TSTP Solution File: GEO612+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO612+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n012.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 06:16:58 EDT 2022

% Result   : Theorem 6.03s 6.28s
% Output   : Refutation 6.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   40 (  31 unt;   0 nHn;  38 RR)
%            Number of literals    :   53 (   0 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-8 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   42 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ coll(X,Y,Z)
    | coll(X,Z,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

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

cnf(7,axiom,
    ( ~ perp(X,Y,Z,U)
    | perp(Z,U,X,Y) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

cnf(13,axiom,
    ( ~ cyclic(X,Y,Z,U)
    | cyclic(X,Y,U,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).

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

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

cnf(39,axiom,
    ( ~ para(X,Y,Z,U)
    | eqangle(X,Y,V,W,Z,U,V,W) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

cnf(114,negated_conjecture,
    coll('SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV22'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618074) ).

cnf(117,negated_conjecture,
    perp('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV23'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618074) ).

cnf(118,negated_conjecture,
    coll('SKOLEMAAAV27','SKOLEMAAAV21','SKOLEMAAAV23'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618074) ).

cnf(120,negated_conjecture,
    coll('SKOLEMAAAV28','SKOLEMAAAV22','SKOLEMAAAV23'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618074) ).

cnf(121,negated_conjecture,
    ~ cyclic('SKOLEMAAAV21','SKOLEMAAAV27','SKOLEMAAAV28','SKOLEMAAAV22'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618074) ).

cnf(124,plain,
    coll('SKOLEMAAAV27','SKOLEMAAAV23','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[1,118]) ).

cnf(128,plain,
    coll('SKOLEMAAAV25','SKOLEMAAAV22','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[1,114]) ).

cnf(133,plain,
    perp('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV27','SKOLEMAAAV26'),
    inference('HYPERRESOLVE',[status(thm)],[7,117]) ).

cnf(136,plain,
    ~ cyclic('SKOLEMAAAV21','SKOLEMAAAV27','SKOLEMAAAV22','SKOLEMAAAV28'),
    inference('UR-RESOLVE',[status(thm)],[13,121]) ).

cnf(142,plain,
    coll('SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[2,118,118]) ).

cnf(143,plain,
    coll('SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV28'),
    inference('HYPERRESOLVE',[status(thm)],[2,120,120]) ).

cnf(153,plain,
    coll('SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV27'),
    inference('HYPERRESOLVE',[status(thm)],[2,124,124]) ).

cnf(162,plain,
    coll('SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV22'),
    inference('HYPERRESOLVE',[status(thm)],[2,128,128]) ).

cnf(170,plain,
    coll('SKOLEMAAAV28','SKOLEMAAAV21','SKOLEMAAAV23'),
    inference('HYPERRESOLVE',[status(thm)],[2,143,142]) ).

cnf(180,plain,
    para('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23'),
    inference('HYPERRESOLVE',[status(thm)],[8,133,117]) ).

cnf(192,plain,
    ~ cyclic('SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV27','SKOLEMAAAV28'),
    inference('UR-RESOLVE',[status(thm)],[14,136]) ).

cnf(237,plain,
    coll('SKOLEMAAAV28','SKOLEMAAAV23','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[1,170]) ).

cnf(251,plain,
    eqangle('SKOLEMAAAV21','SKOLEMAAAV23',X,Y,'SKOLEMAAAV21','SKOLEMAAAV23',X,Y),
    inference('HYPERRESOLVE',[status(thm)],[39,180]) ).

cnf(724,plain,
    coll('SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV28'),
    inference('HYPERRESOLVE',[status(thm)],[2,237,237]) ).

cnf(2956,plain,
    cyclic('SKOLEMAAAV23','SKOLEMAAAV27','SKOLEMAAAV21','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[42,251,153]) ).

cnf(2959,plain,
    cyclic('SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV21','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[42,251,162]) ).

cnf(2961,plain,
    cyclic('SKOLEMAAAV23','SKOLEMAAAV28','SKOLEMAAAV21','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[42,251,724]) ).

cnf(2969,plain,
    cyclic('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV27','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[14,2956]) ).

cnf(2976,plain,
    cyclic('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[14,2959]) ).

cnf(2981,plain,
    cyclic('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV28','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[14,2961]) ).

cnf(2986,plain,
    cyclic('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV27'),
    inference('HYPERRESOLVE',[status(thm)],[13,2969]) ).

cnf(3000,plain,
    cyclic('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV22'),
    inference('HYPERRESOLVE',[status(thm)],[13,2976]) ).

cnf(3011,plain,
    cyclic('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV28'),
    inference('HYPERRESOLVE',[status(thm)],[13,2981]) ).

cnf(3054,plain,
    cyclic('SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV27'),
    inference('HYPERRESOLVE',[status(thm)],[16,3000,2986]) ).

cnf(4023,plain,
    cyclic('SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV28'),
    inference('HYPERRESOLVE',[status(thm)],[16,3011,3000]) ).

