TSTP Solution File: SYN003-1.006 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN003-1.006 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n006.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 : Fri Sep  1 01:48:23 EDT 2023

% Result   : Unsatisfiable 0.21s 0.64s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   54 (  16 unt;  18 typ;   0 def)
%            Number of atoms       :   66 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   62 (  32   ~;  30   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  18 usr;  19 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    p_1: $o ).

tff(decl_23,type,
    q_1: $o ).

tff(decl_24,type,
    p_2: $o ).

tff(decl_25,type,
    q_2: $o ).

tff(decl_26,type,
    p_3: $o ).

tff(decl_27,type,
    q_3: $o ).

tff(decl_28,type,
    p_4: $o ).

tff(decl_29,type,
    q_4: $o ).

tff(decl_30,type,
    p_5: $o ).

tff(decl_31,type,
    q_5: $o ).

tff(decl_32,type,
    p_6: $o ).

tff(decl_33,type,
    r_1: $o ).

tff(decl_34,type,
    r_2: $o ).

tff(decl_35,type,
    r_3: $o ).

tff(decl_36,type,
    r_4: $o ).

tff(decl_37,type,
    r_5: $o ).

tff(decl_38,type,
    q: $o ).

tff(decl_39,type,
    r: $o ).

cnf(qq_1,negated_conjecture,
    ( q_1
    | ~ q ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',qq_1) ).

cnf(base_3,negated_conjecture,
    q,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',base_3) ).

cnf(pqp_1,negated_conjecture,
    ( p_2
    | ~ p_1
    | ~ q_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_1) ).

cnf(base_1,negated_conjecture,
    p_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',base_1) ).

cnf(qq_2,negated_conjecture,
    ( q_2
    | ~ q ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',qq_2) ).

cnf(pqp_2,negated_conjecture,
    ( p_3
    | ~ p_2
    | ~ q_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_2) ).

cnf(qq_3,negated_conjecture,
    ( q_3
    | ~ q ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',qq_3) ).

cnf(pqp_3,negated_conjecture,
    ( p_4
    | ~ p_3
    | ~ q_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_3) ).

cnf(qq_4,negated_conjecture,
    ( q_4
    | ~ q ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',qq_4) ).

cnf(pqp_4,negated_conjecture,
    ( p_5
    | ~ p_4
    | ~ q_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_4) ).

cnf(qq_5,negated_conjecture,
    ( q_5
    | ~ q ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',qq_5) ).

cnf(pqp_5,negated_conjecture,
    ( p_6
    | ~ p_5
    | ~ q_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_5) ).

cnf(base_2,negated_conjecture,
    ~ p_6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',base_2) ).

cnf(c_0_13,negated_conjecture,
    ( q_1
    | ~ q ),
    qq_1 ).

cnf(c_0_14,negated_conjecture,
    q,
    base_3 ).

cnf(c_0_15,negated_conjecture,
    ( p_2
    | ~ p_1
    | ~ q_1 ),
    pqp_1 ).

cnf(c_0_16,negated_conjecture,
    p_1,
    base_1 ).

cnf(c_0_17,negated_conjecture,
    q_1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).

cnf(c_0_18,negated_conjecture,
    ( q_2
    | ~ q ),
    qq_2 ).

cnf(c_0_19,negated_conjecture,
    ( p_3
    | ~ p_2
    | ~ q_2 ),
    pqp_2 ).

cnf(c_0_20,negated_conjecture,
    p_2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).

cnf(c_0_21,negated_conjecture,
    q_2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_14])]) ).

cnf(c_0_22,negated_conjecture,
    ( q_3
    | ~ q ),
    qq_3 ).

cnf(c_0_23,negated_conjecture,
    ( p_4
    | ~ p_3
    | ~ q_3 ),
    pqp_3 ).

cnf(c_0_24,negated_conjecture,
    p_3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).

cnf(c_0_25,negated_conjecture,
    q_3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_14])]) ).

cnf(c_0_26,negated_conjecture,
    ( q_4
    | ~ q ),
    qq_4 ).

cnf(c_0_27,negated_conjecture,
    ( p_5
    | ~ p_4
    | ~ q_4 ),
    pqp_4 ).

cnf(c_0_28,negated_conjecture,
    p_4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

cnf(c_0_29,negated_conjecture,
    q_4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_14])]) ).

cnf(c_0_30,negated_conjecture,
    ( q_5
    | ~ q ),
    qq_5 ).

cnf(c_0_31,negated_conjecture,
    ( p_6
    | ~ p_5
    | ~ q_5 ),
    pqp_5 ).

cnf(c_0_32,negated_conjecture,
    p_5,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).

cnf(c_0_33,negated_conjecture,
    q_5,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_14])]) ).

cnf(c_0_34,negated_conjecture,
    ~ p_6,
    base_2 ).

cnf(c_0_35,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32]),c_0_33])]),c_0_34]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN003-1.006 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.34  % Computer : n006.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Sat Aug 26 16:58:37 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.21/0.63  start to proof: theBenchmark
% 0.21/0.64  % Version  : CSE_E---1.5
% 0.21/0.64  % Problem  : theBenchmark.p
% 0.21/0.64  % Proof found
% 0.21/0.64  % SZS status Theorem for theBenchmark.p
% 0.21/0.64  % SZS output start Proof
% See solution above
% 0.21/0.64  % Total time : 0.003000 s
% 0.21/0.64  % SZS output end Proof
% 0.21/0.64  % Total time : 0.005000 s
%------------------------------------------------------------------------------