TSTP Solution File: GEO554+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO554+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n025.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 : Wed Aug 30 22:48:36 EDT 2023

% Result   : Theorem 0.68s 0.85s
% Output   : CNFRefutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   61
% Syntax   : Number of formulae    :  116 (  17 unt;  47 typ;   0 def)
%            Number of atoms       :  158 (   0 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  135 (  46   ~;  43   |;  31   &)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  138 (  31   >; 107   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-8 aty)
%            Number of functors    :   36 (  36 usr;  16 con; 0-6 aty)
%            Number of variables   :  243 (   7 sgn; 150   !;   0   ?;   0   :)

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

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

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

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

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

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

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

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

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

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

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

tff(decl_33,type,
    esk1_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_34,type,
    esk2_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_35,type,
    esk3_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_36,type,
    esk4_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_37,type,
    esk5_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_38,type,
    esk6_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_39,type,
    esk7_2: ( $i * $i ) > $i ).

tff(decl_40,type,
    esk8_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_41,type,
    esk9_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_42,type,
    esk10_3: ( $i * $i * $i ) > $i ).

tff(decl_43,type,
    esk11_3: ( $i * $i * $i ) > $i ).

tff(decl_44,type,
    esk12_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_45,type,
    esk13_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_46,type,
    esk14_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_47,type,
    esk15_3: ( $i * $i * $i ) > $i ).

tff(decl_48,type,
    esk16_3: ( $i * $i * $i ) > $i ).

tff(decl_49,type,
    esk17_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_50,type,
    esk18_3: ( $i * $i * $i ) > $i ).

tff(decl_51,type,
    esk19_3: ( $i * $i * $i ) > $i ).

tff(decl_52,type,
    esk20_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_53,type,
    esk21_0: $i ).

tff(decl_54,type,
    esk22_0: $i ).

tff(decl_55,type,
    esk23_0: $i ).

tff(decl_56,type,
    esk24_0: $i ).

tff(decl_57,type,
    esk25_0: $i ).

tff(decl_58,type,
    esk26_0: $i ).

tff(decl_59,type,
    esk27_0: $i ).

tff(decl_60,type,
    esk28_0: $i ).

tff(decl_61,type,
    esk29_0: $i ).

tff(decl_62,type,
    esk30_0: $i ).

tff(decl_63,type,
    esk31_0: $i ).

tff(decl_64,type,
    esk32_0: $i ).

tff(decl_65,type,
    esk33_0: $i ).

tff(decl_66,type,
    esk34_0: $i ).

tff(decl_67,type,
    esk35_0: $i ).

tff(decl_68,type,
    esk36_0: $i ).

fof(exemplo6GDDFULL012014,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21,X22,X23,X24,X25,X26,X27] :
      ( ( perp(X3,X1,X3,X2)
        & circle(X1,X3,X19,X20)
        & circle(X2,X3,X21,X22)
        & circle(X1,X3,X4,X23)
        & coll(X3,X4,X5)
        & circle(X2,X3,X5,X24)
        & coll(X2,X5,X6)
        & circle(X2,X3,X6,X25)
        & circle(X1,X3,X13,X26)
        & circle(X2,X3,X13,X27) )
     => coll(X4,X6,X13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012014) ).

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).

fof(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

fof(ruleD8,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

fof(ruleD3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( coll(X1,X2,X3)
        & coll(X1,X2,X4) )
     => coll(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

fof(ruleD42b,axiom,
    ! [X1,X2,X9,X10] :
      ( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
        & coll(X9,X10,X2) )
     => cyclic(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

fof(ruleD40,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( para(X1,X2,X3,X4)
     => eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

fof(ruleD9,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( perp(X1,X2,X3,X4)
        & perp(X3,X4,X5,X6) )
     => para(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

fof(ruleD15,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).

fof(ruleD19,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

fof(ruleD39,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

fof(ruleD41,axiom,
    ! [X1,X2,X9,X10] :
      ( cyclic(X1,X2,X9,X10)
     => eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).

fof(ruleD16,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

fof(c_0_14,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21,X22,X23,X24,X25,X26,X27] :
        ( ( perp(X3,X1,X3,X2)
          & circle(X1,X3,X19,X20)
          & circle(X2,X3,X21,X22)
          & circle(X1,X3,X4,X23)
          & coll(X3,X4,X5)
          & circle(X2,X3,X5,X24)
          & coll(X2,X5,X6)
          & circle(X2,X3,X6,X25)
          & circle(X1,X3,X13,X26)
          & circle(X2,X3,X13,X27) )
       => coll(X4,X6,X13) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL012014]) ).

fof(c_0_15,plain,
    ! [X31,X32,X33] :
      ( ~ coll(X31,X32,X33)
      | coll(X32,X31,X33) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

fof(c_0_16,negated_conjecture,
    ( perp(esk23_0,esk21_0,esk23_0,esk22_0)
    & circle(esk21_0,esk23_0,esk28_0,esk29_0)
    & circle(esk22_0,esk23_0,esk30_0,esk31_0)
    & circle(esk21_0,esk23_0,esk24_0,esk32_0)
    & coll(esk23_0,esk24_0,esk25_0)
    & circle(esk22_0,esk23_0,esk25_0,esk33_0)
    & coll(esk22_0,esk25_0,esk26_0)
    & circle(esk22_0,esk23_0,esk26_0,esk34_0)
    & circle(esk21_0,esk23_0,esk27_0,esk35_0)
    & circle(esk22_0,esk23_0,esk27_0,esk36_0)
    & ~ coll(esk24_0,esk26_0,esk27_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).

