TSTP Solution File: GEO557+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO557+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 06:16:42 EDT 2022

% Result   : Theorem 11.14s 11.34s
% Output   : Refutation 11.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   29 (  16 unt;   0 nHn;  19 RR)
%            Number of literals    :   46 (   0 equ;  19 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    :    7 (   7 usr;   6 con; 0-4 aty)
%            Number of variables   :   84 (   8 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(15,axiom,
    ( ~ cyclic(X,Y,Z,U)
    | cyclic(Y,X,Z,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).

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(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(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(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(119,negated_conjecture,
    circle('SKOLEMAAAV28','SKOLEMAAAV23','SKOLEMAAAV29','SKOLEMAAAV32'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012017) ).

cnf(120,negated_conjecture,
    ~ cyclic('SKOLEMAAAV29','SKOLEMAAAV23','SKOLEMAAAV24','SKOLEMAAAV22'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012017) ).

cnf(127,plain,
    ~ cyclic('SKOLEMAAAV23','SKOLEMAAAV29','SKOLEMAAAV24','SKOLEMAAAV22'),
    inference('UR-RESOLVE',[status(thm)],[15,120]) ).

cnf(132,plain,
    perp('SKOLEMAAAV12'('SKOLEMAAAV28','SKOLEMAAAV23','SKOLEMAAAV29','SKOLEMAAAV32'),'SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV28'),
    inference('HYPERRESOLVE',[status(thm)],[98,119]) ).

cnf(223,plain,
    perp('SKOLEMAAAV23','SKOLEMAAAV28','SKOLEMAAAV12'('SKOLEMAAAV28','SKOLEMAAAV23','SKOLEMAAAV29','SKOLEMAAAV32'),'SKOLEMAAAV23'),
    inference('HYPERRESOLVE',[status(thm)],[7,132]) ).

cnf(235,plain,
    para('SKOLEMAAAV23','SKOLEMAAAV28','SKOLEMAAAV23','SKOLEMAAAV28'),
    inference('HYPERRESOLVE',[status(thm)],[8,223,132]) ).

cnf(241,plain,
    eqangle('SKOLEMAAAV23','SKOLEMAAAV28',X,Y,'SKOLEMAAAV23','SKOLEMAAAV28',X,Y),
    inference('HYPERRESOLVE',[status(thm)],[39,235]) ).

cnf(1384,plain,
    eqangle('SKOLEMAAAV23','SKOLEMAAAV28','SKOLEMAAAV23','SKOLEMAAAV28',X,Y,X,Y),
    inference('HYPERRESOLVE',[status(thm)],[20,241]) ).

cnf(1385,plain,
    eqangle(X,Y,'SKOLEMAAAV23','SKOLEMAAAV28',X,Y,'SKOLEMAAAV23','SKOLEMAAAV28'),
    inference('HYPERRESOLVE',[status(thm)],[18,241]) ).

cnf(3311,plain,
    para(X,Y,X,Y),
    inference('HYPERRESOLVE',[status(thm)],[38,1385]) ).

cnf(3317,plain,
    coll(X,Y,Y),
    inference('HYPERRESOLVE',[status(thm)],[66,3311]) ).

cnf(3321,plain,
    coll(X,X,Y),
    inference('HYPERRESOLVE',[status(thm)],[2,3317,3317]) ).

cnf(7042,plain,
    coll(X,Y,Z),
    inference('HYPERRESOLVE',[status(thm)],[2,3321,3321]) ).

cnf(7048,plain,
    ( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
    | cyclic(Y,Z,X,U) ),
    inference('REWRITE',[status(thm)],[42,7042]) ).

cnf(7055,plain,
    cyclic('SKOLEMAAAV28','SKOLEMAAAV28','SKOLEMAAAV23',X),
    inference('HYPERRESOLVE',[status(thm)],[7048,1384]) ).

cnf(7115,plain,
    cyclic('SKOLEMAAAV28','SKOLEMAAAV23',X,Y),
    inference('HYPERRESOLVE',[status(thm)],[16,7055,7055]) ).

