TSTP Solution File: KLE120+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : KLE120+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 18:05:01 EDT 2023

% Result   : Theorem 3.44s 0.87s
% Output   : CNFRefutation 3.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  100 ( 100 unt;   0 def)
%            Number of atoms       :  100 (  99 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    8 (   8   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :  134 (   4 sgn;  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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.eLbwmVuOBp/E---3.1_31238.p',left_distributivity) ).

fof(domain1,axiom,
    ! [X4] : multiplication(antidomain(X4),X4) = zero,
    file('/export/starexec/sandbox/tmp/tmp.eLbwmVuOBp/E---3.1_31238.p',domain1) ).

fof(additive_identity,axiom,
    ! [X1] : addition(X1,zero) = X1,
    file('/export/starexec/sandbox/tmp/tmp.eLbwmVuOBp/E---3.1_31238.p',additive_identity) ).

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.eLbwmVuOBp/E---3.1_31238.p',right_distributivity) ).

fof(codomain1,axiom,
    ! [X4] : multiplication(X4,coantidomain(X4)) = zero,
    file('/export/starexec/sandbox/tmp/tmp.eLbwmVuOBp/E---3.1_31238.p',codomain1) ).

fof(additive_commutativity,axiom,
    ! [X1,X2] : addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.eLbwmVuOBp/E---3.1_31238.p',additive_commutativity) ).

fof(domain3,axiom,
    ! [X4] : addition(antidomain(antidomain(X4)),antidomain(X4)) = one,
    file('/export/starexec/sandbox/tmp/tmp.eLbwmVuOBp/E---3.1_31238.p',domain3) ).

fof(codomain3,axiom,
    ! [X4] : addition(coantidomain(coantidomain(X4)),coantidomain(X4)) = one,
    file('/export/starexec/sandbox/tmp/tmp.eLbwmVuOBp/E---3.1_31238.p',codomain3) ).

fof(multiplicative_left_identity,axiom,
    ! [X1] : multiplication(one,X1) = X1,
    file('/export/starexec/sandbox/tmp/tmp.eLbwmVuOBp/E---3.1_31238.p',multiplicative_left_identity) ).

fof(multiplicative_associativity,axiom,
    ! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    file('/export/starexec/sandbox/tmp/tmp.eLbwmVuOBp/E---3.1_31238.p',multiplicative_associativity) ).

fof(left_annihilation,axiom,
    ! [X1] : multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox/tmp/tmp.eLbwmVuOBp/E---3.1_31238.p',left_annihilation) ).

fof(additive_associativity,axiom,
    ! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    file('/export/starexec/sandbox/tmp/tmp.eLbwmVuOBp/E---3.1_31238.p',additive_associativity) ).

fof(additive_idempotence,axiom,
    ! [X1] : addition(X1,X1) = X1,
    file('/export/starexec/sandbox/tmp/tmp.eLbwmVuOBp/E---3.1_31238.p',additive_idempotence) ).

fof(multiplicative_right_identity,axiom,
    ! [X1] : multiplication(X1,one) = X1,
    file('/export/starexec/sandbox/tmp/tmp.eLbwmVuOBp/E---3.1_31238.p',multiplicative_right_identity) ).

fof(goals,conjecture,
    ! [X4] : addition(backward_diamond(one,domain(X4)),domain(X4)) = domain(X4),
    file('/export/starexec/sandbox/tmp/tmp.eLbwmVuOBp/E---3.1_31238.p',goals) ).

fof(backward_diamond,axiom,
    ! [X4,X5] : backward_diamond(X4,X5) = codomain(multiplication(codomain(X5),X4)),
    file('/export/starexec/sandbox/tmp/tmp.eLbwmVuOBp/E---3.1_31238.p',backward_diamond) ).

fof(codomain4,axiom,
    ! [X4] : codomain(X4) = coantidomain(coantidomain(X4)),
    file('/export/starexec/sandbox/tmp/tmp.eLbwmVuOBp/E---3.1_31238.p',codomain4) ).

fof(codomain2,axiom,
    ! [X4,X5] : addition(coantidomain(multiplication(X4,X5)),coantidomain(multiplication(coantidomain(coantidomain(X4)),X5))) = coantidomain(multiplication(coantidomain(coantidomain(X4)),X5)),
    file('/export/starexec/sandbox/tmp/tmp.eLbwmVuOBp/E---3.1_31238.p',codomain2) ).

