TSTP Solution File: GRP123-7.003 by PyRes---1.5

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GRP123-7.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n008.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  : 300s
% DateTime : Thu May  9 17:23:03 EDT 2024

% Result   : Unsatisfiable 0.44s 0.60s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   32 (  14 unt;  10 nHn;  30 RR)
%            Number of literals    :   63 (   0 equ;  19 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(e_1_is_not_e_3,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).

cnf(product2_idempotence,axiom,
    product2(X3,X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_idempotence) ).

cnf(product2_total_function2,axiom,
    ( ~ product2(X43,X45,X44)
    | ~ product2(X43,X45,X42)
    | equalish(X44,X42) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_total_function2) ).

cnf(c19,plain,
    ( ~ product2(X49,X49,X50)
    | equalish(X50,X49) ),
    inference(resolution,[status(thm)],[product2_total_function2,product2_idempotence]) ).

cnf(qg1a,negated_conjecture,
    ( ~ product1(X67,X68,X66)
    | ~ product1(X66,X68,X69)
    | product2(X69,X67,X68) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1a) ).

cnf(e_1_is_not_e_2,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).

cnf(product1_idempotence,axiom,
    product1(X2,X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_idempotence) ).

cnf(product1_right_cancellation,axiom,
    ( ~ product1(X21,X22,X23)
    | ~ product1(X21,X20,X23)
    | equalish(X22,X20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_right_cancellation) ).

cnf(c9,plain,
    ( ~ product1(X27,X28,X27)
    | equalish(X28,X27) ),
    inference(resolution,[status(thm)],[product1_right_cancellation,product1_idempotence]) ).

cnf(e_2_is_not_e_1,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).

cnf(product1_left_cancellation,axiom,
    ( ~ product1(X32,X33,X31)
    | ~ product1(X30,X33,X31)
    | equalish(X32,X30) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_left_cancellation) ).

cnf(c12,plain,
    ( ~ product1(X40,X39,X39)
    | equalish(X40,X39) ),
    inference(resolution,[status(thm)],[product1_left_cancellation,product1_idempotence]) ).

cnf(element_2,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).

cnf(element_1,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).

cnf(product1_total_function1,axiom,
    ( ~ group_element(X7)
    | ~ group_element(X8)
    | product1(X7,X8,e_1)
    | product1(X7,X8,e_2)
    | product1(X7,X8,e_3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_total_function1) ).

cnf(c1,plain,
    ( ~ group_element(X84)
    | product1(X84,e_1,e_1)
    | product1(X84,e_1,e_2)
    | product1(X84,e_1,e_3) ),
    inference(resolution,[status(thm)],[product1_total_function1,element_1]) ).

cnf(c38,plain,
    ( product1(e_2,e_1,e_1)
    | product1(e_2,e_1,e_2)
    | product1(e_2,e_1,e_3) ),
    inference(resolution,[status(thm)],[c1,element_2]) ).

cnf(c55,plain,
    ( product1(e_2,e_1,e_2)
    | product1(e_2,e_1,e_3)
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[c38,c12]) ).

cnf(c97,plain,
    ( product1(e_2,e_1,e_2)
    | product1(e_2,e_1,e_3) ),
    inference(resolution,[status(thm)],[c55,e_2_is_not_e_1]) ).

cnf(c98,plain,
    ( product1(e_2,e_1,e_3)
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[c97,c9]) ).

cnf(c112,plain,
    product1(e_2,e_1,e_3),
    inference(resolution,[status(thm)],[c98,e_1_is_not_e_2]) ).

cnf(c115,plain,
    ( ~ product1(X93,e_1,e_2)
    | product2(e_3,X93,e_1) ),
    inference(resolution,[status(thm)],[c112,qg1a]) ).

cnf(e_3_is_not_e_1,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).

cnf(element_3,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).

cnf(c39,plain,
    ( product1(e_3,e_1,e_1)
    | product1(e_3,e_1,e_2)
    | product1(e_3,e_1,e_3) ),
    inference(resolution,[status(thm)],[c1,element_3]) ).

cnf(c71,plain,
    ( product1(e_3,e_1,e_2)
    | product1(e_3,e_1,e_3)
    | equalish(e_3,e_1) ),
    inference(resolution,[status(thm)],[c39,c12]) ).

cnf(c182,plain,
    ( product1(e_3,e_1,e_2)
    | product1(e_3,e_1,e_3) ),
    inference(resolution,[status(thm)],[c71,e_3_is_not_e_1]) ).

cnf(c205,plain,
    ( product1(e_3,e_1,e_2)
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[c182,c9]) ).

cnf(c217,plain,
    product1(e_3,e_1,e_2),
    inference(resolution,[status(thm)],[c205,e_1_is_not_e_3]) ).

cnf(c218,plain,
    product2(e_3,e_3,e_1),
    inference(resolution,[status(thm)],[c217,c115]) ).

cnf(c225,plain,
    equalish(e_1,e_3),
    inference(resolution,[status(thm)],[c218,c19]) ).

cnf(c227,plain,
    $false,
    inference(resolution,[status(thm)],[c225,e_1_is_not_e_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP123-7.003 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May  9 03:52:53 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.44/0.60  % Version:  1.5
% 0.44/0.60  % SZS status Unsatisfiable
% 0.44/0.60  % SZS output start CNFRefutation
% See solution above
% 0.44/0.60  
% 0.44/0.60  % Initial clauses    : 26
% 0.44/0.60  % Processed clauses  : 64
% 0.44/0.60  % Factors computed   : 9
% 0.44/0.60  % Resolvents computed: 219
% 0.44/0.60  % Tautologies deleted: 0
% 0.44/0.60  % Forward subsumed   : 38
% 0.44/0.60  % Backward subsumed  : 9
% 0.44/0.60  % -------- CPU Time ---------
% 0.44/0.60  % User time          : 0.248 s
% 0.44/0.60  % System time        : 0.013 s
% 0.44/0.60  % Total time         : 0.261 s
%------------------------------------------------------------------------------