cnf(7126,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[16,7115,7115,127]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO557+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n004.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 11:02:23 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 2022-06-18T11:02:24
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-18T11:02:24
% 0.20/0.51  
% 0.20/0.51  WARNING: In quantification, variable ?M is being rebound.
% 0.20/0.52  ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 11.14/11.34  ; Declaring coll to be commutative.
% 11.14/11.34  
% 11.14/11.34  #||
% 11.14/11.34  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.14/11.34  % SZS output start Refutation
% See solution above
% 11.14/11.34  ||#
% 11.14/11.34  
% 11.14/11.34  ; Summary of computation:
% 11.14/11.34  ;     54833 formulas have been input or derived (from 631 formulas).
% 11.14/11.34  ;      7126 (13%) were retained.  Of these,
% 11.14/11.34  ;         6420 (90%) were simplified or subsumed later,
% 11.14/11.34  ;          706 (10%) are still being kept.
% 11.14/11.34  ; 
% 11.14/11.34  ; Run time in seconds excluding printing time:
% 11.14/11.34  ;     0.032   0%   Read assertion file          (1 call)
% 11.14/11.34  ;     0.005   0%   Assert                       (95 calls)
% 11.14/11.34  ;     0.397   4%   Process new row              (54,090 calls)
% 11.14/11.34  ;     9.685  89%   Resolution                   (1,260 calls)
% 11.14/11.34  ;     0.003   0%   Paramodulation               (630 calls)
% 11.14/11.34  ;     0.004   0%   Condensing                   (130 calls)
% 11.14/11.34  ;     0.003   0%   Forward subsumption          (130 calls)
% 11.14/11.34  ;     0.002   0%   Backward subsumption         (129 calls)
% 11.14/11.34  ;     0.001   0%   Clause clause subsumption    (163 calls)
% 11.14/11.34  ;     0.148   1%   Forward simplification       (32,832 calls)
% 11.14/11.34  ;     0.431   4%   Backward simplification      (7,126 calls)
% 11.14/11.34  ;     0.001   0%   Ordering                     (24 calls)
% 11.14/11.34  ;     0.000   0%   Sortal reasoning             (32 calls)
% 11.14/11.34  ;     0.000   0%   Purity testing               (1 call)
% 11.14/11.34  ;     0.162   1%   Other
% 11.14/11.34  ;    10.874        Total
% 11.14/11.34  ;    10.875        Real time
% 11.14/11.34  ; 
% 11.14/11.34  ; Term-hash-array has 10,217 terms in all.
% 11.14/11.34  ; Feature-vector-row-index has 84 entries (121 at peak, 129 added, 45 deleted).
% 11.14/11.34  ; Feature-vector-row-index has 114 nodes (222 at peak, 230 added, 116 deleted).
% 11.14/11.34  ;  Retrieved 147 possibly forward subsuming rows in 130 calls.
% 11.14/11.34  ;  Retrieved 50 possibly backward subsumed rows in 129 calls.
% 11.14/11.34  ; Path-index has 833 entries (8,687 at peak, 10,238 added, 9,405 deleted).
% 11.14/11.34  ; Path-index has 1,451 nodes (1,911 at peak, 2,025 added, 574 deleted).
% 11.14/11.34  ; Trie-index has 833 entries (8,687 at peak, 10,238 added, 9,405 deleted).
% 11.14/11.34  ; Trie-index has 3,026 nodes (23,517 at peak, 27,512 added, 24,486 deleted).
% 11.14/11.34  ; Retrieved 40,038 generalization terms in 32,756 calls.
% 11.14/11.34  ; Retrieved 19,656 instance terms in 6,996 calls.
% 11.14/11.34  ; Retrieved 15,025,797 unifiable terms in 785,887 calls.
% 11.14/11.34  ; 
% 11.14/11.34  ; The agenda of rows to process has 28 entries:
% 11.14/11.34  ;    22 with value 14              6 with value 18
% 11.14/11.34  ; The agenda of rows to give has 418 entries:
% 11.14/11.34  ;     3 with value (4 13)         35 with value (4 18)          27 with value (4 23)
% 11.14/11.34  ;    31 with value (4 14)         66 with value (4 19)          12 with value (4 24)
% 11.14/11.34  ;   141 with value (4 15)         19 with value (4 20)           6 with value (4 25)
% 11.14/11.34  ;    34 with value (4 16)          6 with value (4 21)           2 with value (4 28)
% 11.14/11.34  ;    20 with value (4 17)         14 with value (4 22)           2 with value (4 29)
% 11.14/11.34  Evaluation took:
% 11.14/11.34    10.877 seconds of real time
% 11.14/11.34    10.642896 seconds of user run time
% 11.14/11.34    0.233786 seconds of system run time
% 11.14/11.34    [Run times include 0.519 seconds GC run time.]
% 11.14/11.34    0 calls to %EVAL
% 11.14/11.34    0 page faults and
% 11.14/11.34    764,077,688 bytes consed.
% 11.14/11.34  :PROOF-FOUND
% 11.14/11.34  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T11:02:34
% 11.14/11.34  :PROOF-FOUND
% 11.14/11.34  * 
%------------------------------------------------------------------------------