fof(domain4,axiom,
    ! [X4] : domain(X4) = antidomain(antidomain(X4)),
    file('/export/starexec/sandbox/tmp/tmp.eLbwmVuOBp/E---3.1_31238.p',domain4) ).

fof(c_0_19,plain,
    ! [X21,X22,X23] : multiplication(addition(X21,X22),X23) = addition(multiplication(X21,X23),multiplication(X22,X23)),
    inference(variable_rename,[status(thm)],[left_distributivity]) ).

fof(c_0_20,plain,
    ! [X28] : multiplication(antidomain(X28),X28) = zero,
    inference(variable_rename,[status(thm)],[domain1]) ).

fof(c_0_21,plain,
    ! [X11] : addition(X11,zero) = X11,
    inference(variable_rename,[status(thm)],[additive_identity]) ).

fof(c_0_22,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_23,plain,
    ! [X33] : multiplication(X33,coantidomain(X33)) = zero,
    inference(variable_rename,[status(thm)],[codomain1]) ).

cnf(c_0_24,plain,
    multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_25,plain,
    multiplication(antidomain(X1),X1) = zero,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_26,plain,
    addition(X1,zero) = X1,
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_27,plain,
    ! [X6,X7] : addition(X6,X7) = addition(X7,X6),
    inference(variable_rename,[status(thm)],[additive_commutativity]) ).

fof(c_0_28,plain,
    ! [X31] : addition(antidomain(antidomain(X31)),antidomain(X31)) = one,
    inference(variable_rename,[status(thm)],[domain3]) ).

fof(c_0_29,plain,
    ! [X36] : addition(coantidomain(coantidomain(X36)),coantidomain(X36)) = one,
    inference(variable_rename,[status(thm)],[codomain3]) ).

fof(c_0_30,plain,
    ! [X17] : multiplication(one,X17) = X17,
    inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).

cnf(c_0_31,plain,
    multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_32,plain,
    multiplication(X1,coantidomain(X1)) = zero,
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_33,plain,
    ! [X13,X14,X15] : multiplication(X13,multiplication(X14,X15)) = multiplication(multiplication(X13,X14),X15),
    inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).

fof(c_0_34,plain,
    ! [X25] : multiplication(zero,X25) = zero,
    inference(variable_rename,[status(thm)],[left_annihilation]) ).

cnf(c_0_35,plain,
    multiplication(addition(X1,antidomain(X2)),X2) = multiplication(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

cnf(c_0_36,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_37,plain,
    addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_38,plain,
    addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_39,plain,
    multiplication(one,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_40,plain,
    ! [X8,X9,X10] : addition(X10,addition(X9,X8)) = addition(addition(X10,X9),X8),
    inference(variable_rename,[status(thm)],[additive_associativity]) ).

fof(c_0_41,plain,
    ! [X12] : addition(X12,X12) = X12,
    inference(variable_rename,[status(thm)],[additive_idempotence]) ).

cnf(c_0_42,plain,
    multiplication(X1,addition(X2,coantidomain(X1))) = multiplication(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_26]) ).

fof(c_0_43,plain,
    ! [X16] : multiplication(X16,one) = X16,
    inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).

cnf(c_0_44,plain,
    multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_45,plain,
    multiplication(zero,X1) = zero,
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_46,plain,
    multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_47,plain,
    addition(antidomain(X1),antidomain(antidomain(X1))) = one,
    inference(rw,[status(thm)],[c_0_37,c_0_36]) ).

cnf(c_0_48,plain,
    addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one,
    inference(rw,[status(thm)],[c_0_38,c_0_36]) ).

cnf(c_0_49,plain,
    coantidomain(one) = zero,
    inference(spm,[status(thm)],[c_0_39,c_0_32]) ).

cnf(c_0_50,plain,
    addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_51,plain,
    addition(X1,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_52,plain,
    multiplication(X1,addition(coantidomain(X1),X2)) = multiplication(X1,X2),
    inference(spm,[status(thm)],[c_0_42,c_0_36]) ).

