TSTP Solution File: SYN652-1 by CSE

TSTP Solution File: SYN652-1 by CSE_E---1.5

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN652-1 : 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 : n017.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 01:53:38 EDT 2023

% Result   : Unsatisfiable 0.19s 0.66s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   46
% Syntax   : Number of formulae    :   64 (  17 unt;  37 typ;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   36 (  19   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   52 (  26   >;  26   *;   0   +;   0  <<)
%            Number of predicates  :   17 (  16 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  11 con; 0-2 aty)
%            Number of variables   :   38 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    p11: ( $i * $i ) > $o ).

tff(decl_23,type,
    p9: ( $i * $i ) > $o ).

tff(decl_24,type,
    p7: ( $i * $i ) > $o ).

tff(decl_25,type,
    p6: ( $i * $i ) > $o ).

tff(decl_26,type,
    p4: ( $i * $i ) > $o ).

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

tff(decl_28,type,
    p25: ( $i * $i ) > $o ).

tff(decl_29,type,
    p23: ( $i * $i ) > $o ).

tff(decl_30,type,
    p21: ( $i * $i ) > $o ).

tff(decl_31,type,
    p2: ( $i * $i ) > $o ).

tff(decl_32,type,
    p19: ( $i * $i ) > $o ).

tff(decl_33,type,
    p18: ( $i * $i ) > $o ).

tff(decl_34,type,
    p16: ( $i * $i ) > $o ).

tff(decl_35,type,
    p14: ( $i * $i ) > $o ).

tff(decl_36,type,
    p12: ( $i * $i ) > $o ).

tff(decl_37,type,
    c34: $i ).

tff(decl_38,type,
    c35: $i ).

tff(decl_39,type,
    c32: $i ).

tff(decl_40,type,
    f5: ( $i * $i ) > $i ).

tff(decl_41,type,
    c28: $i ).

tff(decl_42,type,
    c29: $i ).

tff(decl_43,type,
    c30: $i ).

tff(decl_44,type,
    f13: ( $i * $i ) > $i ).

tff(decl_45,type,
    f10: ( $i * $i ) > $i ).

tff(decl_46,type,
    f8: ( $i * $i ) > $i ).

tff(decl_47,type,
    c33: $i ).

tff(decl_48,type,
    p27: ( $i * $i ) > $o ).

tff(decl_49,type,
    c31: $i ).

tff(decl_50,type,
    c36: $i ).

tff(decl_51,type,
    f17: ( $i * $i ) > $i ).

tff(decl_52,type,
    f15: ( $i * $i ) > $i ).

tff(decl_53,type,
    f26: ( $i * $i ) > $i ).

tff(decl_54,type,
    f22: ( $i * $i ) > $i ).

tff(decl_55,type,
    f24: ( $i * $i ) > $i ).

tff(decl_56,type,
    f20: ( $i * $i ) > $i ).

tff(decl_57,type,
    c37: $i ).

tff(decl_58,type,
    c38: $i ).

cnf(p4_46,negated_conjecture,
    ( p4(f5(c31,X1),f5(c31,X2))
    | ~ p27(f8(f10(c28,f13(c29,c30)),X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_46) ).

cnf(p27_17,negated_conjecture,
    p27(f8(f10(c28,f13(c29,c30)),c32),c33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_17) ).

cnf(p4_23,negated_conjecture,
    ( p4(X1,X2)
    | ~ p4(X3,X1)
    | ~ p4(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_23) ).

cnf(p4_5,negated_conjecture,
    p4(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).

cnf(p4_34,negated_conjecture,
    p4(f15(f17(c36,X1),f5(c35,X2)),f5(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_34) ).

cnf(p4_41,negated_conjecture,
    ( p4(f15(X1,X2),f15(X3,X4))
    | ~ p14(X1,X3)
    | ~ p4(X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_41) ).

cnf(p4_16,negated_conjecture,
    p4(c34,f5(c35,c32)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_16) ).

cnf(not_p4_18,negated_conjecture,
    ~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_18) ).

cnf(p14_14,negated_conjecture,
    p14(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_14) ).

cnf(c_0_9,negated_conjecture,
    ( p4(f5(c31,X1),f5(c31,X2))
    | ~ p27(f8(f10(c28,f13(c29,c30)),X1),X2) ),
    p4_46 ).

cnf(c_0_10,negated_conjecture,
    p27(f8(f10(c28,f13(c29,c30)),c32),c33),
    p27_17 ).

cnf(c_0_11,negated_conjecture,
    ( p4(X1,X2)
    | ~ p4(X3,X1)
    | ~ p4(X3,X2) ),
    p4_23 ).

cnf(c_0_12,negated_conjecture,
    p4(X1,X1),
    p4_5 ).

cnf(c_0_13,negated_conjecture,
    p4(f5(c31,c32),f5(c31,c33)),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    ( p4(X1,X2)
    | ~ p4(X2,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    p4(f15(f17(c36,X1),f5(c35,X2)),f5(X1,X2)),
    p4_34 ).

cnf(c_0_16,negated_conjecture,
    ( p4(f15(X1,X2),f15(X3,X4))
    | ~ p14(X1,X3)
    | ~ p4(X2,X4) ),
    p4_41 ).

cnf(c_0_17,negated_conjecture,
    ( p4(X1,f5(c31,c33))
    | ~ p4(f5(c31,c32),X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_13]) ).

cnf(c_0_18,negated_conjecture,
    p4(f5(X1,X2),f15(f17(c36,X1),f5(c35,X2))),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    ( p4(X1,f15(X2,X3))
    | ~ p14(X4,X2)
    | ~ p4(f15(X4,X5),X1)
    | ~ p4(X5,X3) ),
    inference(spm,[status(thm)],[c_0_11,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    p4(f15(f17(c36,c31),f5(c35,c32)),f5(c31,c33)),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,negated_conjecture,
    p4(c34,f5(c35,c32)),
    p4_16 ).

cnf(c_0_22,negated_conjecture,
    ~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
    not_p4_18 ).

cnf(c_0_23,negated_conjecture,
    ( p4(f5(c31,c33),f15(X1,X2))
    | ~ p14(f17(c36,c31),X1)
    | ~ p4(f5(c35,c32),X2) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,negated_conjecture,
    p14(X1,X1),
    p14_14 ).

cnf(c_0_25,negated_conjecture,
    p4(f5(c35,c32),c34),
    inference(spm,[status(thm)],[c_0_14,c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN652-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sat Aug 26 19:04:11 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.58  start to proof: theBenchmark
% 0.19/0.66  % Version  : CSE_E---1.5
% 0.19/0.66  % Problem  : theBenchmark.p
% 0.19/0.66  % Proof found
% 0.19/0.66  % SZS status Theorem for theBenchmark.p
% 0.19/0.66  % SZS output start Proof
% See solution above
% 0.19/0.67  % Total time : 0.079000 s
% 0.19/0.67  % SZS output end Proof
% 0.19/0.67  % Total time : 0.081000 s
%------------------------------------------------------------------------------