TSTP Solution File: KLE041+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : KLE041+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:03:59 EDT 2023

% Result   : Theorem 0.21s 0.63s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   89 (  67 unt;   0 def)
%            Number of atoms       :  113 (  51 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   44 (  20   ~;  17   |;   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   :  134 (   5 sgn;  64   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(additive_identity,axiom,
    ! [X1] : addition(X1,zero) = X1,
    file('/export/starexec/sandbox/tmp/tmp.6rzpX9CrPs/E---3.1_30636.p',additive_identity) ).

fof(additive_commutativity,axiom,
    ! [X1,X2] : addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.6rzpX9CrPs/E---3.1_30636.p',additive_commutativity) ).

fof(star_induction_right,axiom,
    ! [X1,X2,X3] :
      ( leq(addition(multiplication(X1,X2),X3),X1)
     => leq(multiplication(X3,star(X2)),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.6rzpX9CrPs/E---3.1_30636.p',star_induction_right) ).

fof(right_annihilation,axiom,
    ! [X1] : multiplication(X1,zero) = zero,
    file('/export/starexec/sandbox/tmp/tmp.6rzpX9CrPs/E---3.1_30636.p',right_annihilation) ).

fof(order,axiom,
    ! [X1,X2] :
      ( leq(X1,X2)
    <=> addition(X1,X2) = X2 ),
    file('/export/starexec/sandbox/tmp/tmp.6rzpX9CrPs/E---3.1_30636.p',order) ).

fof(additive_idempotence,axiom,
    ! [X1] : addition(X1,X1) = X1,
    file('/export/starexec/sandbox/tmp/tmp.6rzpX9CrPs/E---3.1_30636.p',additive_idempotence) ).

fof(star_unfold_right,axiom,
    ! [X1] : leq(addition(one,multiplication(X1,star(X1))),star(X1)),
    file('/export/starexec/sandbox/tmp/tmp.6rzpX9CrPs/E---3.1_30636.p',star_unfold_right) ).

fof(left_annihilation,axiom,
    ! [X1] : multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox/tmp/tmp.6rzpX9CrPs/E---3.1_30636.p',left_annihilation) ).

fof(multiplicative_left_identity,axiom,
    ! [X1] : multiplication(one,X1) = X1,
    file('/export/starexec/sandbox/tmp/tmp.6rzpX9CrPs/E---3.1_30636.p',multiplicative_left_identity) ).

fof(additive_associativity,axiom,
    ! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    file('/export/starexec/sandbox/tmp/tmp.6rzpX9CrPs/E---3.1_30636.p',additive_associativity) ).

fof(goals,conjecture,
    ! [X4,X5] :
      ( leq(X4,X5)
     => leq(star(X4),star(X5)) ),
    file('/export/starexec/sandbox/tmp/tmp.6rzpX9CrPs/E---3.1_30636.p',goals) ).

fof(star_unfold_left,axiom,
    ! [X1] : leq(addition(one,multiplication(star(X1),X1)),star(X1)),
    file('/export/starexec/sandbox/tmp/tmp.6rzpX9CrPs/E---3.1_30636.p',star_unfold_left) ).

fof(right_distributivity,axiom,
    ! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    file('/export/starexec/sandbox/tmp/tmp.6rzpX9CrPs/E---3.1_30636.p',right_distributivity) ).

fof(multiplicative_right_identity,axiom,
    ! [X1] : multiplication(X1,one) = X1,
    file('/export/starexec/sandbox/tmp/tmp.6rzpX9CrPs/E---3.1_30636.p',multiplicative_right_identity) ).

fof(multiplicative_associativity,axiom,
    ! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    file('/export/starexec/sandbox/tmp/tmp.6rzpX9CrPs/E---3.1_30636.p',multiplicative_associativity) ).

fof(left_distributivity,axiom,
    ! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    file('/export/starexec/sandbox/tmp/tmp.6rzpX9CrPs/E---3.1_30636.p',left_distributivity) ).

fof(star_induction_left,axiom,
    ! [X1,X2,X3] :
      ( leq(addition(multiplication(X1,X2),X3),X2)
     => leq(multiplication(star(X1),X3),X2) ),
    file('/export/starexec/sandbox/tmp/tmp.6rzpX9CrPs/E---3.1_30636.p',star_induction_left) ).

fof(c_0_17,plain,
    ! [X11] : addition(X11,zero) = X11,
    inference(variable_rename,[status(thm)],[additive_identity]) ).

fof(c_0_18,plain,
    ! [X6,X7] : addition(X6,X7) = addition(X7,X6),
    inference(variable_rename,[status(thm)],[additive_commutativity]) ).

fof(c_0_19,plain,
    ! [X33,X34,X35] :
      ( ~ leq(addition(multiplication(X33,X34),X35),X33)
      | leq(multiplication(X35,star(X34)),X33) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction_right])]) ).

