%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP125-1.003 : TPTP v8.1.0. Released v1.2.0.
% 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 11:21:51 EDT 2022

% Result   : Unsatisfiable 0.34s 0.53s
% Output   : Refutation 0.34s
% 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_total_function2,axiom,
    ( ~ product(X4,X5,X3)
    | ~ product(X4,X5,X6)
    | equalish(X3,X6) ),
    input ).

cnf(c0,plain,
    ( ~ product(X10,X10,X9)
    | equalish(X9,X10) ),
    inference(resolution,status(thm),[product_total_function2,product_idempotence]) ).

cnf(qg3,negated_conjecture,
    ( ~ product(X27,X28,X26)
    | ~ product(X28,X27,X29)
    | product(X26,X29,X27) ),
    input ).

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

cnf(product_right_cancellation,axiom,
    ( ~ product(X13,X12,X14)
    | ~ product(X13,X15,X14)
    | equalish(X12,X15) ),
    input ).

cnf(c5,plain,
    ( ~ product(X16,X17,X16)
    | equalish(X17,X16) ),
    inference(resolution,status(thm),[product_right_cancellation,product_idempotence]) ).

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

cnf(product_left_cancellation,axiom,
    ( ~ product(X19,X20,X22)
    | ~ product(X21,X20,X22)
    | equalish(X19,X21) ),
    input ).

cnf(c7,plain,
    ( ~ product(X23,X24,X24)
    | equalish(X23,X24) ),
    inference(resolution,status(thm),[product_left_cancellation,product_idempotence]) ).

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

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

cnf(product_total_function1,axiom,
    ( ~ group_element(X7)
    | ~ group_element(X8)
    | product(X7,X8,e_1)
    | product(X7,X8,e_2)
    | product(X7,X8,e_3) ),
    input ).

cnf(c1,plain,
    ( ~ group_element(X33)
    | product(X33,e_1,e_1)
    | product(X33,e_1,e_2)
    | product(X33,e_1,e_3) ),
    inference(resolution,status(thm),[product_total_function1,element_1]) ).

cnf(c12,plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(resolution,status(thm),[c1,element_2]) ).

cnf(c23,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | equalish(e_2,e_1) ),
    inference(resolution,status(thm),[c12,c7]) ).

cnf(c43,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(resolution,status(thm),[c23,e_2_is_not_e_1]) ).

cnf(c61,plain,
    ( product(e_2,e_1,e_3)
    | equalish(e_1,e_2) ),
    inference(resolution,status(thm),[c43,c5]) ).

cnf(c71,plain,
    product(e_2,e_1,e_3),
    inference(resolution,status(thm),[c61,e_1_is_not_e_2]) ).

cnf(c75,plain,
    ( ~ product(e_1,e_2,X39)
    | product(X39,e_3,e_1) ),
    inference(resolution,status(thm),[c71,qg3]) ).

cnf(c2,plain,
    ( ~ group_element(X34)
    | product(X34,e_2,e_1)
    | product(X34,e_2,e_2)
    | product(X34,e_2,e_3) ),
    inference(resolution,status(thm),[product_total_function1,element_2]) ).

cnf(c14,plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(resolution,status(thm),[c2,element_1]) ).

cnf(c80,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | equalish(e_2,e_1) ),
    inference(resolution,status(thm),[c14,c5]) ).

cnf(c188,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(resolution,status(thm),[c80,e_2_is_not_e_1]) ).

cnf(c192,plain,
    ( product(e_1,e_2,e_3)
    | equalish(e_1,e_2) ),
    inference(resolution,status(thm),[c188,c7]) ).

cnf(c205,plain,
    product(e_1,e_2,e_3),
    inference(resolution,status(thm),[c192,e_1_is_not_e_2]) ).

cnf(c210,plain,
    product(e_3,e_3,e_1),
    inference(resolution,status(thm),[c205,c75]) ).

cnf(c212,plain,
    equalish(e_1,e_3),
    inference(resolution,status(thm),[c210,c0]) ).

cnf(c217,plain,
    $false,
    inference(resolution,status(thm),[c212,e_1_is_not_e_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : GRP125-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.11  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 600
% 0.11/0.31  % DateTime : Mon Jun 13 23:13:57 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.34/0.53  # Version:  1.3
% 0.34/0.53  # SZS status Unsatisfiable
% 0.34/0.53  # SZS output start CNFRefutation
% See solution above
% 0.34/0.53  
% 0.34/0.53  # Initial clauses    : 15
% 0.34/0.53  # Processed clauses  : 51
% 0.34/0.53  # Factors computed   : 0
% 0.34/0.53  # Resolvents computed: 218
% 0.34/0.53  # Tautologies deleted: 0
% 0.34/0.53  # Forward subsumed   : 45
% 0.34/0.53  # Backward subsumed  : 12
% 0.34/0.53  # -------- CPU Time ---------
% 0.34/0.53  # User time          : 0.201 s
% 0.34/0.53  # System time        : 0.006 s
% 0.34/0.53  # Total time         : 0.207 s
%------------------------------------------------------------------------------