TSTP Solution File: GEO601+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO601+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n006.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 06:16:55 EDT 2022

% Result   : Theorem 1.09s 1.28s
% Output   : Refutation 1.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   32 (  17 unt;   0 nHn;  23 RR)
%            Number of literals    :   51 (   0 equ;  23 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   :   90 (   6 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(13,axiom,
    ( ~ cyclic(X,Y,Z,U)
    | cyclic(X,Y,U,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).

cnf(14,axiom,
    ( ~ cyclic(X,Y,Z,U)
    | cyclic(X,Z,Y,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).

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(113,negated_conjecture,
    circle('SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV23'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618063f) ).

cnf(116,negated_conjecture,
    ~ cyclic('SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV25'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618063f) ).

cnf(119,plain,
    ~ cyclic('SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV25','SKOLEMAAAV27'),
    inference('UR-RESOLVE',[status(thm)],[13,116]) ).

cnf(124,plain,
    perp('SKOLEMAAAV12'('SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV23'),'SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV25'),
    inference('HYPERRESOLVE',[status(thm)],[98,113]) ).

cnf(133,plain,
    ~ cyclic('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV27'),
    inference('UR-RESOLVE',[status(thm)],[14,119]) ).

cnf(144,plain,
    ~ cyclic('SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV27'),
    inference('UR-RESOLVE',[status(thm)],[15,133]) ).

cnf(160,plain,
    perp('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV12'('SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV23'),'SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[7,124]) ).

cnf(166,plain,
    para('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV25'),
    inference('HYPERRESOLVE',[status(thm)],[8,160,124]) ).

cnf(171,plain,
    eqangle('SKOLEMAAAV21','SKOLEMAAAV25',X,Y,'SKOLEMAAAV21','SKOLEMAAAV25',X,Y),
    inference('HYPERRESOLVE',[status(thm)],[39,166]) ).

cnf(543,plain,
    eqangle('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV25',X,Y,X,Y),
    inference('HYPERRESOLVE',[status(thm)],[20,171]) ).

cnf(544,plain,
    eqangle(X,Y,'SKOLEMAAAV21','SKOLEMAAAV25',X,Y,'SKOLEMAAAV21','SKOLEMAAAV25'),
    inference('HYPERRESOLVE',[status(thm)],[18,171]) ).

cnf(938,plain,
    para(X,Y,X,Y),
    inference('HYPERRESOLVE',[status(thm)],[38,544]) ).

cnf(944,plain,
    coll(X,Y,Y),
    inference('HYPERRESOLVE',[status(thm)],[66,938]) ).

cnf(948,plain,
    coll(X,X,Y),
    inference('HYPERRESOLVE',[status(thm)],[2,944,944]) ).

cnf(1164,plain,
    coll(X,Y,Z),
    inference('HYPERRESOLVE',[status(thm)],[2,948,948]) ).

cnf(1170,plain,
    ( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
    | cyclic(Y,Z,X,U) ),
    inference('REWRITE',[status(thm)],[42,1164]) ).

cnf(1177,plain,
    cyclic('SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV21',X),
    inference('HYPERRESOLVE',[status(thm)],[1170,543]) ).

