TSTP Solution File: HWV009-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : HWV009-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %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  : 300s
% DateTime : Thu Aug 31 01:59:59 EDT 2023

% Result   : Unsatisfiable 0.19s 0.60s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   39 (   6 unt;  23 typ;   0 def)
%            Number of atoms       :   28 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  15   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   27 (  19   >;   8   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    n1: $i ).

tff(decl_23,type,
    plus: ( $i * $i ) > $i ).

tff(decl_24,type,
    n0: $i ).

tff(decl_25,type,
    gt: ( $i * $i ) > $o ).

tff(decl_26,type,
    minus: ( $i * $i ) > $i ).

tff(decl_27,type,
    def_10: ( $i * $i ) > $o ).

tff(decl_28,type,
    y_27: $i > $i ).

tff(decl_29,type,
    level: $i > $i ).

tff(decl_30,type,
    int_level: $i > $i ).

tff(decl_31,type,
    fifo_length: $i ).

tff(decl_32,type,
    p_Full: $i > $o ).

tff(decl_33,type,
    p_Empty: $i > $o ).

tff(decl_34,type,
    p_Reset: $i > $o ).

tff(decl_35,type,
    wr_level: $i > $i ).

tff(decl_36,type,
    rd_level: $i > $i ).

tff(decl_37,type,
    p_Wr_error: $i > $o ).

tff(decl_38,type,
    p_Rd_error: $i > $o ).

tff(decl_39,type,
    p_Mem: ( $i * $i * $i ) > $o ).

tff(decl_40,type,
    p_Data_out: ( $i * $i ) > $o ).

tff(decl_41,type,
    p_Wr: $i > $o ).

tff(decl_42,type,
    p_Rd: $i > $o ).

tff(decl_43,type,
    p_Data_in: ( $i * $i ) > $o ).

tff(decl_44,type,
    t_139: $i ).

cnf(axiom_29,axiom,
    ( ~ p_Reset(X1)
    | ~ p_Wr_error(plus(X1,n1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_29) ).

cnf(quest_2,negated_conjecture,
    ( p_Wr_error(plus(t_139,n1))
    | p_Rd_error(plus(t_139,n1))
    | level(plus(t_139,n1)) != n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).

cnf(quest_1,negated_conjecture,
    p_Reset(t_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

cnf(axiom_30,axiom,
    ( ~ p_Reset(X1)
    | ~ p_Rd_error(plus(X1,n1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_30) ).

cnf(axiom_26,axiom,
    ( int_level(plus(X1,n1)) = n0
    | ~ p_Reset(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_26) ).

cnf(axiom_21,axiom,
    level(X1) = int_level(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_21) ).

cnf(c_0_6,axiom,
    ( ~ p_Reset(X1)
    | ~ p_Wr_error(plus(X1,n1)) ),
    axiom_29 ).

cnf(c_0_7,negated_conjecture,
    ( p_Wr_error(plus(t_139,n1))
    | p_Rd_error(plus(t_139,n1))
    | level(plus(t_139,n1)) != n0 ),
    quest_2 ).

cnf(c_0_8,negated_conjecture,
    p_Reset(t_139),
    quest_1 ).

cnf(c_0_9,axiom,
    ( ~ p_Reset(X1)
    | ~ p_Rd_error(plus(X1,n1)) ),
    axiom_30 ).

cnf(c_0_10,negated_conjecture,
    ( p_Rd_error(plus(t_139,n1))
    | level(plus(t_139,n1)) != n0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).

cnf(c_0_11,axiom,
    ( int_level(plus(X1,n1)) = n0
    | ~ p_Reset(X1) ),
    axiom_26 ).

cnf(c_0_12,axiom,
    level(X1) = int_level(X1),
    axiom_21 ).

cnf(c_0_13,negated_conjecture,
    level(plus(t_139,n1)) != n0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_8])]) ).

cnf(c_0_14,plain,
    ( level(plus(X1,n1)) = n0
    | ~ p_Reset(X1) ),
    inference(rw,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : HWV009-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n010.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   : Tue Aug 29 17:03:03 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.57  start to proof: theBenchmark
% 0.19/0.60  % Version  : CSE_E---1.5
% 0.19/0.60  % Problem  : theBenchmark.p
% 0.19/0.60  % Proof found
% 0.19/0.60  % SZS status Theorem for theBenchmark.p
% 0.19/0.60  % SZS output start Proof
% See solution above
% 0.19/0.60  % Total time : 0.013000 s
% 0.19/0.60  % SZS output end Proof
% 0.19/0.60  % Total time : 0.017000 s
%------------------------------------------------------------------------------