TSTP Solution File: GEO644+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO644+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n016.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 04:06:53 EDT 2022

% Result   : Theorem 0.26s 2.44s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  113 (  23 unt;   0 def)
%            Number of atoms       :  258 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  237 (  92   ~;  89   |;  32   &)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :  424 (  15 sgn 224   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE0061,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13,X14] :
      ( ( para(X2,X3,X1,X4)
        & para(X1,X2,X3,X4)
        & midp(X5,X3,X4)
        & midp(X6,X2,X1)
        & coll(X13,X1,X3)
        & coll(X13,X4,X6)
        & coll(X14,X2,X5)
        & coll(X14,X1,X3) )
     => cong(X1,X13,X13,X14) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULLmoreE0061) ).

fof(ruleD63,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X1,X2)
        & midp(X7,X3,X4) )
     => para(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).

fof(ruleD11,axiom,
    ! [X1,X2,X7] :
      ( midp(X7,X2,X1)
     => midp(X7,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

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

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

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

fof(ruleD25,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( cong(X1,X2,X3,X4)
        & cong(X3,X4,X5,X6) )
     => cong(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).

fof(ruleD68,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).

fof(ruleD23,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).

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

fof(ruleD24,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).

fof(ruleD67,axiom,
    ! [X1,X2,X3] :
      ( ( cong(X1,X2,X1,X3)
        & coll(X1,X2,X3) )
     => midp(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).

fof(ruleD64,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X1,X2)
        & para(X1,X3,X2,X4)
        & para(X1,X4,X2,X3) )
     => midp(X7,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

fof(ruleD21,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

fof(ruleD74,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & perp(X9,X10,X11,X12) )
     => perp(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).

fof(ruleD5,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

fof(ruleD56,axiom,
    ! [X1,X2,X9,X10] :
      ( ( cong(X1,X9,X2,X9)
        & cong(X1,X10,X2,X10) )
     => perp(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

fof(ruleD10,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( para(X1,X2,X3,X4)
        & perp(X3,X4,X5,X6) )
     => perp(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).

fof(ruleD52,axiom,
    ! [X1,X2,X3,X7] :
      ( ( perp(X1,X2,X2,X3)
        & midp(X7,X1,X3) )
     => cong(X1,X7,X2,X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).

fof(c_0_23,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13,X14] :
        ( ( para(X2,X3,X1,X4)
          & para(X1,X2,X3,X4)
          & midp(X5,X3,X4)
          & midp(X6,X2,X1)
          & coll(X13,X1,X3)
          & coll(X13,X4,X6)
          & coll(X14,X2,X5)
          & coll(X14,X1,X3) )
       => cong(X1,X13,X13,X14) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE0061]) ).

fof(c_0_24,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ midp(X12,X8,X9)
      | ~ midp(X12,X10,X11)
      | para(X8,X10,X9,X11) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])])]) ).

fof(c_0_25,negated_conjecture,
    ( para(esk2_0,esk3_0,esk1_0,esk4_0)
    & para(esk1_0,esk2_0,esk3_0,esk4_0)
    & midp(esk5_0,esk3_0,esk4_0)
    & midp(esk6_0,esk2_0,esk1_0)
    & coll(esk7_0,esk1_0,esk3_0)
    & coll(esk7_0,esk4_0,esk6_0)
    & coll(esk8_0,esk2_0,esk5_0)
    & coll(esk8_0,esk1_0,esk3_0)
    & ~ cong(esk1_0,esk7_0,esk7_0,esk8_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).

fof(c_0_26,plain,
    ! [X8,X9,X10] :
      ( ~ midp(X10,X9,X8)
      | midp(X10,X8,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

fof(c_0_27,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X15,X16,X13,X14,X19,X20,X17,X18) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

fof(c_0_28,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ~ para(X11,X12,X13,X14)
      | eqangle(X11,X12,X15,X16,X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])])]) ).

cnf(c_0_29,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X2,X4)
    | ~ midp(X5,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_30,negated_conjecture,
    midp(esk5_0,esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_31,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_32,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ~ eqangle(X11,X12,X15,X16,X13,X14,X15,X16)
      | para(X11,X12,X13,X14) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])])]) ).

