TSTP Solution File: SYN069-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN069-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n020.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 11:25:07 EDT 2022

% Result   : Unsatisfiable 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_6,axiom,
    ( ~ big_h(a,X3)
    | big_l(X3) ),
    input ).

cnf(clause_5,axiom,
    big_f(a),
    input ).

cnf(clause_9,negated_conjecture,
    ( ~ big_f(X7)
    | big_h(X7,g(X7)) ),
    input ).

cnf(c1,plain,
    big_h(a,g(a)),
    inference(resolution,status(thm),[clause_9,clause_5]) ).

cnf(c3,plain,
    big_l(g(a)),
    inference(resolution,status(thm),[c1,clause_6]) ).

cnf(clause_4,axiom,
    ( ~ big_l(X2)
    | ~ big_k(X2) ),
    input ).

cnf(clause_8,negated_conjecture,
    ( ~ big_f(X4)
    | big_g(g(X4)) ),
    input ).

cnf(c0,plain,
    big_g(g(a)),
    inference(resolution,status(thm),[clause_8,clause_5]) ).

cnf(clause_2,axiom,
    ( ~ big_f(X10)
    | big_h(X10,f(X10))
    | ~ big_g(X9)
    | ~ big_h(X10,X9)
    | big_k(X9) ),
    input ).

cnf(c6,plain,
    ( ~ big_f(a)
    | big_h(a,f(a))
    | ~ big_g(g(a))
    | big_k(g(a)) ),
    inference(resolution,status(thm),[clause_2,c1]) ).

cnf(c10,plain,
    ( ~ big_f(a)
    | big_h(a,f(a))
    | big_k(g(a)) ),
    inference(resolution,status(thm),[c6,c0]) ).

cnf(c12,plain,
    ( big_h(a,f(a))
    | big_k(g(a)) ),
    inference(resolution,status(thm),[c10,clause_5]) ).

cnf(c16,plain,
    ( big_k(g(a))
    | big_l(f(a)) ),
    inference(resolution,status(thm),[c12,clause_6]) ).

cnf(c18,plain,
    ( big_l(f(a))
    | ~ big_l(g(a)) ),
    inference(resolution,status(thm),[c16,clause_4]) ).

cnf(c19,plain,
    big_l(f(a)),
    inference(resolution,status(thm),[c18,c3]) ).

cnf(clause_1,axiom,
    ( ~ big_f(X6)
    | big_g(f(X6))
    | ~ big_g(X5)
    | ~ big_h(X6,X5)
    | big_k(X5) ),
    input ).

cnf(c2,plain,
    ( ~ big_f(a)
    | big_g(f(a))
    | ~ big_g(g(a))
    | big_k(g(a)) ),
    inference(resolution,status(thm),[c1,clause_1]) ).

cnf(c7,plain,
    ( ~ big_f(a)
    | big_g(f(a))
    | big_k(g(a)) ),
    inference(resolution,status(thm),[c2,c0]) ).

cnf(c8,plain,
    ( big_g(f(a))
    | big_k(g(a)) ),
    inference(resolution,status(thm),[c7,clause_5]) ).

cnf(c9,plain,
    ( big_g(f(a))
    | ~ big_l(g(a)) ),
    inference(resolution,status(thm),[c8,clause_4]) ).

cnf(c11,plain,
    big_g(f(a)),
    inference(resolution,status(thm),[c9,c3]) ).

cnf(c17,plain,
    ( big_h(a,f(a))
    | ~ big_l(g(a)) ),
    inference(resolution,status(thm),[c12,clause_4]) ).

cnf(c20,plain,
    big_h(a,f(a)),
    inference(resolution,status(thm),[c17,c3]) ).

cnf(clause_3,axiom,
    ( ~ big_f(X12)
    | ~ big_j(X12,f(X12))
    | ~ big_g(X11)
    | ~ big_h(X12,X11)
    | big_k(X11) ),
    input ).

cnf(clause_7,axiom,
    ( ~ big_g(X8)
    | ~ big_h(a,X8)
    | big_j(a,X8) ),
    input ).

cnf(c22,plain,
    ( ~ big_g(f(a))
    | big_j(a,f(a)) ),
    inference(resolution,status(thm),[c20,clause_7]) ).

cnf(c26,plain,
    big_j(a,f(a)),
    inference(resolution,status(thm),[c22,c11]) ).

cnf(c27,plain,
    ( ~ big_f(a)
    | ~ big_g(X13)
    | ~ big_h(a,X13)
    | big_k(X13) ),
    inference(resolution,status(thm),[c26,clause_3]) ).

cnf(c28,plain,
    ( ~ big_f(a)
    | ~ big_g(f(a))
    | big_k(f(a)) ),
    inference(resolution,status(thm),[c27,c20]) ).

cnf(c30,plain,
    ( ~ big_f(a)
    | big_k(f(a)) ),
    inference(resolution,status(thm),[c28,c11]) ).

cnf(c31,plain,
    big_k(f(a)),
    inference(resolution,status(thm),[c30,clause_5]) ).

cnf(c32,plain,
    ~ big_l(f(a)),
    inference(resolution,status(thm),[c31,clause_4]) ).

cnf(c33,plain,
    $false,
    inference(resolution,status(thm),[c32,c19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN069-1 : 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 : n020.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 Jul 11 20:12:13 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.52  # Version:  1.3
% 0.18/0.52  # SZS status Unsatisfiable
% 0.18/0.52  # SZS output start CNFRefutation
% See solution above
% 0.18/0.52  
% 0.18/0.52  # Initial clauses    : 9
% 0.18/0.52  # Processed clauses  : 35
% 0.18/0.52  # Factors computed   : 0
% 0.18/0.52  # Resolvents computed: 34
% 0.18/0.52  # Tautologies deleted: 1
% 0.18/0.52  # Forward subsumed   : 3
% 0.18/0.52  # Backward subsumed  : 15
% 0.18/0.52  # -------- CPU Time ---------
% 0.18/0.52  # User time          : 0.180 s
% 0.18/0.52  # System time        : 0.011 s
% 0.18/0.52  # Total time         : 0.191 s
%------------------------------------------------------------------------------