cnf(1238,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[16,1177,1177,144]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO601+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jun 17 15:57:26 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T15:57:26
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-17T15:57:26
% 0.21/0.52  
% 0.21/0.52  WARNING: In quantification, variable ?M is being rebound.
% 0.21/0.52  ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 1.09/1.28  ; Declaring coll to be commutative.
% 1.09/1.28  
% 1.09/1.28  #||
% 1.09/1.28  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.09/1.28  % SZS output start Refutation
% See solution above
% 1.09/1.29  ||#
% 1.09/1.29  
% 1.09/1.29  ; Summary of computation:
% 1.09/1.29  ;      8836 formulas have been input or derived (from 316 formulas).
% 1.09/1.29  ;      1238 (14%) were retained.  Of these,
% 1.09/1.29  ;          822 (66%) were simplified or subsumed later,
% 1.09/1.29  ;          416 (34%) are still being kept.
% 1.09/1.29  ; 
% 1.09/1.29  ; Run time in seconds excluding printing time:
% 1.09/1.29  ;     0.030   4%   Read assertion file          (1 call)
% 1.09/1.29  ;     0.005   1%   Assert                       (95 calls)
% 1.09/1.29  ;     0.076   9%   Process new row              (8,291 calls)
% 1.09/1.29  ;     0.588  73%   Resolution                   (630 calls)
% 1.09/1.29  ;     0.000   0%   Paramodulation               (315 calls)
% 1.09/1.29  ;     0.004   0%   Condensing                   (130 calls)
% 1.09/1.29  ;     0.001   0%   Forward subsumption          (130 calls)
% 1.09/1.29  ;     0.001   0%   Backward subsumption         (129 calls)
% 1.09/1.29  ;     0.002   0%   Clause clause subsumption    (163 calls)
% 1.09/1.29  ;     0.020   2%   Forward simplification       (5,339 calls)
% 1.09/1.29  ;     0.035   4%   Backward simplification      (1,238 calls)
% 1.09/1.29  ;     0.000   0%   Ordering                     (24 calls)
% 1.09/1.29  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.09/1.29  ;     0.000   0%   Purity testing               (1 call)
% 1.09/1.29  ;     0.045   6%   Other
% 1.09/1.29  ;     0.807        Total
% 1.09/1.29  ;     0.810        Real time
% 1.09/1.29  ; 
% 1.09/1.29  ; Term-hash-array has 1,661 terms in all.
% 1.09/1.29  ; Feature-vector-row-index has 84 entries (121 at peak, 129 added, 45 deleted).
% 1.09/1.29  ; Feature-vector-row-index has 114 nodes (222 at peak, 230 added, 116 deleted).
% 1.09/1.29  ;  Retrieved 147 possibly forward subsuming rows in 130 calls.
% 1.09/1.29  ;  Retrieved 50 possibly backward subsumed rows in 129 calls.
% 1.09/1.29  ; Path-index has 519 entries (1,259 at peak, 1,677 added, 1,158 deleted).
% 1.09/1.29  ; Path-index has 1,288 nodes (1,715 at peak, 1,846 added, 558 deleted).
% 1.09/1.29  ; Trie-index has 519 entries (1,259 at peak, 1,677 added, 1,158 deleted).
% 1.09/1.29  ; Trie-index has 1,970 nodes (4,419 at peak, 5,809 added, 3,839 deleted).
% 1.09/1.29  ; Retrieved 5,167 generalization terms in 5,263 calls.
% 1.09/1.29  ; Retrieved 3,332 instance terms in 1,108 calls.
% 1.09/1.29  ; Retrieved 892,881 unifiable terms in 51,371 calls.
% 1.09/1.29  ; 
% 1.09/1.29  ; The agenda of rows to process has 33 entries:
% 1.09/1.29  ;    19 with value 13             13 with value 14               1 with value 17
% 1.09/1.29  ; The agenda of rows to give has 223 entries:
% 1.09/1.29  ;     5 with value (4 12)         12 with value (4 18)          24 with value (4 23)
% 1.09/1.29  ;     4 with value (4 13)         24 with value (4 19)           6 with value (4 24)
% 1.09/1.29  ;    30 with value (4 14)         11 with value (4 20)           3 with value (4 25)
% 1.09/1.29  ;    53 with value (4 15)          6 with value (4 21)           1 with value (4 28)
% 1.09/1.29  ;    21 with value (4 16)         12 with value (4 22)           1 with value (4 29)
% 1.09/1.29  ;    10 with value (4 17)
% 1.09/1.29  Evaluation took:
% 1.09/1.29    0.81 seconds of real time
% 1.09/1.29    0.778392 seconds of user run time
% 1.09/1.29    0.032123 seconds of system run time
% 1.09/1.29    [Run times include 0.027 seconds GC run time.]
% 1.09/1.29    0 calls to %EVAL
% 1.09/1.29    0 page faults and
% 1.09/1.29    57,366,120 bytes consed.
% 1.09/1.29  :PROOF-FOUND
% 1.09/1.29  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T15:57:26
% 1.09/1.29  :PROOF-FOUND
% 1.09/1.29  * 
%------------------------------------------------------------------------------