TSTP Solution File: SWW268+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWW268+1 : TPTP v8.2.0. Released v5.2.0.
% 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 : Tue May 21 06:42:03 EDT 2024

% Result   : Theorem 14.01s 2.37s
% Output   : CNFRefutation 14.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   49 (  20 unt;   0 def)
%            Number of atoms       :  101 (  68 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   91 (  39   ~;  32   |;   5   &)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-3 aty)
%            Number of variables   :   99 (   7 sgn  56   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_add__scale__eq__noteq,axiom,
    ! [X52,X21,X33,X20,X65,X6] :
      ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X6)
     => ( X65 != c_Groups_Ozero__class_Ozero(X6)
       => ( ( X20 = X33
            & X21 != X52 )
         => c_Groups_Oplus__class_Oplus(X6,X20,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X65),X21)) != c_Groups_Oplus__class_Oplus(X6,X33,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X65),X52)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__scale__eq__noteq) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
    ! [X20,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X20),c_Groups_Ozero__class_Ozero(X6)) = c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
    ! [X20,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => c_Groups_Oplus__class_Oplus(X6,X20,c_Groups_Ozero__class_Ozero(X6)) = X20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J) ).

fof(fact_smult__0__left,axiom,
    ! [X14,X6] :
      ( class_Rings_Ocomm__semiring__0(X6)
     => c_Polynomial_Osmult(X6,c_Groups_Ozero__class_Ozero(X6),X14) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_smult__0__left) ).

fof(fact_add__poly__code_I2_J,axiom,
    ! [X14,X6] :
      ( class_Groups_Ocomm__monoid__add(X6)
     => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X6),X14,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X6))) = X14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__poly__code_I2_J) ).

fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
    class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).

fof(fact_synthetic__div__unique,axiom,
    ! [X65,X13,X21,X14,X6] :
      ( class_Rings_Ocomm__semiring__0(X6)
     => ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X6),X14,c_Polynomial_Osmult(X6,X21,X13)) = c_Polynomial_OpCons(X6,X65,X13)
       => ( X65 = hAPP(c_Polynomial_Opoly(X6,X14),X21)
          & X13 = c_Polynomial_Osynthetic__div(X6,X14,X21) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_synthetic__div__unique) ).

fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
    class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).

fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,axiom,
    class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ocomm__monoid__add) ).

fof(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct) ).

fof(fact_poly__pCons,axiom,
    ! [X5,X14,X20,X6] :
      ( class_Rings_Ocomm__semiring__0(X6)
     => hAPP(c_Polynomial_Opoly(X6,c_Polynomial_OpCons(X6,X20,X14)),X5) = c_Groups_Oplus__class_Oplus(X6,X20,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),hAPP(c_Polynomial_Opoly(X6,X14),X5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__pCons) ).

fof(fact__096_B_By_O_Apoly_A_IpCons_Ac_Acs_J_A0_A_061_Apoly_A_IpCons_Ac_Acs_J_Ay_096,axiom,
    ! [X4] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096_B_By_O_Apoly_A_IpCons_Ac_Acs_J_A0_A_061_Apoly_A_IpCons_Ac_Acs_J_Ay_096) ).

fof(conj_0,conjecture,
    ! [X94] :
      ( X94 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
     => hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),X94) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(c_0_13,plain,
    ! [X52,X21,X33,X20,X65,X6] :
      ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X6)
     => ( X65 != c_Groups_Ozero__class_Ozero(X6)
       => ( ( X20 = X33
            & X21 != X52 )
         => c_Groups_Oplus__class_Oplus(X6,X20,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X65),X21)) != c_Groups_Oplus__class_Oplus(X6,X33,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X65),X52)) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_add__scale__eq__noteq]) ).

