TSTP Solution File: GRP776+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : GRP776+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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  : 300s
% DateTime : Mon May 20 20:51:15 EDT 2024

% Result   : Theorem 113.25s 14.88s
% Output   : CNFRefutation 113.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  176 (  34 unt;   0 def)
%            Number of atoms       :  406 ( 124 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  440 ( 210   ~; 206   |;   9   &)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :  227 (  14 sgn  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(sos09,axiom,
    ! [X1,X2] :
      ( ( h(X2)
        & h(X1) )
     => h(sum(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos09) ).

fof(sos18,axiom,
    ! [X1,X2] : f(product(X2,X1)) = sum(f(X2),f(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos18) ).

fof(sos10,axiom,
    ! [X1,X2] :
      ( h(X2)
     => h(opp(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos10) ).

fof(sos05,axiom,
    ! [X2] :
      ( g(X2)
     => product(eh,X2) = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos05) ).

fof(sos07,axiom,
    ! [X2] :
      ( g(X2)
     => product(X2,inv(X2)) = eh ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos07) ).

fof(sos08,axiom,
    ! [X2] :
      ( g(X2)
     => product(inv(X2),X2) = eh ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos08) ).

fof(sos17,axiom,
    ! [X2] :
      ( g(X2)
     => h(f(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos17) ).

fof(sos15,axiom,
    ! [X2] :
      ( h(X2)
     => sum(X2,opp(X2)) = eg ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos15) ).

fof(sos12,axiom,
    ! [X3,X1,X2] :
      ( ( h(X2)
        & h(X1)
        & h(X3) )
     => sum(sum(X2,X1),X3) = sum(X2,sum(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos12) ).

fof(sos11,axiom,
    h(eg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos11) ).

fof(sos03,axiom,
    g(eh),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos03) ).

fof(sos02,axiom,
    ! [X2] :
      ( g(X2)
     => g(inv(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos02) ).

fof(sos04,axiom,
    ! [X3,X1,X2] :
      ( ( g(X2)
        & g(X1)
        & g(X3) )
     => product(product(X2,X1),X3) = product(X2,product(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos04) ).

fof(sos06,axiom,
    ! [X2] :
      ( g(X2)
     => product(X2,eh) = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos06) ).

fof(sos01,axiom,
    ! [X1,X2] :
      ( ( g(X2)
        & g(X1) )
     => g(product(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos01) ).

fof(sos14,axiom,
    ! [X2] :
      ( h(X2)
     => sum(X2,eg) = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos14) ).

fof(sos16,axiom,
    ! [X2] :
      ( h(X2)
     => sum(opp(X2),X2) = eg ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos16) ).

fof(goals,conjecture,
    ! [X4] :
      ( f(eh) = eg
      & ( ~ g(X4)
        | f(inv(X4)) = opp(f(X4)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(sos13,axiom,
    ! [X2] :
      ( h(X2)
     => sum(eg,X2) = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos13) ).

fof(c_0_19,plain,
    ! [X15,X16] :
      ( ~ h(X16)
      | ~ h(X15)
      | h(sum(X16,X15)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos09])])]) ).

fof(c_0_20,plain,
    ! [X27,X28] : f(product(X28,X27)) = sum(f(X28),f(X27)),
    inference(variable_rename,[status(thm)],[sos18]) ).

fof(c_0_21,plain,
    ! [X17,X18] :
      ( ~ h(X18)
      | h(opp(X17)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos10])])]) ).

fof(c_0_22,plain,
    ! [X11] :
      ( ~ g(X11)
      | product(eh,X11) = X11 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos05])])]) ).

fof(c_0_23,plain,
    ! [X13] :
      ( ~ g(X13)
      | product(X13,inv(X13)) = eh ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos07])])]) ).

cnf(c_0_24,plain,
    ( h(sum(X1,X2))
    | ~ h(X1)
    | ~ h(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_25,plain,
    f(product(X1,X2)) = sum(f(X1),f(X2)),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_26,plain,
    ! [X14] :
      ( ~ g(X14)
      | product(inv(X14),X14) = eh ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos08])])]) ).

fof(c_0_27,plain,
    ! [X26] :
      ( ~ g(X26)
      | h(f(X26)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos17])])]) ).

fof(c_0_28,plain,
    ! [X24] :
      ( ~ h(X24)
      | sum(X24,opp(X24)) = eg ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos15])])]) ).

