TSTP Solution File: GEO535+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO535+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% 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  : 600s
% DateTime : Sat Jul 16 04:06:10 EDT 2022

% Result   : Theorem 0.25s 1.42s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   93 (  27 unt;   0 def)
%            Number of atoms       :  259 (  57 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  284 ( 118   ~; 157   |;   9   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-6 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :  286 (  19 sgn 184   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(aSatz11_49a,conjecture,
    ! [X12,X15,X14,X20,X21,X22] :
      ( ~ congruent(X12,X15,X14,X20,X21,X22)
      | ~ s_e(X15,X12,X21,X20)
      | ~ s_e(X15,X14,X21,X22)
      | s_e(X12,X14,X20,X22) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aSatz11_49a) ).

fof(aSatz11_7,axiom,
    ! [X12,X15,X14,X17,X18,X19] :
      ( ~ congruent(X12,X15,X14,X17,X18,X19)
      | congruent(X17,X18,X19,X12,X15,X14) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aSatz11_7) ).

fof(aSatz11_8,axiom,
    ! [X20,X21,X22,X33,X31,X38,X42,X43,X44] :
      ( ~ congruent(X20,X21,X22,X33,X31,X38)
      | ~ congruent(X33,X31,X38,X42,X43,X44)
      | congruent(X20,X21,X22,X42,X43,X44) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aSatz11_8) ).

fof(aSatz11_9,axiom,
    ! [X12,X15,X14] :
      ( X12 = X15
      | X14 = X15
      | congruent(X12,X15,X14,X14,X15,X12) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aSatz11_9) ).

fof(aSatz11_4,axiom,
    ! [X12,X15,X14,X17,X18,X19,X33,X38,X40,X41] :
      ( ~ congruent(X12,X15,X14,X17,X18,X19)
      | ~ sameside(X33,X15,X12)
      | ~ sameside(X38,X15,X14)
      | ~ sameside(X40,X18,X17)
      | ~ sameside(X41,X18,X19)
      | ~ s_e(X15,X33,X18,X40)
      | ~ s_e(X15,X38,X18,X41)
      | s_e(X33,X38,X40,X41) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aSatz11_4) ).

fof(aSatz2_2,axiom,
    ! [X12,X15,X14,X17] :
      ( ~ s_e(X12,X15,X14,X17)
      | s_e(X14,X17,X12,X15) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aSatz2_2) ).

fof(aSatz6_5,axiom,
    ! [X12,X13] :
      ( X12 = X13
      | sameside(X12,X13,X12) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aSatz6_5) ).

fof(d_Defn4_4,axiom,
    ! [X20,X33,X42,X21,X31,X43] :
      ( ( ~ s_e3(X20,X33,X42,X21,X31,X43)
        | s_e(X20,X33,X21,X31) )
      & ( ~ s_e3(X20,X33,X42,X21,X31,X43)
        | s_e(X20,X42,X21,X43) )
      & ( ~ s_e3(X20,X33,X42,X21,X31,X43)
        | s_e(X33,X42,X31,X43) )
      & ( ~ s_e(X20,X33,X21,X31)
        | ~ s_e(X20,X42,X21,X43)
        | ~ s_e(X33,X42,X31,X43)
        | s_e3(X20,X33,X42,X21,X31,X43) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d_Defn4_4) ).

fof(aSatz2_14,axiom,
    ! [X12,X15,X14,X17] :
      ( ~ s_e(X12,X15,X14,X17)
      | s_e(X15,X12,X17,X14) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aSatz2_14) ).

fof(aA2,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ~ s_e(X1,X2,X3,X4)
      | ~ s_e(X1,X2,X5,X6)
      | s_e(X3,X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA2) ).

fof(aA1,axiom,
    ! [X1,X2] : s_e(X1,X2,X2,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA1) ).

fof(aSatz2_8,axiom,
    ! [X12,X15] : s_e(X12,X12,X15,X15),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aSatz2_8) ).

fof(aSatz4_6,axiom,
    ! [X12,X15,X14,X20,X21,X22] :
      ( ~ s_t(X12,X15,X14)
      | ~ s_e3(X12,X15,X14,X20,X21,X22)
      | s_t(X20,X21,X22) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aSatz4_6) ).

