TSTP Solution File: GEO577+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO577+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 06:16:48 EDT 2022

% Result   : Theorem 10.72s 10.89s
% Output   : Refutation 10.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   42 (  23 unt;   0 nHn;  26 RR)
%            Number of literals    :   72 (   0 equ;  34 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-8 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :  133 (  17 sgn)

% Comments : 
%------------------------------------------------------------------------------
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(3,axiom,
    ( ~ para(X,Y,Z,U)
    | para(X,Y,U,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

cnf(4,axiom,
    ( ~ para(X,Y,Z,U)
    | para(Z,U,X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

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(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(18,axiom,
    ( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
    | eqangle(Z,U,X,Y,X1,Y1,V,W) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

cnf(43,axiom,
    ( ~ cyclic(X,Y,Z,U)
    | ~ cyclic(X,Y,Z,V)
    | ~ cyclic(X,Y,Z,W)
    | ~ eqangle(Z,X,Z,Y,W,U,W,V)
    | cong(X,Y,U,V) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

cnf(57,axiom,
    ( ~ cong(X,Y,Z,Y)
    | ~ cong(X,U,Z,U)
    | ~ cyclic(X,Z,Y,U)
    | perp(Y,X,X,U) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD57) ).

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

cnf(73,axiom,
    ( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
    | ~ perp(V,W,X1,Y1)
    | perp(X,Y,Z,U) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).

cnf(118,negated_conjecture,
    perp('SKOLEMAAAV22','SKOLEMAAAV24','SKOLEMAAAV22','SKOLEMAAAV27'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214039) ).

cnf(120,negated_conjecture,
    ~ para('SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV21','SKOLEMAAAV24'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214039) ).

cnf(124,plain,
    ~ para('SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV26','SKOLEMAAAV27'),
    inference('UR-RESOLVE',[status(thm)],[4,120]) ).

cnf(126,plain,
    perp('SKOLEMAAAV22','SKOLEMAAAV27','SKOLEMAAAV22','SKOLEMAAAV24'),
    inference('HYPERRESOLVE',[status(thm)],[7,118]) ).

cnf(157,plain,
    ~ para('SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV27','SKOLEMAAAV26'),
    inference('UR-RESOLVE',[status(thm)],[3,124]) ).

cnf(160,plain,
    para('SKOLEMAAAV22','SKOLEMAAAV27','SKOLEMAAAV22','SKOLEMAAAV27'),
    inference('HYPERRESOLVE',[status(thm)],[8,126,118]) ).

cnf(193,plain,
    eqangle('SKOLEMAAAV22','SKOLEMAAAV27',X,Y,'SKOLEMAAAV22','SKOLEMAAAV27',X,Y),
    inference('HYPERRESOLVE',[status(thm)],[39,160]) ).

cnf(4388,plain,
    eqangle('SKOLEMAAAV22','SKOLEMAAAV27','SKOLEMAAAV22','SKOLEMAAAV27',X,Y,X,Y),
    inference('HYPERRESOLVE',[status(thm)],[20,193]) ).

cnf(4389,plain,
    eqangle(X,Y,'SKOLEMAAAV22','SKOLEMAAAV27',X,Y,'SKOLEMAAAV22','SKOLEMAAAV27'),
    inference('HYPERRESOLVE',[status(thm)],[18,193]) ).

cnf(7933,plain,
    para(X,Y,X,Y),
    inference('HYPERRESOLVE',[status(thm)],[38,4389]) ).

cnf(7939,plain,
    coll(X,Y,Y),
    inference('HYPERRESOLVE',[status(thm)],[66,7933]) ).

cnf(7942,plain,
    coll(X,X,Y),
    inference('HYPERRESOLVE',[status(thm)],[2,7939,7939]) ).

cnf(8967,plain,
    coll(X,Y,Z),
    inference('HYPERRESOLVE',[status(thm)],[2,7942,7942]) ).

cnf(8973,plain,
    ( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
    | cyclic(Y,Z,X,U) ),
    inference('REWRITE',[status(thm)],[42,8967]) ).