fof(c_0_29,plain,
    ! [X19,X20,X21] :
      ( ~ h(X21)
      | ~ h(X20)
      | ~ h(X19)
      | sum(sum(X21,X20),X19) = sum(X21,sum(X20,X19)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos12])])]) ).

cnf(c_0_30,plain,
    ( h(opp(X2))
    | ~ h(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_31,plain,
    h(eg),
    inference(split_conjunct,[status(thm)],[sos11]) ).

cnf(c_0_32,plain,
    ( product(eh,X1) = X1
    | ~ g(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_33,plain,
    ( product(X1,inv(X1)) = eh
    | ~ g(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_34,plain,
    g(eh),
    inference(split_conjunct,[status(thm)],[sos03]) ).

fof(c_0_35,plain,
    ! [X7] :
      ( ~ g(X7)
      | g(inv(X7)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos02])])]) ).

cnf(c_0_36,plain,
    ( h(f(product(X1,X2)))
    | ~ h(f(X2))
    | ~ h(f(X1)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_37,plain,
    ( product(inv(X1),X1) = eh
    | ~ g(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_38,plain,
    ( h(f(X1))
    | ~ g(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_39,plain,
    ! [X8,X9,X10] :
      ( ~ g(X10)
      | ~ g(X9)
      | ~ g(X8)
      | product(product(X10,X9),X8) = product(X10,product(X9,X8)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos04])])]) ).

cnf(c_0_40,plain,
    ( sum(X1,opp(X1)) = eg
    | ~ h(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_41,plain,
    ( sum(sum(X1,X2),X3) = sum(X1,sum(X2,X3))
    | ~ h(X1)
    | ~ h(X2)
    | ~ h(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_42,plain,
    h(opp(X1)),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_43,plain,
    ( inv(eh) = eh
    | ~ g(inv(eh)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).

cnf(c_0_44,plain,
    ( g(inv(X1))
    | ~ g(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_45,plain,
    ( h(f(eh))
    | ~ h(f(inv(X1)))
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).

cnf(c_0_46,plain,
    ( product(product(X1,X2),X3) = product(X1,product(X2,X3))
    | ~ g(X1)
    | ~ g(X2)
    | ~ g(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

fof(c_0_47,plain,
    ! [X12] :
      ( ~ g(X12)
      | product(X12,eh) = X12 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos06])])]) ).

fof(c_0_48,plain,
    ! [X5,X6] :
      ( ~ g(X6)
      | ~ g(X5)
      | g(product(X6,X5)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos01])])]) ).

cnf(c_0_49,plain,
    ( sum(X1,sum(X2,opp(sum(X1,X2)))) = eg
    | ~ h(X2)
    | ~ h(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]),c_0_24]) ).

cnf(c_0_50,plain,
    inv(eh) = eh,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_34])]) ).

cnf(c_0_51,plain,
    ( h(f(eh))
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_38]),c_0_44]) ).

cnf(c_0_52,plain,
    ( product(X1,product(inv(X1),X2)) = product(eh,X2)
    | ~ g(X2)
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_33]),c_0_44]) ).

cnf(c_0_53,plain,
    ( product(X1,eh) = X1
    | ~ g(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_54,plain,
    ( g(product(X1,X2))
    | ~ g(X1)
    | ~ g(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_55,plain,
    ( sum(f(X1),sum(f(X2),opp(f(product(X1,X2))))) = eg
    | ~ h(f(X2))
    | ~ h(f(X1)) ),
    inference(spm,[status(thm)],[c_0_49,c_0_25]) ).

cnf(c_0_56,plain,
    product(eh,eh) = eh,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_50]),c_0_34])]) ).

cnf(c_0_57,plain,
    h(f(eh)),
    inference(spm,[status(thm)],[c_0_51,c_0_34]) ).

cnf(c_0_58,plain,
    ( product(eh,inv(inv(X1))) = product(X1,eh)
    | ~ g(inv(inv(X1)))
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_33]),c_0_44]) ).

cnf(c_0_59,plain,
    ( product(X1,product(X2,eh)) = product(X1,X2)
    | ~ g(X2)
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_46]),c_0_34])]),c_0_54]) ).

fof(c_0_60,plain,
    ! [X23] :
      ( ~ h(X23)
      | sum(X23,eg) = X23 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos14])])]) ).

cnf(c_0_61,plain,
    sum(f(eh),sum(f(eh),opp(f(eh)))) = eg,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).