cnf(c_0_33,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_34,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_35,plain,
    ! [X5,X6,X7,X8] :
      ( ~ para(X5,X6,X7,X8)
      | para(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_36,negated_conjecture,
    ( para(X1,esk3_0,X2,esk4_0)
    | ~ midp(esk5_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_37,negated_conjecture,
    midp(esk5_0,esk4_0,esk3_0),
    inference(spm,[status(thm)],[c_0_31,c_0_30]) ).

cnf(c_0_38,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_39,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_40,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_41,negated_conjecture,
    para(esk4_0,esk3_0,esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

fof(c_0_42,plain,
    ! [X4,X5,X6] :
      ( ~ para(X4,X5,X4,X6)
      | coll(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_43,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    para(esk4_0,esk3_0,esk4_0,esk3_0),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

fof(c_0_45,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_46,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

fof(c_0_48,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_49,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_50,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

fof(c_0_51,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ cong(X7,X8,X9,X10)
      | ~ cong(X9,X10,X11,X12)
      | cong(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).

fof(c_0_52,plain,
    ! [X4,X5,X6] :
      ( ~ midp(X4,X5,X6)
      | cong(X4,X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

fof(c_0_53,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cong(X5,X6,X7,X8)
      | cong(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).

fof(c_0_54,plain,
    ! [X5,X6,X7,X8] :
      ( ~ coll(X5,X6,X7)
      | ~ coll(X5,X6,X8)
      | coll(X7,X8,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_55,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_56,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_57,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X3,X4)
    | ~ cong(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_58,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

fof(c_0_59,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cong(X5,X6,X7,X8)
      | cong(X7,X8,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).

cnf(c_0_60,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

fof(c_0_61,plain,
    ! [X4,X5,X6] :
      ( ~ cong(X4,X5,X4,X6)
      | ~ coll(X4,X5,X6)
      | midp(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_62,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_63,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_64,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X3,X5)
    | ~ midp(X3,X5,X4) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_65,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_66,plain,
    ( cong(X1,X2,X3,X1)
    | ~ midp(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_60,c_0_58]) ).

fof(c_0_67,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ midp(X12,X8,X9)
      | ~ para(X8,X10,X9,X11)
      | ~ para(X8,X11,X9,X10)
      | midp(X12,X10,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

cnf(c_0_68,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_69,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_63])]) ).

cnf(c_0_70,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X4,X3)
    | ~ midp(X1,X2,X4) ),
    inference(spm,[status(thm)],[c_0_64,c_0_58]) ).

cnf(c_0_71,negated_conjecture,
    midp(esk6_0,esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_72,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X13,X14,X17,X18,X15,X16,X19,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).

cnf(c_0_73,plain,
    ( cong(X1,X2,X2,X3)
    | ~ midp(X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_74,plain,
    ( midp(X1,X2,X3)
    | ~ para(X4,X3,X5,X2)
    | ~ para(X4,X2,X5,X3)
    | ~ midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_75,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69])]) ).

cnf(c_0_76,negated_conjecture,
    ( cong(esk6_0,X1,esk6_0,esk1_0)
    | ~ midp(esk6_0,X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

fof(c_0_77,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | ~ perp(X17,X18,X19,X20)
      | perp(X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])])])]) ).

cnf(c_0_78,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

fof(c_0_79,plain,
    ! [X5,X6,X7,X8] :
      ( ~ para(X5,X6,X7,X8)
      | para(X7,X8,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

cnf(c_0_80,negated_conjecture,
    ( para(X1,esk2_0,X2,esk1_0)
    | ~ midp(esk6_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_29,c_0_71]) ).

fof(c_0_81,plain,
    ! [X11,X12,X13,X14] :
      ( ~ cong(X11,X13,X12,X13)
      | ~ cong(X11,X14,X12,X14)
      | perp(X11,X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).

cnf(c_0_82,plain,
    ( cong(X1,X2,X3,X2)
    | ~ midp(X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_73]) ).

