%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : REL049-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n028.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 : Thu Aug 31 13:36:29 EDT 2023

% Result   : Unsatisfiable 0.19s 0.59s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   26 (  15 unt;  11 typ;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    8 (   5   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn;   0   !;   0   ?;   0   :)

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

tff(decl_23,type,
    complement: $i > $i ).

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

tff(decl_25,type,
    composition: ( $i * $i ) > $i ).

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

tff(decl_27,type,
    converse: $i > $i ).

tff(decl_28,type,
    top: $i ).

tff(decl_29,type,
    zero: $i ).

tff(decl_30,type,
    sk1: $i ).

tff(decl_31,type,
    sk2: $i ).

tff(decl_32,type,
    sk3: $i ).

cnf(goals_14,negated_conjecture,
    join(sk1,sk2) = sk2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).

cnf(maddux1_join_commutativity_1,axiom,
    join(X1,X2) = join(X2,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).

cnf(goals_16,negated_conjecture,
    join(join(sk1,sk3),sk2) != sk2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_16) ).

cnf(maddux2_join_associativity_2,axiom,
    join(X1,join(X2,X3)) = join(join(X1,X2),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).

cnf(goals_15,negated_conjecture,
    join(sk3,sk2) = sk2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).

cnf(c_0_5,negated_conjecture,
    join(sk1,sk2) = sk2,
    goals_14 ).

cnf(c_0_6,axiom,
    join(X1,X2) = join(X2,X1),
    maddux1_join_commutativity_1 ).

cnf(c_0_7,negated_conjecture,
    join(join(sk1,sk3),sk2) != sk2,
    goals_16 ).

cnf(c_0_8,axiom,
    join(X1,join(X2,X3)) = join(join(X1,X2),X3),
    maddux2_join_associativity_2 ).

cnf(c_0_9,negated_conjecture,
    join(sk2,sk1) = sk2,
    inference(rw,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    join(sk3,sk2) = sk2,
    goals_15 ).

cnf(c_0_11,negated_conjecture,
    join(sk2,join(sk1,sk3)) != sk2,
    inference(rw,[status(thm)],[c_0_7,c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    join(sk2,join(sk1,X1)) = join(sk2,X1),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    join(sk2,sk3) = sk2,
    inference(rw,[status(thm)],[c_0_10,c_0_6]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : REL049-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.16/0.34  % Computer : n028.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit   : 300
% 0.16/0.34  % WCLimit    : 300
% 0.16/0.34  % DateTime   : Fri Aug 25 19:51:36 EDT 2023
% 0.16/0.34  % CPUTime  : 
% 0.19/0.57  start to proof: theBenchmark
% 0.19/0.59  % Version  : CSE_E---1.5
% 0.19/0.59  % Problem  : theBenchmark.p
% 0.19/0.59  % Proof found
% 0.19/0.59  % SZS status Theorem for theBenchmark.p
% 0.19/0.59  % SZS output start Proof
% See solution above
% 0.19/0.59  % Total time : 0.005000 s
% 0.19/0.59  % SZS output end Proof
% 0.19/0.59  % Total time : 0.006000 s
%------------------------------------------------------------------------------