cnf(c_0_62,plain,
    ( inv(inv(X1)) = product(X1,eh)
    | ~ g(inv(inv(X1)))
    | ~ g(X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_58]) ).

cnf(c_0_63,plain,
    ( product(eh,X1) = product(X1,eh)
    | ~ g(product(X1,eh))
    | ~ g(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_59]),c_0_34])]) ).

cnf(c_0_64,plain,
    ( product(inv(X1),product(X1,X2)) = product(eh,X2)
    | ~ g(X2)
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_37]),c_0_44]) ).

fof(c_0_65,plain,
    ! [X25] :
      ( ~ h(X25)
      | sum(opp(X25),X25) = eg ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos16])])]) ).

cnf(c_0_66,plain,
    ( sum(X1,eg) = X1
    | ~ h(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_67,plain,
    sum(f(eh),eg) = eg,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_40]),c_0_57])]) ).

cnf(c_0_68,plain,
    ( inv(inv(X1)) = product(X1,eh)
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_44]),c_0_44]) ).

cnf(c_0_69,plain,
    ( g(product(X1,product(X2,X3)))
    | ~ g(X3)
    | ~ g(X2)
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_46]),c_0_54]) ).

cnf(c_0_70,plain,
    ( product(eh,X1) = product(X1,eh)
    | ~ g(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_54]),c_0_34])]) ).

cnf(c_0_71,plain,
    ( product(X1,product(X2,inv(product(X1,X2)))) = eh
    | ~ g(inv(product(X1,X2)))
    | ~ g(X2)
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_46]),c_0_54]) ).

cnf(c_0_72,plain,
    ( product(inv(inv(X1)),eh) = product(eh,X1)
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_37]),c_0_44]) ).

cnf(c_0_73,plain,
    ( sum(sum(X1,sum(X2,X3)),X4) = sum(sum(X1,X2),sum(X3,X4))
    | ~ h(X4)
    | ~ h(X3)
    | ~ h(X2)
    | ~ h(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_41]),c_0_24]) ).

cnf(c_0_74,plain,
    ( h(sum(X1,sum(X2,X3)))
    | ~ h(X3)
    | ~ h(X2)
    | ~ h(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_41]),c_0_24]) ).

cnf(c_0_75,plain,
    ( sum(opp(X1),X1) = eg
    | ~ h(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_76,plain,
    f(eh) = eg,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_57])]) ).

cnf(c_0_77,plain,
    ( inv(product(X1,eh)) = product(inv(X1),eh)
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_68]),c_0_44]) ).

cnf(c_0_78,plain,
    ( g(product(X1,product(eh,X2)))
    | ~ g(X2)
    | ~ g(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_34])]) ).

cnf(c_0_79,plain,
    ( product(eh,product(X1,inv(product(X2,X1)))) = product(inv(X2),eh)
    | ~ g(inv(product(X2,X1)))
    | ~ g(X2)
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_71]),c_0_54]) ).

cnf(c_0_80,plain,
    ( inv(inv(X1)) = product(eh,X1)
    | ~ g(inv(inv(X1)))
    | ~ g(X1) ),
    inference(spm,[status(thm)],[c_0_53,c_0_72]) ).

cnf(c_0_81,plain,
    ( h(sum(sum(X1,X2),sum(X3,X4)))
    | ~ h(X4)
    | ~ h(X3)
    | ~ h(X2)
    | ~ h(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_73]),c_0_74]) ).

cnf(c_0_82,plain,
    ( sum(sum(X1,opp(X2)),sum(X2,X3)) = sum(sum(X1,eg),X3)
    | ~ h(X3)
    | ~ h(X2)
    | ~ h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_75]),c_0_42])]) ).

cnf(c_0_83,plain,
    f(product(X1,eh)) = sum(f(X1),eg),
    inference(spm,[status(thm)],[c_0_25,c_0_76]) ).

cnf(c_0_84,plain,
    ( product(inv(X1),eh) = inv(X1)
    | ~ g(X1) ),
    inference(spm,[status(thm)],[c_0_77,c_0_53]) ).

cnf(c_0_85,plain,
    ( g(product(inv(X1),eh))
    | ~ g(inv(product(X1,eh)))
    | ~ g(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_34])]) ).

cnf(c_0_86,plain,
    ( g(product(X1,eh))
    | ~ g(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_70]),c_0_34])]) ).