fof(aSatz2_4,axiom,
    ! [X12,X15,X14,X17] :
      ( ~ s_e(X12,X15,X14,X17)
      | s_e(X15,X12,X14,X17) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aSatz2_4) ).

fof(aSatz3_3,axiom,
    ! [X20,X21] : s_t(X20,X20,X21),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aSatz3_3) ).

fof(aA6,axiom,
    ! [X1,X2] :
      ( ~ s_t(X1,X2,X1)
      | X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA6) ).

fof(aSatz2_11,axiom,
    ! [X12,X15,X14,X20,X21,X22] :
      ( ~ s_t(X12,X15,X14)
      | ~ s_t(X20,X21,X22)
      | ~ s_e(X12,X15,X20,X21)
      | ~ s_e(X15,X14,X21,X22)
      | s_e(X12,X14,X20,X22) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aSatz2_11) ).

fof(aA3,axiom,
    ! [X1,X2,X3] :
      ( ~ s_e(X1,X2,X3,X3)
      | X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA3) ).

fof(c_0_18,negated_conjecture,
    ~ ! [X12,X15,X14,X20,X21,X22] :
        ( ~ congruent(X12,X15,X14,X20,X21,X22)
        | ~ s_e(X15,X12,X21,X20)
        | ~ s_e(X15,X14,X21,X22)
        | s_e(X12,X14,X20,X22) ),
    inference(assume_negation,[status(cth)],[aSatz11_49a]) ).

fof(c_0_19,plain,
    ! [X20,X21,X22,X23,X24,X25] :
      ( ~ congruent(X20,X21,X22,X23,X24,X25)
      | congruent(X23,X24,X25,X20,X21,X22) ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz11_7])]) ).

fof(c_0_20,negated_conjecture,
    ( congruent(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0)
    & s_e(esk2_0,esk1_0,esk5_0,esk4_0)
    & s_e(esk2_0,esk3_0,esk5_0,esk6_0)
    & ~ s_e(esk1_0,esk3_0,esk4_0,esk6_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_18])])])]) ).

fof(c_0_21,plain,
    ! [X45,X46,X47,X48,X49,X50,X51,X52,X53] :
      ( ~ congruent(X45,X46,X47,X48,X49,X50)
      | ~ congruent(X48,X49,X50,X51,X52,X53)
      | congruent(X45,X46,X47,X51,X52,X53) ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz11_8])]) ).

cnf(c_0_22,plain,
    ( congruent(X1,X2,X3,X4,X5,X6)
    | ~ congruent(X4,X5,X6,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_23,negated_conjecture,
    congruent(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_24,plain,
    ! [X16,X17,X18] :
      ( X16 = X17
      | X18 = X17
      | congruent(X16,X17,X18,X18,X17,X16) ),
    inference(variable_rename,[status(thm)],[aSatz11_9]) ).

cnf(c_0_25,plain,
    ( congruent(X1,X2,X3,X4,X5,X6)
    | ~ congruent(X7,X8,X9,X4,X5,X6)
    | ~ congruent(X1,X2,X3,X7,X8,X9) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    congruent(esk4_0,esk5_0,esk6_0,esk1_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_27,plain,
    ( congruent(X1,X2,X3,X3,X2,X1)
    | X3 = X2
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_28,negated_conjecture,
    ( congruent(X1,X2,X3,esk1_0,esk2_0,esk3_0)
    | ~ congruent(X1,X2,X3,esk4_0,esk5_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

fof(c_0_29,plain,
    ! [X42,X43,X44,X45,X46,X47,X48,X49,X50,X51] :
      ( ~ congruent(X42,X43,X44,X45,X46,X47)
      | ~ sameside(X48,X43,X42)
      | ~ sameside(X49,X43,X44)
      | ~ sameside(X50,X46,X45)
      | ~ sameside(X51,X46,X47)
      | ~ s_e(X43,X48,X46,X50)
      | ~ s_e(X43,X49,X46,X51)
      | s_e(X48,X49,X50,X51) ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz11_4])]) ).

