TSTP Solution File: SYN621-1 by CSE

TSTP Solution File: SYN621-1 by CSE_E---1.5

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN621-1 : 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 : n021.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 01:53:30 EDT 2023

% Result   : Unsatisfiable 0.22s 0.65s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   36
% Syntax   : Number of formulae    :   52 (   8 unt;  27 typ;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   57 (  28   ~;  29   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   39 (  21   >;  18   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   6 con; 0-4 aty)
%            Number of variables   :   55 (   4 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    p10: ( $i * $i ) > $o ).

tff(decl_23,type,
    p8: ( $i * $i ) > $o ).

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

tff(decl_25,type,
    p4: ( $i * $i ) > $o ).

tff(decl_26,type,
    p2: ( $i * $i ) > $o ).

tff(decl_27,type,
    p13: ( $i * $i ) > $o ).

tff(decl_28,type,
    c23: $i ).

tff(decl_29,type,
    c24: $i ).

tff(decl_30,type,
    f3: $i > $i ).

tff(decl_31,type,
    f14: $i > $i ).

tff(decl_32,type,
    f5: $i > $i ).

tff(decl_33,type,
    f16: $i > $i ).

tff(decl_34,type,
    f18: $i > $i ).

tff(decl_35,type,
    f17: $i > $i ).

tff(decl_36,type,
    p21: ( $i * $i ) > $o ).

tff(decl_37,type,
    p22: ( $i * $i ) > $o ).

tff(decl_38,type,
    f11: ( $i * $i ) > $i ).

tff(decl_39,type,
    f12: ( $i * $i ) > $i ).

tff(decl_40,type,
    f15: ( $i * $i ) > $i ).

tff(decl_41,type,
    f19: ( $i * $i ) > $i ).

tff(decl_42,type,
    f6: ( $i * $i ) > $i ).

tff(decl_43,type,
    f20: ( $i * $i * $i * $i ) > $i ).

tff(decl_44,type,
    f9: ( $i * $i * $i ) > $i ).

tff(decl_45,type,
    c27: $i ).

tff(decl_46,type,
    c25: $i ).

tff(decl_47,type,
    c26: $i ).

tff(decl_48,type,
    c28: $i ).

cnf(p21_21,negated_conjecture,
    ( p21(X1,X2)
    | ~ p4(X3,X1)
    | ~ p4(X4,X2)
    | ~ p21(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_21) ).

cnf(p4_9,negated_conjecture,
    ( p4(f5(X1),f5(X2))
    | ~ p4(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_9) ).

cnf(p21_31,negated_conjecture,
    ( p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,X1)))
    | ~ p22(X1,f14(f11(c25,f12(c23,c26)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_31) ).

cnf(p4_4,negated_conjecture,
    p4(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).

cnf(p2_28,negated_conjecture,
    ( p2(X1,f3(c24))
    | p22(f20(X2,X1,X3,X4),f14(f11(X2,f12(X1,X3)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).

cnf(not_p2_7,negated_conjecture,
    ~ p2(c23,f3(c24)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_7) ).

cnf(p21_18,negated_conjecture,
    ( p21(X1,X2)
    | ~ p21(X1,X3)
    | ~ p21(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_18) ).

cnf(p2_34,negated_conjecture,
    ( p2(X1,f3(c24))
    | p21(f5(f6(X2,f20(X3,X1,X4,X2))),f15(f19(f11(X3,f12(X1,X4)),X2),f16(f3(f17(f18(c24)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_34) ).

cnf(not_p21_32,negated_conjecture,
    ~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p21_32) ).

cnf(c_0_9,negated_conjecture,
    ( p21(X1,X2)
    | ~ p4(X3,X1)
    | ~ p4(X4,X2)
    | ~ p21(X3,X4) ),
    p21_21 ).

cnf(c_0_10,negated_conjecture,
    ( p4(f5(X1),f5(X2))
    | ~ p4(X1,X2) ),
    p4_9 ).

cnf(c_0_11,negated_conjecture,
    ( p21(X1,f5(X2))
    | ~ p21(X3,f5(X4))
    | ~ p4(X3,X1)
    | ~ p4(X4,X2) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,negated_conjecture,
    ( p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,X1)))
    | ~ p22(X1,f14(f11(c25,f12(c23,c26)))) ),
    p21_31 ).

cnf(c_0_13,negated_conjecture,
    ( p21(X1,f5(X2))
    | ~ p22(X3,f14(f11(c25,f12(c23,c26))))
    | ~ p4(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),X1)
    | ~ p4(f6(c27,X3),X2) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_14,negated_conjecture,
    p4(X1,X1),
    p4_4 ).

cnf(c_0_15,negated_conjecture,
    ( p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(X1))
    | ~ p22(X2,f14(f11(c25,f12(c23,c26))))
    | ~ p4(f6(c27,X2),X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_16,negated_conjecture,
    ( p2(X1,f3(c24))
    | p22(f20(X2,X1,X3,X4),f14(f11(X2,f12(X1,X3)))) ),
    p2_28 ).

cnf(c_0_17,negated_conjecture,
    ~ p2(c23,f3(c24)),
    not_p2_7 ).

cnf(c_0_18,negated_conjecture,
    ( p21(X1,X2)
    | ~ p21(X1,X3)
    | ~ p21(X3,X2) ),
    p21_18 ).

cnf(c_0_19,negated_conjecture,
    ( p2(X1,f3(c24))
    | p21(f5(f6(X2,f20(X3,X1,X4,X2))),f15(f19(f11(X3,f12(X1,X4)),X2),f16(f3(f17(f18(c24)))))) ),
    p2_34 ).

cnf(c_0_20,negated_conjecture,
    ( p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(X1))
    | ~ p4(f6(c27,f20(c25,c23,c26,X2)),X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    ( p21(X1,f15(f19(f11(X2,f12(X3,X4)),X5),f16(f3(f17(f18(c24))))))
    | p2(X3,f3(c24))
    | ~ p21(X1,f5(f6(X5,f20(X2,X3,X4,X5)))) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,negated_conjecture,
    p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,X1)))),
    inference(spm,[status(thm)],[c_0_20,c_0_14]) ).

cnf(c_0_23,negated_conjecture,
    ~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
    not_p21_32 ).

cnf(c_0_24,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_17]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SYN621-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36  % Computer : n021.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Sat Aug 26 20:30:57 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 0.22/0.60  start to proof: theBenchmark
% 0.22/0.65  % Version  : CSE_E---1.5
% 0.22/0.65  % Problem  : theBenchmark.p
% 0.22/0.65  % Proof found
% 0.22/0.65  % SZS status Theorem for theBenchmark.p
% 0.22/0.65  % SZS output start Proof
% See solution above
% 0.22/0.66  % Total time : 0.038000 s
% 0.22/0.66  % SZS output end Proof
% 0.22/0.66  % Total time : 0.041000 s
%------------------------------------------------------------------------------