TSTP Solution File: KLE159+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : KLE159+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 23:11:18 EDT 2024

% Result   : Theorem 5.76s 1.17s
% Output   : CNFRefutation 5.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   73 (  55 unt;   0 def)
%            Number of atoms       :   93 (  50 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   36 (  16   ~;  13   |;   2   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  127 (   3 sgn  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals,conjecture,
    ! [X4,X5,X6] :
      ( leq(multiplication(X4,X5),multiplication(X6,X4))
     => leq(multiplication(X4,star(X5)),multiplication(star(X6),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(order,axiom,
    ! [X1,X2] :
      ( leq(X1,X2)
    <=> addition(X1,X2) = X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',order) ).

fof(additive_associativity,axiom,
    ! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',additive_associativity) ).

fof(star_unfold1,axiom,
    ! [X1] : addition(one,multiplication(X1,star(X1))) = star(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',star_unfold1) ).

fof(distributivity2,axiom,
    ! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',distributivity2) ).

fof(multiplicative_left_identity,axiom,
    ! [X1] : multiplication(one,X1) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',multiplicative_left_identity) ).

fof(additive_commutativity,axiom,
    ! [X1,X2] : addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',additive_commutativity) ).

fof(idempotence,axiom,
    ! [X1] : addition(X1,X1) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',idempotence) ).

fof(distributivity1,axiom,
    ! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',distributivity1) ).

fof(multiplicative_right_identity,axiom,
    ! [X1] : multiplication(X1,one) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',multiplicative_right_identity) ).

fof(star_unfold2,axiom,
    ! [X1] : addition(one,multiplication(star(X1),X1)) = star(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',star_unfold2) ).

fof(star_induction1,axiom,
    ! [X1,X2,X3] :
      ( leq(addition(multiplication(X1,X3),X2),X3)
     => leq(multiplication(star(X1),X2),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',star_induction1) ).

fof(star_induction2,axiom,
    ! [X1,X2,X3] :
      ( leq(addition(multiplication(X3,X1),X2),X3)
     => leq(multiplication(X2,star(X1)),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',star_induction2) ).

fof(multiplicative_associativity,axiom,
    ! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',multiplicative_associativity) ).

fof(c_0_14,negated_conjecture,
    ~ ! [X4,X5,X6] :
        ( leq(multiplication(X4,X5),multiplication(X6,X4))
       => leq(multiplication(X4,star(X5)),multiplication(star(X6),X4)) ),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_15,plain,
    ! [X39,X40] :
      ( ( ~ leq(X39,X40)
        | addition(X39,X40) = X40 )
      & ( addition(X39,X40) != X40
        | leq(X39,X40) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])])]) ).

fof(c_0_16,negated_conjecture,
    ( leq(multiplication(esk1_0,esk2_0),multiplication(esk3_0,esk1_0))
    & ~ leq(multiplication(esk1_0,star(esk2_0)),multiplication(star(esk3_0),esk1_0)) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).

fof(c_0_17,plain,
    ! [X9,X10,X11] : addition(X11,addition(X10,X9)) = addition(addition(X11,X10),X9),
    inference(variable_rename,[status(thm)],[additive_associativity]) ).

cnf(c_0_18,plain,
    ( addition(X1,X2) = X2
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    leq(multiplication(esk1_0,esk2_0),multiplication(esk3_0,esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_20,plain,
    ! [X26] : addition(one,multiplication(X26,star(X26))) = star(X26),
    inference(variable_rename,[status(thm)],[star_unfold1]) ).

fof(c_0_21,plain,
    ! [X22,X23,X24] : multiplication(addition(X22,X23),X24) = addition(multiplication(X22,X24),multiplication(X23,X24)),
    inference(variable_rename,[status(thm)],[distributivity2]) ).

fof(c_0_22,plain,
    ! [X18] : multiplication(one,X18) = X18,
    inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).

fof(c_0_23,plain,
    ! [X7,X8] : addition(X7,X8) = addition(X8,X7),
    inference(variable_rename,[status(thm)],[additive_commutativity]) ).

fof(c_0_24,plain,
    ! [X13] : addition(X13,X13) = X13,
    inference(variable_rename,[status(thm)],[idempotence]) ).