cnf(c_0_53,plain,
    multiplication(X1,one) = X1,
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_54,negated_conjecture,
    ~ ! [X4] : addition(backward_diamond(one,domain(X4)),domain(X4)) = domain(X4),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_55,plain,
    ! [X43,X44] : backward_diamond(X43,X44) = codomain(multiplication(codomain(X44),X43)),
    inference(variable_rename,[status(thm)],[backward_diamond]) ).

fof(c_0_56,plain,
    ! [X37] : codomain(X37) = coantidomain(coantidomain(X37)),
    inference(variable_rename,[status(thm)],[codomain4]) ).

fof(c_0_57,plain,
    ! [X34,X35] : addition(coantidomain(multiplication(X34,X35)),coantidomain(multiplication(coantidomain(coantidomain(X34)),X35))) = coantidomain(multiplication(coantidomain(coantidomain(X34)),X35)),
    inference(variable_rename,[status(thm)],[codomain2]) ).

cnf(c_0_58,plain,
    multiplication(antidomain(X1),multiplication(X1,X2)) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_25]),c_0_45]) ).

cnf(c_0_59,plain,
    multiplication(antidomain(antidomain(X1)),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_39]) ).

cnf(c_0_60,plain,
    addition(zero,coantidomain(zero)) = one,
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_61,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_26,c_0_36]) ).

cnf(c_0_62,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_63,plain,
    addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_39]),c_0_36]) ).

cnf(c_0_64,plain,
    multiplication(X1,coantidomain(coantidomain(X1))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_48]),c_0_53]) ).

fof(c_0_65,negated_conjecture,
    addition(backward_diamond(one,domain(esk1_0)),domain(esk1_0)) != domain(esk1_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])]) ).

fof(c_0_66,plain,
    ! [X32] : domain(X32) = antidomain(antidomain(X32)),
    inference(variable_rename,[status(thm)],[domain4]) ).

cnf(c_0_67,plain,
    backward_diamond(X1,X2) = codomain(multiplication(codomain(X2),X1)),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_68,plain,
    codomain(X1) = coantidomain(coantidomain(X1)),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_69,plain,
    addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_70,plain,
    multiplication(antidomain(antidomain(antidomain(X1))),X1) = zero,
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_71,plain,
    coantidomain(zero) = one,
    inference(rw,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_72,plain,
    addition(one,coantidomain(X1)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_48]),c_0_36]) ).

cnf(c_0_73,plain,
    multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_25]),c_0_26]) ).

cnf(c_0_74,plain,
    multiplication(addition(X1,one),coantidomain(coantidomain(X1))) = addition(X1,coantidomain(coantidomain(X1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_36]) ).

cnf(c_0_75,negated_conjecture,
    addition(backward_diamond(one,domain(esk1_0)),domain(esk1_0)) != domain(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_76,plain,
    domain(X1) = antidomain(antidomain(X1)),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_77,plain,
    backward_diamond(X1,X2) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X2)),X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68]),c_0_68]) ).

cnf(c_0_78,plain,
    coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(X1))))),X1)) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),c_0_72]) ).

cnf(c_0_79,plain,
    antidomain(antidomain(antidomain(X1))) = antidomain(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_47]),c_0_53]),c_0_59]) ).

cnf(c_0_80,plain,
    multiplication(addition(one,X1),coantidomain(coantidomain(X1))) = addition(X1,coantidomain(coantidomain(X1))),
    inference(spm,[status(thm)],[c_0_74,c_0_36]) ).

cnf(c_0_81,plain,
    addition(one,antidomain(X1)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_47]),c_0_36]) ).

cnf(c_0_82,negated_conjecture,
    addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))),one))),antidomain(antidomain(esk1_0))) != antidomain(antidomain(esk1_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76]),c_0_76]),c_0_76]),c_0_77]) ).

cnf(c_0_83,plain,
    coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)) = one,
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_84,plain,
    addition(antidomain(X1),addition(antidomain(antidomain(X1)),X2)) = addition(one,X2),
    inference(spm,[status(thm)],[c_0_50,c_0_47]) ).

cnf(c_0_85,plain,
    addition(antidomain(X1),coantidomain(coantidomain(antidomain(X1)))) = coantidomain(coantidomain(antidomain(X1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_39]) ).

cnf(c_0_86,negated_conjecture,
    addition(coantidomain(coantidomain(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))))),antidomain(antidomain(esk1_0))) != antidomain(antidomain(esk1_0)),
    inference(rw,[status(thm)],[c_0_82,c_0_53]) ).

