TSTP Solution File: SWW186+1 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : SWW186+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 Jun 24 18:11:12 EDT 2024

% Result   : Theorem 5.94s 1.32s
% Output   : CNFRefutation 5.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   43 (  13 unt;   0 def)
%            Number of atoms       :   88 (  57 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   80 (  35   ~;  31   |;   5   &)
%                                         (   1 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-3 aty)
%            Number of variables   :   55 (  11 sgn  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_offset__poly__eq__0__lemma,axiom,
    ! [X6,X7,X8,X5] :
      ( class_Rings_Ocomm__semiring__0(X5)
     => ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X8,X7),c_Polynomial_OpCons(X5,X6,X7)) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))
       => X7 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.QDxIWwmtdj/E---3.1_9793.p',fact_offset__poly__eq__0__lemma) ).

fof(tfree_0,hypothesis,
    class_Rings_Ocomm__semiring__0(t_a),
    file('/export/starexec/sandbox/tmp/tmp.QDxIWwmtdj/E---3.1_9793.p',tfree_0) ).

fof(fact_add__poly__code_I1_J,axiom,
    ! [X10,X5] :
      ( class_Groups_Ocomm__monoid__add(X5)
     => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)),X10) = X10 ),
    file('/export/starexec/sandbox/tmp/tmp.QDxIWwmtdj/E---3.1_9793.p',fact_add__poly__code_I1_J) ).

fof(clrel_Rings_Ocomm__semiring__0__Groups_Ocomm__monoid__add,axiom,
    ! [X87] :
      ( class_Rings_Ocomm__semiring__0(X87)
     => class_Groups_Ocomm__monoid__add(X87) ),
    file('/export/starexec/sandbox/tmp/tmp.QDxIWwmtdj/E---3.1_9793.p',clrel_Rings_Ocomm__semiring__0__Groups_Ocomm__monoid__add) ).

fof(fact_pCons__eq__0__iff,axiom,
    ! [X11,X12,X13] :
      ( class_Groups_Ozero(X13)
     => ( c_Polynomial_OpCons(X13,X12,X11) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X13))
      <=> ( X12 = c_Groups_Ozero__class_Ozero(X13)
          & X11 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X13)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.QDxIWwmtdj/E---3.1_9793.p',fact_pCons__eq__0__iff) ).

fof(clrel_Rings_Ocomm__semiring__0__Groups_Ozero,axiom,
    ! [X87] :
      ( class_Rings_Ocomm__semiring__0(X87)
     => class_Groups_Ozero(X87) ),
    file('/export/starexec/sandbox/tmp/tmp.QDxIWwmtdj/E---3.1_9793.p',clrel_Rings_Ocomm__semiring__0__Groups_Ozero) ).

fof(fact_smult__0__right,axiom,
    ! [X6,X5] :
      ( class_Rings_Ocomm__semiring__0(X5)
     => c_Polynomial_Osmult(X5,X6,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)) ),
    file('/export/starexec/sandbox/tmp/tmp.QDxIWwmtdj/E---3.1_9793.p',fact_smult__0__right) ).

fof(conj_0,hypothesis,
    ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
   => v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
    file('/export/starexec/sandbox/tmp/tmp.QDxIWwmtdj/E---3.1_9793.p',conj_0) ).

fof(conj_1,hypothesis,
    c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    file('/export/starexec/sandbox/tmp/tmp.QDxIWwmtdj/E---3.1_9793.p',conj_1) ).

fof(conj_2,conjecture,
    ( v_a = c_Groups_Ozero__class_Ozero(t_a)
    & v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
    file('/export/starexec/sandbox/tmp/tmp.QDxIWwmtdj/E---3.1_9793.p',conj_2) ).

fof(c_0_10,plain,
    ! [X102,X103,X104,X105] :
      ( ~ class_Rings_Ocomm__semiring__0(X105)
      | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X105),c_Polynomial_Osmult(X105,X104,X103),c_Polynomial_OpCons(X105,X102,X103)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X105))
      | X103 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X105)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_offset__poly__eq__0__lemma])])]) ).