fof(c_0_20,plain,
    ! [X24] : multiplication(X24,zero) = zero,
    inference(variable_rename,[status(thm)],[right_annihilation]) ).

cnf(c_0_21,plain,
    addition(X1,zero) = X1,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_22,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_23,plain,
    ! [X26,X27] :
      ( ( ~ leq(X26,X27)
        | addition(X26,X27) = X27 )
      & ( addition(X26,X27) != X27
        | leq(X26,X27) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])]) ).

fof(c_0_24,plain,
    ! [X12] : addition(X12,X12) = X12,
    inference(variable_rename,[status(thm)],[additive_idempotence]) ).

cnf(c_0_25,plain,
    ( leq(multiplication(X3,star(X2)),X1)
    | ~ leq(addition(multiplication(X1,X2),X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,plain,
    multiplication(X1,zero) = zero,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_28,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_29,plain,
    addition(X1,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_30,plain,
    ! [X28] : leq(addition(one,multiplication(X28,star(X28))),star(X28)),
    inference(variable_rename,[status(thm)],[star_unfold_right]) ).

fof(c_0_31,plain,
    ! [X25] : multiplication(zero,X25) = zero,
    inference(variable_rename,[status(thm)],[left_annihilation]) ).

fof(c_0_32,plain,
    ! [X17] : multiplication(one,X17) = X17,
    inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).

cnf(c_0_33,plain,
    ( leq(multiplication(X1,star(zero)),X2)
    | ~ leq(X1,X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

cnf(c_0_34,plain,
    leq(X1,X1),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_35,plain,
    leq(addition(one,multiplication(X1,star(X1))),star(X1)),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_36,plain,
    multiplication(zero,X1) = zero,
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_37,plain,
    multiplication(one,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_38,plain,
    leq(multiplication(X1,star(zero)),X1),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,plain,
    ( addition(X1,X2) = X2
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_40,plain,
    leq(one,star(zero)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_21]) ).

fof(c_0_41,plain,
    ! [X8,X9,X10] : addition(X10,addition(X9,X8)) = addition(addition(X10,X9),X8),
    inference(variable_rename,[status(thm)],[additive_associativity]) ).

cnf(c_0_42,plain,
    ( leq(multiplication(X1,star(X2)),one)
    | ~ leq(addition(X2,X1),one) ),
    inference(spm,[status(thm)],[c_0_25,c_0_37]) ).

cnf(c_0_43,plain,
    leq(star(zero),one),
    inference(spm,[status(thm)],[c_0_38,c_0_37]) ).

cnf(c_0_44,plain,
    addition(one,star(zero)) = star(zero),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_45,plain,
    addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_46,negated_conjecture,
    ~ ! [X4,X5] :
        ( leq(X4,X5)
       => leq(star(X4),star(X5)) ),
    inference(assume_negation,[status(cth)],[goals]) ).

cnf(c_0_47,plain,
    ( leq(multiplication(X1,star(X1)),one)
    | ~ leq(X1,one) ),
    inference(spm,[status(thm)],[c_0_42,c_0_29]) ).

cnf(c_0_48,plain,
    star(zero) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_43]),c_0_22]),c_0_44]) ).

cnf(c_0_49,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(spm,[status(thm)],[c_0_45,c_0_29]) ).

cnf(c_0_50,plain,
    addition(one,addition(star(X1),multiplication(X1,star(X1)))) = star(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_35]),c_0_45]),c_0_22]) ).

fof(c_0_51,plain,
    ! [X29] : leq(addition(one,multiplication(star(X29),X29)),star(X29)),
    inference(variable_rename,[status(thm)],[star_unfold_left]) ).

fof(c_0_52,plain,
    ! [X18,X19,X20] : multiplication(X18,addition(X19,X20)) = addition(multiplication(X18,X19),multiplication(X18,X20)),
    inference(variable_rename,[status(thm)],[right_distributivity]) ).

fof(c_0_53,plain,
    ! [X16] : multiplication(X16,one) = X16,
    inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).

fof(c_0_54,negated_conjecture,
    ( leq(esk1_0,esk2_0)
    & ~ leq(star(esk1_0),star(esk2_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).

cnf(c_0_55,plain,
    leq(star(one),one),
    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_47,c_0_38]),c_0_37]),c_0_48]),c_0_37]),c_0_48]),c_0_37]) ).

cnf(c_0_56,plain,
    addition(one,star(X1)) = star(X1),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_57,plain,
    leq(addition(one,multiplication(star(X1),X1)),star(X1)),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_58,plain,
    multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_59,plain,
    multiplication(X1,one) = X1,
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

fof(c_0_60,plain,
    ! [X13,X14,X15] : multiplication(X13,multiplication(X14,X15)) = multiplication(multiplication(X13,X14),X15),
    inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).

