%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : COL103-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n032.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 : Wed Aug 30 18:22:40 EDT 2023

% Result   : Unsatisfiable 0.15s 0.49s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   14 (   5 unt;   9 typ;   0 def)
%            Number of atoms       :    5 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (   5   >;   8   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-4 aty)
%            Number of variables   :    6 (   2 sgn;   0   !;   0   ?;   0   :)

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

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

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

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

tff(decl_26,type,
    c_Pair: ( $i * $i * $i * $i ) > $i ).

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

tff(decl_28,type,
    c_Transitive__Closure_Ortrancl: ( $i * $i ) > $i ).

tff(decl_29,type,
    tc_prod: ( $i * $i ) > $i ).

tff(decl_30,type,
    c_in: ( $i * $i * $i ) > $o ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0) ).

cnf(c_0_2,negated_conjecture,
    ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    cls_conjecture_0 ).

cnf(c_0_3,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0 ).

cnf(c_0_4,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2,c_0_3])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : COL103-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit   : 300
% 0.11/0.30  % WCLimit    : 300
% 0.11/0.30  % DateTime   : Sun Aug 27 04:27:44 EDT 2023
% 0.11/0.30  % CPUTime  : 
% 0.15/0.48  start to proof: theBenchmark
% 0.15/0.49  % Version  : CSE_E---1.5
% 0.15/0.49  % Problem  : theBenchmark.p
% 0.15/0.49  % Proof found
% 0.15/0.49  % SZS status Theorem for theBenchmark.p
% 0.15/0.49  % SZS output start Proof
% See solution above
% 0.15/0.50  % Total time : 0.002000 s
% 0.15/0.50  % SZS output end Proof
% 0.15/0.50  % Total time : 0.004000 s
%------------------------------------------------------------------------------