%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN071+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 : n016.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 01:49:55 EDT 2023

% Result   : Theorem 0.23s 0.59s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   17 (   4 unt;   4 typ;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (   7   ~;   8   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn;   0   !;   0   ?;   0   :)

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

tff(decl_23,type,
    b: $i ).

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

tff(decl_25,type,
    d: $i ).

fof(pel48,conjecture,
    ( a = d
    | b = c ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel48) ).

fof(pel48_1,axiom,
    ( a = b
    | c = d ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel48_1) ).

fof(pel48_2,axiom,
    ( a = c
    | b = d ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel48_2) ).

fof(c_0_3,negated_conjecture,
    ~ ( a = d
      | b = c ),
    inference(assume_negation,[status(cth)],[pel48]) ).

fof(c_0_4,negated_conjecture,
    ( a != d
    & b != c ),
    inference(fof_nnf,[status(thm)],[c_0_3]) ).

cnf(c_0_5,negated_conjecture,
    b != c,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_6,plain,
    ( a = b
    | c = d ),
    inference(split_conjunct,[status(thm)],[pel48_1]) ).

cnf(c_0_7,plain,
    ( a = c
    | b = d ),
    inference(split_conjunct,[status(thm)],[pel48_2]) ).

cnf(c_0_8,negated_conjecture,
    a != d,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    ( c = d
    | c != a ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    ( c = a
    | c != d ),
    inference(spm,[status(thm)],[c_0_5,c_0_7]) ).

cnf(c_0_11,plain,
    c = d,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_11])]),c_0_8]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN071+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
% 0.17/0.34  % Computer : n016.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit   : 300
% 0.17/0.34  % WCLimit    : 300
% 0.17/0.34  % DateTime   : Sat Aug 26 18:22:57 EDT 2023
% 0.17/0.34  % CPUTime  : 
% 0.23/0.57  start to proof: theBenchmark
% 0.23/0.59  % Version  : CSE_E---1.5
% 0.23/0.59  % Problem  : theBenchmark.p
% 0.23/0.59  % Proof found
% 0.23/0.59  % SZS status Theorem for theBenchmark.p
% 0.23/0.59  % SZS output start Proof
% See solution above
% 0.23/0.59  % Total time : 0.004000 s
% 0.23/0.59  % SZS output end Proof
% 0.23/0.59  % Total time : 0.005000 s
%------------------------------------------------------------------------------