TSTP Solution File: SEU247+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SEU247+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n015.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 : Tue Jul 19 13:36:48 EDT 2022

% Result   : Theorem 53.32s 53.57s
% Output   : Refutation 53.32s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(t18_wellord1,conjecture,
    ! [A,B] :
      ( relation(B)
     => relation_restriction(B,A) = relation_rng_restriction(A,relation_dom_restriction(B,A)) ),
    input ).

fof(c6,negated_conjecture,
    ~ ! [A,B] :
        ( relation(B)
       => relation_restriction(B,A) = relation_rng_restriction(A,relation_dom_restriction(B,A)) ),
    inference(assume_negation,status(cth),[t18_wellord1]) ).

fof(c7,negated_conjecture,
    ? [A,B] :
      ( relation(B)
      & relation_restriction(B,A) != relation_rng_restriction(A,relation_dom_restriction(B,A)) ),
    inference(fof_nnf,status(thm),[c6]) ).

fof(c8,negated_conjecture,
    ? [X2,X3] :
      ( relation(X3)
      & relation_restriction(X3,X2) != relation_rng_restriction(X2,relation_dom_restriction(X3,X2)) ),
    inference(variable_rename,status(thm),[c7]) ).

fof(c9,negated_conjecture,
    ( relation(skolem0002)
    & relation_restriction(skolem0002,skolem0001) != relation_rng_restriction(skolem0001,relation_dom_restriction(skolem0002,skolem0001)) ),
    inference(skolemize,status(esa),[c8]) ).

cnf(c11,negated_conjecture,
    relation_restriction(skolem0002,skolem0001) != relation_rng_restriction(skolem0001,relation_dom_restriction(skolem0002,skolem0001)),
    inference(split_conjunct,status(thm),[c9]) ).

cnf(symmetry,axiom,
    ( X23 != X22
    | X22 = X23 ),
    eq_axiom ).

cnf(c10,negated_conjecture,
    relation(skolem0002),
    inference(split_conjunct,status(thm),[c9]) ).

fof(t140_relat_1,axiom,
    ! [A,B,C] :
      ( relation(C)
     => relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B)) ),
    input ).

fof(c15,axiom,
    ! [A,B,C] :
      ( ~ relation(C)
      | relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B)) ),
    inference(fof_nnf,status(thm),[t140_relat_1]) ).

fof(c16,axiom,
    ! [X6,X7,X8] :
      ( ~ relation(X8)
      | relation_dom_restriction(relation_rng_restriction(X6,X8),X7) = relation_rng_restriction(X6,relation_dom_restriction(X8,X7)) ),
    inference(variable_rename,status(thm),[c15]) ).

cnf(c17,axiom,
    ( ~ relation(X122)
    | relation_dom_restriction(relation_rng_restriction(X123,X122),X124) = relation_rng_restriction(X123,relation_dom_restriction(X122,X124)) ),
    inference(split_conjunct,status(thm),[c16]) ).

cnf(c208,plain,
    relation_dom_restriction(relation_rng_restriction(X1212,skolem0002),X1213) = relation_rng_restriction(X1212,relation_dom_restriction(skolem0002,X1213)),
    inference(resolution,status(thm),[c17,c10]) ).

cnf(c4877,plain,
    relation_rng_restriction(X4097,relation_dom_restriction(skolem0002,X4098)) = relation_dom_restriction(relation_rng_restriction(X4097,skolem0002),X4098),
    inference(resolution,status(thm),[c208,symmetry]) ).

cnf(transitivity,axiom,
    ( X32 != X30
    | X30 != X31
    | X32 = X31 ),
    eq_axiom ).

fof(t17_wellord1,axiom,
    ! [A,B] :
      ( relation(B)
     => relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A) ),
    input ).

fof(c12,axiom,
    ! [A,B] :
      ( ~ relation(B)
      | relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A) ),
    inference(fof_nnf,status(thm),[t17_wellord1]) ).

fof(c13,axiom,
    ! [X4,X5] :
      ( ~ relation(X5)
      | relation_restriction(X5,X4) = relation_dom_restriction(relation_rng_restriction(X4,X5),X4) ),
    inference(variable_rename,status(thm),[c12]) ).

cnf(c14,axiom,
    ( ~ relation(X106)
    | relation_restriction(X106,X105) = relation_dom_restriction(relation_rng_restriction(X105,X106),X105) ),
    inference(split_conjunct,status(thm),[c13]) ).

cnf(c162,plain,
    relation_restriction(skolem0002,X488) = relation_dom_restriction(relation_rng_restriction(X488,skolem0002),X488),
    inference(resolution,status(thm),[c14,c10]) ).

cnf(c1780,plain,
    relation_dom_restriction(relation_rng_restriction(X773,skolem0002),X773) = relation_restriction(skolem0002,X773),
    inference(resolution,status(thm),[c162,symmetry]) ).

cnf(c2882,plain,
    ( X7860 != relation_dom_restriction(relation_rng_restriction(X7861,skolem0002),X7861)
    | X7860 = relation_restriction(skolem0002,X7861) ),
    inference(resolution,status(thm),[c1780,transitivity]) ).

cnf(c94767,plain,
    relation_rng_restriction(X7864,relation_dom_restriction(skolem0002,X7864)) = relation_restriction(skolem0002,X7864),
    inference(resolution,status(thm),[c2882,c4877]) ).

cnf(c94876,plain,
    relation_restriction(skolem0002,X7871) = relation_rng_restriction(X7871,relation_dom_restriction(skolem0002,X7871)),
    inference(resolution,status(thm),[c94767,symmetry]) ).

cnf(c95092,plain,
    $false,
    inference(resolution,status(thm),[c94876,c11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU247+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 19 18:27:14 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 53.32/53.57  # Version:  1.3
% 53.32/53.57  # SZS status Theorem
% 53.32/53.57  # SZS output start CNFRefutation
% See solution above
% 53.32/53.57  
% 53.32/53.57  # Initial clauses    : 21
% 53.32/53.57  # Processed clauses  : 1341
% 53.32/53.57  # Factors computed   : 0
% 53.32/53.57  # Resolvents computed: 95115
% 53.32/53.57  # Tautologies deleted: 2
% 53.32/53.57  # Forward subsumed   : 2111
% 53.32/53.57  # Backward subsumed  : 5
% 53.32/53.57  # -------- CPU Time ---------
% 53.32/53.57  # User time          : 53.020 s
% 53.32/53.57  # System time        : 0.202 s
% 53.32/53.57  # Total time         : 53.222 s
%------------------------------------------------------------------------------