cnf(c_0_61,negated_conjecture,
    leq(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_62,plain,
    star(one) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_55]),c_0_22]),c_0_56]) ).

cnf(c_0_63,plain,
    leq(X1,addition(X1,X2)),
    inference(spm,[status(thm)],[c_0_28,c_0_49]) ).

cnf(c_0_64,plain,
    addition(one,addition(star(X1),multiplication(star(X1),X1))) = star(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_57]),c_0_45]),c_0_22]) ).

cnf(c_0_65,plain,
    addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_22]) ).

cnf(c_0_66,plain,
    multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_67,negated_conjecture,
    leq(multiplication(esk1_0,star(zero)),esk2_0),
    inference(spm,[status(thm)],[c_0_33,c_0_61]) ).

cnf(c_0_68,plain,
    ( leq(X1,X2)
    | ~ leq(addition(X2,X1),X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_59]),c_0_62]),c_0_59]) ).

cnf(c_0_69,plain,
    leq(X1,addition(X2,X1)),
    inference(spm,[status(thm)],[c_0_63,c_0_22]) ).

cnf(c_0_70,plain,
    addition(one,multiplication(star(X1),addition(X1,one))) = star(X1),
    inference(rw,[status(thm)],[c_0_64,c_0_65]) ).

fof(c_0_71,plain,
    ! [X21,X22,X23] : multiplication(addition(X21,X22),X23) = addition(multiplication(X21,X23),multiplication(X22,X23)),
    inference(variable_rename,[status(thm)],[left_distributivity]) ).

cnf(c_0_72,plain,
    ( leq(multiplication(X1,multiplication(X2,star(X3))),X1)
    | ~ leq(multiplication(X1,addition(X3,X2)),X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_58]),c_0_66]) ).

cnf(c_0_73,negated_conjecture,
    addition(esk2_0,multiplication(esk1_0,star(zero))) = esk2_0,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_67]),c_0_22]) ).

cnf(c_0_74,plain,
    ( leq(multiplication(X1,X2),X1)
    | ~ leq(multiplication(X1,addition(X2,one)),X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_65]) ).

cnf(c_0_75,plain,
    leq(multiplication(star(X1),addition(X1,one)),star(X1)),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_76,plain,
    multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_77,negated_conjecture,
    ( leq(multiplication(X1,multiplication(esk1_0,star(esk2_0))),X1)
    | ~ leq(multiplication(X1,esk2_0),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_48]),c_0_59]) ).

cnf(c_0_78,plain,
    leq(multiplication(star(X1),X1),star(X1)),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

fof(c_0_79,plain,
    ! [X30,X31,X32] :
      ( ~ leq(addition(multiplication(X30,X31),X32),X31)
      | leq(multiplication(star(X30),X32),X31) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction_left])]) ).

cnf(c_0_80,plain,
    ( leq(multiplication(X1,X2),multiplication(X3,X2))
    | multiplication(addition(X1,X3),X2) != multiplication(X3,X2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_76]) ).

cnf(c_0_81,negated_conjecture,
    leq(multiplication(star(esk2_0),multiplication(esk1_0,star(esk2_0))),star(esk2_0)),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_82,plain,
    ( leq(multiplication(star(X1),X3),X2)
    | ~ leq(addition(multiplication(X1,X2),X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_83,plain,
    leq(X1,multiplication(star(X2),X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_56]),c_0_37]) ).

cnf(c_0_84,negated_conjecture,
    multiplication(star(esk2_0),addition(one,multiplication(esk1_0,star(esk2_0)))) = star(esk2_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_81]),c_0_22]),c_0_65]),c_0_22]) ).

cnf(c_0_85,plain,
    ( leq(multiplication(star(X1),X2),X3)
    | ~ leq(addition(X2,multiplication(X1,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_82,c_0_22]) ).

