%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GRP017-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n022.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  : 300s
% DateTime : Thu May  9 17:22:47 EDT 2024

% Result   : Unsatisfiable 1.03s 1.22s
% Output   : Refutation 1.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   8 unt;   0 nHn;  11 RR)
%            Number of literals    :   22 (   4 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_b_equals_c,negated_conjecture,
    b != c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_equals_c) ).

cnf(left_identity,axiom,
    product(identity,X3,X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_identity) ).

cnf(total_function2,axiom,
    ( ~ product(X11,X10,X12)
    | ~ product(X11,X10,X9)
    | X12 = X9 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',total_function2) ).

cnf(c4,plain,
    ( ~ product(identity,X19,X20)
    | X20 = X19 ),
    inference(resolution,[status(thm)],[total_function2,left_identity]) ).

cnf(b_times_a_is_identity,plain,
    product(b,a,identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_a_is_identity) ).

cnf(a_times_c_is_identity,plain,
    product(a,c,identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_c_is_identity) ).

cnf(right_identity,axiom,
    product(X4,identity,X4),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_identity) ).

cnf(associativity2,axiom,
    ( ~ product(X30,X33,X35)
    | ~ product(X33,X31,X32)
    | ~ product(X30,X32,X34)
    | product(X35,X31,X34) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',associativity2) ).

cnf(c41,plain,
    ( ~ product(X222,X223,X220)
    | ~ product(X223,X221,identity)
    | product(X220,X221,X222) ),
    inference(resolution,[status(thm)],[associativity2,right_identity]) ).

cnf(c536,plain,
    ( ~ product(X433,a,X434)
    | product(X434,c,X433) ),
    inference(resolution,[status(thm)],[c41,a_times_c_is_identity]) ).

cnf(c3020,plain,
    product(identity,c,b),
    inference(resolution,[status(thm)],[c536,b_times_a_is_identity]) ).

cnf(c3031,plain,
    b = c,
    inference(resolution,[status(thm)],[c3020,c4]) ).

cnf(c3049,plain,
    $false,
    inference(resolution,[status(thm)],[c3031,prove_b_equals_c]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP017-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.32  % Computer : n022.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 300
% 0.13/0.32  % DateTime : Thu May  9 03:51:38 EDT 2024
% 0.13/0.32  % CPUTime  : 
% 1.03/1.22  % Version:  1.5
% 1.03/1.22  % SZS status Unsatisfiable
% 1.03/1.22  % SZS output start CNFRefutation
% See solution above
% 1.03/1.22  
% 1.03/1.22  % Initial clauses    : 19
% 1.03/1.22  % Processed clauses  : 201
% 1.03/1.22  % Factors computed   : 33
% 1.03/1.22  % Resolvents computed: 3032
% 1.03/1.22  % Tautologies deleted: 15
% 1.03/1.22  % Forward subsumed   : 225
% 1.03/1.22  % Backward subsumed  : 2
% 1.03/1.22  % -------- CPU Time ---------
% 1.03/1.22  % User time          : 0.871 s
% 1.03/1.22  % System time        : 0.019 s
% 1.03/1.22  % Total time         : 0.890 s
%------------------------------------------------------------------------------