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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO528+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n008.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 04:06:09 EDT 2022

% Result   : Theorem 0.27s 2.46s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   83 (  22 unt;   0 def)
%            Number of atoms       :  237 (  67 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  248 (  94   ~; 135   |;  19   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-4 aty)
%            Number of variables   :  240 (  29 sgn 149   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(aSatz10_14,conjecture,
    ! [X12,X15,X13,X37] :
      ( X12 = X15
      | reflect(X12,X15,X13) != X37
      | s_col(X12,X15,X13)
      | opposite(X13,X12,X15,X37) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz10_14) ).

fof(aSatz10_5,axiom,
    ! [X12,X15,X13] :
      ( X12 = X15
      | reflect(X12,X15,reflect(X12,X15,X13)) = X13 ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz10_5) ).

fof(aSatz10_8a,axiom,
    ! [X12,X15,X13] :
      ( X12 = X15
      | reflect(X12,X15,X13) != X13
      | s_col(X12,X15,X13) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz10_8a) ).

fof(aSatz9_2,axiom,
    ! [X12,X13,X16,X15] :
      ( ~ opposite(X12,X13,X16,X15)
      | opposite(X15,X13,X16,X12) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz9_2) ).

fof(aLemma9_13f,axiom,
    ! [X13,X16,X27,X28] :
      ( X13 = X16
      | s_col(X13,X16,X27)
      | s_col(X13,X16,X28)
      | samesideline(X27,X28,X13,X16)
      | opposite(X27,X13,X16,X28) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aLemma9_13f) ).

fof(aSatz10_8b,axiom,
    ! [X12,X15,X13] :
      ( X12 = X15
      | ~ s_col(X12,X15,X13)
      | reflect(X12,X15,X13) = X13 ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz10_8b) ).

fof(aSatz10_2a,axiom,
    ! [X12,X15,X13] :
      ( ( X12 = X15
        | s_col(X12,X15,midpoint(X13,reflect(X12,X15,X13))) )
      & ( X12 = X15
        | X13 = reflect(X12,X15,X13)
        | perp(X12,X15,X13,reflect(X12,X15,X13)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz10_2a) ).

fof(aLemma9_13a,axiom,
    ! [X13,X16,X12,X15] :
      ( ~ samesideline(X13,X16,X12,X15)
      | samesideline(X13,X16,X15,X12) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aLemma9_13a) ).

fof(aperp1,axiom,
    ! [X12,X15,X13,X16] :
      ( ~ perp(X12,X15,X13,X16)
      | perp(X15,X12,X13,X16) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aperp1) ).

fof(aSatz4_11d,axiom,
    ! [X12,X15,X14] :
      ( ~ s_col(X12,X15,X14)
      | s_col(X15,X12,X14) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz4_11d) ).

fof(d_Defn9_1,axiom,
    ! [X13,X16,X12,X15,X36] :
      ( ( X13 = X16
        | s_col(X13,X16,X12)
        | s_col(X13,X16,X15)
        | ~ s_t(X12,X36,X15)
        | ~ s_col(X13,X16,X36)
        | opposite(X12,X13,X16,X15) )
      & ( ~ opposite(X12,X13,X16,X15)
        | ~ s_col(X13,X16,X12) )
      & ( ~ opposite(X12,X13,X16,X15)
        | ~ s_col(X13,X16,X15) )
      & ( ~ opposite(X12,X13,X16,X15)
        | s_t(X12,il(X12,X15,X13,X16),X15) )
      & ( ~ opposite(X12,X13,X16,X15)
        | s_col(X13,X16,il(X12,X15,X13,X16)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d_Defn9_1) ).

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

fof(aLemma9_13d,axiom,
    ! [X12,X15,X13,X16] :
      ( X12 = X15
      | ~ samesideline(X13,X16,X12,X15)
      | samesideline(X16,X13,X12,X15) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aLemma9_13d) ).

fof(aSatz10_2b,axiom,
    ! [X12,X15,X13,X37] :
      ( ( X12 = X15
        | ~ s_col(X12,X15,midpoint(X13,X37))
        | ~ perp(X12,X15,X13,X37)
        | X37 = reflect(X12,X15,X13) )
      & ( X12 = X15
        | ~ s_col(X12,X15,midpoint(X13,X37))
        | X13 != X37
        | X37 = reflect(X12,X15,X13) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz10_2b) ).

fof(aLemma9_13e,axiom,
    ! [X12,X13,X16,X15,X14] :
      ( ~ opposite(X12,X13,X16,X15)
      | ~ samesideline(X15,X14,X13,X16)
      | opposite(X12,X13,X16,X14) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aLemma9_13e) ).

