%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP396+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n007.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 11:23:03 EDT 2022

% Result   : Satisfiable 0.39s 0.56s
% Output   : Saturation 0.39s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(associativity,axiom,
    ! [G,X,Y,Z] :
      ( ( group_member(X,G)
        & group_member(Y,G)
        & group_member(Z,G) )
     => multiply(G,multiply(G,X,Y),Z) = multiply(G,X,multiply(G,Y,Z)) ),
    input ).

fof(c2,axiom,
    ! [G,X,Y,Z] :
      ( ~ group_member(X,G)
      | ~ group_member(Y,G)
      | ~ group_member(Z,G)
      | multiply(G,multiply(G,X,Y),Z) = multiply(G,X,multiply(G,Y,Z)) ),
    inference(fof_nnf,status(thm),[associativity]) ).

fof(c3,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ group_member(X3,X2)
      | ~ group_member(X4,X2)
      | ~ group_member(X5,X2)
      | multiply(X2,multiply(X2,X3,X4),X5) = multiply(X2,X3,multiply(X2,X4,X5)) ),
    inference(variable_rename,status(thm),[c2]) ).

cnf(c4,axiom,
    ( ~ group_member(X46,X43)
    | ~ group_member(X44,X43)
    | ~ group_member(X45,X43)
    | multiply(X43,multiply(X43,X46,X44),X45) = multiply(X43,X46,multiply(X43,X44,X45)) ),
    inference(split_conjunct,status(thm),[c3]) ).

cnf(reflexivity,axiom,
    X9 = X9,
    eq_axiom ).

cnf(c0,plain,
    ( X22 != X20
    | X18 != X21
    | X23 != X19
    | multiply(X22,X18,X23) = multiply(X20,X21,X19) ),
    eq_axiom ).

cnf(c10,plain,
    ( X34 != X32
    | X35 != X31
    | multiply(X34,X35,X33) = multiply(X32,X31,X33) ),
    inference(resolution,status(thm),[c0,reflexivity]) ).

cnf(c11,plain,
    ( X36 != X39
    | multiply(X36,X37,X38) = multiply(X39,X37,X38) ),
    inference(resolution,status(thm),[c10,reflexivity]) ).

fof(total_function,axiom,
    ! [G,X,Y] :
      ( ( group_member(X,G)
        & group_member(Y,G) )
     => group_member(multiply(G,X,Y),G) ),
    input ).

fof(c5,axiom,
    ! [G,X,Y] :
      ( ~ group_member(X,G)
      | ~ group_member(Y,G)
      | group_member(multiply(G,X,Y),G) ),
    inference(fof_nnf,status(thm),[total_function]) ).

fof(c6,axiom,
    ! [X6,X7,X8] :
      ( ~ group_member(X7,X6)
      | ~ group_member(X8,X6)
      | group_member(multiply(X6,X7,X8),X6) ),
    inference(variable_rename,status(thm),[c5]) ).

cnf(c7,axiom,
    ( ~ group_member(X29,X28)
    | ~ group_member(X30,X28)
    | group_member(multiply(X28,X29,X30),X28) ),
    inference(split_conjunct,status(thm),[c6]) ).

cnf(c1,plain,
    ( X27 != X25
    | X24 != X26
    | ~ group_member(X27,X24)
    | group_member(X25,X26) ),
    eq_axiom ).

cnf(transitivity,axiom,
    ( X14 != X13
    | X13 != X15
    | X14 = X15 ),
    eq_axiom ).

cnf(symmetry,axiom,
    ( X11 != X10
    | X10 = X11 ),
    eq_axiom ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP396+1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n007.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jun 13 14:56:39 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.39/0.56  # Version:  1.3
% 0.39/0.56  # SZS status Satisfiable
% 0.39/0.56  # SZS output start Saturation
% See solution above
% 0.39/0.56  
% 0.39/0.56  # Initial clauses    : 7
% 0.39/0.56  # Processed clauses  : 9
% 0.39/0.56  # Factors computed   : 0
% 0.39/0.56  # Resolvents computed: 5
% 0.39/0.56  # Tautologies deleted: 1
% 0.39/0.56  # Forward subsumed   : 2
% 0.39/0.56  # Backward subsumed  : 0
% 0.39/0.56  # -------- CPU Time ---------
% 0.39/0.56  # User time          : 0.205 s
% 0.39/0.56  # System time        : 0.016 s
% 0.39/0.56  # Total time         : 0.221 s
%------------------------------------------------------------------------------