cnf(c_0_87,plain,
    ( inv(inv(X1)) = product(eh,X1)
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_44]),c_0_44]) ).

cnf(c_0_88,plain,
    ( product(inv(X1),product(eh,X1)) = eh
    | ~ g(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_70]),c_0_56]),c_0_34])]) ).

fof(c_0_89,negated_conjecture,
    ~ ! [X4] :
        ( f(eh) = eg
        & ( ~ g(X4)
          | f(inv(X4)) = opp(f(X4)) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).

cnf(c_0_90,plain,
    ( h(sum(sum(X1,eg),X2))
    | ~ h(X2)
    | ~ h(X3)
    | ~ h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_42])]) ).

cnf(c_0_91,plain,
    ( h(sum(f(X1),eg))
    | ~ g(product(X1,eh)) ),
    inference(spm,[status(thm)],[c_0_38,c_0_83]) ).

cnf(c_0_92,plain,
    ( sum(f(inv(X1)),eg) = f(inv(X1))
    | ~ g(X1) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_93,plain,
    ( g(product(inv(X1),eh))
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_44]),c_0_86]) ).

cnf(c_0_94,plain,
    ( inv(product(eh,X1)) = product(eh,inv(X1))
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_87]),c_0_44]) ).

cnf(c_0_95,plain,
    ( sum(opp(X1),sum(X1,X2)) = sum(eg,X2)
    | ~ h(X2)
    | ~ h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_75]),c_0_42])]) ).

cnf(c_0_96,plain,
    ( product(inv(X1),product(X1,eh)) = eh
    | ~ g(X1) ),
    inference(spm,[status(thm)],[c_0_88,c_0_70]) ).

cnf(c_0_97,plain,
    ( product(X1,product(X2,product(X3,eh))) = product(product(X1,X2),X3)
    | ~ g(X2)
    | ~ g(X1)
    | ~ g(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_59]),c_0_54]),c_0_86]) ).

cnf(c_0_98,plain,
    ( g(product(X1,product(X2,eh)))
    | ~ g(X2)
    | ~ g(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_34])]) ).

fof(c_0_99,negated_conjecture,
    ( ( g(esk1_0)
      | f(eh) != eg )
    & ( f(inv(esk1_0)) != opp(f(esk1_0))
      | f(eh) != eg ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])])])]) ).

cnf(c_0_100,plain,
    ( h(sum(sum(X1,eg),f(X2)))
    | ~ h(X3)
    | ~ h(X1)
    | ~ g(X2) ),
    inference(spm,[status(thm)],[c_0_90,c_0_38]) ).

cnf(c_0_101,plain,
    ( h(f(inv(X1)))
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).

cnf(c_0_102,plain,
    ( product(eh,inv(product(X1,eh))) = inv(product(eh,X1))
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_59]),c_0_34])]),c_0_86]) ).

cnf(c_0_103,plain,
    ( sum(opp(opp(X1)),eg) = sum(eg,X1)
    | ~ h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_75]),c_0_42])]) ).

cnf(c_0_104,plain,
    ( product(inv(X1),product(product(X1,eh),X2)) = product(eh,X2)
    | ~ g(X2)
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_96]),c_0_44]),c_0_86]) ).

cnf(c_0_105,plain,
    ( product(inv(X1),product(product(X1,X2),X3)) = product(eh,product(X2,product(X3,eh)))
    | ~ g(X1)
    | ~ g(X2)
    | ~ g(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_97]),c_0_98]) ).

cnf(c_0_106,negated_conjecture,
    ( g(esk1_0)
    | f(eh) != eg ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_107,plain,
    ( h(sum(sum(X1,eg),f(X2)))
    | ~ h(X1)
    | ~ g(X2)
    | ~ g(X3) ),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

fof(c_0_108,plain,
    ! [X22] :
      ( ~ h(X22)
      | sum(eg,X22) = X22 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos13])])]) ).

cnf(c_0_109,plain,
    ( g(inv(product(eh,X1)))
    | ~ g(inv(product(X1,eh)))
    | ~ g(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_102]),c_0_34])]) ).

cnf(c_0_110,plain,
    ( opp(opp(X1)) = sum(eg,X1)
    | ~ h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_103]),c_0_42])]) ).

cnf(c_0_111,plain,
    ( sum(opp(X1),eg) = sum(eg,opp(X1))
    | ~ h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_40]),c_0_42])]) ).