fof(c_0_14,plain,
    ! [X1445,X1446,X1447,X1448,X1449,X1450] :
      ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1450)
      | X1449 = c_Groups_Ozero__class_Ozero(X1450)
      | X1448 != X1447
      | X1446 = X1445
      | c_Groups_Oplus__class_Oplus(X1450,X1448,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1450),X1449),X1446)) != c_Groups_Oplus__class_Oplus(X1450,X1447,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1450),X1449),X1445)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).

fof(c_0_15,plain,
    ! [X1159,X1160] :
      ( ~ class_Rings_Ocomm__semiring__1(X1160)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1160),X1159),c_Groups_Ozero__class_Ozero(X1160)) = c_Groups_Ozero__class_Ozero(X1160) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J])])]) ).

fof(c_0_16,plain,
    ! [X1267,X1268] :
      ( ~ class_Rings_Ocomm__semiring__1(X1268)
      | c_Groups_Oplus__class_Oplus(X1268,X1267,c_Groups_Ozero__class_Ozero(X1268)) = X1267 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J])])]) ).

fof(c_0_17,plain,
    ! [X717,X718] :
      ( ~ class_Rings_Ocomm__semiring__0(X718)
      | c_Polynomial_Osmult(X718,c_Groups_Ozero__class_Ozero(X718),X717) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X718)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__0__left])])]) ).

fof(c_0_18,plain,
    ! [X1380,X1381] :
      ( ~ class_Groups_Ocomm__monoid__add(X1381)
      | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1381),X1380,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1381))) = X1380 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__poly__code_I2_J])])]) ).

cnf(c_0_19,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | X5 = X6
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
    | X3 != X4
    | c_Groups_Oplus__class_Oplus(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X5)) != c_Groups_Oplus__class_Oplus(X1,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X6)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,plain,
    class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).

cnf(c_0_22,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = X2
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_23,plain,
    ! [X1521,X1522,X1523,X1524,X1525] :
      ( ( X1521 = hAPP(c_Polynomial_Opoly(X1525,X1524),X1523)
        | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1525),X1524,c_Polynomial_Osmult(X1525,X1523,X1522)) != c_Polynomial_OpCons(X1525,X1521,X1522)
        | ~ class_Rings_Ocomm__semiring__0(X1525) )
      & ( X1522 = c_Polynomial_Osynthetic__div(X1525,X1524,X1523)
        | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1525),X1524,c_Polynomial_Osmult(X1525,X1523,X1522)) != c_Polynomial_OpCons(X1525,X1521,X1522)
        | ~ class_Rings_Ocomm__semiring__0(X1525) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_synthetic__div__unique])])])]) ).

cnf(c_0_24,plain,
    ( c_Polynomial_Osmult(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,plain,
    class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).

cnf(c_0_26,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = X2
    | ~ class_Groups_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_27,plain,
    class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ocomm__monoid__add]) ).

cnf(c_0_28,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 = X4
    | c_Groups_Oplus__class_Oplus(X2,X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X3)) != c_Groups_Oplus__class_Oplus(X2,X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X4))
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ),
    inference(er,[status(thm)],[c_0_19]) ).

cnf(c_0_29,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_30,plain,
    c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = X1,
    inference(spm,[status(thm)],[c_0_22,c_0_21]) ).

cnf(c_0_31,plain,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct]) ).

fof(c_0_32,plain,
    ! [X1501,X1502,X1503,X1504] :
      ( ~ class_Rings_Ocomm__semiring__0(X1504)
      | hAPP(c_Polynomial_Opoly(X1504,c_Polynomial_OpCons(X1504,X1503,X1502)),X1501) = c_Groups_Oplus__class_Oplus(X1504,X1503,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1504),X1501),hAPP(c_Polynomial_Opoly(X1504,X1502),X1501))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__pCons])])]) ).

fof(c_0_33,plain,
    ! [X98] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X98),
    inference(variable_rename,[status(thm)],[fact__096_B_By_O_Apoly_A_IpCons_Ac_Acs_J_A0_A_061_Apoly_A_IpCons_Ac_Acs_J_Ay_096]) ).