cnf(c_0_11,plain,
    ( X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__0(X1)
    | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X3),c_Polynomial_OpCons(X1,X4,X3)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_12,hypothesis,
    class_Rings_Ocomm__semiring__0(t_a),
    inference(split_conjunct,[status(thm)],[tfree_0]) ).

fof(c_0_13,plain,
    ! [X132,X133] :
      ( ~ class_Groups_Ocomm__monoid__add(X133)
      | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X133),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X133)),X132) = X132 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__poly__code_I1_J])])]) ).

fof(c_0_14,plain,
    ! [X3003] :
      ( ~ class_Rings_Ocomm__semiring__0(X3003)
      | class_Groups_Ocomm__monoid__add(X3003) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[clrel_Rings_Ocomm__semiring__0__Groups_Ocomm__monoid__add])])]) ).

fof(c_0_15,plain,
    ! [X125,X126,X127] :
      ( ( X126 = c_Groups_Ozero__class_Ozero(X127)
        | c_Polynomial_OpCons(X127,X126,X125) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X127))
        | ~ class_Groups_Ozero(X127) )
      & ( X125 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X127))
        | c_Polynomial_OpCons(X127,X126,X125) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X127))
        | ~ class_Groups_Ozero(X127) )
      & ( X126 != c_Groups_Ozero__class_Ozero(X127)
        | X125 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X127))
        | c_Polynomial_OpCons(X127,X126,X125) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X127))
        | ~ class_Groups_Ozero(X127) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pCons__eq__0__iff])])])]) ).

fof(c_0_16,plain,
    ! [X3009] :
      ( ~ class_Rings_Ocomm__semiring__0(X3009)
      | class_Groups_Ozero(X3009) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[clrel_Rings_Ocomm__semiring__0__Groups_Ozero])])]) ).

fof(c_0_17,plain,
    ! [X136,X137] :
      ( ~ class_Rings_Ocomm__semiring__0(X137)
      | c_Polynomial_Osmult(X137,X136,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X137))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X137)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__0__right])])]) ).

fof(c_0_18,hypothesis,
    ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
    | v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])]) ).

cnf(c_0_19,hypothesis,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
    | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X2,X1),c_Polynomial_OpCons(t_a,X3,X1)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_20,hypothesis,
    c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    inference(split_conjunct,[status(thm)],[conj_1]) ).

cnf(c_0_21,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2) = X2
    | ~ class_Groups_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_22,plain,
    ( class_Groups_Ocomm__monoid__add(X1)
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_23,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Polynomial_OpCons(X2,X1,X3) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
    | ~ class_Groups_Ozero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_24,plain,
    ( class_Groups_Ozero(X1)
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_25,plain,
    ( c_Polynomial_Osmult(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = 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_26,hypothesis,
    ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
    | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_27,hypothesis,
    c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_28,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2) = X2
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

fof(c_0_29,negated_conjecture,
    ~ ( v_a = c_Groups_Ozero__class_Ozero(t_a)
      & v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
    inference(assume_negation,[status(cth)],[conj_2]) ).

cnf(c_0_30,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Polynomial_OpCons(X2,X1,X3) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
    | ~ class_Rings_Ocomm__semiring__0(X2) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_31,hypothesis,
    c_Polynomial_Osmult(t_a,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    inference(spm,[status(thm)],[c_0_25,c_0_12]) ).

cnf(c_0_32,hypothesis,
    c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = v_p,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).

cnf(c_0_33,hypothesis,
    c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X1) = X1,
    inference(spm,[status(thm)],[c_0_28,c_0_12]) ).

fof(c_0_34,negated_conjecture,
    ( v_a != c_Groups_Ozero__class_Ozero(t_a)
    | v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])]) ).