cnf(9005,plain,
    cyclic('SKOLEMAAAV27','SKOLEMAAAV27','SKOLEMAAAV22',X),
    inference('HYPERRESOLVE',[status(thm)],[8973,4388]) ).

cnf(9036,plain,
    cyclic('SKOLEMAAAV27','SKOLEMAAAV22',X,Y),
    inference('HYPERRESOLVE',[status(thm)],[16,9005,9005]) ).

cnf(9045,plain,
    cyclic('SKOLEMAAAV22',X,Y,Z),
    inference('HYPERRESOLVE',[status(thm)],[16,9036,9036]) ).

cnf(9089,plain,
    cyclic(X,Y,Z,U),
    inference('HYPERRESOLVE',[status(thm)],[16,9045,9045]) ).

cnf(9090,plain,
    ( ~ cong(X,Y,Z,Y)
    | ~ cong(X,U,Z,U)
    | perp(Y,X,X,U) ),
    inference('REWRITE',[status(thm)],[57,9089]) ).

cnf(9092,plain,
    eqangle(X,Y,X,Z,U,Y,U,Z),
    inference('REWRITE',[status(thm)],[40,9089]) ).

cnf(9093,plain,
    ( ~ eqangle(X,Y,X,Z,U,V,U,W)
    | cong(Y,Z,V,W) ),
    inference('REWRITE',[status(thm)],[43,9089]) ).

cnf(9098,plain,
    perp(X,'SKOLEMAAAV24',X,'SKOLEMAAAV27'),
    inference('HYPERRESOLVE',[status(thm)],[73,9092,118]) ).

cnf(9257,plain,
    cong(X,Y,X,Y),
    inference('HYPERRESOLVE',[status(thm)],[9093,9092]) ).

cnf(9301,plain,
    ~ perp('SKOLEMAAAV21','SKOLEMAAAV27','SKOLEMAAAV27','SKOLEMAAAV26'),
    inference('UR-RESOLVE',[status(thm)],[8,9098,157]) ).

cnf(9324,plain,
    perp(X,Y,Y,Z),
    inference('HYPERRESOLVE',[status(thm)],[9090,9257,9257]) ).

