%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n021.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 : Sat Jul 16 11:21:12 EDT 2022

% Result   : Unsatisfiable 3.14s 3.30s
% Output   : Refutation 3.14s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_b_times_a_is_c,negated_conjecture,
    ~ product(b,a,c),
    input ).

cnf(square_element,plain,
    product(X5,X5,identity),
    input ).

cnf(right_identity,axiom,
    product(X4,identity,X4),
    input ).

cnf(associativity2,axiom,
    ( ~ product(X32,X33,X30)
    | ~ product(X33,X34,X31)
    | ~ product(X32,X31,X29)
    | product(X30,X34,X29) ),
    input ).

cnf(c30,plain,
    ( ~ product(X157,X160,X158)
    | ~ product(X160,X159,identity)
    | product(X158,X159,X157) ),
    inference(resolution,status(thm),[associativity2,right_identity]) ).

cnf(c322,plain,
    ( ~ product(X163,X164,X162)
    | product(X162,X164,X163) ),
    inference(resolution,status(thm),[c30,square_element]) ).

cnf(a_times_b_is_c,negated_conjecture,
    product(a,b,c),
    input ).

cnf(left_identity,axiom,
    product(identity,X3,X3),
    input ).

cnf(associativity1,axiom,
    ( ~ product(X23,X24,X21)
    | ~ product(X24,X25,X22)
    | ~ product(X21,X25,X20)
    | product(X23,X22,X20) ),
    input ).

cnf(c19,plain,
    ( ~ product(X98,X97,identity)
    | ~ product(X97,X96,X99)
    | product(X98,X99,X96) ),
    inference(resolution,status(thm),[associativity1,left_identity]) ).

cnf(c142,plain,
    ( ~ product(X473,a,identity)
    | product(X473,c,b) ),
    inference(resolution,status(thm),[c19,a_times_b_is_c]) ).

cnf(c2506,plain,
    product(a,c,b),
    inference(resolution,status(thm),[c142,square_element]) ).

cnf(c2508,plain,
    product(b,c,a),
    inference(resolution,status(thm),[c2506,c322]) ).

cnf(c18,plain,
    ( ~ product(X90,X89,a)
    | ~ product(X89,b,X91)
    | product(X90,X91,c) ),
    inference(resolution,status(thm),[associativity1,a_times_b_is_c]) ).

cnf(c325,plain,
    product(c,b,a),
    inference(resolution,status(thm),[c322,a_times_b_is_c]) ).

cnf(c383,plain,
    ( ~ product(X1188,c,a)
    | product(X1188,a,c) ),
    inference(resolution,status(thm),[c325,c18]) ).

cnf(c8937,plain,
    product(b,a,c),
    inference(resolution,status(thm),[c383,c2508]) ).

cnf(c8948,plain,
    $false,
    inference(resolution,status(thm),[c8937,prove_b_times_a_is_c]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n021.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 : Tue Jun 14 04:49:42 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 3.14/3.30  # Version:  1.3
% 3.14/3.30  # SZS status Unsatisfiable
% 3.14/3.30  # SZS output start CNFRefutation
% See solution above
% 3.14/3.30  
% 3.14/3.30  # Initial clauses    : 17
% 3.14/3.30  # Processed clauses  : 361
% 3.14/3.30  # Factors computed   : 2
% 3.14/3.30  # Resolvents computed: 8956
% 3.14/3.30  # Tautologies deleted: 6
% 3.14/3.30  # Forward subsumed   : 894
% 3.14/3.30  # Backward subsumed  : 15
% 3.14/3.30  # -------- CPU Time ---------
% 3.14/3.30  # User time          : 2.934 s
% 3.14/3.30  # System time        : 0.023 s
% 3.14/3.30  # Total time         : 2.957 s
%------------------------------------------------------------------------------