cnf(c_0_35,hypothesis,
    ( X1 = c_Groups_Ozero__class_Ozero(t_a)
    | c_Polynomial_OpCons(t_a,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
    inference(spm,[status(thm)],[c_0_30,c_0_12]) ).

cnf(c_0_36,hypothesis,
    c_Polynomial_Osmult(t_a,X1,v_p) = v_p,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32]),c_0_32]) ).

cnf(c_0_37,hypothesis,
    c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),v_p,X1) = X1,
    inference(rw,[status(thm)],[c_0_33,c_0_32]) ).

cnf(c_0_38,negated_conjecture,
    ( v_a != c_Groups_Ozero__class_Ozero(t_a)
    | v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_39,hypothesis,
    ( X1 = c_Groups_Ozero__class_Ozero(t_a)
    | c_Polynomial_OpCons(t_a,X1,X2) != v_p ),
    inference(rw,[status(thm)],[c_0_35,c_0_32]) ).

cnf(c_0_40,hypothesis,
    c_Polynomial_OpCons(t_a,v_a,v_p) = v_p,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_27]),c_0_32]),c_0_27]),c_0_32]),c_0_32]),c_0_36]),c_0_37]) ).

cnf(c_0_41,negated_conjecture,
    c_Groups_Ozero__class_Ozero(t_a) != v_a,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_32])]) ).