cnf(c_0_25,plain,
    addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_26,negated_conjecture,
    addition(multiplication(esk1_0,esk2_0),multiplication(esk3_0,esk1_0)) = multiplication(esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

fof(c_0_27,plain,
    ! [X19,X20,X21] : multiplication(X19,addition(X20,X21)) = addition(multiplication(X19,X20),multiplication(X19,X21)),
    inference(variable_rename,[status(thm)],[distributivity1]) ).

fof(c_0_28,plain,
    ! [X17] : multiplication(X17,one) = X17,
    inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).

cnf(c_0_29,plain,
    addition(one,multiplication(X1,star(X1))) = star(X1),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_30,plain,
    multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_31,plain,
    multiplication(one,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_32,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_33,plain,
    addition(X1,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_34,plain,
    ! [X27] : addition(one,multiplication(star(X27),X27)) = star(X27),
    inference(variable_rename,[status(thm)],[star_unfold2]) ).

cnf(c_0_35,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_36,negated_conjecture,
    addition(multiplication(esk1_0,esk2_0),addition(multiplication(esk3_0,esk1_0),X1)) = addition(multiplication(esk3_0,esk1_0),X1),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_37,plain,
    multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_38,plain,
    multiplication(X1,one) = X1,
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_39,plain,
    addition(one,addition(multiplication(X1,star(X1)),X2)) = addition(star(X1),X2),
    inference(spm,[status(thm)],[c_0_25,c_0_29]) ).

cnf(c_0_40,plain,
    addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).

cnf(c_0_41,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(spm,[status(thm)],[c_0_25,c_0_33]) ).

cnf(c_0_42,plain,
    addition(one,multiplication(star(X1),X1)) = star(X1),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_43,plain,
    ! [X28,X29,X30] :
      ( ~ leq(addition(multiplication(X28,X30),X29),X30)
      | leq(multiplication(star(X28),X29),X30) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction1])])]) ).

cnf(c_0_44,negated_conjecture,
    leq(multiplication(esk1_0,esk2_0),addition(multiplication(esk3_0,esk1_0),X1)),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_45,plain,
    addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_32]) ).

cnf(c_0_46,plain,
    multiplication(addition(X1,one),star(X1)) = star(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_33]),c_0_29]),c_0_40]) ).

cnf(c_0_47,plain,
    addition(one,star(X1)) = star(X1),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_48,plain,
    ( leq(multiplication(star(X1),X3),X2)
    | ~ leq(addition(multiplication(X1,X2),X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_49,negated_conjecture,
    leq(multiplication(esk1_0,esk2_0),multiplication(addition(esk3_0,X1),esk1_0)),
    inference(spm,[status(thm)],[c_0_44,c_0_30]) ).

cnf(c_0_50,plain,
    addition(X1,star(X1)) = star(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_25]),c_0_47]),c_0_32]),c_0_47]),c_0_46]) ).

cnf(c_0_51,plain,
    ( leq(multiplication(star(X1),multiplication(X2,X3)),X3)
    | ~ leq(multiplication(addition(X1,X2),X3),X3) ),
    inference(spm,[status(thm)],[c_0_48,c_0_30]) ).

cnf(c_0_52,plain,
    leq(X1,X1),
    inference(spm,[status(thm)],[c_0_35,c_0_33]) ).

fof(c_0_53,plain,
    ! [X31,X32,X33] :
      ( ~ leq(addition(multiplication(X33,X31),X32),X33)
      | leq(multiplication(X32,star(X31)),X33) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction2])])]) ).

fof(c_0_54,plain,
    ! [X14,X15,X16] : multiplication(X14,multiplication(X15,X16)) = multiplication(multiplication(X14,X15),X16),
    inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).

cnf(c_0_55,negated_conjecture,
    leq(multiplication(esk1_0,esk2_0),multiplication(star(esk3_0),esk1_0)),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_56,plain,
    leq(multiplication(star(X1),star(X1)),star(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_46]),c_0_31]),c_0_52])]) ).

cnf(c_0_57,plain,
    ( leq(multiplication(X3,star(X2)),X1)
    | ~ leq(addition(multiplication(X1,X2),X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_58,plain,
    multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_59,plain,
    ( leq(multiplication(X1,X2),multiplication(X1,X3))
    | multiplication(X1,addition(X2,X3)) != multiplication(X1,X3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_37]) ).

cnf(c_0_60,negated_conjecture,
    addition(multiplication(esk1_0,esk2_0),multiplication(star(esk3_0),esk1_0)) = multiplication(star(esk3_0),esk1_0),
    inference(spm,[status(thm)],[c_0_18,c_0_55]) ).

