%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP123-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n005.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 11:21:44 EDT 2022

% Result   : Unsatisfiable 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(e_1_is_not_e_3,axiom,
    ~ equalish(e_1,e_3),
    input ).

cnf(product_idempotence,axiom,
    product(X2,X2,X2),
    input ).

cnf(product_right_cancellation,axiom,
    ( ~ product(X16,X14,X15)
    | ~ product(X16,X17,X15)
    | equalish(X14,X17) ),
    input ).

cnf(c8,plain,
    ( ~ product(X19,X18,X19)
    | equalish(X18,X19) ),
    inference(resolution,status(thm),[product_right_cancellation,product_idempotence]) ).

cnf(qg1_2,negated_conjecture,
    ( ~ product(X38,X41,X39)
    | ~ product(X40,X36,X39)
    | ~ product(X37,X41,X38)
    | ~ product(X37,X36,X40)
    | equalish(X41,X36) ),
    input ).

cnf(c16,plain,
    ( ~ product(X49,X50,X48)
    | ~ product(X51,X51,X48)
    | ~ product(X51,X50,X49)
    | equalish(X50,X51) ),
    inference(resolution,status(thm),[qg1_2,product_idempotence]) ).

cnf(e_1_is_not_e_2,axiom,
    ~ equalish(e_1,e_2),
    input ).

cnf(e_2_is_not_e_1,axiom,
    ~ equalish(e_2,e_1),
    input ).

cnf(product_total_function2,axiom,
    ( ~ product(X9,X8,X7)
    | ~ product(X9,X8,X10)
    | equalish(X7,X10) ),
    input ).

cnf(c6,plain,
    ( ~ product(X12,X12,X11)
    | equalish(X11,X12) ),
    inference(resolution,status(thm),[product_total_function2,product_idempotence]) ).

cnf(element_1,axiom,
    group_element(e_1),
    input ).

cnf(element_2,axiom,
    group_element(e_2),
    input ).

cnf(row_surjectivity,axiom,
    ( ~ group_element(X4)
    | ~ group_element(X3)
    | product(e_1,X4,X3)
    | product(e_2,X4,X3)
    | product(e_3,X4,X3) ),
    input ).

cnf(c0,plain,
    ( ~ group_element(X54)
    | product(e_1,X54,e_2)
    | product(e_2,X54,e_2)
    | product(e_3,X54,e_2) ),
    inference(resolution,status(thm),[row_surjectivity,element_2]) ).

cnf(c21,plain,
    ( product(e_1,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2) ),
    inference(resolution,status(thm),[c0,element_1]) ).

cnf(c107,plain,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | equalish(e_2,e_1) ),
    inference(resolution,status(thm),[c21,c6]) ).

cnf(c232,plain,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2) ),
    inference(resolution,status(thm),[c107,e_2_is_not_e_1]) ).

cnf(c236,plain,
    ( product(e_3,e_1,e_2)
    | equalish(e_1,e_2) ),
    inference(resolution,status(thm),[c232,c8]) ).

cnf(c281,plain,
    product(e_3,e_1,e_2),
    inference(resolution,status(thm),[c236,e_1_is_not_e_2]) ).

cnf(c284,plain,
    ( ~ product(e_2,e_1,X90)
    | ~ product(e_3,e_3,X90)
    | equalish(e_1,e_3) ),
    inference(resolution,status(thm),[c281,c16]) ).

cnf(c297,plain,
    ( ~ product(e_2,e_1,e_3)
    | equalish(e_1,e_3) ),
    inference(resolution,status(thm),[c284,product_idempotence]) ).

cnf(e_3_is_not_e_1,axiom,
    ~ equalish(e_3,e_1),
    input ).

cnf(element_3,axiom,
    group_element(e_3),
    input ).

cnf(c1,plain,
    ( ~ group_element(X55)
    | product(e_1,X55,e_3)
    | product(e_2,X55,e_3)
    | product(e_3,X55,e_3) ),
    inference(resolution,status(thm),[row_surjectivity,element_3]) ).

cnf(c24,plain,
    ( product(e_1,e_1,e_3)
    | product(e_2,e_1,e_3)
    | product(e_3,e_1,e_3) ),
    inference(resolution,status(thm),[c1,element_1]) ).

cnf(c172,plain,
    ( product(e_2,e_1,e_3)
    | product(e_3,e_1,e_3)
    | equalish(e_3,e_1) ),
    inference(resolution,status(thm),[c24,c6]) ).

cnf(c453,plain,
    ( product(e_2,e_1,e_3)
    | product(e_3,e_1,e_3) ),
    inference(resolution,status(thm),[c172,e_3_is_not_e_1]) ).

cnf(c454,plain,
    ( product(e_3,e_1,e_3)
    | equalish(e_1,e_3) ),
    inference(resolution,status(thm),[c453,c297]) ).

cnf(c477,plain,
    equalish(e_1,e_3),
    inference(resolution,status(thm),[c454,c8]) ).

cnf(c482,plain,
    $false,
    inference(resolution,status(thm),[c477,e_1_is_not_e_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP123-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n005.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 : Mon Jun 13 18:37:09 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.60/0.77  # Version:  1.3
% 0.60/0.77  # SZS status Unsatisfiable
% 0.60/0.77  # SZS output start CNFRefutation
% See solution above
% 0.60/0.77  
% 0.60/0.77  # Initial clauses    : 18
% 0.60/0.77  # Processed clauses  : 79
% 0.60/0.77  # Factors computed   : 0
% 0.60/0.77  # Resolvents computed: 483
% 0.60/0.77  # Tautologies deleted: 0
% 0.60/0.77  # Forward subsumed   : 56
% 0.60/0.77  # Backward subsumed  : 17
% 0.60/0.77  # -------- CPU Time ---------
% 0.60/0.77  # User time          : 0.408 s
% 0.60/0.77  # System time        : 0.018 s
% 0.60/0.77  # Total time         : 0.427 s
%------------------------------------------------------------------------------