with value (4 62) 6 with value (4 110)
% 5.85/6.07 ; 42 with value (4 38) 3 with value (4 63) 8 with value (4 114)
% 5.85/6.07 ; 62 with value (4 39) 16 with value (4 64) 16 with value (4 118)
% 5.85/6.07 Evaluation took:
% 5.85/6.07 5.608 seconds of real time
% 5.85/6.07 5.483976 seconds of user run time
% 5.85/6.07 0.12388 seconds of system run time
% 5.85/6.07 [Run times include 0.242 seconds GC run time.]
% 5.85/6.07 0 calls to %EVAL
% 5.85/6.07 0 page faults and
% 5.85/6.07 294,428,720 bytes consed.
% 5.85/6.07 :PROOF-FOUND
% 5.85/6.07 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T23:22:28
% 5.85/6.07 :PROOF-FOUND
% 5.85/6.07 *
%------------------------------------------------------------------------------