%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN554-1 : 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 : n025.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 01:53:12 EDT 2023

% Result   : Unsatisfiable 0.20s 0.58s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   32 (  13 unt;   6 typ;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   47 (  25   ~;  22   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   34 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    p2: ( $i * $i ) > $o ).

tff(decl_23,type,
    p4: ( $i * $i ) > $o ).

tff(decl_24,type,
    c6: $i ).

tff(decl_25,type,
    c7: $i ).

tff(decl_26,type,
    c5: $i ).

tff(decl_27,type,
    f3: ( $i * $i ) > $i ).

cnf(p2_6,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X2)
    | ~ p2(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).

cnf(p2_1,negated_conjecture,
    p2(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

cnf(p4_8,negated_conjecture,
    ( p4(X1,X2)
    | ~ p2(X3,X2)
    | ~ p4(X4,X3)
    | ~ p2(X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_8) ).

cnf(p2_4,negated_conjecture,
    p2(f3(c5,c6),f3(c5,c7)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).

cnf(not_p4_2,negated_conjecture,
    ~ p4(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_2) ).

cnf(p4_7,negated_conjecture,
    ( p4(f3(c5,X1),f3(c5,X2))
    | ~ p4(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_7) ).

cnf(p2_5,negated_conjecture,
    ( p2(X1,X2)
    | p4(X1,X2)
    | p4(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).

cnf(not_p2_3,negated_conjecture,
    ~ p2(c6,c7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_3) ).

cnf(c_0_8,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X2)
    | ~ p2(X3,X1) ),
    p2_6 ).

cnf(c_0_9,negated_conjecture,
    p2(X1,X1),
    p2_1 ).

cnf(c_0_10,negated_conjecture,
    ( p4(X1,X2)
    | ~ p2(X3,X2)
    | ~ p4(X4,X3)
    | ~ p2(X4,X1) ),
    p4_8 ).

cnf(c_0_11,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X2,X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    p2(f3(c5,c6),f3(c5,c7)),
    p2_4 ).

cnf(c_0_13,negated_conjecture,
    ( p4(X1,X2)
    | ~ p4(X1,X3)
    | ~ p2(X3,X2) ),
    inference(spm,[status(thm)],[c_0_10,c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    p2(f3(c5,c7),f3(c5,c6)),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    ~ p4(X1,X1),
    not_p4_2 ).

cnf(c_0_16,negated_conjecture,
    ( p4(X1,f3(c5,c7))
    | ~ p4(X1,f3(c5,c6)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    ( p4(X1,f3(c5,c6))
    | ~ p4(X1,f3(c5,c7)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    ( p4(f3(c5,X1),f3(c5,X2))
    | ~ p4(X1,X2) ),
    p4_7 ).

cnf(c_0_19,negated_conjecture,
    ~ p4(f3(c5,c7),f3(c5,c6)),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    ( p4(f3(c5,X1),f3(c5,c6))
    | ~ p4(X1,c7) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,negated_conjecture,
    ~ p4(c7,c6),
    inference(spm,[status(thm)],[c_0_19,c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    ( p2(X1,X2)
    | p4(X1,X2)
    | p4(X2,X1) ),
    p2_5 ).

cnf(c_0_23,negated_conjecture,
    ~ p2(c6,c7),
    not_p2_3 ).

cnf(c_0_24,negated_conjecture,
    ~ p4(c6,c7),
    inference(spm,[status(thm)],[c_0_15,c_0_20]) ).

cnf(c_0_25,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN554-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n025.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 19:09:08 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.56  start to proof: theBenchmark
% 0.20/0.58  % Version  : CSE_E---1.5
% 0.20/0.58  % Problem  : theBenchmark.p
% 0.20/0.58  % Proof found
% 0.20/0.58  % SZS status Theorem for theBenchmark.p
% 0.20/0.58  % SZS output start Proof
% See solution above
% 0.20/0.58  % Total time : 0.005000 s
% 0.20/0.58  % SZS output end Proof
% 0.20/0.58  % Total time : 0.008000 s
%------------------------------------------------------------------------------