cnf(c_0_112,plain,
    ( product(product(X1,product(X2,X3)),X4) = product(product(X1,X2),product(X3,X4))
    | ~ g(X4)
    | ~ g(X3)
    | ~ g(X2)
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_46]),c_0_54]) ).

cnf(c_0_113,plain,
    ( product(eh,product(eh,product(X1,eh))) = product(eh,X1)
    | ~ g(X1)
    | ~ g(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_34])]) ).

cnf(c_0_114,negated_conjecture,
    g(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_76])]) ).

cnf(c_0_115,plain,
    ( h(sum(sum(opp(X1),eg),f(X2)))
    | ~ g(X2)
    | ~ g(X3) ),
    inference(spm,[status(thm)],[c_0_107,c_0_42]) ).

cnf(c_0_116,plain,
    ( sum(eg,X1) = X1
    | ~ h(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_117,plain,
    ( g(inv(product(eh,X1)))
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_53]),c_0_44]) ).

cnf(c_0_118,plain,
    ( opp(sum(eg,X1)) = sum(eg,opp(X1))
    | ~ h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_110]),c_0_42])]) ).

cnf(c_0_119,plain,
    ( sum(eg,opp(X1)) = opp(X1)
    | ~ h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_111]),c_0_42])]) ).

cnf(c_0_120,plain,
    ( product(product(inv(X1),X1),product(eh,X2)) = product(eh,X2)
    | ~ g(X2)
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_96]),c_0_34])]),c_0_44]) ).

cnf(c_0_121,negated_conjecture,
    ( product(eh,product(eh,product(esk1_0,eh))) = product(eh,esk1_0)
    | ~ g(X1) ),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_122,negated_conjecture,
    ( h(sum(sum(opp(X1),eg),f(esk1_0)))
    | ~ g(X2) ),
    inference(spm,[status(thm)],[c_0_115,c_0_114]) ).

cnf(c_0_123,plain,
    opp(eg) = eg,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_40]),c_0_42]),c_0_31])]) ).

cnf(c_0_124,plain,
    ( g(inv(product(X1,eh)))
    | ~ g(X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_70]) ).

cnf(c_0_125,plain,
    ( sum(eg,opp(opp(X1))) = opp(opp(X1))
    | ~ h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_42])]) ).

cnf(c_0_126,plain,
    ( sum(X1,sum(opp(X1),X2)) = sum(eg,X2)
    | ~ h(X2)
    | ~ h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_40]),c_0_42])]) ).

cnf(c_0_127,plain,
    ( product(product(X1,eh),X2) = product(eh,product(X1,X2))
    | ~ g(X2)
    | ~ g(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_70]),c_0_34])]) ).

cnf(c_0_128,plain,
    ( product(product(inv(X1),X1),X2) = X2
    | ~ g(X2)
    | ~ g(X1) ),
    inference(spm,[status(thm)],[c_0_120,c_0_32]) ).

cnf(c_0_129,plain,
    ( product(X1,product(X2,product(X3,eh))) = product(X1,product(X2,X3))
    | ~ g(X1)
    | ~ g(X3)
    | ~ g(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_46]),c_0_34])]),c_0_54]) ).

cnf(c_0_130,negated_conjecture,
    product(eh,product(eh,product(esk1_0,eh))) = product(eh,esk1_0),
    inference(spm,[status(thm)],[c_0_121,c_0_114]) ).

cnf(c_0_131,negated_conjecture,
    h(sum(sum(opp(X1),eg),f(esk1_0))),
    inference(spm,[status(thm)],[c_0_122,c_0_114]) ).

cnf(c_0_132,plain,
    sum(eg,eg) = eg,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_123]),c_0_31])]) ).

cnf(c_0_133,plain,
    f(product(eh,X1)) = sum(eg,f(X1)),
    inference(spm,[status(thm)],[c_0_25,c_0_76]) ).

cnf(c_0_134,plain,
    ( h(f(product(eh,X1)))
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_70]),c_0_57])]),c_0_38]) ).

cnf(c_0_135,plain,
    ( g(inv(inv(product(eh,X1))))
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_102]),c_0_124]) ).

cnf(c_0_136,plain,
    ( sum(eg,opp(opp(opp(X1)))) = opp(opp(opp(X1)))
    | ~ h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_125]),c_0_42])]) ).

cnf(c_0_137,plain,
    ( sum(eg,opp(opp(X1))) = sum(X1,eg)
    | ~ h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_40]),c_0_42]),c_0_42])]) ).