cnf(c_0_61,plain,
    multiplication(star(X1),star(X1)) = star(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_56]),c_0_32]),c_0_45]),c_0_32]),c_0_47]) ).

cnf(c_0_62,plain,
    ( leq(multiplication(X1,star(X2)),multiplication(X3,X4))
    | ~ leq(addition(multiplication(X3,multiplication(X4,X2)),X1),multiplication(X3,X4)) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_63,negated_conjecture,
    leq(multiplication(X1,multiplication(esk1_0,esk2_0)),multiplication(X1,multiplication(star(esk3_0),esk1_0))),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_64,plain,
    multiplication(star(X1),multiplication(star(X1),X2)) = multiplication(star(X1),X2),
    inference(spm,[status(thm)],[c_0_58,c_0_61]) ).

cnf(c_0_65,plain,
    ( leq(multiplication(X1,multiplication(X2,multiplication(X3,star(X3)))),multiplication(X1,X2))
    | ~ leq(multiplication(X1,multiplication(X2,X3)),multiplication(X1,X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_33]),c_0_58]),c_0_58]) ).

cnf(c_0_66,negated_conjecture,
    leq(multiplication(star(esk3_0),multiplication(esk1_0,esk2_0)),multiplication(star(esk3_0),esk1_0)),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_67,plain,
    ( leq(multiplication(X1,X2),multiplication(X3,X2))
    | multiplication(addition(X1,X3),X2) != multiplication(X3,X2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_30]) ).

cnf(c_0_68,negated_conjecture,
    leq(multiplication(star(esk3_0),multiplication(esk1_0,multiplication(esk2_0,star(esk2_0)))),multiplication(star(esk3_0),esk1_0)),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_69,plain,
    leq(X1,multiplication(star(X2),X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_47]),c_0_31]) ).

cnf(c_0_70,negated_conjecture,
    multiplication(star(esk3_0),multiplication(esk1_0,star(esk2_0))) = multiplication(star(esk3_0),esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_68]),c_0_37]),c_0_32]),c_0_45]),c_0_32]),c_0_29]) ).