fof(c_0_17,plain,
    ! [X28,X29,X30] :
      ( ~ coll(X28,X29,X30)
      | coll(X28,X30,X29) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_18,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    coll(esk23_0,esk24_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_20,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    coll(esk24_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

fof(c_0_22,plain,
    ! [X56,X57,X58,X59] :
      ( ~ perp(X56,X57,X58,X59)
      | perp(X58,X59,X56,X57) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

fof(c_0_23,plain,
    ! [X34,X35,X36,X37] :
      ( ~ coll(X34,X35,X36)
      | ~ coll(X34,X35,X37)
      | coll(X36,X37,X34) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_24,negated_conjecture,
    coll(esk24_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

fof(c_0_25,plain,
    ! [X277,X278,X279,X280] :
      ( ~ eqangle(X279,X277,X279,X278,X280,X277,X280,X278)
      | ~ coll(X279,X280,X278)
      | cyclic(X277,X278,X279,X280) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

fof(c_0_26,plain,
    ! [X263,X264,X265,X266,X267,X268] :
      ( ~ para(X263,X264,X265,X266)
      | eqangle(X263,X264,X267,X268,X265,X266,X267,X268) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).

fof(c_0_27,plain,
    ! [X60,X61,X62,X63,X64,X65] :
      ( ~ perp(X60,X61,X62,X63)
      | ~ perp(X62,X63,X64,X65)
      | para(X60,X61,X64,X65) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

cnf(c_0_28,plain,
    ( perp(X3,X4,X1,X2)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,negated_conjecture,
    perp(esk23_0,esk21_0,esk23_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_30,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_31,negated_conjecture,
    coll(esk25_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_18,c_0_24]) ).

cnf(c_0_32,plain,
    ( cyclic(X2,X3,X1,X4)
    | ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ coll(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_33,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_34,plain,
    ( para(X1,X2,X5,X6)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_35,negated_conjecture,
    perp(esk23_0,esk22_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_36,negated_conjecture,
    ( coll(X1,esk23_0,esk25_0)
    | ~ coll(esk25_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

fof(c_0_37,plain,
    ! [X88,X89,X90,X91] :
      ( ~ cyclic(X88,X89,X90,X91)
      | cyclic(X88,X90,X89,X91) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).

cnf(c_0_38,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_39,negated_conjecture,
    ( para(X1,X2,esk23_0,esk21_0)
    | ~ perp(X1,X2,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_40,negated_conjecture,
    coll(esk23_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_36,c_0_31]) ).

fof(c_0_41,plain,
    ! [X109,X110,X111,X112,X113,X114,X115,X116] :
      ( ~ eqangle(X109,X110,X111,X112,X113,X114,X115,X116)
      | eqangle(X111,X112,X109,X110,X115,X116,X113,X114) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

fof(c_0_42,plain,
    ! [X257,X258,X259,X260,X261,X262] :
      ( ~ eqangle(X257,X258,X261,X262,X259,X260,X261,X262)
      | para(X257,X258,X259,X260) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).

fof(c_0_43,plain,
    ! [X269,X270,X271,X272] :
      ( ~ cyclic(X269,X270,X271,X272)
      | eqangle(X271,X269,X271,X270,X272,X269,X272,X270) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).

fof(c_0_44,plain,
    ! [X92,X93,X94,X95] :
      ( ~ cyclic(X92,X93,X94,X95)
      | cyclic(X93,X92,X94,X95) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).

cnf(c_0_45,plain,
    ( cyclic(X1,X3,X2,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_46,negated_conjecture,
    ( cyclic(esk21_0,X1,esk23_0,esk23_0)
    | ~ coll(esk23_0,esk23_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_29])]) ).

cnf(c_0_47,negated_conjecture,
    coll(esk23_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_20,c_0_40]) ).

cnf(c_0_48,plain,
    ( eqangle(X3,X4,X1,X2,X7,X8,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_49,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_50,plain,
    ( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_51,plain,
    ( cyclic(X2,X1,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_52,negated_conjecture,
    ( cyclic(esk21_0,esk23_0,X1,esk23_0)
    | ~ coll(esk23_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_53,negated_conjecture,
    ( coll(X1,esk23_0,esk23_0)
    | ~ coll(esk23_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_47]) ).

cnf(c_0_54,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_48,c_0_33]) ).

cnf(c_0_55,plain,
    ( para(X1,X2,X1,X2)
    | ~ cyclic(X2,X3,X1,X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_56,negated_conjecture,
    ( cyclic(esk23_0,esk21_0,X1,esk23_0)
    | ~ coll(esk23_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_57,negated_conjecture,
    coll(esk23_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_53,c_0_47]) ).

fof(c_0_58,plain,
    ! [X392,X393,X394] :
      ( ~ para(X392,X393,X392,X394)
      | coll(X392,X393,X394) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_59,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_49,c_0_54]) ).

cnf(c_0_60,negated_conjecture,
    para(esk23_0,esk23_0,esk23_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).

cnf(c_0_61,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_62,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_63,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_64,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_18,c_0_63]) ).

cnf(c_0_65,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_20,c_0_64]) ).

cnf(c_0_66,negated_conjecture,
    ~ coll(esk24_0,esk26_0,esk27_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_67,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_65]),c_0_65])]) ).

cnf(c_0_68,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GEO554+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 21:14:25 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.57  start to proof: theBenchmark
% 0.68/0.85  % Version  : CSE_E---1.5
% 0.68/0.85  % Problem  : theBenchmark.p
% 0.68/0.85  % Proof found
% 0.68/0.85  % SZS status Theorem for theBenchmark.p
% 0.68/0.85  % SZS output start Proof
% See solution above
% 0.68/0.86  % Total time : 0.273000 s
% 0.68/0.86  % SZS output end Proof
% 0.68/0.86  % Total time : 0.278000 s
%------------------------------------------------------------------------------