cnf(c_0_138,plain,
    ( sum(X1,sum(X2,eg)) = sum(X1,X2)
    | ~ h(X2)
    | ~ h(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_41]),c_0_31])]),c_0_24]) ).

cnf(c_0_139,plain,
    ( sum(f(X1),sum(f(X2),X3)) = sum(f(product(X1,X2)),X3)
    | ~ h(f(X2))
    | ~ h(f(X1))
    | ~ h(X3) ),
    inference(spm,[status(thm)],[c_0_41,c_0_25]) ).

cnf(c_0_140,plain,
    ( product(eh,product(eh,X1)) = X1
    | ~ g(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_50]),c_0_50]),c_0_34]),c_0_34])]) ).

cnf(c_0_141,negated_conjecture,
    product(eh,product(eh,esk1_0)) = product(eh,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_34]),c_0_114])]) ).

cnf(c_0_142,negated_conjecture,
    h(sum(eg,f(esk1_0))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_123]),c_0_132]) ).

cnf(c_0_143,plain,
    ( sum(eg,f(X1)) = f(X1)
    | ~ g(X1) ),
    inference(spm,[status(thm)],[c_0_133,c_0_32]) ).

cnf(c_0_144,plain,
    ( h(f(product(X1,product(X2,X3))))
    | ~ h(f(product(X1,X2)))
    | ~ g(X3)
    | ~ g(X2)
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_46]),c_0_38]) ).

cnf(c_0_145,plain,
    ( h(f(product(X1,eh)))
    | ~ g(X1) ),
    inference(spm,[status(thm)],[c_0_134,c_0_70]) ).

cnf(c_0_146,plain,
    ( inv(product(X1,eh)) = product(eh,inv(X1))
    | ~ g(X1) ),
    inference(spm,[status(thm)],[c_0_94,c_0_70]) ).

cnf(c_0_147,plain,
    ( g(inv(inv(X1)))
    | ~ g(X1) ),
    inference(spm,[status(thm)],[c_0_135,c_0_32]) ).

cnf(c_0_148,plain,
    ( g(inv(inv(inv(product(eh,X1)))))
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_102]),c_0_124]) ).

cnf(c_0_149,plain,
    ( sum(eg,opp(opp(opp(opp(X1))))) = opp(opp(opp(opp(X1))))
    | ~ h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_136]),c_0_42])]) ).

cnf(c_0_150,plain,
    ( opp(opp(opp(X1))) = sum(opp(X1),eg)
    | ~ h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_42])]) ).

cnf(c_0_151,plain,
    ( opp(opp(X1)) = sum(X1,eg)
    | ~ h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_137]),c_0_42])]) ).

cnf(c_0_152,plain,
    ( sum(f(product(X1,X2)),eg) = f(product(X1,X2))
    | ~ h(f(X2))
    | ~ h(f(X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_25]),c_0_31])]) ).

cnf(c_0_153,negated_conjecture,
    product(eh,esk1_0) = esk1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_114])]) ).

cnf(c_0_154,negated_conjecture,
    h(f(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_114])]) ).

cnf(c_0_155,plain,
    ( h(f(product(X1,X2)))
    | ~ g(X2)
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_32]),c_0_34])]),c_0_145]) ).

cnf(c_0_156,plain,
    ( product(eh,inv(inv(inv(X1)))) = inv(product(eh,X1))
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_72]),c_0_147]) ).

cnf(c_0_157,plain,
    ( g(inv(inv(inv(X1))))
    | ~ g(X1) ),
    inference(spm,[status(thm)],[c_0_148,c_0_32]) ).

cnf(c_0_158,plain,
    ( opp(opp(opp(opp(X1)))) = sum(opp(opp(X1)),eg)
    | ~ h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_137]),c_0_42])]) ).

cnf(c_0_159,plain,
    ( opp(opp(sum(X1,eg))) = sum(sum(X1,eg),eg)
    | ~ h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_42])]) ).

cnf(c_0_160,negated_conjecture,
    sum(f(esk1_0),eg) = f(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]),c_0_76]),c_0_31])]) ).

cnf(c_0_161,plain,
    ( sum(eg,sum(X1,X2)) = sum(X1,X2)
    | ~ h(X2)
    | ~ h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_116]),c_0_31])]) ).

cnf(c_0_162,plain,
    ( h(f(inv(product(eh,X1))))
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_34])]),c_0_157]) ).

