TSTP Solution File: SYN589-1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN589-1 : 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 : n009.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 01:53:21 EDT 2023

% Result   : Unsatisfiable 0.49s 0.57s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   34 (   7 unt;  24 typ;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    9 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   23 (  14   >;   9   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  10 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn;   0   !;   0   ?;   0   :)

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

tff(decl_23,type,
    p7: ( $i * $i ) > $o ).

tff(decl_24,type,
    c21: $i ).

tff(decl_25,type,
    c17: $i ).

tff(decl_26,type,
    f3: $i > $i ).

tff(decl_27,type,
    c16: $i ).

tff(decl_28,type,
    c18: $i ).

tff(decl_29,type,
    f5: $i > $i ).

tff(decl_30,type,
    f4: $i > $i ).

tff(decl_31,type,
    p14: ( $i * $i ) > $o ).

tff(decl_32,type,
    c23: $i ).

tff(decl_33,type,
    c19: $i ).

tff(decl_34,type,
    f6: ( $i * $i ) > $i ).

tff(decl_35,type,
    c24: $i ).

tff(decl_36,type,
    f12: $i > $i ).

tff(decl_37,type,
    f11: $i > $i ).

tff(decl_38,type,
    f13: ( $i * $i ) > $i ).

tff(decl_39,type,
    p15: ( $i * $i ) > $o ).

tff(decl_40,type,
    f9: ( $i * $i ) > $i ).

tff(decl_41,type,
    f8: ( $i * $i ) > $i ).

tff(decl_42,type,
    f10: ( $i * $i ) > $i ).

tff(decl_43,type,
    c20: $i ).

tff(decl_44,type,
    c25: $i ).

tff(decl_45,type,
    c22: $i ).

cnf(p7_14,negated_conjecture,
    ( p7(X1,X2)
    | ~ p7(X3,X1)
    | ~ p7(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_14) ).

cnf(p7_24,negated_conjecture,
    p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_24) ).

cnf(not_p7_26,negated_conjecture,
    ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p7_26) ).

cnf(p7_25,negated_conjecture,
    p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_25) ).

cnf(c_0_4,negated_conjecture,
    ( p7(X1,X2)
    | ~ p7(X3,X1)
    | ~ p7(X3,X2) ),
    p7_14 ).

cnf(c_0_5,negated_conjecture,
    p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
    p7_24 ).

cnf(c_0_6,negated_conjecture,
    ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
    not_p7_26 ).

cnf(c_0_7,negated_conjecture,
    ( p7(X1,f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22)))))
    | ~ p7(c20,X1) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
    p7_25 ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN589-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n009.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 17:20:50 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.49/0.55  start to proof: theBenchmark
% 0.49/0.57  % Version  : CSE_E---1.5
% 0.49/0.57  % Problem  : theBenchmark.p
% 0.49/0.57  % Proof found
% 0.49/0.57  % SZS status Theorem for theBenchmark.p
% 0.49/0.57  % SZS output start Proof
% See solution above
% 0.49/0.57  % Total time : 0.012000 s
% 0.49/0.57  % SZS output end Proof
% 0.49/0.57  % Total time : 0.015000 s
%------------------------------------------------------------------------------