TSTP Solution File: GRP044-2 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GRP044-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n002.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 17:22:54 EDT 2024

% Result   : Unsatisfiable 0.71s 0.91s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   25 (  12 unt;   0 nHn;  21 RR)
%            Number of literals    :   47 (   0 equ;  23 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   46 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_product_with_b,negated_conjecture,
    ~ product(b,c,result),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_product_with_b) ).

cnf(left_identity,axiom,
    product(identity,X2,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',left_identity) ).

cnf(product_with_a,plain,
    product(a,c,result),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_with_a) ).

cnf(associativity1,axiom,
    ( ~ product(X17,X19,X18)
    | ~ product(X19,X16,X14)
    | ~ product(X18,X16,X15)
    | product(X17,X14,X15) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',associativity1) ).

cnf(c11,plain,
    ( ~ product(X68,X67,a)
    | ~ product(X67,c,X66)
    | product(X68,X66,result) ),
    inference(resolution,[status(thm)],[associativity1,product_with_a]) ).

cnf(c84,plain,
    ( ~ product(X216,identity,a)
    | product(X216,c,result) ),
    inference(resolution,[status(thm)],[c11,left_identity]) ).

cnf(total_function2,axiom,
    ( ~ product(X7,X8,X9)
    | ~ product(X7,X8,X6)
    | equalish(X9,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',total_function2) ).

cnf(c2,plain,
    ( ~ product(identity,X20,X21)
    | equalish(X21,X20) ),
    inference(resolution,[status(thm)],[total_function2,left_identity]) ).

cnf(a_equals_b,plain,
    equalish(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b) ).

cnf(product_substitution3,axiom,
    ( ~ equalish(X38,X39)
    | ~ product(X37,X40,X38)
    | product(X37,X40,X39) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',product_substitution3) ).

cnf(c30,plain,
    ( ~ equalish(X44,X45)
    | product(identity,X44,X45) ),
    inference(resolution,[status(thm)],[product_substitution3,left_identity]) ).

cnf(c33,plain,
    product(identity,a,b),
    inference(resolution,[status(thm)],[c30,a_equals_b]) ).

cnf(c42,plain,
    equalish(b,a),
    inference(resolution,[status(thm)],[c33,c2]) ).

cnf(associativity2,axiom,
    ( ~ product(X30,X32,X31)
    | ~ product(X32,X29,X27)
    | ~ product(X30,X27,X28)
    | product(X31,X29,X28) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',associativity2) ).

cnf(c19,plain,
    ( ~ product(X93,X96,X94)
    | ~ product(X96,X95,X96)
    | product(X94,X95,X94) ),
    inference(factor,[status(thm)],[associativity2]) ).

cnf(c149,plain,
    ( ~ product(X150,identity,X151)
    | product(X151,identity,X151) ),
    inference(resolution,[status(thm)],[c19,left_identity]) ).

cnf(left_inverse,axiom,
    product(inverse(X3),X3,identity),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',left_inverse) ).

cnf(c12,plain,
    ( ~ product(X78,X76,identity)
    | ~ product(X76,X75,X77)
    | product(X78,X77,X75) ),
    inference(resolution,[status(thm)],[associativity1,left_identity]) ).

cnf(c95,plain,
    ( ~ product(X238,inverse(X239),identity)
    | product(X238,identity,X239) ),
    inference(resolution,[status(thm)],[c12,left_inverse]) ).

cnf(c770,plain,
    product(inverse(inverse(X240)),identity,X240),
    inference(resolution,[status(thm)],[c95,left_inverse]) ).

cnf(c794,plain,
    product(X241,identity,X241),
    inference(resolution,[status(thm)],[c770,c149]) ).

cnf(c807,plain,
    ( ~ equalish(X251,X252)
    | product(X251,identity,X252) ),
    inference(resolution,[status(thm)],[c794,product_substitution3]) ).

cnf(c907,plain,
    product(b,identity,a),
    inference(resolution,[status(thm)],[c807,c42]) ).

cnf(c922,plain,
    product(b,c,result),
    inference(resolution,[status(thm)],[c907,c84]) ).

cnf(c954,plain,
    $false,
    inference(resolution,[status(thm)],[c922,prove_product_with_b]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP044-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n002.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  : 300
% 0.13/0.34  % DateTime : Thu May  9 04:29:08 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.71/0.91  % Version:  1.5
% 0.71/0.91  % SZS status Unsatisfiable
% 0.71/0.91  % SZS output start CNFRefutation
% See solution above
% 0.71/0.91  
% 0.71/0.91  % Initial clauses    : 10
% 0.71/0.91  % Processed clauses  : 126
% 0.71/0.91  % Factors computed   : 23
% 0.71/0.91  % Resolvents computed: 935
% 0.71/0.91  % Tautologies deleted: 6
% 0.71/0.91  % Forward subsumed   : 128
% 0.71/0.91  % Backward subsumed  : 3
% 0.71/0.91  % -------- CPU Time ---------
% 0.71/0.91  % User time          : 0.551 s
% 0.71/0.91  % System time        : 0.007 s
% 0.71/0.91  % Total time         : 0.558 s
%------------------------------------------------------------------------------