cnf(c_0_163,plain,
    ( product(product(X1,X2),inv(X2)) = product(X1,eh)
    | ~ g(X2)
    | ~ g(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_52]),c_0_56]),c_0_34])]),c_0_44]) ).

cnf(c_0_164,plain,
    ( opp(opp(opp(sum(X1,eg)))) = sum(opp(sum(X1,eg)),eg)
    | ~ h(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_151]),c_0_42])]) ).

cnf(c_0_165,negated_conjecture,
    opp(opp(f(esk1_0))) = f(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_160]),c_0_154])]) ).

cnf(c_0_166,plain,
    ( sum(eg,f(product(X1,X2))) = f(product(X1,X2))
    | ~ h(f(X2))
    | ~ h(f(X1)) ),
    inference(spm,[status(thm)],[c_0_161,c_0_25]) ).

cnf(c_0_167,negated_conjecture,
    product(eh,inv(esk1_0)) = inv(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_153]),c_0_114])]) ).

cnf(c_0_168,negated_conjecture,
    h(f(inv(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_153]),c_0_114])]) ).

cnf(c_0_169,negated_conjecture,
    ( f(inv(esk1_0)) != opp(f(esk1_0))
    | f(eh) != eg ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_170,plain,
    ( sum(opp(f(X1)),f(product(X1,X2))) = sum(eg,f(X2))
    | ~ h(f(X2))
    | ~ h(f(X1)) ),
    inference(spm,[status(thm)],[c_0_95,c_0_25]) ).

cnf(c_0_171,negated_conjecture,
    product(esk1_0,inv(esk1_0)) = eh,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_153]),c_0_56]),c_0_114]),c_0_34])]) ).

cnf(c_0_172,negated_conjecture,
    sum(opp(f(esk1_0)),eg) = opp(f(esk1_0)),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_160]),c_0_154])]),c_0_165]) ).

cnf(c_0_173,negated_conjecture,
    sum(eg,f(inv(esk1_0))) = f(inv(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]),c_0_76]),c_0_31])]) ).

cnf(c_0_174,negated_conjecture,
    opp(f(esk1_0)) != f(inv(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_76])]) ).

