%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : RNG007-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n029.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 : Mon Jul 18 20:39:26 EDT 2022

% Result   : Unsatisfiable 17.96s 18.15s
% Output   : Refutation 17.96s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_inverse,negated_conjecture,
    add(a,a) != additive_identity,
    input ).

cnf(left_additive_inverse,axiom,
    add(additive_inverse(X6),X6) = additive_identity,
    input ).

cnf(transitivity,axiom,
    ( X38 != X39
    | X39 != X40
    | X38 = X40 ),
    eq_axiom ).

cnf(c33,plain,
    ( X158 != add(additive_inverse(X157),X157)
    | X158 = additive_identity ),
    inference(resolution,status(thm),[transitivity,left_additive_inverse]) ).

cnf(reflexivity,axiom,
    X2 = X2,
    eq_axiom ).

cnf(c0,plain,
    ( X68 != X70
    | X71 != X69
    | add(X68,X71) = add(X70,X69) ),
    eq_axiom ).

cnf(c134,plain,
    ( X672 != X671
    | add(X672,X673) = add(X671,X673) ),
    inference(resolution,status(thm),[c0,reflexivity]) ).

cnf(boolean_ring,plain,
    multiply(X3,X3) = X3,
    input ).

cnf(c39,plain,
    ( X49 != multiply(X50,X50)
    | X49 = X50 ),
    inference(resolution,status(thm),[transitivity,boolean_ring]) ).

cnf(symmetry,axiom,
    ( X7 != X8
    | X8 = X7 ),
    eq_axiom ).

cnf(additive_inverse_additive_inverse,axiom,
    additive_inverse(additive_inverse(X5)) = X5,
    input ).

cnf(c70,plain,
    additive_inverse(additive_inverse(multiply(X64,X64))) = X64,
    inference(resolution,status(thm),[c39,additive_inverse_additive_inverse]) ).

cnf(c94,plain,
    ( X400 != additive_inverse(additive_inverse(multiply(X399,X399)))
    | X400 = X399 ),
    inference(resolution,status(thm),[c70,transitivity]) ).

cnf(multiply_additive_inverse2,axiom,
    multiply(additive_inverse(X46),X47) = additive_inverse(multiply(X46,X47)),
    input ).

cnf(c1,plain,
    ( X77 != X78
    | additive_inverse(X77) = additive_inverse(X78) ),
    eq_axiom ).

cnf(c163,plain,
    additive_inverse(multiply(additive_inverse(X798),X799)) = additive_inverse(additive_inverse(multiply(X798,X799))),
    inference(resolution,status(thm),[c1,multiply_additive_inverse2]) ).

cnf(c9798,plain,
    additive_inverse(multiply(additive_inverse(X800),X800)) = X800,
    inference(resolution,status(thm),[c163,c94]) ).

cnf(c9832,plain,
    X801 = additive_inverse(multiply(additive_inverse(X801),X801)),
    inference(resolution,status(thm),[c9798,symmetry]) ).

cnf(multiply_additive_inverse1,axiom,
    multiply(X35,additive_inverse(X36)) = additive_inverse(multiply(X35,X36)),
    input ).

cnf(c22,plain,
    additive_inverse(multiply(X116,X117)) = multiply(X116,additive_inverse(X117)),
    inference(resolution,status(thm),[multiply_additive_inverse1,symmetry]) ).

cnf(c322,plain,
    ( X1571 != additive_inverse(multiply(X1572,X1570))
    | X1571 = multiply(X1572,additive_inverse(X1570)) ),
    inference(resolution,status(thm),[c22,transitivity]) ).

cnf(c36533,plain,
    X1589 = multiply(additive_inverse(X1589),additive_inverse(X1589)),
    inference(resolution,status(thm),[c322,c9832]) ).

cnf(c37371,plain,
    X1590 = additive_inverse(X1590),
    inference(resolution,status(thm),[c36533,c39]) ).

cnf(c37473,plain,
    add(X1909,X1908) = add(additive_inverse(X1909),X1908),
    inference(resolution,status(thm),[c37371,c134]) ).

cnf(c51045,plain,
    add(X1910,X1910) = additive_identity,
    inference(resolution,status(thm),[c37473,c33]) ).

cnf(c51157,plain,
    $false,
    inference(resolution,status(thm),[c51045,prove_inverse]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : RNG007-4 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n029.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 : Mon May 30 05:05:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 17.96/18.15  # Version:  1.3
% 17.96/18.15  # SZS status Unsatisfiable
% 17.96/18.15  # SZS output start CNFRefutation
% See solution above
% 17.96/18.15  
% 17.96/18.15  # Initial clauses    : 22
% 17.96/18.15  # Processed clauses  : 598
% 17.96/18.15  # Factors computed   : 0
% 17.96/18.15  # Resolvents computed: 51251
% 17.96/18.15  # Tautologies deleted: 1
% 17.96/18.15  # Forward subsumed   : 1054
% 17.96/18.15  # Backward subsumed  : 24
% 17.96/18.15  # -------- CPU Time ---------
% 17.96/18.15  # User time          : 17.706 s
% 17.96/18.15  # System time        : 0.111 s
% 17.96/18.15  # Total time         : 17.817 s
%------------------------------------------------------------------------------