TSTP Solution File: GEO563+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO563+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 06:16:44 EDT 2022

% Result   : Theorem 14.83s 15.28s
% Output   : Refutation 14.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   35 (  20 unt;   0 nHn;  24 RR)
%            Number of literals    :   54 (   0 equ;  24 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-4 aty)
%            Number of variables   :  103 (  11 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( ~ coll(X,Y,Z)
    | ~ coll(X,Y,U)
    | coll(Z,U,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

cnf(7,axiom,
    ( ~ perp(X,Y,Z,U)
    | perp(Z,U,X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

cnf(8,axiom,
    ( ~ perp(X,Y,Z,U)
    | ~ perp(Z,U,V,W)
    | para(X,Y,V,W) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

cnf(16,axiom,
    ( ~ cyclic(X,Y,Z,U)
    | ~ cyclic(X,Y,Z,V)
    | cyclic(Y,Z,U,V) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).

cnf(17,axiom,
    ( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
    | eqangle(Y,X,Z,U,V,W,X1,Y1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).

cnf(18,axiom,
    ( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
    | eqangle(Z,U,X,Y,X1,Y1,V,W) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

cnf(19,axiom,
    ( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
    | eqangle(V,W,X1,Y1,X,Y,Z,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).

cnf(20,axiom,
    ( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
    | eqangle(X,Y,V,W,Z,U,X1,Y1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

cnf(38,axiom,
    ( ~ eqangle(X,Y,Z,U,V,W,Z,U)
    | para(X,Y,V,W) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

cnf(39,axiom,
    ( ~ para(X,Y,Z,U)
    | eqangle(X,Y,V,W,Z,U,V,W) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

cnf(40,axiom,
    ( ~ cyclic(X,Y,Z,U)
    | eqangle(Z,X,Z,Y,U,X,U,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).

cnf(42,axiom,
    ( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
    | ~ coll(X,U,Z)
    | cyclic(Y,Z,X,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

cnf(66,axiom,
    ( ~ para(X,Y,X,Z)
    | coll(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

cnf(98,axiom,
    ( ~ circle(X,Y,Z,U)
    | perp('SKOLEMAAAV12'(X,Y,Z,U),Y,Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).

cnf(116,negated_conjecture,
    circle('SKOLEMAAAV27','SKOLEMAAAV21','SKOLEMAAAV28','SKOLEMAAAV31'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214024) ).

cnf(119,negated_conjecture,
    ~ eqangle('SKOLEMAAAV22','SKOLEMAAAV29','SKOLEMAAAV29','SKOLEMAAAV28','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV28'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214024) ).

cnf(132,plain,
    perp('SKOLEMAAAV12'('SKOLEMAAAV27','SKOLEMAAAV21','SKOLEMAAAV28','SKOLEMAAAV31'),'SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV27'),
    inference('HYPERRESOLVE',[status(thm)],[98,116]) ).

cnf(137,plain,
    ~ eqangle('SKOLEMAAAV29','SKOLEMAAAV22','SKOLEMAAAV29','SKOLEMAAAV28','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV28'),
    inference('UR-RESOLVE',[status(thm)],[17,119]) ).

cnf(260,plain,
    ~ eqangle('SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV28','SKOLEMAAAV29','SKOLEMAAAV22','SKOLEMAAAV29','SKOLEMAAAV28'),
    inference('UR-RESOLVE',[status(thm)],[19,137]) ).

cnf(270,plain,
    perp('SKOLEMAAAV21','SKOLEMAAAV27','SKOLEMAAAV12'('SKOLEMAAAV27','SKOLEMAAAV21','SKOLEMAAAV28','SKOLEMAAAV31'),'SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[7,132]) ).

cnf(281,plain,
    ~ eqangle('SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV28','SKOLEMAAAV29','SKOLEMAAAV22','SKOLEMAAAV29','SKOLEMAAAV28'),
    inference('UR-RESOLVE',[status(thm)],[17,260]) ).

cnf(292,plain,
    para('SKOLEMAAAV21','SKOLEMAAAV27','SKOLEMAAAV21','SKOLEMAAAV27'),
    inference('HYPERRESOLVE',[status(thm)],[8,270,132]) ).