cnf(c_0_83,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_47]),c_0_47])]) ).

cnf(c_0_84,negated_conjecture,
    ( midp(esk6_0,X1,esk1_0)
    | ~ midp(esk6_0,X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_85,negated_conjecture,
    midp(esk6_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_31,c_0_71]) ).

cnf(c_0_86,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_87,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_78,c_0_34]) ).

fof(c_0_88,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ para(X7,X8,X9,X10)
      | ~ perp(X9,X10,X11,X12)
      | perp(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])]) ).

cnf(c_0_89,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_90,negated_conjecture,
    para(esk2_0,esk2_0,esk1_0,esk1_0),
    inference(spm,[status(thm)],[c_0_80,c_0_71]) ).

cnf(c_0_91,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_92,plain,
    ( midp(X1,X2,X2)
    | ~ midp(X2,X1,X1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_82]) ).

cnf(c_0_93,negated_conjecture,
    midp(esk6_0,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]) ).

cnf(c_0_94,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_95,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_40,c_0_47]) ).

cnf(c_0_96,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_97,negated_conjecture,
    para(esk1_0,esk1_0,esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_98,plain,
    ( perp(X1,X1,X2,X3)
    | ~ cong(X1,X2,X1,X2)
    | ~ midp(X1,X3,X3) ),
    inference(spm,[status(thm)],[c_0_91,c_0_58]) ).

cnf(c_0_99,negated_conjecture,
    midp(X1,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_100,negated_conjecture,
    ( perp(X1,X2,X2,X1)
    | ~ perp(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_101,negated_conjecture,
    ( perp(esk1_0,esk1_0,X1,X2)
    | ~ perp(esk2_0,esk2_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_102,plain,
    ( perp(X1,X1,X2,X3)
    | ~ midp(X1,X3,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_58]),c_0_83]) ).

cnf(c_0_103,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_83,c_0_99]) ).

fof(c_0_104,plain,
    ! [X8,X9,X10,X11] :
      ( ~ perp(X8,X9,X9,X10)
      | ~ midp(X11,X8,X10)
      | cong(X8,X11,X9,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])]) ).

cnf(c_0_105,negated_conjecture,
    ( perp(X1,X2,X2,X1)
    | ~ perp(esk2_0,esk2_0,esk1_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_106,plain,
    perp(X1,X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103])]) ).

cnf(c_0_107,plain,
    ( cong(X1,X2,X3,X2)
    | ~ midp(X2,X1,X4)
    | ~ perp(X1,X3,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_108,negated_conjecture,
    perp(X1,X2,X2,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106])]) ).

cnf(c_0_109,negated_conjecture,
    cong(X1,X2,X3,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_103])]) ).

cnf(c_0_110,negated_conjecture,
    ~ cong(esk1_0,esk7_0,esk7_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_111,negated_conjecture,
    cong(X1,X2,X2,X3),
    inference(spm,[status(thm)],[c_0_60,c_0_109]) ).

