%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYO691-1.000 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n008.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 : Thu Jul 21 19:23:17 EDT 2022

% Result   : Unsatisfiable 0.19s 0.59s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove,negated_conjecture,
    ~ seq(succ(succ(succ(zero))),X5,X5),
    input ).

cnf(rewrite_left,axiom,
    ( ~ step(X8,X6)
    | step(f(X8,X7),f(X6,X7)) ),
    input ).

cnf(rewrite_top,axiom,
    ( ~ top(X4,X3)
    | step(X4,X3) ),
    input ).

cnf(rule_1,axiom,
    top(f(f(X13,X12),f(X14,a)),f(f(X14,f(X12,a)),X13)),
    input ).

cnf(c0,plain,
    step(f(f(X23,X22),f(X21,a)),f(f(X21,f(X22,a)),X23)),
    inference(resolution,status(thm),[rule_1,rewrite_top]) ).

cnf(c4,plain,
    step(f(f(f(X32,X33),f(X31,a)),X34),f(f(f(X31,f(X33,a)),X32),X34)),
    inference(resolution,status(thm),[c0,rewrite_left]) ).

cnf(c11,plain,
    step(f(f(f(f(X62,X65),f(X63,a)),X64),X66),f(f(f(f(X63,f(X65,a)),X62),X64),X66)),
    inference(resolution,status(thm),[c4,rewrite_left]) ).

cnf(rewrite_sequence_succ,axiom,
    ( ~ seq(X17,X18,X15)
    | ~ step(X15,X16)
    | seq(succ(X17),X18,X16) ),
    input ).

cnf(rewrite_sequence_zero,axiom,
    seq(zero,X2,X2),
    input ).

cnf(c1,plain,
    ( ~ step(X19,X20)
    | seq(succ(zero),X19,X20) ),
    inference(resolution,status(thm),[rewrite_sequence_succ,rewrite_sequence_zero]) ).

cnf(c3,plain,
    seq(succ(zero),f(f(X25,X26),f(X24,a)),f(f(X24,f(X26,a)),X25)),
    inference(resolution,status(thm),[c0,c1]) ).

cnf(c5,plain,
    ( ~ step(f(f(X35,f(X38,a)),X37),X36)
    | seq(succ(succ(zero)),f(f(X37,X38),f(X35,a)),X36) ),
    inference(resolution,status(thm),[c3,rewrite_sequence_succ]) ).

cnf(c14,plain,
    seq(succ(succ(zero)),f(f(X68,X69),f(f(X67,X70),a)),f(f(f(X69,f(X70,a)),X67),X68)),
    inference(resolution,status(thm),[c5,c4]) ).

cnf(c32,plain,
    ( ~ step(f(f(f(X172,f(X173,a)),X169),X171),X170)
    | seq(succ(succ(succ(zero))),f(f(X171,X172),f(f(X169,X173),a)),X170) ),
    inference(resolution,status(thm),[c14,rewrite_sequence_succ]) ).

cnf(c100,plain,
    seq(succ(succ(succ(zero))),f(f(X219,f(X220,X218)),f(f(X216,X217),a)),f(f(f(f(X217,f(X218,a)),X220),X216),X219)),
    inference(resolution,status(thm),[c32,c11]) ).

cnf(c134,plain,
    $false,
    inference(resolution,status(thm),[c100,prove]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO691-1.000 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n008.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 : Fri Jul  8 19:01:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.59  # Version:  1.3
% 0.19/0.59  # SZS status Unsatisfiable
% 0.19/0.59  # SZS output start CNFRefutation
% See solution above
% 0.19/0.59  
% 0.19/0.59  # Initial clauses    : 7
% 0.19/0.59  # Processed clauses  : 49
% 0.19/0.59  # Factors computed   : 0
% 0.19/0.59  # Resolvents computed: 136
% 0.19/0.59  # Tautologies deleted: 0
% 0.19/0.59  # Forward subsumed   : 0
% 0.19/0.59  # Backward subsumed  : 0
% 0.19/0.59  # -------- CPU Time ---------
% 0.19/0.59  # User time          : 0.229 s
% 0.19/0.59  # System time        : 0.019 s
% 0.19/0.59  # Total time         : 0.248 s
%------------------------------------------------------------------------------