%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN054+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n018.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 01:49:21 EDT 2023

% Result   : Theorem 0.20s 0.57s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   26 (   4 unt;   6 typ;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   40 (  18   ~;  15   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   17 (   2 sgn;   6   !;   5   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    big_s: $i > $o ).

tff(decl_23,type,
    big_q: $i > $o ).

tff(decl_24,type,
    big_p: $i > $o ).

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

tff(decl_26,type,
    esk1_0: $i ).

tff(decl_27,type,
    esk2_0: $i ).

fof(pel24_4,axiom,
    ! [X1] :
      ( ( big_q(X1)
        | big_r(X1) )
     => big_s(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_4) ).

fof(pel24_1,axiom,
    ~ ? [X1] :
        ( big_s(X1)
        & big_q(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_1) ).

fof(pel24,conjecture,
    ? [X1] :
      ( big_p(X1)
      & big_r(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24) ).

fof(pel24_3,axiom,
    ( ~ ? [X1] : big_p(X1)
   => ? [X2] : big_q(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_3) ).

fof(pel24_2,axiom,
    ! [X1] :
      ( big_p(X1)
     => ( big_q(X1)
        | big_r(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_2) ).

fof(c_0_5,plain,
    ! [X7] :
      ( ( ~ big_q(X7)
        | big_s(X7) )
      & ( ~ big_r(X7)
        | big_s(X7) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel24_4])])]) ).

fof(c_0_6,plain,
    ! [X3] :
      ( ~ big_s(X3)
      | ~ big_q(X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel24_1])]) ).

fof(c_0_7,negated_conjecture,
    ~ ? [X1] :
        ( big_p(X1)
        & big_r(X1) ),
    inference(assume_negation,[status(cth)],[pel24]) ).

fof(c_0_8,plain,
    ( big_p(esk1_0)
    | big_q(esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel24_3])])]) ).

cnf(c_0_9,plain,
    ( big_s(X1)
    | ~ big_q(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,plain,
    ( ~ big_s(X1)
    | ~ big_q(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_11,plain,
    ! [X4] :
      ( ~ big_p(X4)
      | big_q(X4)
      | big_r(X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel24_2])]) ).

fof(c_0_12,negated_conjecture,
    ! [X8] :
      ( ~ big_p(X8)
      | ~ big_r(X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).

cnf(c_0_13,plain,
    ( big_p(esk1_0)
    | big_q(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    ~ big_q(X1),
    inference(csr,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_15,plain,
    ( big_q(X1)
    | big_r(X1)
    | ~ big_p(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,negated_conjecture,
    ( ~ big_p(X1)
    | ~ big_r(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    big_p(esk1_0),
    inference(sr,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,plain,
    ~ big_p(X1),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_15,c_0_14]),c_0_16]) ).

cnf(c_0_19,plain,
    $false,
    inference(sr,[status(thm)],[c_0_17,c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN054+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n018.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   : Sat Aug 26 22:04:30 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.55  start to proof: theBenchmark
% 0.20/0.57  % Version  : CSE_E---1.5
% 0.20/0.57  % Problem  : theBenchmark.p
% 0.20/0.57  % Proof found
% 0.20/0.57  % SZS status Theorem for theBenchmark.p
% 0.20/0.57  % SZS output start Proof
% See solution above
% 0.20/0.57  % Total time : 0.005000 s
% 0.20/0.57  % SZS output end Proof
% 0.20/0.57  % Total time : 0.007000 s
%------------------------------------------------------------------------------