cnf(c_0_87,plain,
    multiplication(addition(X1,X2),coantidomain(X2)) = multiplication(X1,coantidomain(X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_32]),c_0_26]) ).

cnf(c_0_88,plain,
    multiplication(coantidomain(coantidomain(antidomain(X1))),X1) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_83]),c_0_53]) ).

cnf(c_0_89,plain,
    addition(antidomain(X1),coantidomain(coantidomain(antidomain(antidomain(X1))))) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_72]) ).

cnf(c_0_90,negated_conjecture,
    addition(antidomain(antidomain(esk1_0)),coantidomain(coantidomain(coantidomain(coantidomain(antidomain(antidomain(esk1_0))))))) != antidomain(antidomain(esk1_0)),
    inference(rw,[status(thm)],[c_0_86,c_0_36]) ).

cnf(c_0_91,plain,
    coantidomain(coantidomain(coantidomain(X1))) = coantidomain(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_48]),c_0_39]),c_0_64]) ).

cnf(c_0_92,plain,
    multiplication(addition(coantidomain(coantidomain(antidomain(X1))),X2),X1) = multiplication(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_88]),c_0_61]) ).

cnf(c_0_93,plain,
    addition(antidomain(antidomain(X1)),coantidomain(coantidomain(antidomain(X1)))) = one,
    inference(spm,[status(thm)],[c_0_89,c_0_79]) ).

cnf(c_0_94,negated_conjecture,
    addition(antidomain(antidomain(esk1_0)),coantidomain(coantidomain(antidomain(antidomain(esk1_0))))) != antidomain(antidomain(esk1_0)),
    inference(rw,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_95,plain,
    multiplication(coantidomain(antidomain(X1)),X1) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_48]),c_0_39]),c_0_91]) ).

cnf(c_0_96,plain,
    multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1))) = coantidomain(antidomain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_93]),c_0_53]) ).

cnf(c_0_97,negated_conjecture,
    coantidomain(coantidomain(antidomain(antidomain(esk1_0)))) != antidomain(antidomain(esk1_0)),
    inference(rw,[status(thm)],[c_0_94,c_0_85]) ).

cnf(c_0_98,plain,
    coantidomain(antidomain(X1)) = antidomain(antidomain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_79]),c_0_96]) ).