cnf(c_0_112,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_111])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GEO644+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.14  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.21/0.35  % DateTime : Sat Jun 18 12:01:07 EDT 2022
% 0.21/0.35  % CPUTime  : 
% 0.26/2.44  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/2.44  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/2.44  # Preprocessing time       : 0.022 s
% 0.26/2.44  
% 0.26/2.44  # Proof found!
% 0.26/2.44  # SZS status Theorem
% 0.26/2.44  # SZS output start CNFRefutation
% See solution above
% 0.26/2.44  # Proof object total steps             : 113
% 0.26/2.44  # Proof object clause steps            : 66
% 0.26/2.44  # Proof object formula steps           : 47
% 0.26/2.44  # Proof object conjectures             : 33
% 0.26/2.44  # Proof object clause conjectures      : 30
% 0.26/2.44  # Proof object formula conjectures     : 3
% 0.26/2.44  # Proof object initial clauses used    : 25
% 0.26/2.44  # Proof object initial formulas used   : 23
% 0.26/2.44  # Proof object generating inferences   : 37
% 0.26/2.44  # Proof object simplifying inferences  : 17
% 0.26/2.44  # Training examples: 0 positive, 0 negative
% 0.26/2.44  # Parsed axioms                        : 95
% 0.26/2.44  # Removed by relevancy pruning/SinE    : 43
% 0.26/2.44  # Initial clauses                      : 75
% 0.26/2.44  # Removed in clause preprocessing      : 0
% 0.26/2.44  # Initial clauses in saturation        : 75
% 0.26/2.44  # Processed clauses                    : 7332
% 0.26/2.44  # ...of these trivial                  : 367
% 0.26/2.44  # ...subsumed                          : 3170
% 0.26/2.44  # ...remaining for further processing  : 3795
% 0.26/2.44  # Other redundant clauses eliminated   : 0
% 0.26/2.44  # Clauses deleted for lack of memory   : 0
% 0.26/2.44  # Backward-subsumed                    : 208
% 0.26/2.44  # Backward-rewritten                   : 2835
% 0.26/2.44  # Generated clauses                    : 62539
% 0.26/2.44  # ...of the previous two non-trivial   : 59608
% 0.26/2.44  # Contextual simplify-reflections      : 149
% 0.26/2.44  # Paramodulations                      : 62539
% 0.26/2.44  # Factorizations                       : 0
% 0.26/2.44  # Equation resolutions                 : 0
% 0.26/2.44  # Current number of processed clauses  : 752
% 0.26/2.44  #    Positive orientable unit clauses  : 168
% 0.26/2.44  #    Positive unorientable unit clauses: 0
% 0.26/2.44  #    Negative unit clauses             : 2
% 0.26/2.44  #    Non-unit-clauses                  : 582
% 0.26/2.44  # Current number of unprocessed clauses: 10319
% 0.26/2.44  # ...number of literals in the above   : 32173
% 0.26/2.44  # Current number of archived formulas  : 0
% 0.26/2.44  # Current number of archived clauses   : 3043
% 0.26/2.44  # Clause-clause subsumption calls (NU) : 1017146
% 0.26/2.44  # Rec. Clause-clause subsumption calls : 860286
% 0.26/2.44  # Non-unit clause-clause subsumptions  : 3410
% 0.26/2.44  # Unit Clause-clause subsumption calls : 33341
% 0.26/2.44  # Rewrite failures with RHS unbound    : 0
% 0.26/2.44  # BW rewrite match attempts            : 8445
% 0.26/2.44  # BW rewrite match successes           : 1252
% 0.26/2.44  # Condensation attempts                : 0
% 0.26/2.44  # Condensation successes               : 0
% 0.26/2.44  # Termbank termtop insertions          : 809184
% 0.26/2.44  
% 0.26/2.44  # -------------------------------------------------
% 0.26/2.44  # User time                : 1.388 s
% 0.26/2.44  # System time              : 0.021 s
% 0.26/2.44  # Total time               : 1.409 s
% 0.26/2.44  # Maximum resident set size: 33328 pages
% 0.26/23.43  eprover: CPU time limit exceeded, terminating
% 0.26/23.43  eprover: CPU time limit exceeded, terminating
% 0.26/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45  eprover: No such file or directory
% 0.26/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45  eprover: No such file or directory
% 0.26/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45  eprover: No such file or directory
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46  eprover: No such file or directory
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48  eprover: No such file or directory
% 0.26/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48  eprover: No such file or directory
% 0.26/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48  eprover: No such file or directory
% 0.26/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49  eprover: No such file or directory
% 0.26/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50  eprover: No such file or directory
% 0.26/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50  eprover: No such file or directory
% 0.26/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50  eprover: No such file or directory
% 0.26/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.51  eprover: No such file or directory
% 0.26/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.51  eprover: No such file or directory
% 0.26/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.51  eprover: No such file or directory
% 0.26/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.52  eprover: No such file or directory
% 0.26/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.52  eprover: No such file or directory
% 0.26/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.52  eprover: No such file or directory
% 0.26/23.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.53  eprover: No such file or directory
%------------------------------------------------------------------------------