TSTP Solution File: SYN082-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN082-1 : 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 : Thu Jul 21 11:25:17 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_2,negated_conjecture,
    ( big_f(a,f(a))
    | big_f(a,b) ),
    input ).

cnf(clause_7,negated_conjecture,
    ( ~ big_f(g(X3),X3)
    | ~ big_f(a,X3)
    | big_f(a,b) ),
    input ).

cnf(clause_4,negated_conjecture,
    ( big_f(g(X2),X2)
    | ~ big_f(a,X2)
    | big_f(a,b) ),
    input ).

cnf(c1,plain,
    ( big_f(g(f(a)),f(a))
    | big_f(a,b) ),
    inference(resolution,status(thm),[clause_4,clause_2]) ).

cnf(c2,plain,
    ( big_f(a,b)
    | ~ big_f(a,f(a)) ),
    inference(resolution,status(thm),[c1,clause_7]) ).

cnf(c4,plain,
    big_f(a,b),
    inference(resolution,status(thm),[c2,clause_2]) ).

cnf(clause_1,negated_conjecture,
    ( big_f(a,f(a))
    | ~ big_f(X4,b)
    | big_f(X4,f(a)) ),
    input ).

cnf(c5,plain,
    big_f(a,f(a)),
    inference(resolution,status(thm),[clause_1,clause_2]) ).

cnf(clause_5,negated_conjecture,
    ( big_f(g(X5),X5)
    | ~ big_f(a,X5)
    | ~ big_f(a,f(a)) ),
    input ).

cnf(c8,plain,
    ( big_f(g(X6),X6)
    | ~ big_f(a,X6) ),
    inference(resolution,status(thm),[clause_5,c5]) ).

cnf(c9,plain,
    big_f(g(b),b),
    inference(resolution,status(thm),[c8,c4]) ).

cnf(clause_8,negated_conjecture,
    ( ~ big_f(g(X9),X9)
    | ~ big_f(a,X9)
    | ~ big_f(a,f(a)) ),
    input ).

cnf(c11,plain,
    ( ~ big_f(g(X10),X10)
    | ~ big_f(a,X10) ),
    inference(resolution,status(thm),[clause_8,c5]) ).

cnf(c13,plain,
    ~ big_f(a,b),
    inference(resolution,status(thm),[c11,c9]) ).

cnf(c14,plain,
    $false,
    inference(resolution,status(thm),[c13,c4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN082-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul 12 06:28:02 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.53  # Version:  1.3
% 0.19/0.53  # SZS status Unsatisfiable
% 0.19/0.53  # SZS output start CNFRefutation
% See solution above
% 0.19/0.53  
% 0.19/0.53  # Initial clauses    : 8
% 0.19/0.53  # Processed clauses  : 15
% 0.19/0.53  # Factors computed   : 0
% 0.19/0.53  # Resolvents computed: 15
% 0.19/0.53  # Tautologies deleted: 0
% 0.19/0.53  # Forward subsumed   : 3
% 0.19/0.53  # Backward subsumed  : 8
% 0.19/0.53  # -------- CPU Time ---------
% 0.19/0.53  # User time          : 0.170 s
% 0.19/0.53  # System time        : 0.016 s
% 0.19/0.53  # Total time         : 0.186 s
%------------------------------------------------------------------------------