cnf(c_0_30,plain,
    ( X1 = X2
    | X3 = X1
    | congruent(X4,X5,X6,X2,X1,X3)
    | ~ congruent(X4,X5,X6,X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_25,c_0_27]) ).

cnf(c_0_31,negated_conjecture,
    ( esk4_0 = esk5_0
    | esk6_0 = esk5_0
    | congruent(esk6_0,esk5_0,esk4_0,esk1_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_28,c_0_27]) ).

fof(c_0_32,plain,
    ! [X18,X19,X20,X21] :
      ( ~ s_e(X18,X19,X20,X21)
      | s_e(X20,X21,X18,X19) ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz2_2])]) ).

cnf(c_0_33,plain,
    ( s_e(X1,X2,X3,X4)
    | ~ s_e(X5,X2,X6,X4)
    | ~ s_e(X5,X1,X6,X3)
    | ~ sameside(X4,X6,X7)
    | ~ sameside(X3,X6,X8)
    | ~ sameside(X2,X5,X9)
    | ~ sameside(X1,X5,X10)
    | ~ congruent(X10,X5,X9,X8,X6,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    ( esk6_0 = esk5_0
    | esk4_0 = esk5_0
    | esk1_0 = esk2_0
    | esk3_0 = esk2_0
    | congruent(esk6_0,esk5_0,esk4_0,esk3_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_35,plain,
    ( s_e(X1,X2,X3,X4)
    | ~ s_e(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_36,negated_conjecture,
    s_e(esk2_0,esk1_0,esk5_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_37,plain,
    ! [X14,X15] :
      ( X14 = X15
      | sameside(X14,X15,X14) ),
    inference(variable_rename,[status(thm)],[aSatz6_5]) ).

fof(c_0_38,plain,
    ! [X44,X45,X46,X47,X48,X49,X44,X45,X46,X47,X48,X49,X44,X45,X46,X47,X48,X49,X44,X45,X46,X47,X48,X49] :
      ( ( ~ s_e3(X44,X45,X46,X47,X48,X49)
        | s_e(X44,X45,X47,X48) )
      & ( ~ s_e3(X44,X45,X46,X47,X48,X49)
        | s_e(X44,X46,X47,X49) )
      & ( ~ s_e3(X44,X45,X46,X47,X48,X49)
        | s_e(X45,X46,X48,X49) )
      & ( ~ s_e(X44,X45,X47,X48)
        | ~ s_e(X44,X46,X47,X49)
        | ~ s_e(X45,X46,X48,X49)
        | s_e3(X44,X45,X46,X47,X48,X49) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[d_Defn4_4])])])]) ).

cnf(c_0_39,negated_conjecture,
    s_e(esk2_0,esk3_0,esk5_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_40,plain,
    ! [X18,X19,X20,X21] :
      ( ~ s_e(X18,X19,X20,X21)
      | s_e(X19,X18,X21,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz2_14])]) ).

fof(c_0_41,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ s_e(X7,X8,X9,X10)
      | ~ s_e(X7,X8,X11,X12)
      | s_e(X9,X10,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aA2])]) ).

fof(c_0_42,plain,
    ! [X3,X4] : s_e(X3,X4,X4,X3),
    inference(variable_rename,[status(thm)],[aA1]) ).

cnf(c_0_43,negated_conjecture,
    ( esk3_0 = esk2_0
    | esk1_0 = esk2_0
    | esk4_0 = esk5_0
    | esk6_0 = esk5_0
    | s_e(X1,X2,X3,X4)
    | ~ sameside(X4,esk2_0,esk1_0)
    | ~ sameside(X3,esk2_0,esk3_0)
    | ~ sameside(X2,esk5_0,esk4_0)
    | ~ sameside(X1,esk5_0,esk6_0)
    | ~ s_e(esk5_0,X2,esk2_0,X4)
    | ~ s_e(esk5_0,X1,esk2_0,X3) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_44,negated_conjecture,
    s_e(esk5_0,esk4_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_45,plain,
    ( sameside(X1,X2,X1)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_46,plain,
    ( s_e3(X1,X2,X3,X4,X5,X6)
    | ~ s_e(X2,X3,X5,X6)
    | ~ s_e(X1,X3,X4,X6)
    | ~ s_e(X1,X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_47,negated_conjecture,
    s_e(esk5_0,esk6_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_35,c_0_39]) ).