cnf(c_0_71,negated_conjecture,
    ~ leq(multiplication(esk1_0,star(esk2_0)),multiplication(star(esk3_0),esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_72,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KLE159+1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n002.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 09:56:38 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  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
% 5.76/1.17  # Version: 3.1.0
% 5.76/1.17  # Preprocessing class: FSMSSMSSSSSNFFN.
% 5.76/1.17  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.76/1.17  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.76/1.17  # Starting new_bool_3 with 300s (1) cores
% 5.76/1.17  # Starting new_bool_1 with 300s (1) cores
% 5.76/1.17  # Starting sh5l with 300s (1) cores
% 5.76/1.17  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 5350 completed with status 0
% 5.76/1.17  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 5.76/1.17  # Preprocessing class: FSMSSMSSSSSNFFN.
% 5.76/1.17  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.76/1.17  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.76/1.17  # No SInE strategy applied
% 5.76/1.17  # Search class: FHUSM-FFSF21-MFFFFFNN
% 5.76/1.17  # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 5.76/1.17  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 5.76/1.17  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 5.76/1.17  # Starting G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with 136s (1) cores
% 5.76/1.17  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 5.76/1.17  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2U with 136s (1) cores
% 5.76/1.17  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 5359 completed with status 0
% 5.76/1.17  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 5.76/1.17  # Preprocessing class: FSMSSMSSSSSNFFN.
% 5.76/1.17  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.76/1.17  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.76/1.17  # No SInE strategy applied
% 5.76/1.17  # Search class: FHUSM-FFSF21-MFFFFFNN
% 5.76/1.17  # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 5.76/1.17  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 5.76/1.17  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 5.76/1.17  # Starting G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with 136s (1) cores
% 5.76/1.17  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 5.76/1.17  # Preprocessing time       : 0.001 s
% 5.76/1.17  # Presaturation interreduction done
% 5.76/1.17  
% 5.76/1.17  # Proof found!
% 5.76/1.17  # SZS status Theorem
% 5.76/1.17  # SZS output start CNFRefutation
% See solution above
% 5.76/1.17  # Parsed axioms                        : 19
% 5.76/1.17  # Removed by relevancy pruning/SinE    : 0
% 5.76/1.17  # Initial clauses                      : 21
% 5.76/1.17  # Removed in clause preprocessing      : 0
% 5.76/1.17  # Initial clauses in saturation        : 21
% 5.76/1.17  # Processed clauses                    : 7835
% 5.76/1.17  # ...of these trivial                  : 773
% 5.76/1.17  # ...subsumed                          : 4881
% 5.76/1.17  # ...remaining for further processing  : 2181
% 5.76/1.17  # Other redundant clauses eliminated   : 140
% 5.76/1.17  # Clauses deleted for lack of memory   : 0
% 5.76/1.17  # Backward-subsumed                    : 15
% 5.76/1.17  # Backward-rewritten                   : 620
% 5.76/1.17  # Generated clauses                    : 65009
% 5.76/1.17  # ...of the previous two non-redundant : 47495
% 5.76/1.17  # ...aggressively subsumed             : 0
% 5.76/1.17  # Contextual simplify-reflections      : 0
% 5.76/1.17  # Paramodulations                      : 64868
% 5.76/1.17  # Factorizations                       : 0
% 5.76/1.17  # NegExts                              : 0
% 5.76/1.17  # Equation resolutions                 : 141
% 5.76/1.17  # Disequality decompositions           : 0
% 5.76/1.17  # Total rewrite steps                  : 74139
% 5.76/1.17  # ...of those cached                   : 64174
% 5.76/1.17  # Propositional unsat checks           : 0
% 5.76/1.17  #    Propositional check models        : 0
% 5.76/1.17  #    Propositional check unsatisfiable : 0
% 5.76/1.17  #    Propositional clauses             : 0
% 5.76/1.17  #    Propositional clauses after purity: 0
% 5.76/1.17  #    Propositional unsat core size     : 0
% 5.76/1.17  #    Propositional preprocessing time  : 0.000
% 5.76/1.17  #    Propositional encoding time       : 0.000
% 5.76/1.17  #    Propositional solver time         : 0.000
% 5.76/1.17  #    Success case prop preproc time    : 0.000
% 5.76/1.17  #    Success case prop encoding time   : 0.000
% 5.76/1.17  #    Success case prop solver time     : 0.000
% 5.76/1.17  # Current number of processed clauses  : 1524
% 5.76/1.17  #    Positive orientable unit clauses  : 682
% 5.76/1.17  #    Positive unorientable unit clauses: 4
% 5.76/1.17  #    Negative unit clauses             : 1
% 5.76/1.17  #    Non-unit-clauses                  : 837
% 5.76/1.17  # Current number of unprocessed clauses: 39365
% 5.76/1.17  # ...number of literals in the above   : 67085
% 5.76/1.17  # Current number of archived formulas  : 0
% 5.76/1.17  # Current number of archived clauses   : 656
% 5.76/1.17  # Clause-clause subsumption calls (NU) : 154297
% 5.76/1.17  # Rec. Clause-clause subsumption calls : 154069
% 5.76/1.17  # Non-unit clause-clause subsumptions  : 4769
% 5.76/1.17  # Unit Clause-clause subsumption calls : 18536
% 5.76/1.17  # Rewrite failures with RHS unbound    : 0
% 5.76/1.17  # BW rewrite match attempts            : 7008
% 5.76/1.17  # BW rewrite match successes           : 295
% 5.76/1.17  # Condensation attempts                : 0
% 5.76/1.17  # Condensation successes               : 0
% 5.76/1.17  # Termbank termtop insertions          : 1021057
% 5.76/1.17  # Search garbage collected termcells   : 96
% 5.76/1.17  
% 5.76/1.17  # -------------------------------------------------
% 5.76/1.17  # User time                : 0.638 s
% 5.76/1.17  # System time              : 0.028 s
% 5.76/1.17  # Total time               : 0.666 s
% 5.76/1.17  # Maximum resident set size: 1724 pages
% 5.76/1.17  
% 5.76/1.17  # -------------------------------------------------
% 5.76/1.17  # User time                : 3.237 s
% 5.76/1.17  # System time              : 0.132 s
% 5.76/1.17  # Total time               : 3.369 s
% 5.76/1.17  # Maximum resident set size: 1720 pages
% 5.76/1.17  % E---3.1 exiting
% 5.76/1.18  % E exiting
%------------------------------------------------------------------------------