fof(d_Defn7_1,axiom,
    ! [X12,X29,X15] :
      ( ( ~ s_m(X12,X29,X15)
        | s_t(X12,X29,X15) )
      & ( ~ s_m(X12,X29,X15)
        | s_e(X29,X12,X29,X15) )
      & ( ~ s_t(X12,X29,X15)
        | ~ s_e(X29,X12,X29,X15)
        | s_m(X12,X29,X15) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d_Defn7_1) ).

fof(aSatz8_22,axiom,
    ! [X12,X15] : s_m(X12,midpoint(X12,X15),X15),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz8_22) ).

fof(c_0_17,negated_conjecture,
    ~ ! [X12,X15,X13,X37] :
        ( X12 = X15
        | reflect(X12,X15,X13) != X37
        | s_col(X12,X15,X13)
        | opposite(X13,X12,X15,X37) ),
    inference(assume_negation,[status(cth)],[aSatz10_14]) ).

fof(c_0_18,plain,
    ! [X16,X17,X18] :
      ( X16 = X17
      | reflect(X16,X17,reflect(X16,X17,X18)) = X18 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[aSatz10_5])])]) ).

fof(c_0_19,negated_conjecture,
    ( esk1_0 != esk2_0
    & reflect(esk1_0,esk2_0,esk3_0) = esk4_0
    & ~ s_col(esk1_0,esk2_0,esk3_0)
    & ~ opposite(esk3_0,esk1_0,esk2_0,esk4_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).

fof(c_0_20,plain,
    ! [X16,X17,X18] :
      ( X16 = X17
      | reflect(X16,X17,X18) != X18
      | s_col(X16,X17,X18) ),
    inference(variable_rename,[status(thm)],[aSatz10_8a]) ).

fof(c_0_21,plain,
    ! [X17,X18,X19,X20] :
      ( ~ opposite(X17,X18,X19,X20)
      | opposite(X20,X18,X19,X17) ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz9_2])]) ).

fof(c_0_22,plain,
    ! [X29,X30,X31,X32] :
      ( X29 = X30
      | s_col(X29,X30,X31)
      | s_col(X29,X30,X32)
      | samesideline(X31,X32,X29,X30)
      | opposite(X31,X29,X30,X32) ),
    inference(variable_rename,[status(thm)],[aLemma9_13f]) ).

fof(c_0_23,plain,
    ! [X16,X17,X18] :
      ( X16 = X17
      | ~ s_col(X16,X17,X18)
      | reflect(X16,X17,X18) = X18 ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz10_8b])]) ).

cnf(c_0_24,plain,
    ( reflect(X1,X2,reflect(X1,X2,X3)) = X3
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    reflect(esk1_0,esk2_0,esk3_0) = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,negated_conjecture,
    esk1_0 != esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_27,plain,
    ( s_col(X1,X2,X3)
    | X1 = X2
    | reflect(X1,X2,X3) != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_28,negated_conjecture,
    ~ s_col(esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_29,plain,
    ( opposite(X1,X2,X3,X4)
    | ~ opposite(X4,X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_30,plain,
    ( opposite(X1,X2,X3,X4)
    | samesideline(X1,X4,X2,X3)
    | s_col(X2,X3,X4)
    | s_col(X2,X3,X1)
    | X2 = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_31,plain,
    ( reflect(X1,X2,X3) = X3
    | X1 = X2
    | ~ s_col(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_32,negated_conjecture,
    reflect(esk1_0,esk2_0,esk4_0) = esk3_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

cnf(c_0_33,negated_conjecture,
    esk4_0 != esk3_0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_25]),c_0_26]),c_0_28]) ).

fof(c_0_34,plain,
    ! [X16,X17,X18,X16,X17,X18] :
      ( ( X16 = X17
        | s_col(X16,X17,midpoint(X18,reflect(X16,X17,X18))) )
      & ( X16 = X17
        | X18 = reflect(X16,X17,X18)
        | perp(X16,X17,X18,reflect(X16,X17,X18)) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[aSatz10_2a])])]) ).

fof(c_0_35,plain,
    ! [X17,X18,X19,X20] :
      ( ~ samesideline(X17,X18,X19,X20)
      | samesideline(X17,X18,X20,X19) ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aLemma9_13a])]) ).

cnf(c_0_36,negated_conjecture,
    ~ opposite(esk3_0,esk1_0,esk2_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_37,plain,
    ( X1 = X2
    | opposite(X3,X1,X2,X4)
    | samesideline(X4,X3,X1,X2)
    | s_col(X1,X2,X3)
    | s_col(X1,X2,X4) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_38,negated_conjecture,
    ~ s_col(esk1_0,esk2_0,esk4_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_26]) ).