fof(c_0_48,plain,
    ! [X16,X17] : s_e(X16,X16,X17,X17),
    inference(variable_rename,[status(thm)],[aSatz2_8]) ).

cnf(c_0_49,plain,
    ( s_e(X1,X2,X3,X4)
    | ~ s_e(X2,X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_50,plain,
    ( s_e(X1,X2,X3,X4)
    | ~ s_e(X5,X6,X3,X4)
    | ~ s_e(X5,X6,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_51,plain,
    s_e(X1,X2,X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_52,negated_conjecture,
    ( esk6_0 = esk5_0
    | esk4_0 = esk5_0
    | esk1_0 = esk2_0
    | esk3_0 = esk2_0
    | s_e(X1,esk4_0,X2,esk1_0)
    | ~ sameside(X2,esk2_0,esk3_0)
    | ~ sameside(X1,esk5_0,esk6_0)
    | ~ s_e(esk5_0,X1,esk2_0,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_45]) ).

fof(c_0_53,plain,
    ! [X23,X24,X25,X26,X27,X28] :
      ( ~ s_t(X23,X24,X25)
      | ~ s_e3(X23,X24,X25,X26,X27,X28)
      | s_t(X26,X27,X28) ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz4_6])]) ).

cnf(c_0_54,negated_conjecture,
    ( s_e3(X1,esk5_0,esk6_0,X2,esk2_0,esk3_0)
    | ~ s_e(X1,esk6_0,X2,esk3_0)
    | ~ s_e(X1,esk5_0,X2,esk2_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_55,plain,
    s_e(X1,X1,X2,X2),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_56,negated_conjecture,
    s_e(esk6_0,esk5_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_49,c_0_47]) ).

fof(c_0_57,plain,
    ! [X18,X19,X20,X21] :
      ( ~ s_e(X18,X19,X20,X21)
      | s_e(X19,X18,X20,X21) ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz2_4])]) ).

cnf(c_0_58,plain,
    ( s_e(X1,X2,X3,X4)
    | ~ s_e(X4,X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_59,negated_conjecture,
    ( esk3_0 = esk2_0
    | esk1_0 = esk2_0
    | esk4_0 = esk5_0
    | esk6_0 = esk5_0
    | s_e(esk6_0,esk4_0,esk3_0,esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_47]),c_0_45]),c_0_45]) ).

cnf(c_0_60,negated_conjecture,
    ( s_e3(X1,esk2_0,esk3_0,X2,esk5_0,esk6_0)
    | ~ s_e(X1,esk3_0,X2,esk6_0)
    | ~ s_e(X1,esk2_0,X2,esk5_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_39]) ).

cnf(c_0_61,negated_conjecture,
    s_e(esk3_0,esk2_0,esk6_0,esk5_0),
    inference(spm,[status(thm)],[c_0_49,c_0_39]) ).

cnf(c_0_62,plain,
    ( s_t(X1,X2,X3)
    | ~ s_e3(X4,X5,X6,X1,X2,X3)
    | ~ s_t(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_63,negated_conjecture,
    s_e3(esk6_0,esk5_0,esk6_0,esk3_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).

cnf(c_0_64,plain,
    ( s_e(X1,X2,X3,X4)
    | ~ s_e(X2,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_65,negated_conjecture,
    ( esk6_0 = esk5_0
    | esk4_0 = esk5_0
    | esk1_0 = esk2_0
    | esk3_0 = esk2_0
    | s_e(esk3_0,esk1_0,esk4_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_66,negated_conjecture,
    ~ s_e(esk1_0,esk3_0,esk4_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_67,plain,
    ! [X22,X23] : s_t(X22,X22,X23),
    inference(variable_rename,[status(thm)],[aSatz3_3]) ).

fof(c_0_68,plain,
    ! [X3,X4] :
      ( ~ s_t(X3,X4,X3)
      | X3 = X4 ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aA6])]) ).

cnf(c_0_69,negated_conjecture,
    s_e3(esk3_0,esk2_0,esk3_0,esk6_0,esk5_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_55]),c_0_61])]) ).