cnf(c_0_175,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_76]),c_0_168]),c_0_154])]),c_0_172]),c_0_173]),c_0_174]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GRP776+1 : TPTP v8.2.0. Released v4.1.0.
% 0.04/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n017.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    : 300
% 0.14/0.35  % DateTime   : Sun May 19 04:17:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 113.25/14.88  # Version: 3.1.0
% 113.25/14.88  # Preprocessing class: FSMSSMSSSSSNFFN.
% 113.25/14.88  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 113.25/14.88  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 113.25/14.88  # Starting new_bool_3 with 300s (1) cores
% 113.25/14.88  # Starting new_bool_1 with 300s (1) cores
% 113.25/14.88  # Starting sh5l with 300s (1) cores
% 113.25/14.88  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 6231 completed with status 0
% 113.25/14.88  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 113.25/14.88  # Preprocessing class: FSMSSMSSSSSNFFN.
% 113.25/14.88  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 113.25/14.88  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 113.25/14.88  # No SInE strategy applied
% 113.25/14.88  # Search class: FHHSF-FFSF21-SFFFFFNN
% 113.25/14.88  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 113.25/14.88  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 113.25/14.88  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 113.25/14.88  # Starting new_bool_3 with 136s (1) cores
% 113.25/14.88  # Starting new_bool_1 with 136s (1) cores
% 113.25/14.88  # Starting sh5l with 136s (1) cores
% 113.25/14.88  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 6235 completed with status 0
% 113.25/14.88  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 113.25/14.88  # Preprocessing class: FSMSSMSSSSSNFFN.
% 113.25/14.88  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 113.25/14.88  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 113.25/14.88  # No SInE strategy applied
% 113.25/14.88  # Search class: FHHSF-FFSF21-SFFFFFNN
% 113.25/14.88  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 113.25/14.88  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 113.25/14.88  # Preprocessing time       : 0.001 s
% 113.25/14.88  # Presaturation interreduction done
% 113.25/14.88  
% 113.25/14.88  # Proof found!
% 113.25/14.88  # SZS status Theorem
% 113.25/14.88  # SZS output start CNFRefutation
% See solution above
% 113.33/14.88  # Parsed axioms                        : 19
% 113.33/14.88  # Removed by relevancy pruning/SinE    : 0
% 113.33/14.88  # Initial clauses                      : 20
% 113.33/14.88  # Removed in clause preprocessing      : 0
% 113.33/14.88  # Initial clauses in saturation        : 20
% 113.33/14.88  # Processed clauses                    : 19444
% 113.33/14.88  # ...of these trivial                  : 905
% 113.33/14.88  # ...subsumed                          : 16868
% 113.33/14.88  # ...remaining for further processing  : 1670
% 113.33/14.88  # Other redundant clauses eliminated   : 0
% 113.33/14.88  # Clauses deleted for lack of memory   : 0
% 113.33/14.88  # Backward-subsumed                    : 51
% 113.33/14.88  # Backward-rewritten                   : 45
% 113.33/14.88  # Generated clauses                    : 848069
% 113.33/14.88  # ...of the previous two non-redundant : 802200
% 113.33/14.88  # ...aggressively subsumed             : 0
% 113.33/14.88  # Contextual simplify-reflections      : 931
% 113.33/14.88  # Paramodulations                      : 848069
% 113.33/14.88  # Factorizations                       : 0
% 113.33/14.88  # NegExts                              : 0
% 113.33/14.88  # Equation resolutions                 : 0
% 113.33/14.88  # Disequality decompositions           : 0
% 113.33/14.88  # Total rewrite steps                  : 997340
% 113.33/14.88  # ...of those cached                   : 994380
% 113.33/14.88  # Propositional unsat checks           : 0
% 113.33/14.88  #    Propositional check models        : 0
% 113.33/14.88  #    Propositional check unsatisfiable : 0
% 113.33/14.88  #    Propositional clauses             : 0
% 113.33/14.88  #    Propositional clauses after purity: 0
% 113.33/14.88  #    Propositional unsat core size     : 0
% 113.33/14.88  #    Propositional preprocessing time  : 0.000
% 113.33/14.88  #    Propositional encoding time       : 0.000
% 113.33/14.88  #    Propositional solver time         : 0.000
% 113.33/14.88  #    Success case prop preproc time    : 0.000
% 113.33/14.88  #    Success case prop encoding time   : 0.000
% 113.33/14.88  #    Success case prop solver time     : 0.000
% 113.33/14.88  # Current number of processed clauses  : 1554
% 113.33/14.88  #    Positive orientable unit clauses  : 84
% 113.33/14.88  #    Positive unorientable unit clauses: 0
% 113.33/14.88  #    Negative unit clauses             : 1
% 113.33/14.88  #    Non-unit-clauses                  : 1469
% 113.33/14.88  # Current number of unprocessed clauses: 782082
% 113.33/14.88  # ...number of literals in the above   : 4542901
% 113.33/14.88  # Current number of archived formulas  : 0
% 113.33/14.88  # Current number of archived clauses   : 116
% 113.33/14.88  # Clause-clause subsumption calls (NU) : 839922
% 113.33/14.88  # Rec. Clause-clause subsumption calls : 436567
% 113.33/14.88  # Non-unit clause-clause subsumptions  : 17848
% 113.33/14.88  # Unit Clause-clause subsumption calls : 4872
% 113.33/14.88  # Rewrite failures with RHS unbound    : 0
% 113.33/14.88  # BW rewrite match attempts            : 1170
% 113.33/14.88  # BW rewrite match successes           : 39
% 113.33/14.88  # Condensation attempts                : 0
% 113.33/14.88  # Condensation successes               : 0
% 113.33/14.88  # Termbank termtop insertions          : 25899526
% 113.33/14.88  # Search garbage collected termcells   : 203
% 113.33/14.88  
% 113.33/14.88  # -------------------------------------------------
% 113.33/14.88  # User time                : 13.433 s
% 113.33/14.88  # System time              : 0.576 s
% 113.33/14.88  # Total time               : 14.009 s
% 113.33/14.88  # Maximum resident set size: 1736 pages
% 113.33/14.88  
% 113.33/14.88  # -------------------------------------------------
% 113.33/14.88  # User time                : 69.243 s
% 113.33/14.88  # System time              : 1.100 s
% 113.33/14.88  # Total time               : 70.343 s
% 113.33/14.88  # Maximum resident set size: 1700 pages
% 113.33/14.88  % E---3.1 exiting
% 113.33/14.88  % E exiting
%------------------------------------------------------------------------------