TSTP Solution File: SYN659-1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN659-1 : 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 : n016.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 01:53:39 EDT 2023

% Result   : Unsatisfiable 0.70s 0.83s
% Output   : CNFRefutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   48
% Syntax   : Number of formulae    :   62 (  12 unt;  40 typ;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   46 (  24   ~;  22   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   43 (  25   >;  18   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  14 usr;   1 prp; 0-3 aty)
%            Number of functors    :   26 (  26 usr;  15 con; 0-2 aty)
%            Number of variables   :   38 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    c27: $i ).

tff(decl_23,type,
    p22: $i > $o ).

tff(decl_24,type,
    p10: ( $i * $i ) > $o ).

tff(decl_25,type,
    p7: ( $i * $i ) > $o ).

tff(decl_26,type,
    p6: ( $i * $i ) > $o ).

tff(decl_27,type,
    p3: ( $i * $i ) > $o ).

tff(decl_28,type,
    p20: ( $i * $i ) > $o ).

tff(decl_29,type,
    p2: ( $i * $i ) > $o ).

tff(decl_30,type,
    p19: ( $i * $i ) > $o ).

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

tff(decl_32,type,
    p12: ( $i * $i ) > $o ).

tff(decl_33,type,
    c41: $i ).

tff(decl_34,type,
    c38: $i ).

tff(decl_35,type,
    c31: $i ).

tff(decl_36,type,
    f16: $i > $i ).

tff(decl_37,type,
    c32: $i ).

tff(decl_38,type,
    c28: $i ).

tff(decl_39,type,
    f8: $i > $i ).

tff(decl_40,type,
    c29: $i ).

tff(decl_41,type,
    c36: $i ).

tff(decl_42,type,
    f17: $i > $i ).

tff(decl_43,type,
    c33: $i ).

tff(decl_44,type,
    c37: $i ).

tff(decl_45,type,
    c34: $i ).

tff(decl_46,type,
    f18: $i > $i ).

tff(decl_47,type,
    c35: $i ).

tff(decl_48,type,
    f5: $i > $i ).

tff(decl_49,type,
    f4: $i > $i ).

tff(decl_50,type,
    p23: ( $i * $i * $i ) > $o ).

tff(decl_51,type,
    f9: $i > $i ).

tff(decl_52,type,
    c40: $i ).

tff(decl_53,type,
    f13: ( $i * $i ) > $i ).

tff(decl_54,type,
    f15: ( $i * $i ) > $i ).

tff(decl_55,type,
    p24: ( $i * $i ) > $o ).

tff(decl_56,type,
    c39: $i ).

tff(decl_57,type,
    p26: ( $i * $i ) > $o ).

tff(decl_58,type,
    p25: ( $i * $i ) > $o ).

tff(decl_59,type,
    f21: ( $i * $i ) > $i ).

tff(decl_60,type,
    f11: ( $i * $i ) > $i ).

tff(decl_61,type,
    c30: $i ).

cnf(p24_41,negated_conjecture,
    ( p24(X1,X2)
    | ~ p14(X3,X1)
    | ~ p24(X3,X4)
    | ~ p12(X4,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_41) ).

cnf(p12_10,negated_conjecture,
    p12(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_10) ).

cnf(p14_45,negated_conjecture,
    ( p14(f15(X1,X2),f15(X3,X4))
    | ~ p12(X2,X4)
    | ~ p7(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_45) ).

cnf(p12_38,negated_conjecture,
    ( p12(X1,X2)
    | ~ p12(X3,X1)
    | ~ p12(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_38) ).

cnf(p24_27,negated_conjecture,
    p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_27) ).

cnf(p12_29,negated_conjecture,
    p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_29) ).

cnf(not_p24_39,negated_conjecture,
    ~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p24_39) ).

cnf(p7_3,negated_conjecture,
    p7(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).

cnf(c_0_8,negated_conjecture,
    ( p24(X1,X2)
    | ~ p14(X3,X1)
    | ~ p24(X3,X4)
    | ~ p12(X4,X2) ),
    p24_41 ).

cnf(c_0_9,negated_conjecture,
    p12(X1,X1),
    p12_10 ).

cnf(c_0_10,negated_conjecture,
    ( p24(X1,X2)
    | ~ p24(X3,X2)
    | ~ p14(X3,X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,negated_conjecture,
    ( p14(f15(X1,X2),f15(X3,X4))
    | ~ p12(X2,X4)
    | ~ p7(X1,X3) ),
    p14_45 ).

cnf(c_0_12,negated_conjecture,
    ( p12(X1,X2)
    | ~ p12(X3,X1)
    | ~ p12(X3,X2) ),
    p12_38 ).

cnf(c_0_13,negated_conjecture,
    ( p24(f15(X1,X2),X3)
    | ~ p24(f15(X4,X5),X3)
    | ~ p12(X5,X2)
    | ~ p7(X4,X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
    p24_27 ).

cnf(c_0_15,negated_conjecture,
    ( p12(X1,X2)
    | ~ p12(X2,X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_9]) ).

cnf(c_0_16,negated_conjecture,
    p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
    p12_29 ).

cnf(c_0_17,negated_conjecture,
    ~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
    not_p24_39 ).

cnf(c_0_18,negated_conjecture,
    ( p24(f15(X1,X2),f13(c32,c33))
    | ~ p12(f13(c40,c41),X2)
    | ~ p7(c29,X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    p12(f13(c40,c41),f13(f16(c39),f17(c39))),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    p7(X1,X1),
    p7_3 ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN659-1 : 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
% 0.17/0.34  % Computer : n016.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit   : 300
% 0.17/0.34  % WCLimit    : 300
% 0.17/0.34  % DateTime   : Sat Aug 26 20:48:42 EDT 2023
% 0.17/0.34  % CPUTime  : 
% 0.20/0.55  start to proof: theBenchmark
% 0.70/0.83  % Version  : CSE_E---1.5
% 0.70/0.83  % Problem  : theBenchmark.p
% 0.70/0.83  % Proof found
% 0.70/0.83  % SZS status Theorem for theBenchmark.p
% 0.70/0.83  % SZS output start Proof
% See solution above
% 0.70/0.84  % Total time : 0.258000 s
% 0.70/0.84  % SZS output end Proof
% 0.70/0.84  % Total time : 0.261000 s
%------------------------------------------------------------------------------