fof(c_0_39,plain,
    ! [X17,X18,X19,X20] :
      ( ~ perp(X17,X18,X19,X20)
      | perp(X18,X17,X19,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aperp1])]) ).

cnf(c_0_40,plain,
    ( perp(X1,X2,X3,reflect(X1,X2,X3))
    | X3 = reflect(X1,X2,X3)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_41,plain,
    ! [X16,X17,X18] :
      ( ~ s_col(X16,X17,X18)
      | s_col(X17,X16,X18) ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz4_11d])]) ).

fof(c_0_42,plain,
    ! [X37,X38,X39,X40,X41,X37,X38,X39,X40,X37,X38,X39,X40,X37,X38,X39,X40,X37,X38,X39,X40] :
      ( ( X37 = X38
        | s_col(X37,X38,X39)
        | s_col(X37,X38,X40)
        | ~ s_t(X39,X41,X40)
        | ~ s_col(X37,X38,X41)
        | opposite(X39,X37,X38,X40) )
      & ( ~ opposite(X39,X37,X38,X40)
        | ~ s_col(X37,X38,X39) )
      & ( ~ opposite(X39,X37,X38,X40)
        | ~ s_col(X37,X38,X40) )
      & ( ~ opposite(X39,X37,X38,X40)
        | s_t(X39,il(X39,X40,X37,X38),X40) )
      & ( ~ opposite(X39,X37,X38,X40)
        | s_col(X37,X38,il(X39,X40,X37,X38)) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[d_Defn9_1])])])]) ).

fof(c_0_43,plain,
    ! [X3,X4] :
      ( ~ s_t(X3,X4,X3)
      | X3 = X4 ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aA6])]) ).

fof(c_0_44,plain,
    ! [X17,X18,X19,X20] :
      ( X17 = X18
      | ~ samesideline(X19,X20,X17,X18)
      | samesideline(X20,X19,X17,X18) ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aLemma9_13d])]) ).

cnf(c_0_45,plain,
    ( samesideline(X1,X2,X3,X4)
    | ~ samesideline(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_46,negated_conjecture,
    samesideline(esk4_0,esk3_0,esk1_0,esk2_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_26]),c_0_28]),c_0_38]) ).

fof(c_0_47,plain,
    ! [X38,X39,X40,X41,X38,X39,X40,X41] :
      ( ( X38 = X39
        | ~ s_col(X38,X39,midpoint(X40,X41))
        | ~ perp(X38,X39,X40,X41)
        | X41 = reflect(X38,X39,X40) )
      & ( X38 = X39
        | ~ s_col(X38,X39,midpoint(X40,X41))
        | X40 != X41
        | X41 = reflect(X38,X39,X40) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz10_2b])])])]) ).

cnf(c_0_48,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X2,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_49,negated_conjecture,
    perp(esk1_0,esk2_0,esk4_0,esk3_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_32]),c_0_33]),c_0_26]) ).

cnf(c_0_50,plain,
    ( s_col(X1,X2,X3)
    | ~ s_col(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_51,plain,
    ( s_col(X1,X2,il(X3,X4,X1,X2))
    | ~ opposite(X3,X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_52,plain,
    ( X1 = X2
    | ~ s_t(X1,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_53,plain,
    ( s_t(X1,il(X1,X2,X3,X4),X2)
    | ~ opposite(X1,X3,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

fof(c_0_54,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ opposite(X17,X18,X19,X20)
      | ~ samesideline(X20,X21,X18,X19)
      | opposite(X17,X18,X19,X21) ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aLemma9_13e])]) ).

cnf(c_0_55,plain,
    ( samesideline(X1,X2,X3,X4)
    | X3 = X4
    | ~ samesideline(X2,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_56,negated_conjecture,
    samesideline(esk4_0,esk3_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

fof(c_0_57,plain,
    ! [X30,X31,X32,X30,X31,X32,X30,X31,X32] :
      ( ( ~ s_m(X30,X31,X32)
        | s_t(X30,X31,X32) )
      & ( ~ s_m(X30,X31,X32)
        | s_e(X31,X30,X31,X32) )
      & ( ~ s_t(X30,X31,X32)
        | ~ s_e(X31,X30,X31,X32)
        | s_m(X30,X31,X32) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[d_Defn7_1])])])]) ).

fof(c_0_58,plain,
    ! [X16,X17] : s_m(X16,midpoint(X16,X17),X17),
    inference(variable_rename,[status(thm)],[aSatz8_22]) ).