cnf(c_0_70,negated_conjecture,
    ( s_t(esk3_0,esk2_0,esk3_0)
    | ~ s_t(esk6_0,esk5_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_71,negated_conjecture,
    ( esk3_0 = esk2_0
    | esk1_0 = esk2_0
    | esk4_0 = esk5_0
    | esk6_0 = esk5_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).

cnf(c_0_72,plain,
    s_t(X1,X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_73,plain,
    ( X1 = X2
    | ~ s_t(X1,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_74,negated_conjecture,
    ( s_t(esk6_0,esk5_0,esk6_0)
    | ~ s_t(esk3_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_69]) ).

cnf(c_0_75,negated_conjecture,
    ( esk4_0 = esk5_0
    | esk1_0 = esk2_0
    | esk3_0 = esk2_0 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72])]),c_0_73]) ).

cnf(c_0_76,negated_conjecture,
    ( esk1_0 = esk2_0
    | esk4_0 = esk5_0
    | s_t(esk6_0,esk5_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_72])]) ).

fof(c_0_77,plain,
    ! [X23,X24,X25,X26,X27,X28] :
      ( ~ s_t(X23,X24,X25)
      | ~ s_t(X26,X27,X28)
      | ~ s_e(X23,X24,X26,X27)
      | ~ s_e(X24,X25,X27,X28)
      | s_e(X23,X25,X26,X28) ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz2_11])]) ).

cnf(c_0_78,negated_conjecture,
    ( esk1_0 = esk2_0
    | esk4_0 = esk5_0
    | ~ s_e(esk1_0,esk2_0,esk4_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_66,c_0_75]) ).

cnf(c_0_79,negated_conjecture,
    ( esk4_0 = esk5_0
    | esk1_0 = esk2_0
    | esk6_0 = esk5_0 ),
    inference(spm,[status(thm)],[c_0_73,c_0_76]) ).

cnf(c_0_80,negated_conjecture,
    s_e(esk1_0,esk2_0,esk4_0,esk5_0),
    inference(spm,[status(thm)],[c_0_49,c_0_36]) ).

fof(c_0_81,plain,
    ! [X4,X5,X6] :
      ( ~ s_e(X4,X5,X6,X6)
      | X4 = X5 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aA3])])])]) ).

cnf(c_0_82,plain,
    ( s_e(X1,X2,X3,X4)
    | ~ s_e(X5,X2,X6,X4)
    | ~ s_e(X1,X5,X3,X6)
    | ~ s_t(X3,X6,X4)
    | ~ s_t(X1,X5,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_83,negated_conjecture,
    ( esk4_0 = esk5_0
    | esk1_0 = esk2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80])]) ).

cnf(c_0_84,plain,
    ( X1 = X2
    | ~ s_e(X1,X2,X3,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_85,negated_conjecture,
    ( s_e(X1,esk3_0,X2,esk6_0)
    | ~ s_t(X2,esk5_0,esk6_0)
    | ~ s_t(X1,esk2_0,esk3_0)
    | ~ s_e(X1,esk2_0,X2,esk5_0) ),
    inference(spm,[status(thm)],[c_0_82,c_0_39]) ).

cnf(c_0_86,negated_conjecture,
    s_e(esk4_0,esk5_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_49,c_0_44]) ).

cnf(c_0_87,negated_conjecture,
    esk1_0 = esk2_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_83]),c_0_84]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ s_t(esk4_0,esk5_0,esk6_0)
    | ~ s_t(esk1_0,esk2_0,esk3_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_80]),c_0_66]) ).

cnf(c_0_89,negated_conjecture,
    s_e(esk4_0,esk5_0,esk2_0,esk2_0),
    inference(rw,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_90,negated_conjecture,
    ~ s_t(esk4_0,esk5_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_87]),c_0_72])]) ).

cnf(c_0_91,negated_conjecture,
    esk4_0 = esk5_0,
    inference(spm,[status(thm)],[c_0_84,c_0_89]) ).