cnf(c_0_34,plain,
    ( X1 = hAPP(c_Polynomial_Opoly(X2,X3),X4)
    | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),X3,c_Polynomial_Osmult(X2,X4,X5)) != c_Polynomial_OpCons(X2,X1,X5)
    | ~ class_Rings_Ocomm__semiring__0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_35,plain,
    c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_36,plain,
    c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = X1,
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

fof(c_0_37,negated_conjecture,
    ~ ! [X94] :
        ( X94 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
       => hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),X94) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

cnf(c_0_38,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | X2 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),X1)) != X3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31])]) ).

cnf(c_0_39,plain,
    ( hAPP(c_Polynomial_Opoly(X1,c_Polynomial_OpCons(X1,X2,X3)),X4) = c_Groups_Oplus__class_Oplus(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),hAPP(c_Polynomial_Opoly(X1,X3),X4)))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_40,plain,
    hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X1),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_41,plain,
    hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = X1,
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_25])])]) ).

fof(c_0_42,negated_conjecture,
    ( esk28_0 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    & hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),esk28_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).

cnf(c_0_43,plain,
    ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),X2) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | X2 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X3,X1)),X2) != X3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_25])]) ).

cnf(c_0_44,plain,
    hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X1) = v_c____,
    inference(rw,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_45,negated_conjecture,
    hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),esk28_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_46,plain,
    ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_47,negated_conjecture,
    esk28_0 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_48,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWW268+1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n017.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    : 300
% 0.13/0.35  % DateTime   : Sat May 18 19:30:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 14.01/2.37  # Version: 3.1.0
% 14.01/2.37  # Preprocessing class: FMLMSMSMSSSNFFN.
% 14.01/2.37  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.01/2.37  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.01/2.37  # Starting new_bool_3 with 300s (1) cores
% 14.01/2.37  # Starting new_bool_1 with 300s (1) cores
% 14.01/2.37  # Starting sh5l with 300s (1) cores
% 14.01/2.37  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 7011 completed with status 0
% 14.01/2.37  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 14.01/2.37  # Preprocessing class: FMLMSMSMSSSNFFN.
% 14.01/2.37  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.01/2.37  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.01/2.37  # No SInE strategy applied
% 14.01/2.37  # Search class: FGHSM-SSLM32-DFFFFFNN
% 14.01/2.37  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 14.01/2.37  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 14.01/2.37  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 14.01/2.37  # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 14.01/2.37  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 14.01/2.37  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 113s (1) cores
% 14.01/2.37  # G-E--_208_B07_F1_SE_CS_SP_PS_S4d with pid 7020 completed with status 0
% 14.01/2.37  # Result found by G-E--_208_B07_F1_SE_CS_SP_PS_S4d
% 14.01/2.37  # Preprocessing class: FMLMSMSMSSSNFFN.
% 14.01/2.37  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.01/2.37  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.01/2.37  # No SInE strategy applied
% 14.01/2.37  # Search class: FGHSM-SSLM32-DFFFFFNN