cnf(297,plain,
    eqangle('SKOLEMAAAV21','SKOLEMAAAV27',X,Y,'SKOLEMAAAV21','SKOLEMAAAV27',X,Y),
    inference('HYPERRESOLVE',[status(thm)],[39,292]) ).

cnf(791,plain,
    ~ cyclic('SKOLEMAAAV22','SKOLEMAAAV28','SKOLEMAAAV23','SKOLEMAAAV29'),
    inference('UR-RESOLVE',[status(thm)],[40,281]) ).

cnf(1736,plain,
    eqangle('SKOLEMAAAV21','SKOLEMAAAV27','SKOLEMAAAV21','SKOLEMAAAV27',X,Y,X,Y),
    inference('HYPERRESOLVE',[status(thm)],[20,297]) ).

cnf(1737,plain,
    eqangle(X,Y,'SKOLEMAAAV21','SKOLEMAAAV27',X,Y,'SKOLEMAAAV21','SKOLEMAAAV27'),
    inference('HYPERRESOLVE',[status(thm)],[18,297]) ).

cnf(3955,plain,
    para(X,Y,X,Y),
    inference('HYPERRESOLVE',[status(thm)],[38,1737]) ).

cnf(3961,plain,
    coll(X,Y,Y),
    inference('HYPERRESOLVE',[status(thm)],[66,3955]) ).

cnf(3965,plain,
    coll(X,X,Y),
    inference('HYPERRESOLVE',[status(thm)],[2,3961,3961]) ).

cnf(8871,plain,
    coll(X,Y,Z),
    inference('HYPERRESOLVE',[status(thm)],[2,3965,3965]) ).

cnf(8877,plain,
    ( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
    | cyclic(Y,Z,X,U) ),
    inference('REWRITE',[status(thm)],[42,8871]) ).

cnf(8884,plain,
    cyclic('SKOLEMAAAV27','SKOLEMAAAV27','SKOLEMAAAV21',X),
    inference('HYPERRESOLVE',[status(thm)],[8877,1736]) ).

cnf(8933,plain,
    cyclic('SKOLEMAAAV27','SKOLEMAAAV21',X,Y),
    inference('HYPERRESOLVE',[status(thm)],[16,8884,8884]) ).

cnf(8936,plain,
    cyclic('SKOLEMAAAV21',X,Y,Z),
    inference('HYPERRESOLVE',[status(thm)],[16,8933,8933]) ).