cnf(9325,plain,
    $false,
    inference('REWRITE',[status(thm)],[9301,9324]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO577+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n017.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 18:01:12 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T18:01:13
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-18T18:01:13
% 0.19/0.51  
% 0.19/0.51  WARNING: In quantification, variable ?M is being rebound.
% 0.19/0.51  ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 10.72/10.89  ; Declaring coll to be commutative.
% 10.72/10.89  
% 10.72/10.89  #||
% 10.72/10.89  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.72/10.89  % SZS output start Refutation
% See solution above
% 10.72/10.92  ||#
% 10.72/10.92  
% 10.72/10.92  ; Summary of computation:
% 10.72/10.92  ;     52664 formulas have been input or derived (from 717 formulas).
% 10.72/10.92  ;      9325 (18%) were retained.  Of these,
% 10.72/10.92  ;         8250 (88%) were simplified or subsumed later,
% 10.72/10.92  ;         1075 (12%) are still being kept.
% 10.72/10.92  ; 
% 10.72/10.92  ; Run time in seconds excluding printing time:
% 10.72/10.92  ;     0.031   0%   Read assertion file          (1 call)
% 10.72/10.92  ;     0.005   0%   Assert                       (95 calls)
% 10.72/10.92  ;     0.474   5%   Process new row              (51,504 calls)
% 10.72/10.92  ;     8.854  85%   Resolution                   (1,432 calls)
% 10.72/10.92  ;     0.007   0%   Paramodulation               (716 calls)
% 10.72/10.92  ;     0.000   0%   Condensing                   (152 calls)
% 10.72/10.92  ;     0.004   0%   Forward subsumption          (152 calls)
% 10.72/10.92  ;     0.001   0%   Backward subsumption         (150 calls)
% 10.72/10.92  ;     0.002   0%   Clause clause subsumption    (174 calls)
% 10.72/10.92  ;     0.196   2%   Forward simplification       (36,548 calls)
% 10.72/10.92  ;     0.683   7%   Backward simplification      (9,325 calls)
% 10.72/10.92  ;     0.000   0%   Ordering                     (56 calls)
% 10.72/10.92  ;     0.000   0%   Sortal reasoning             (32 calls)
% 10.72/10.92  ;     0.001   0%   Purity testing               (1 call)
% 10.72/10.92  ;     0.169   2%   Other
% 10.72/10.92  ;    10.427        Total
% 10.72/10.92  ;    10.451        Real time
% 10.72/10.92  ; 
% 10.72/10.92  ; Term-hash-array has 12,863 terms in all.
% 10.72/10.92  ; Feature-vector-row-index has 65 entries (137 at peak, 150 added, 85 deleted).
% 10.72/10.92  ; Feature-vector-row-index has 88 nodes (336 at peak, 350 added, 262 deleted).
% 10.72/10.92  ;  Retrieved 153 possibly forward subsuming rows in 152 calls.
% 10.72/10.92  ;  Retrieved 55 possibly backward subsumed rows in 150 calls.
% 10.72/10.92  ; Path-index has 1,191 entries (10,784 at peak, 12,889 added, 11,698 deleted).
% 10.72/10.92  ; Path-index has 1,989 nodes (2,750 at peak, 3,133 added, 1,144 deleted).
% 10.72/10.92  ; Trie-index has 1,191 entries (10,784 at peak, 12,889 added, 11,698 deleted).
% 10.72/10.92  ; Trie-index has 4,603 nodes (29,818 at peak, 37,850 added, 33,247 deleted).
% 10.72/10.92  ; Retrieved 34,021 generalization terms in 36,505 calls.
% 10.72/10.92  ; Retrieved 41,968 instance terms in 9,174 calls.
% 10.72/10.92  ; Retrieved 14,917,085 unifiable terms in 393,890 calls.
% 10.72/10.92  ; 
% 10.72/10.92  ; The agenda of backward simplifiable rows to process has 8 entries:
% 10.72/10.92  ;     8 with value 0
% 10.72/10.92  ; The agenda of rows to process has 107 entries:
% 10.72/10.92  ;    12 with value 8              12 with value 19               4 with value 25
% 10.72/10.92  ;     1 with value 12             20 with value 20               4 with value 28
% 10.72/10.92  ;    30 with value 14              8 with value 21               4 with value 29
% 10.72/10.92  ;     6 with value 15              6 with value 23
% 10.72/10.92  ; The agenda of rows to give has 897 entries:
% 10.72/10.92  ;     3 with value (4 7)          31 with value (4 13)          41 with value (4 19)
% 10.72/10.92  ;    14 with value (4 8)         260 with value (4 14)          11 with value (4 20)
% 10.72/10.92  ;     5 with value (4 9)         362 with value (4 15)           2 with value (4 21)
% 10.72/10.92  ;     7 with value (4 10)        104 with value (4 16)           3 with value (4 22)
% 10.72/10.92  ;     6 with value (4 11)         15 with value (4 17)           7 with value (4 23)
% 10.72/10.92  ;     8 with value (4 12)         16 with value (4 18)           2 with value (4 24)
% 10.72/10.92  Evaluation took:
% 10.72/10.92    10.451 seconds of real time
% 10.72/10.92    10.136934 seconds of user run time
% 10.72/10.92    0.314073 seconds of system run time
% 10.72/10.92    [Run times include 0.688 seconds GC run time.]
% 10.72/10.92    0 calls to %EVAL
% 10.72/10.92    0 page faults and
% 10.72/10.92    555,805,416 bytes consed.
% 10.72/10.92  :PROOF-FOUND
% 10.72/10.92  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T18:01:23
% 10.72/10.92  :PROOF-FOUND
% 10.72/10.92  * 
%------------------------------------------------------------------------------