cnf(4103,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[16,3054,192]),4023]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO612+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n012.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 18:40:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T18:40:38
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-17T18:40:38
% 0.19/0.52  
% 0.19/0.52  WARNING: In quantification, variable ?M is being rebound.
% 0.19/0.52  ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 6.03/6.28  ; Declaring coll to be commutative.
% 6.03/6.28  
% 6.03/6.28  #||
% 6.03/6.28  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.03/6.28  % SZS output start Refutation
% See solution above
% 6.03/6.29  ||#
% 6.03/6.29  
% 6.03/6.29  ; Summary of computation:
% 6.03/6.29  ;     16997 formulas have been input or derived (from 657 formulas).
% 6.03/6.29  ;      4103 (24%) were retained.  Of these,
% 6.03/6.29  ;            1 ( 0%) were simplified or subsumed later,
% 6.03/6.29  ;         4102 (100%) are still being kept.
% 6.03/6.29  ; 
% 6.03/6.29  ; Run time in seconds excluding printing time:
% 6.03/6.29  ;     0.031   1%   Read assertion file          (1 call)
% 6.03/6.29  ;     0.005   0%   Assert                       (95 calls)
% 6.03/6.29  ;     0.196   3%   Process new row              (16,278 calls)
% 6.03/6.29  ;     5.388  93%   Resolution                   (1,312 calls)
% 6.03/6.29  ;     0.003   0%   Paramodulation               (656 calls)
% 6.03/6.29  ;     0.004   0%   Condensing                   (124 calls)
% 6.03/6.29  ;     0.005   0%   Forward subsumption          (124 calls)
% 6.03/6.29  ;     0.001   0%   Backward subsumption         (123 calls)
% 6.03/6.29  ;     0.001   0%   Clause clause subsumption    (151 calls)
% 6.03/6.29  ;     0.067   1%   Forward simplification       (16,278 calls)
% 6.03/6.29  ;     0.033   1%   Backward simplification      (4,103 calls)
% 6.03/6.29  ;     0.000   0%   Ordering                     (28 calls)
% 6.03/6.29  ;     0.000   0%   Sortal reasoning             (32 calls)
% 6.03/6.29  ;     0.000   0%   Purity testing               (1 call)
% 6.03/6.29  ;     0.063   1%   Other
% 6.03/6.29  ;     5.797        Total
% 6.03/6.29  ;     5.807        Real time
% 6.03/6.29  ; 
% 6.03/6.29  ; Term-hash-array has 5,565 terms in all.
% 6.03/6.29  ; Feature-vector-row-index has 123 entries (123 at peak, 123 added, 0 deleted).
% 6.03/6.29  ; Feature-vector-row-index has 242 nodes (242 at peak, 242 added, 0 deleted).
% 6.03/6.29  ;  Retrieved 140 possibly forward subsuming rows in 124 calls.
% 6.03/6.29  ;  Retrieved 45 possibly backward subsumed rows in 123 calls.
% 6.03/6.29  ; Path-index has 5,573 entries (5,573 at peak, 5,574 added, 1 deleted).
% 6.03/6.29  ; Path-index has 1,327 nodes (1,327 at peak, 1,327 added, 0 deleted).
% 6.03/6.29  ; Trie-index has 5,573 entries (5,573 at peak, 5,574 added, 1 deleted).
% 6.03/6.29  ; Trie-index has 13,753 nodes (13,753 at peak, 13,757 added, 4 deleted).
% 6.03/6.29  ; Retrieved 12,174 generalization terms in 16,180 calls.
% 6.03/6.29  ; Retrieved 4,123 instance terms in 3,979 calls.
% 6.03/6.29  ; Retrieved 7,797,791 unifiable terms in 408,949 calls.
% 6.03/6.29  ; 
% 6.03/6.29  ; The agenda of rows to process has 9 entries:
% 6.03/6.29  ;     8 with value 14              1 with value 18
% 6.03/6.29  ; The agenda of rows to give has 3445 entries:
% 6.03/6.29  ;   170 with value (4 13)        974 with value (4 18)          26 with value (4 24)
% 6.03/6.29  ;   185 with value (4 14)         20 with value (4 19)           4 with value (4 26)
% 6.03/6.29  ;   143 with value (4 15)        296 with value (4 20)           6 with value (4 27)
% 6.03/6.29  ;   856 with value (4 16)         10 with value (4 21)          26 with value (4 29)
% 6.03/6.29  ;   717 with value (4 17)          6 with value (4 22)           6 with value (4 30)
% 6.03/6.29  Evaluation took:
% 6.03/6.29    5.808 seconds of real time
% 6.03/6.29    5.684781 seconds of user run time
% 6.03/6.29    0.122147 seconds of system run time
% 6.03/6.29    [Run times include 0.2 seconds GC run time.]
% 6.03/6.29    0 calls to %EVAL
% 6.03/6.29    0 page faults and
% 6.03/6.29    380,293,456 bytes consed.
% 6.03/6.29  :PROOF-FOUND
% 6.03/6.29  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T18:40:44
% 6.03/6.29  :PROOF-FOUND
% 6.03/6.29  * 
%------------------------------------------------------------------------------