cnf(c_0_92,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91]),c_0_72])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GEO535+1 : TPTP v8.1.0. Released v7.0.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 17:10:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.25/1.42  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.25/1.42  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.25/1.42  # Preprocessing time       : 0.026 s
% 0.25/1.42  
% 0.25/1.42  # Proof found!
% 0.25/1.42  # SZS status Theorem
% 0.25/1.42  # SZS output start CNFRefutation
% See solution above
% 0.25/1.42  # Proof object total steps             : 93
% 0.25/1.42  # Proof object clause steps            : 56
% 0.25/1.42  # Proof object formula steps           : 37
% 0.25/1.42  # Proof object conjectures             : 40
% 0.25/1.42  # Proof object clause conjectures      : 37
% 0.25/1.42  # Proof object formula conjectures     : 3
% 0.25/1.42  # Proof object initial clauses used    : 21
% 0.25/1.42  # Proof object initial formulas used   : 18
% 0.25/1.42  # Proof object generating inferences   : 32
% 0.25/1.42  # Proof object simplifying inferences  : 25
% 0.25/1.42  # Training examples: 0 positive, 0 negative
% 0.25/1.42  # Parsed axioms                        : 228
% 0.25/1.42  # Removed by relevancy pruning/SinE    : 143
% 0.25/1.42  # Initial clauses                      : 95
% 0.25/1.42  # Removed in clause preprocessing      : 0
% 0.25/1.42  # Initial clauses in saturation        : 95
% 0.25/1.42  # Processed clauses                    : 1900
% 0.25/1.42  # ...of these trivial                  : 33
% 0.25/1.42  # ...subsumed                          : 717
% 0.25/1.42  # ...remaining for further processing  : 1150
% 0.25/1.42  # Other redundant clauses eliminated   : 1
% 0.25/1.42  # Clauses deleted for lack of memory   : 0
% 0.25/1.42  # Backward-subsumed                    : 77
% 0.25/1.42  # Backward-rewritten                   : 585
% 0.25/1.42  # Generated clauses                    : 6487
% 0.25/1.42  # ...of the previous two non-trivial   : 5366
% 0.25/1.42  # Contextual simplify-reflections      : 936
% 0.25/1.42  # Paramodulations                      : 6486
% 0.25/1.42  # Factorizations                       : 0
% 0.25/1.42  # Equation resolutions                 : 1
% 0.25/1.42  # Current number of processed clauses  : 487
% 0.25/1.42  #    Positive orientable unit clauses  : 48
% 0.25/1.42  #    Positive unorientable unit clauses: 0
% 0.25/1.42  #    Negative unit clauses             : 0
% 0.25/1.42  #    Non-unit-clauses                  : 439
% 0.25/1.42  # Current number of unprocessed clauses: 493
% 0.25/1.42  # ...number of literals in the above   : 3112
% 0.25/1.42  # Current number of archived formulas  : 0
% 0.25/1.42  # Current number of archived clauses   : 662
% 0.25/1.42  # Clause-clause subsumption calls (NU) : 516818
% 0.25/1.42  # Rec. Clause-clause subsumption calls : 85961
% 0.25/1.42  # Non-unit clause-clause subsumptions  : 1727
% 0.25/1.42  # Unit Clause-clause subsumption calls : 12376
% 0.25/1.42  # Rewrite failures with RHS unbound    : 0
% 0.25/1.42  # BW rewrite match attempts            : 918
% 0.25/1.42  # BW rewrite match successes           : 4
% 0.25/1.42  # Condensation attempts                : 0
% 0.25/1.42  # Condensation successes               : 0
% 0.25/1.42  # Termbank termtop insertions          : 150993
% 0.25/1.42  
% 0.25/1.42  # -------------------------------------------------
% 0.25/1.42  # User time                : 0.339 s
% 0.25/1.42  # System time              : 0.008 s
% 0.25/1.42  # Total time               : 0.347 s
% 0.25/1.42  # Maximum resident set size: 6996 pages
% 0.25/23.41  eprover: CPU time limit exceeded, terminating
% 0.25/23.42  eprover: CPU time limit exceeded, terminating
% 0.25/23.42  eprover: CPU time limit exceeded, terminating
% 0.25/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43  eprover: No such file or directory
% 0.25/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------