cnf(c_0_99,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98]),c_0_79]),c_0_98])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : KLE120+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n004.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Oct  3 04:48:45 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.16/0.43  Running first-order model finding
% 0.16/0.43  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.eLbwmVuOBp/E---3.1_31238.p
% 3.44/0.87  # Version: 3.1pre001
% 3.44/0.87  # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.44/0.87  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.44/0.87  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.44/0.87  # Starting new_bool_3 with 300s (1) cores
% 3.44/0.87  # Starting new_bool_1 with 300s (1) cores
% 3.44/0.87  # Starting sh5l with 300s (1) cores
% 3.44/0.87  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 31321 completed with status 0
% 3.44/0.87  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.44/0.87  # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.44/0.87  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.44/0.87  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.44/0.87  # No SInE strategy applied
% 3.44/0.87  # Search class: FHUSM-FFSF21-DFFFFFNN
% 3.44/0.87  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.44/0.87  # Starting G-E--_041_C18_F1_PI_AE_Q4_CS_SP_S0Y with 541s (1) cores
% 3.44/0.87  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.44/0.87  # Starting new_bool_3 with 271s (1) cores
% 3.44/0.87  # Starting U----_206d_02_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 3.44/0.87  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 3.44/0.87  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 31328 completed with status 0
% 3.44/0.87  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.44/0.87  # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.44/0.87  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.44/0.87  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.44/0.87  # No SInE strategy applied
% 3.44/0.87  # Search class: FHUSM-FFSF21-DFFFFFNN
% 3.44/0.87  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.44/0.87  # Starting G-E--_041_C18_F1_PI_AE_Q4_CS_SP_S0Y with 541s (1) cores
% 3.44/0.87  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.44/0.87  # Preprocessing time       : 0.001 s
% 3.44/0.87  # Presaturation interreduction done
% 3.44/0.87  
% 3.44/0.87  # Proof found!
% 3.44/0.87  # SZS status Theorem
% 3.44/0.87  # SZS output start CNFRefutation
% See solution above
% 3.44/0.87  # Parsed axioms                        : 27
% 3.44/0.87  # Removed by relevancy pruning/SinE    : 0
% 3.44/0.87  # Initial clauses                      : 28
% 3.44/0.87  # Removed in clause preprocessing      : 8
% 3.44/0.87  # Initial clauses in saturation        : 20
% 3.44/0.87  # Processed clauses                    : 1770
% 3.44/0.87  # ...of these trivial                  : 538
% 3.44/0.87  # ...subsumed                          : 790
% 3.44/0.87  # ...remaining for further processing  : 442
% 3.44/0.87  # Other redundant clauses eliminated   : 0
% 3.44/0.87  # Clauses deleted for lack of memory   : 0
% 3.44/0.87  # Backward-subsumed                    : 0
% 3.44/0.87  # Backward-rewritten                   : 82
% 3.44/0.87  # Generated clauses                    : 51458
% 3.44/0.87  # ...of the previous two non-redundant : 20752
% 3.44/0.87  # ...aggressively subsumed             : 0
% 3.44/0.87  # Contextual simplify-reflections      : 0
% 3.44/0.87  # Paramodulations                      : 51458
% 3.44/0.87  # Factorizations                       : 0
% 3.44/0.87  # NegExts                              : 0
% 3.44/0.87  # Equation resolutions                 : 0
% 3.44/0.87  # Total rewrite steps                  : 141996
% 3.44/0.87  # Propositional unsat checks           : 0
% 3.44/0.87  #    Propositional check models        : 0
% 3.44/0.87  #    Propositional check unsatisfiable : 0
% 3.44/0.87  #    Propositional clauses             : 0
% 3.44/0.87  #    Propositional clauses after purity: 0
% 3.44/0.87  #    Propositional unsat core size     : 0
% 3.44/0.87  #    Propositional preprocessing time  : 0.000
% 3.44/0.87  #    Propositional encoding time       : 0.000
% 3.44/0.87  #    Propositional solver time         : 0.000
% 3.44/0.87  #    Success case prop preproc time    : 0.000
% 3.44/0.87  #    Success case prop encoding time   : 0.000
% 3.44/0.87  #    Success case prop solver time     : 0.000
% 3.44/0.87  # Current number of processed clauses  : 340
% 3.44/0.87  #    Positive orientable unit clauses  : 332
% 3.44/0.87  #    Positive unorientable unit clauses: 6
% 3.44/0.87  #    Negative unit clauses             : 0
% 3.44/0.87  #    Non-unit-clauses                  : 2
% 3.44/0.87  # Current number of unprocessed clauses: 18707
% 3.44/0.87  # ...number of literals in the above   : 18707
% 3.44/0.87  # Current number of archived formulas  : 0
% 3.44/0.87  # Current number of archived clauses   : 110
% 3.44/0.87  # Clause-clause subsumption calls (NU) : 0
% 3.44/0.87  # Rec. Clause-clause subsumption calls : 0
% 3.44/0.87  # Non-unit clause-clause subsumptions  : 0
% 3.44/0.87  # Unit Clause-clause subsumption calls : 17
% 3.44/0.87  # Rewrite failures with RHS unbound    : 0
% 3.44/0.87  # BW rewrite match attempts            : 1630
% 3.44/0.87  # BW rewrite match successes           : 176
% 3.44/0.87  # Condensation attempts                : 0
% 3.44/0.87  # Condensation successes               : 0
% 3.44/0.87  # Termbank termtop insertions          : 683714
% 3.44/0.87  
% 3.44/0.87  # -------------------------------------------------
% 3.44/0.87  # User time                : 0.393 s
% 3.44/0.87  # System time              : 0.014 s
% 3.44/0.87  # Total time               : 0.407 s
% 3.44/0.87  # Maximum resident set size: 1776 pages
% 3.44/0.87  
% 3.44/0.87  # -------------------------------------------------
% 3.44/0.87  # User time                : 1.886 s
% 3.44/0.87  # System time              : 0.068 s
% 3.44/0.87  # Total time               : 1.954 s
% 3.44/0.87  # Maximum resident set size: 1692 pages
% 3.44/0.87  % E---3.1 exiting
%------------------------------------------------------------------------------