cnf(c_0_86,negated_conjecture,
    leq(addition(one,multiplication(esk1_0,star(esk2_0))),star(esk2_0)),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_87,negated_conjecture,
    ~ leq(star(esk1_0),star(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_88,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_59]),c_0_87]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : KLE041+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 2400
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Oct  3 05:02:24 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  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.6rzpX9CrPs/E---3.1_30636.p
% 0.21/0.63  # Version: 3.1pre001
% 0.21/0.63  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.63  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.63  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.63  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.63  # Starting sh5l with 300s (1) cores
% 0.21/0.63  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 30714 completed with status 0
% 0.21/0.63  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.63  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.63  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.63  # No SInE strategy applied
% 0.21/0.63  # Search class: FHUSM-FFSF21-MFFFFFNN
% 0.21/0.63  # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.63  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.21/0.63  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.63  # Starting G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with 136s (1) cores
% 0.21/0.63  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.21/0.63  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2U with 136s (1) cores
% 0.21/0.63  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 30721 completed with status 0
% 0.21/0.63  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.21/0.63  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.63  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.63  # No SInE strategy applied
% 0.21/0.63  # Search class: FHUSM-FFSF21-MFFFFFNN
% 0.21/0.63  # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.63  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.21/0.63  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.63  # Starting G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with 136s (1) cores
% 0.21/0.63  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.21/0.63  # Preprocessing time       : 0.001 s
% 0.21/0.63  # Presaturation interreduction done
% 0.21/0.63  
% 0.21/0.63  # Proof found!
% 0.21/0.63  # SZS status Theorem
% 0.21/0.63  # SZS output start CNFRefutation
% See solution above
% 0.21/0.63  # Parsed axioms                        : 17
% 0.21/0.63  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.63  # Initial clauses                      : 19
% 0.21/0.63  # Removed in clause preprocessing      : 0
% 0.21/0.63  # Initial clauses in saturation        : 19
% 0.21/0.63  # Processed clauses                    : 1655
% 0.21/0.63  # ...of these trivial                  : 160
% 0.21/0.63  # ...subsumed                          : 1108
% 0.21/0.63  # ...remaining for further processing  : 387
% 0.21/0.63  # Other redundant clauses eliminated   : 24
% 0.21/0.63  # Clauses deleted for lack of memory   : 0
% 0.21/0.63  # Backward-subsumed                    : 10
% 0.21/0.63  # Backward-rewritten                   : 24
% 0.21/0.63  # Generated clauses                    : 7313
% 0.21/0.63  # ...of the previous two non-redundant : 5255
% 0.21/0.63  # ...aggressively subsumed             : 0
% 0.21/0.63  # Contextual simplify-reflections      : 0
% 0.21/0.63  # Paramodulations                      : 7289
% 0.21/0.63  # Factorizations                       : 0
% 0.21/0.63  # NegExts                              : 0
% 0.21/0.63  # Equation resolutions                 : 24
% 0.21/0.63  # Total rewrite steps                  : 7177
% 0.21/0.63  # Propositional unsat checks           : 0
% 0.21/0.63  #    Propositional check models        : 0
% 0.21/0.63  #    Propositional check unsatisfiable : 0
% 0.21/0.63  #    Propositional clauses             : 0
% 0.21/0.63  #    Propositional clauses after purity: 0
% 0.21/0.63  #    Propositional unsat core size     : 0
% 0.21/0.63  #    Propositional preprocessing time  : 0.000
% 0.21/0.63  #    Propositional encoding time       : 0.000
% 0.21/0.63  #    Propositional solver time         : 0.000
% 0.21/0.63  #    Success case prop preproc time    : 0.000
% 0.21/0.63  #    Success case prop encoding time   : 0.000
% 0.21/0.63  #    Success case prop solver time     : 0.000
% 0.21/0.63  # Current number of processed clauses  : 334
% 0.21/0.63  #    Positive orientable unit clauses  : 130
% 0.21/0.63  #    Positive unorientable unit clauses: 4
% 0.21/0.63  #    Negative unit clauses             : 1
% 0.21/0.63  #    Non-unit-clauses                  : 199
% 0.21/0.63  # Current number of unprocessed clauses: 3571
% 0.21/0.63  # ...number of literals in the above   : 6211
% 0.21/0.63  # Current number of archived formulas  : 0
% 0.21/0.63  # Current number of archived clauses   : 53
% 0.21/0.63  # Clause-clause subsumption calls (NU) : 12136
% 0.21/0.63  # Rec. Clause-clause subsumption calls : 12124
% 0.21/0.63  # Non-unit clause-clause subsumptions  : 1052
% 0.21/0.63  # Unit Clause-clause subsumption calls : 436
% 0.21/0.63  # Rewrite failures with RHS unbound    : 0
% 0.21/0.63  # BW rewrite match attempts            : 304
% 0.21/0.63  # BW rewrite match successes           : 98
% 0.21/0.63  # Condensation attempts                : 0
% 0.21/0.63  # Condensation successes               : 0
% 0.21/0.63  # Termbank termtop insertions          : 77255
% 0.21/0.63  
% 0.21/0.63  # -------------------------------------------------
% 0.21/0.63  # User time                : 0.104 s
% 0.21/0.63  # System time              : 0.005 s
% 0.21/0.63  # Total time               : 0.109 s
% 0.21/0.63  # Maximum resident set size: 1732 pages
% 0.21/0.63  
% 0.21/0.63  # -------------------------------------------------
% 0.21/0.63  # User time                : 0.542 s
% 0.21/0.63  # System time              : 0.028 s
% 0.21/0.63  # Total time               : 0.570 s
% 0.21/0.63  # Maximum resident set size: 1688 pages
% 0.21/0.63  % E---3.1 exiting
% 0.21/0.64  % E---3.1 exiting
%------------------------------------------------------------------------------