cnf(c_0_42,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SWW186+1 : TPTP v8.2.0. Released v5.2.0.
% 0.00/0.10  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n024.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Wed Jun 19 07:44:38 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.17/0.53  Running first-order theorem proving
% 0.17/0.53  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/tmp/tmp.QDxIWwmtdj/E---3.1_9793.p
% 5.94/1.32  # Version: 3.2.0
% 5.94/1.32  # Preprocessing class: FMLMSMSSSSSNFFN.
% 5.94/1.32  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.94/1.32  # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 5.94/1.32  # Starting new_bool_3 with 300s (1) cores
% 5.94/1.32  # Starting new_bool_1 with 300s (1) cores
% 5.94/1.32  # Starting sh5l with 300s (1) cores
% 5.94/1.32  # G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with pid 9872 completed with status 0
% 5.94/1.32  # Result found by G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c
% 5.94/1.32  # Preprocessing class: FMLMSMSSSSSNFFN.
% 5.94/1.32  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.94/1.32  # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 5.94/1.32  # No SInE strategy applied
% 5.94/1.32  # Search class: FGHSM-SSLM32-DFFFFFNN
% 5.94/1.32  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 5.94/1.32  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 5.94/1.32  # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 151s (1) cores
% 5.94/1.32  # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 5.94/1.32  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 5.94/1.32  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 113s (1) cores
% 5.94/1.32  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 9882 completed with status 0
% 5.94/1.32  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 5.94/1.32  # Preprocessing class: FMLMSMSSSSSNFFN.
% 5.94/1.32  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.94/1.32  # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 5.94/1.32  # No SInE strategy applied
% 5.94/1.32  # Search class: FGHSM-SSLM32-DFFFFFNN
% 5.94/1.32  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 5.94/1.32  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 5.94/1.32  # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 151s (1) cores
% 5.94/1.32  # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 5.94/1.32  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 5.94/1.32  # Preprocessing time       : 0.017 s
% 5.94/1.32  # Presaturation interreduction done
% 5.94/1.32  
% 5.94/1.32  # Proof found!
% 5.94/1.32  # SZS status Theorem
% 5.94/1.32  # SZS output start CNFRefutation
% See solution above
% 5.94/1.32  # Parsed axioms                        : 1182
% 5.94/1.32  # Removed by relevancy pruning/SinE    : 0
% 5.94/1.32  # Initial clauses                      : 1566
% 5.94/1.32  # Removed in clause preprocessing      : 78
% 5.94/1.32  # Initial clauses in saturation        : 1488
% 5.94/1.32  # Processed clauses                    : 6310
% 5.94/1.32  # ...of these trivial                  : 119
% 5.94/1.32  # ...subsumed                          : 2257
% 5.94/1.32  # ...remaining for further processing  : 3934
% 5.94/1.32  # Other redundant clauses eliminated   : 259
% 5.94/1.32  # Clauses deleted for lack of memory   : 0
% 5.94/1.32  # Backward-subsumed                    : 26
% 5.94/1.32  # Backward-rewritten                   : 78
% 5.94/1.32  # Generated clauses                    : 13422
% 5.94/1.32  # ...of the previous two non-redundant : 11745
% 5.94/1.32  # ...aggressively subsumed             : 0
% 5.94/1.32  # Contextual simplify-reflections      : 6
% 5.94/1.32  # Paramodulations                      : 13165
% 5.94/1.32  # Factorizations                       : 8
% 5.94/1.32  # NegExts                              : 0
% 5.94/1.32  # Equation resolutions                 : 277
% 5.94/1.32  # Disequality decompositions           : 0
% 5.94/1.32  # Total rewrite steps                  : 4435
% 5.94/1.32  # ...of those cached                   : 3444
% 5.94/1.32  # Propositional unsat checks           : 0
% 5.94/1.32  #    Propositional check models        : 0
% 5.94/1.32  #    Propositional check unsatisfiable : 0
% 5.94/1.32  #    Propositional clauses             : 0
% 5.94/1.32  #    Propositional clauses after purity: 0
% 5.94/1.32  #    Propositional unsat core size     : 0
% 5.94/1.32  #    Propositional preprocessing time  : 0.000
% 5.94/1.32  #    Propositional encoding time       : 0.000
% 5.94/1.32  #    Propositional solver time         : 0.000
% 5.94/1.32  #    Success case prop preproc time    : 0.000
% 5.94/1.32  #    Success case prop encoding time   : 0.000
% 5.94/1.32  #    Success case prop solver time     : 0.000
% 5.94/1.32  # Current number of processed clauses  : 2506
% 5.94/1.32  #    Positive orientable unit clauses  : 648
% 5.94/1.32  #    Positive unorientable unit clauses: 9
% 5.94/1.32  #    Negative unit clauses             : 255
% 5.94/1.32  #    Non-unit-clauses                  : 1594
% 5.94/1.32  # Current number of unprocessed clauses: 7974
% 5.94/1.32  # ...number of literals in the above   : 15583
% 5.94/1.32  # Current number of archived formulas  : 0
% 5.94/1.32  # Current number of archived clauses   : 1291
% 5.94/1.32  # Clause-clause subsumption calls (NU) : 268217
% 5.94/1.32  # Rec. Clause-clause subsumption calls : 189025
% 5.94/1.32  # Non-unit clause-clause subsumptions  : 1012
% 5.94/1.32  # Unit Clause-clause subsumption calls : 4062
% 5.94/1.32  # Rewrite failures with RHS unbound    : 0
% 5.94/1.32  # BW rewrite match attempts            : 8780
% 5.94/1.32  # BW rewrite match successes           : 225
% 5.94/1.32  # Condensation attempts                : 0
% 5.94/1.32  # Condensation successes               : 0
% 5.94/1.32  # Termbank termtop insertions          : 423537
% 5.94/1.32  # Search garbage collected termcells   : 20579
% 5.94/1.32  
% 5.94/1.32  # -------------------------------------------------
% 5.94/1.32  # User time                : 0.683 s
% 5.94/1.32  # System time              : 0.029 s
% 5.94/1.32  # Total time               : 0.713 s
% 5.94/1.32  # Maximum resident set size: 8224 pages
% 5.94/1.32  
% 5.94/1.32  # -------------------------------------------------
% 5.94/1.32  # User time                : 3.266 s
% 5.94/1.32  # System time              : 0.114 s
% 5.94/1.32  # Total time               : 3.380 s
% 5.94/1.32  # Maximum resident set size: 3080 pages
% 5.94/1.32  % E---3.1 exiting
% 5.94/1.32  % E exiting
%------------------------------------------------------------------------------