%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP123-2.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n010.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 11:21:43 EDT 2022

% Result   : Unsatisfiable 0.41s 0.62s
% Output   : Refutation 0.41s
% 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(X18,X17,X19)
    | ~ product(X18,X16,X19)
    | equalish(X17,X16) ),
    input ).

cnf(c6,plain,
    ( ~ product(X21,X20,X21)
    | equalish(X20,X21) ),
    inference(resolution,status(thm),[product_right_cancellation,product_idempotence]) ).

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

cnf(qg1_2,negated_conjecture,
    ( ~ product(X43,X45,X41)
    | ~ product(X42,X40,X41)
    | ~ product(X44,X45,X43)
    | ~ product(X44,X40,X42)
    | equalish(X45,X40) ),
    input ).

cnf(c12,plain,
    ( ~ product(X50,X48,X51)
    | ~ product(X49,X49,X51)
    | ~ product(X49,X48,X50)
    | equalish(X48,X49) ),
    inference(resolution,status(thm),[qg1_2,product_idempotence]) ).

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

cnf(product_left_cancellation,axiom,
    ( ~ product(X23,X24,X22)
    | ~ product(X25,X24,X22)
    | equalish(X23,X25) ),
    input ).

cnf(c8,plain,
    ( ~ product(X27,X28,X28)
    | equalish(X27,X28) ),
    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(X54)
    | product(X54,e_1,e_1)
    | product(X54,e_1,e_2)
    | product(X54,e_1,e_3) ),
    inference(resolution,status(thm),[product_total_function1,element_1]) ).

cnf(c15,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(c24,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | equalish(e_2,e_1) ),
    inference(resolution,status(thm),[c15,c8]) ).

cnf(c66,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(resolution,status(thm),[c24,e_2_is_not_e_1]) ).

cnf(c67,plain,
    ( product(e_2,e_1,e_3)
    | equalish(e_1,e_2) ),
    inference(resolution,status(thm),[c66,c6]) ).

cnf(c90,plain,
    ( equalish(e_1,e_2)
    | ~ product(e_3,e_1,X73)
    | ~ product(e_2,e_2,X73) ),
    inference(resolution,status(thm),[c67,c12]) ).

cnf(c202,plain,
    ( equalish(e_1,e_2)
    | ~ product(e_3,e_1,e_2) ),
    inference(resolution,status(thm),[c90,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(c16,plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(resolution,status(thm),[c1,element_3]) ).

cnf(c94,plain,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | equalish(e_3,e_1) ),
    inference(resolution,status(thm),[c16,c8]) ).

cnf(c250,plain,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(resolution,status(thm),[c94,e_3_is_not_e_1]) ).

cnf(c251,plain,
    ( product(e_3,e_1,e_3)
    | equalish(e_1,e_2) ),
    inference(resolution,status(thm),[c250,c202]) ).

cnf(c281,plain,
    product(e_3,e_1,e_3),
    inference(resolution,status(thm),[c251,e_1_is_not_e_2]) ).

cnf(c282,plain,
    equalish(e_1,e_3),
    inference(resolution,status(thm),[c281,c6]) ).

cnf(c292,plain,
    $false,
    inference(resolution,status(thm),[c282,e_1_is_not_e_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GRP123-2.003 : TPTP v8.1.0. Released v1.2.0.
% 0.04/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n010.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 06:34:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.41/0.62  # Version:  1.3
% 0.41/0.62  # SZS status Unsatisfiable
% 0.41/0.62  # SZS output start CNFRefutation
% See solution above
% 0.41/0.62  
% 0.41/0.62  # Initial clauses    : 22
% 0.41/0.62  # Processed clauses  : 57
% 0.41/0.62  # Factors computed   : 0
% 0.41/0.62  # Resolvents computed: 293
% 0.41/0.62  # Tautologies deleted: 0
% 0.41/0.62  # Forward subsumed   : 25
% 0.41/0.62  # Backward subsumed  : 8
% 0.41/0.62  # -------- CPU Time ---------
% 0.41/0.62  # User time          : 0.251 s
% 0.41/0.62  # System time        : 0.016 s
% 0.41/0.62  # Total time         : 0.267 s
%------------------------------------------------------------------------------