% 14.01/2.37  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 14.01/2.37  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 14.01/2.37  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 14.01/2.37  # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 14.01/2.37  # Preprocessing time       : 0.024 s
% 14.01/2.37  # Presaturation interreduction done
% 14.01/2.37  
% 14.01/2.37  # Proof found!
% 14.01/2.37  # SZS status Theorem
% 14.01/2.37  # SZS output start CNFRefutation
% See solution above
% 14.01/2.37  # Parsed axioms                        : 1212
% 14.01/2.37  # Removed by relevancy pruning/SinE    : 0
% 14.01/2.37  # Initial clauses                      : 1605
% 14.01/2.37  # Removed in clause preprocessing      : 78
% 14.01/2.37  # Initial clauses in saturation        : 1527
% 14.01/2.37  # Processed clauses                    : 11731
% 14.01/2.37  # ...of these trivial                  : 118
% 14.01/2.37  # ...subsumed                          : 7866
% 14.01/2.37  # ...remaining for further processing  : 3747
% 14.01/2.37  # Other redundant clauses eliminated   : 1594
% 14.01/2.37  # Clauses deleted for lack of memory   : 0
% 14.01/2.37  # Backward-subsumed                    : 68
% 14.01/2.37  # Backward-rewritten                   : 83
% 14.01/2.37  # Generated clauses                    : 70577
% 14.01/2.37  # ...of the previous two non-redundant : 60321
% 14.01/2.37  # ...aggressively subsumed             : 0
% 14.01/2.37  # Contextual simplify-reflections      : 6
% 14.01/2.37  # Paramodulations                      : 68946
% 14.01/2.37  # Factorizations                       : 14
% 14.01/2.37  # NegExts                              : 0
% 14.01/2.37  # Equation resolutions                 : 1644
% 14.01/2.37  # Disequality decompositions           : 0
% 14.01/2.37  # Total rewrite steps                  : 57418
% 14.01/2.37  # ...of those cached                   : 53721
% 14.01/2.37  # Propositional unsat checks           : 0
% 14.01/2.37  #    Propositional check models        : 0
% 14.01/2.37  #    Propositional check unsatisfiable : 0
% 14.01/2.37  #    Propositional clauses             : 0
% 14.01/2.37  #    Propositional clauses after purity: 0
% 14.01/2.37  #    Propositional unsat core size     : 0
% 14.01/2.37  #    Propositional preprocessing time  : 0.000
% 14.01/2.37  #    Propositional encoding time       : 0.000
% 14.01/2.37  #    Propositional solver time         : 0.000
% 14.01/2.37  #    Success case prop preproc time    : 0.000
% 14.01/2.37  #    Success case prop encoding time   : 0.000
% 14.01/2.37  #    Success case prop solver time     : 0.000
% 14.01/2.37  # Current number of processed clauses  : 2221
% 14.01/2.37  #    Positive orientable unit clauses  : 459
% 14.01/2.37  #    Positive unorientable unit clauses: 10
% 14.01/2.37  #    Negative unit clauses             : 147
% 14.01/2.37  #    Non-unit-clauses                  : 1605
% 14.01/2.37  # Current number of unprocessed clauses: 51156
% 14.01/2.37  # ...number of literals in the above   : 142185
% 14.01/2.37  # Current number of archived formulas  : 0
% 14.01/2.37  # Current number of archived clauses   : 1383
% 14.01/2.37  # Clause-clause subsumption calls (NU) : 311442
% 14.01/2.37  # Rec. Clause-clause subsumption calls : 197725
% 14.01/2.37  # Non-unit clause-clause subsumptions  : 3384
% 14.01/2.37  # Unit Clause-clause subsumption calls : 6791
% 14.01/2.37  # Rewrite failures with RHS unbound    : 2
% 14.01/2.37  # BW rewrite match attempts            : 2541
% 14.01/2.37  # BW rewrite match successes           : 272
% 14.01/2.37  # Condensation attempts                : 0
% 14.01/2.37  # Condensation successes               : 0
% 14.01/2.37  # Termbank termtop insertions          : 1448123
% 14.01/2.37  # Search garbage collected termcells   : 20778
% 14.01/2.37  
% 14.01/2.37  # -------------------------------------------------
% 14.01/2.37  # User time                : 1.714 s
% 14.01/2.37  # System time              : 0.065 s
% 14.01/2.37  # Total time               : 1.779 s
% 14.01/2.37  # Maximum resident set size: 8336 pages
% 14.01/2.37  
% 14.01/2.37  # -------------------------------------------------
% 14.01/2.37  # User time                : 8.331 s
% 14.01/2.37  # System time              : 0.263 s
% 14.01/2.37  # Total time               : 8.594 s
% 14.01/2.37  # Maximum resident set size: 3108 pages
% 14.01/2.37  % E---3.1 exiting
% 14.01/2.37  % E exiting
%------------------------------------------------------------------------------