cnf(9135,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[16,8936,8936,791]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : GEO563+1 : TPTP v8.1.0. Released v7.5.0.
% 0.13/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Fri Jun 17 23:42:22 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.25/0.76  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/0.77  * 
% 0.33/0.77  * 
% 0.33/0.77  #<PACKAGE "SNARK-USER">
% 0.33/0.77  * 
% 0.33/0.77  SNARK-TPTP-OPTIONS
% 0.33/0.77  * 
% 0.33/0.77  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.33/0.77   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.33/0.77   (USE-FACTORING :POS)
% 0.33/0.77   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.33/0.77   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.33/0.77   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.33/0.77   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.33/0.77   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.33/0.77   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.33/0.77   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.33/0.77   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.33/0.77   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.33/0.77   (DECLARE-TPTP-SYMBOLS2))
% 0.33/0.77  * 
% 0.33/0.77  "."
% 0.33/0.77  * 
% 0.33/0.77  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T23:42:22
% 0.33/0.77  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-17T23:42:22
% 0.33/0.81  
% 0.33/0.82  WARNING: In quantification, variable ?M is being rebound.
% 0.33/0.82  ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 14.83/15.28  ; Declaring coll to be commutative.
% 14.83/15.28  
% 14.83/15.28  #||
% 14.83/15.28  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.83/15.28  % SZS output start Refutation
% See solution above
% 14.83/15.29  ||#
% 14.83/15.29  
% 14.83/15.29  ; Summary of computation:
% 14.83/15.29  ;     69373 formulas have been input or derived (from 812 formulas).
% 14.83/15.29  ;      9135 (13%) were retained.  Of these,
% 14.83/15.29  ;         8074 (88%) were simplified or subsumed later,
% 14.83/15.29  ;         1061 (12%) are still being kept.
% 14.83/15.29  ; 
% 14.83/15.29  ; Run time in seconds excluding printing time:
% 14.83/15.29  ;     0.032   0%   Read assertion file          (1 call)
% 14.83/15.29  ;     0.005   0%   Assert                       (95 calls)
% 14.83/15.29  ;     0.531   4%   Process new row              (68,323 calls)
% 14.83/15.29  ;    12.943  89%   Resolution                   (1,622 calls)
% 14.83/15.29  ;     0.004   0%   Paramodulation               (811 calls)
% 14.83/15.29  ;     0.001   0%   Condensing                   (130 calls)
% 14.83/15.29  ;     0.001   0%   Forward subsumption          (130 calls)
% 14.83/15.29  ;     0.001   0%   Backward subsumption         (129 calls)
% 14.83/15.29  ;     0.001   0%   Clause clause subsumption    (163 calls)
% 14.83/15.29  ;     0.196   1%   Forward simplification       (42,056 calls)
% 14.83/15.29  ;     0.592   4%   Backward simplification      (9,135 calls)
% 14.83/15.29  ;     0.000   0%   Ordering                     (24 calls)
% 14.83/15.29  ;     0.000   0%   Sortal reasoning             (32 calls)
% 14.83/15.29  ;     0.001   0%   Purity testing               (1 call)
% 14.83/15.29  ;     0.197   1%   Other
% 14.83/15.29  ;    14.505        Total
% 14.83/15.29  ;    14.520        Real time
% 14.83/15.29  ; 
% 14.83/15.29  ; Term-hash-array has 13,015 terms in all.
% 14.83/15.29  ; Feature-vector-row-index has 84 entries (121 at peak, 129 added, 45 deleted).
% 14.83/15.29  ; Feature-vector-row-index has 114 nodes (222 at peak, 230 added, 116 deleted).
% 14.83/15.29  ;  Retrieved 147 possibly forward subsuming rows in 130 calls.
% 14.83/15.29  ;  Retrieved 50 possibly backward subsumed rows in 129 calls.
% 14.83/15.29  ; Path-index has 1,303 entries (11,026 at peak, 13,035 added, 11,732 deleted).
% 14.83/15.29  ; Path-index has 1,872 nodes (1,931 at peak, 2,464 added, 592 deleted).
% 14.83/15.29  ; Trie-index has 1,303 entries (11,026 at peak, 13,035 added, 11,732 deleted).
% 14.83/15.29  ; Trie-index has 4,985 nodes (28,528 at peak, 34,096 added, 29,111 deleted).
% 14.83/15.29  ; Retrieved 51,874 generalization terms in 41,989 calls.
% 14.83/15.29  ; Retrieved 24,787 instance terms in 9,005 calls.
% 14.83/15.29  ; Retrieved 20,767,705 unifiable terms in 1,099,250 calls.
% 14.83/15.29  ; 
% 14.83/15.29  ; The agenda of rows to process has 71 entries:
% 14.83/15.29  ;    58 with value 15              6 with value 20               1 with value 22
% 14.83/15.29  ;     6 with value 19
% 14.83/15.29  ; The agenda of rows to give has 715 entries:
% 14.83/15.29  ;     2 with value (4 14)         79 with value (4 20)           9 with value (4 26)
% 14.83/15.29  ;   239 with value (4 15)         60 with value (4 21)           1 with value (4 28)
% 14.83/15.29  ;    38 with value (4 16)         24 with value (4 22)           2 with value (4 29)
% 14.83/15.29  ;    22 with value (4 17)         54 with value (4 23)           3 with value (4 30)
% 14.83/15.29  ;    51 with value (4 18)          8 with value (4 24)           3 with value (4 31)
% 14.83/15.29  ;   114 with value (4 19)          6 with value (4 25)
% 14.83/15.29  Evaluation took:
% 14.83/15.29    14.521 seconds of real time
% 14.83/15.29    14.195997 seconds of user run time
% 14.83/15.29    0.326159 seconds of system run time
% 14.83/15.29    [Run times include 0.705 seconds GC run time.]
% 14.83/15.29    0 calls to %EVAL
% 14.83/15.29    0 page faults and
% 14.83/15.29    1,035,667,640 bytes consed.
% 14.83/15.29  :PROOF-FOUND
% 14.83/15.29  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T23:42:37
% 14.83/15.29  :PROOF-FOUND
% 14.83/15.29  * 
%------------------------------------------------------------------------------