cnf(c_0_59,plain,
    ( X1 = reflect(X2,X3,X4)
    | X2 = X3
    | ~ perp(X2,X3,X4,X1)
    | ~ s_col(X2,X3,midpoint(X4,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_60,negated_conjecture,
    perp(esk2_0,esk1_0,esk4_0,esk3_0),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_61,plain,
    ( s_col(X1,X2,midpoint(X3,reflect(X1,X2,X3)))
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_62,plain,
    ( s_col(X1,X2,il(X3,X4,X2,X1))
    | ~ opposite(X3,X2,X1,X4) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_63,plain,
    ( il(X1,X1,X2,X3) = X1
    | ~ opposite(X1,X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_64,plain,
    ( opposite(X1,X2,X3,X4)
    | ~ samesideline(X5,X4,X2,X3)
    | ~ opposite(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_65,negated_conjecture,
    samesideline(esk3_0,esk4_0,esk2_0,esk1_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_26]) ).

cnf(c_0_66,plain,
    ( s_t(X1,X2,X3)
    | ~ s_m(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_67,plain,
    s_m(X1,midpoint(X1,X2),X2),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_68,plain,
    ( reflect(X1,X2,X3) = X3
    | X1 = X2
    | ~ s_col(X1,X2,reflect(X1,X2,X3)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_31]) ).

cnf(c_0_69,negated_conjecture,
    ( reflect(esk2_0,esk1_0,esk4_0) = esk3_0
    | ~ s_col(esk2_0,esk1_0,midpoint(esk4_0,esk3_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_26]) ).

cnf(c_0_70,negated_conjecture,
    s_col(esk1_0,esk2_0,midpoint(esk4_0,esk3_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_32]),c_0_26]) ).

cnf(c_0_71,plain,
    ( s_col(X1,X2,X3)
    | ~ opposite(X3,X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_72,negated_conjecture,
    ( opposite(X1,esk2_0,esk1_0,esk4_0)
    | ~ opposite(X1,esk2_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_73,plain,
    ( opposite(X1,X2,X3,X4)
    | s_col(X2,X3,X4)
    | s_col(X2,X3,X1)
    | X2 = X3
    | ~ s_col(X2,X3,X5)
    | ~ s_t(X1,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_74,plain,
    s_t(X1,midpoint(X1,X2),X2),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_75,negated_conjecture,
    ( ~ s_col(esk2_0,esk1_0,midpoint(esk4_0,esk3_0))
    | ~ s_col(esk2_0,esk1_0,esk3_0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_33]),c_0_26]) ).

cnf(c_0_76,negated_conjecture,
    s_col(esk2_0,esk1_0,midpoint(esk4_0,esk3_0)),
    inference(spm,[status(thm)],[c_0_50,c_0_70]) ).

cnf(c_0_77,negated_conjecture,
    ( ~ s_col(esk2_0,esk1_0,midpoint(esk4_0,esk3_0))
    | ~ s_col(esk2_0,esk1_0,esk4_0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_69]),c_0_33]),c_0_26]) ).

cnf(c_0_78,negated_conjecture,
    ~ opposite(esk4_0,esk2_0,esk1_0,esk3_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_38]) ).

cnf(c_0_79,plain,
    ( X1 = X2
    | opposite(X3,X1,X2,X4)
    | s_col(X1,X2,X4)
    | s_col(X1,X2,X3)
    | ~ s_col(X1,X2,midpoint(X3,X4)) ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_80,negated_conjecture,
    ~ s_col(esk2_0,esk1_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76])]) ).

cnf(c_0_81,negated_conjecture,
    ~ s_col(esk2_0,esk1_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_76])]) ).

