%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP125-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n032.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 11:21:53 EDT 2022

% Result   : Unsatisfiable 0.40s 0.58s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(e_2_is_not_e_1,axiom,
    ~ equalish(e_2,e_1),
    input ).

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

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

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

cnf(qg3,negated_conjecture,
    ( ~ product(X42,X44,X45)
    | ~ product(X44,X42,X43)
    | product(X45,X43,X42) ),
    input ).

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

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

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

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

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

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

cnf(c0,plain,
    ( ~ group_element(X51)
    | product(e_1,X51,e_1)
    | product(e_2,X51,e_1)
    | product(e_3,X51,e_1) ),
    inference(resolution,status(thm),[row_surjectivity,element_1]) ).

cnf(c22,plain,
    ( product(e_1,e_2,e_1)
    | product(e_2,e_2,e_1)
    | product(e_3,e_2,e_1) ),
    inference(resolution,status(thm),[c0,element_2]) ).

cnf(c53,plain,
    ( product(e_2,e_2,e_1)
    | product(e_3,e_2,e_1)
    | equalish(e_2,e_1) ),
    inference(resolution,status(thm),[c22,c8]) ).

cnf(c84,plain,
    ( product(e_2,e_2,e_1)
    | product(e_3,e_2,e_1) ),
    inference(resolution,status(thm),[c53,e_2_is_not_e_1]) ).

cnf(c89,plain,
    ( product(e_3,e_2,e_1)
    | equalish(e_1,e_2) ),
    inference(resolution,status(thm),[c84,c6]) ).

cnf(c105,plain,
    product(e_3,e_2,e_1),
    inference(resolution,status(thm),[c89,e_1_is_not_e_2]) ).

cnf(c110,plain,
    ( ~ product(e_2,e_3,X65)
    | product(X65,e_1,e_2) ),
    inference(resolution,status(thm),[c105,qg3]) ).

cnf(e_3_is_not_e_2,axiom,
    ~ equalish(e_3,e_2),
    input ).

cnf(c109,plain,
    ( ~ product(e_3,X61,e_1)
    | equalish(X61,e_2) ),
    inference(resolution,status(thm),[c105,product_right_cancellation]) ).

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

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

cnf(c23,plain,
    ( product(e_1,e_3,e_1)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1) ),
    inference(resolution,status(thm),[c0,element_3]) ).

cnf(c118,plain,
    ( product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | equalish(e_3,e_1) ),
    inference(resolution,status(thm),[c23,c8]) ).

cnf(c250,plain,
    ( product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1) ),
    inference(resolution,status(thm),[c118,e_3_is_not_e_1]) ).

cnf(c260,plain,
    ( product(e_2,e_3,e_1)
    | equalish(e_3,e_2) ),
    inference(resolution,status(thm),[c250,c109]) ).

cnf(c274,plain,
    product(e_2,e_3,e_1),
    inference(resolution,status(thm),[c260,e_3_is_not_e_2]) ).

cnf(c277,plain,
    product(e_1,e_1,e_2),
    inference(resolution,status(thm),[c274,c110]) ).

cnf(c286,plain,
    equalish(e_2,e_1),
    inference(resolution,status(thm),[c277,c6]) ).

cnf(c291,plain,
    $false,
    inference(resolution,status(thm),[c286,e_2_is_not_e_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GRP125-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.11  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.31  % Computer : n032.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % WCLimit  : 600
% 0.12/0.31  % DateTime : Mon Jun 13 10:53:56 EDT 2022
% 0.12/0.31  % CPUTime  : 
% 0.40/0.58  # Version:  1.3
% 0.40/0.58  # SZS status Unsatisfiable
% 0.40/0.58  # SZS output start CNFRefutation
% See solution above
% 0.40/0.58  
% 0.40/0.58  # Initial clauses    : 19
% 0.40/0.58  # Processed clauses  : 57
% 0.40/0.58  # Factors computed   : 0
% 0.40/0.58  # Resolvents computed: 292
% 0.40/0.58  # Tautologies deleted: 0
% 0.40/0.58  # Forward subsumed   : 34
% 0.40/0.58  # Backward subsumed  : 9
% 0.40/0.58  # -------- CPU Time ---------
% 0.40/0.58  # User time          : 0.244 s
% 0.40/0.58  # System time        : 0.015 s
% 0.40/0.58  # Total time         : 0.259 s
%------------------------------------------------------------------------------