%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN033-1 : 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 : n024.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 01:48:40 EDT 2023

% Result   : Unsatisfiable 0.21s 0.60s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (   8 unt;   4 typ;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   20 (  11   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   4   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   0 con; 1-2 aty)
%            Number of variables   :   33 (   0 sgn;   0   !;   0   ?;   0   :)

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

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

tff(decl_24,type,
    h: ( $i * $i ) > $i ).

tff(decl_25,type,
    k: $i > $i ).

cnf(clause3,axiom,
    ( p(X6,X5,X3)
    | ~ p(X1,X2,X3)
    | ~ p(X4,X5,X2)
    | ~ p(X1,X4,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

cnf(clause2,axiom,
    p(X1,h(X1,X2),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

cnf(clause1,axiom,
    p(g(X1,X2),X1,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

cnf(prove_something,negated_conjecture,
    ~ p(k(X1),X1,k(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_something) ).

cnf(c_0_4,axiom,
    ( p(X6,X5,X3)
    | ~ p(X1,X2,X3)
    | ~ p(X4,X5,X2)
    | ~ p(X1,X4,X6) ),
    clause3 ).

cnf(c_0_5,axiom,
    p(X1,h(X1,X2),X2),
    clause2 ).

cnf(c_0_6,plain,
    ( p(X1,h(X2,X3),X4)
    | ~ p(X5,X2,X1)
    | ~ p(X5,X3,X4) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_7,axiom,
    p(g(X1,X2),X1,X2),
    clause1 ).

cnf(c_0_8,plain,
    ( p(X1,h(X2,X3),X4)
    | ~ p(g(X2,X1),X3,X4) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    ~ p(k(X1),X1,k(X1)),
    prove_something ).

cnf(c_0_10,plain,
    p(X1,h(X2,X2),X1),
    inference(spm,[status(thm)],[c_0_8,c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_9,c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN033-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 17:47:08 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.58  start to proof: theBenchmark
% 0.21/0.60  % Version  : CSE_E---1.5
% 0.21/0.60  % Problem  : theBenchmark.p
% 0.21/0.60  % Proof found
% 0.21/0.60  % SZS status Theorem for theBenchmark.p
% 0.21/0.60  % SZS output start Proof
% See solution above
% 0.21/0.60  % Total time : 0.004000 s
% 0.21/0.60  % SZS output end Proof
% 0.21/0.60  % Total time : 0.006000 s
%------------------------------------------------------------------------------