cnf(c_0_82,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_76])]),c_0_26]),c_0_80]),c_0_81]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GEO528+1 : TPTP v8.1.0. Released v7.0.0.
% 0.13/0.14  % Command  : run_ET %s %d
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jun 18 08:58:07 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.27/2.46  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.27/2.46  # Preprocessing time       : 0.036 s
% 0.27/2.46  
% 0.27/2.46  # Proof found!
% 0.27/2.46  # SZS status Theorem
% 0.27/2.46  # SZS output start CNFRefutation
% See solution above
% 0.27/2.46  # Proof object total steps             : 83
% 0.27/2.46  # Proof object clause steps            : 48
% 0.27/2.46  # Proof object formula steps           : 35
% 0.27/2.46  # Proof object conjectures             : 25
% 0.27/2.46  # Proof object clause conjectures      : 22
% 0.27/2.46  # Proof object formula conjectures     : 3
% 0.27/2.46  # Proof object initial clauses used    : 23
% 0.27/2.46  # Proof object initial formulas used   : 17
% 0.27/2.46  # Proof object generating inferences   : 23
% 0.27/2.46  # Proof object simplifying inferences  : 27
% 0.27/2.46  # Training examples: 0 positive, 0 negative
% 0.27/2.46  # Parsed axioms                        : 213
% 0.27/2.46  # Removed by relevancy pruning/SinE    : 0
% 0.27/2.46  # Initial clauses                      : 307
% 0.27/2.46  # Removed in clause preprocessing      : 1
% 0.27/2.46  # Initial clauses in saturation        : 306
% 0.27/2.46  # Processed clauses                    : 5466
% 0.27/2.46  # ...of these trivial                  : 171
% 0.27/2.46  # ...subsumed                          : 3035
% 0.27/2.46  # ...remaining for further processing  : 2260
% 0.27/2.46  # Other redundant clauses eliminated   : 55
% 0.27/2.46  # Clauses deleted for lack of memory   : 0
% 0.27/2.46  # Backward-subsumed                    : 0
% 0.27/2.46  # Backward-rewritten                   : 6
% 0.27/2.46  # Generated clauses                    : 64319
% 0.27/2.46  # ...of the previous two non-trivial   : 62101
% 0.27/2.46  # Contextual simplify-reflections      : 668
% 0.27/2.46  # Paramodulations                      : 64229
% 0.27/2.46  # Factorizations                       : 2
% 0.27/2.46  # Equation resolutions                 : 88
% 0.27/2.46  # Current number of processed clauses  : 2240
% 0.27/2.46  #    Positive orientable unit clauses  : 134
% 0.27/2.46  #    Positive unorientable unit clauses: 0
% 0.27/2.46  #    Negative unit clauses             : 114
% 0.27/2.46  #    Non-unit-clauses                  : 1992
% 0.27/2.46  # Current number of unprocessed clauses: 56891
% 0.27/2.46  # ...number of literals in the above   : 316206
% 0.27/2.46  # Current number of archived formulas  : 0
% 0.27/2.46  # Current number of archived clauses   : 7
% 0.27/2.46  # Clause-clause subsumption calls (NU) : 1304146
% 0.27/2.46  # Rec. Clause-clause subsumption calls : 725376
% 0.27/2.46  # Non-unit clause-clause subsumptions  : 3026
% 0.27/2.46  # Unit Clause-clause subsumption calls : 32133
% 0.27/2.46  # Rewrite failures with RHS unbound    : 0
% 0.27/2.46  # BW rewrite match attempts            : 1092
% 0.27/2.46  # BW rewrite match successes           : 3
% 0.27/2.46  # Condensation attempts                : 0
% 0.27/2.46  # Condensation successes               : 0
% 0.27/2.46  # Termbank termtop insertions          : 1192531
% 0.27/2.46  
% 0.27/2.46  # -------------------------------------------------
% 0.27/2.46  # User time                : 1.215 s
% 0.27/2.46  # System time              : 0.046 s
% 0.27/2.46  # Total time               : 1.261 s
% 0.27/2.46  # Maximum resident set size: 63052 pages
% 0.27/23.45  eprover: CPU time limit exceeded, terminating
% 0.27/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.46  eprover: No such file or directory
% 0.27/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.47  eprover: No such file or directory
% 0.27/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.47  eprover: No such file or directory
% 0.27/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.48  eprover: No such file or directory
% 0.27/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.48  eprover: No such file or directory
% 0.27/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.48  eprover: No such file or directory
% 0.27/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.49  eprover: No such file or directory
% 0.27/23.49  eprover: CPU time limit exceeded, terminating
% 0.27/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.49  eprover: No such file or directory
% 0.27/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.49  eprover: No such file or directory
% 0.27/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.50  eprover: No such file or directory
% 0.27/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.50  eprover: No such file or directory
% 0.27/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.50  eprover: No such file or directory
% 0.27/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.51  eprover: No such file or directory
% 0.27/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.51  eprover: No such file or directory
% 0.27/23.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.52  eprover: No such file or directory
% 0.27/23.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.52  eprover: No such file or directory
% 0.27/23.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.53  eprover: No such file or directory
% 0.27/23.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.54  eprover: No such file or directory
% 0.27/23.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.54  eprover: No such file or directory
% 0.27/23.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.55  eprover: No such file or directory
% 0.27/23.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.55  eprover: No such file or directory
% 0.27/23.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.56  eprover: No such file or directory
%------------------------------------------------------------------------------