TSTP Solution File: KLE111+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : KLE111+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 18:04:12 EDT 2023
% Result : Theorem 244.21s 31.42s
% Output : CNFRefutation 244.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 24
% Syntax : Number of formulae : 247 ( 247 unt; 0 def)
% Number of atoms : 247 ( 246 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 20 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 433 ( 57 sgn; 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(domain3,axiom,
! [X4] : addition(antidomain(antidomain(X4)),antidomain(X4)) = one,
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',domain3) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',additive_commutativity) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',multiplicative_right_identity) ).
fof(domain1,axiom,
! [X4] : multiplication(antidomain(X4),X4) = zero,
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',domain1) ).
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.abuYAjqh5s/E---3.1_28041.p',left_distributivity) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',additive_identity) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',additive_associativity) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',additive_idempotence) ).
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.abuYAjqh5s/E---3.1_28041.p',right_distributivity) ).
fof(codomain1,axiom,
! [X4] : multiplication(X4,coantidomain(X4)) = zero,
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',codomain1) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',multiplicative_associativity) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',left_annihilation) ).
fof(codomain3,axiom,
! [X4] : addition(coantidomain(coantidomain(X4)),coantidomain(X4)) = one,
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',codomain3) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',multiplicative_left_identity) ).
fof(domain2,axiom,
! [X4,X5] : addition(antidomain(multiplication(X4,X5)),antidomain(multiplication(X4,antidomain(antidomain(X5))))) = antidomain(multiplication(X4,antidomain(antidomain(X5)))),
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',domain2) ).
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.abuYAjqh5s/E---3.1_28041.p',codomain2) ).
fof(right_annihilation,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',right_annihilation) ).
fof(complement,axiom,
! [X4] : c(X4) = antidomain(domain(X4)),
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',complement) ).
fof(domain4,axiom,
! [X4] : domain(X4) = antidomain(antidomain(X4)),
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',domain4) ).
fof(forward_diamond,axiom,
! [X4,X5] : forward_diamond(X4,X5) = domain(multiplication(X4,domain(X5))),
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',forward_diamond) ).
fof(goals,conjecture,
! [X4,X5] : addition(backward_diamond(X4,forward_box(X4,domain(X5))),domain(X5)) = domain(X5),
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',goals) ).
fof(forward_box,axiom,
! [X4,X5] : forward_box(X4,X5) = c(forward_diamond(X4,c(X5))),
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',forward_box) ).
fof(backward_diamond,axiom,
! [X4,X5] : backward_diamond(X4,X5) = codomain(multiplication(codomain(X5),X4)),
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',backward_diamond) ).
fof(codomain4,axiom,
! [X4] : codomain(X4) = coantidomain(coantidomain(X4)),
file('/export/starexec/sandbox/tmp/tmp.abuYAjqh5s/E---3.1_28041.p',codomain4) ).
fof(c_0_24,plain,
! [X31] : addition(antidomain(antidomain(X31)),antidomain(X31)) = one,
inference(variable_rename,[status(thm)],[domain3]) ).
fof(c_0_25,plain,
! [X6,X7] : addition(X6,X7) = addition(X7,X6),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_26,plain,
! [X16] : multiplication(X16,one) = X16,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_27,plain,
! [X28] : multiplication(antidomain(X28),X28) = zero,
inference(variable_rename,[status(thm)],[domain1]) ).
fof(c_0_28,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_29,plain,
! [X11] : addition(X11,zero) = X11,
inference(variable_rename,[status(thm)],[additive_identity]) ).
cnf(c_0_30,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
multiplication(antidomain(X1),X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_34,plain,
! [X8,X9,X10] : addition(X10,addition(X9,X8)) = addition(addition(X10,X9),X8),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_35,plain,
! [X12] : addition(X12,X12) = X12,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
fof(c_0_36,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_37,plain,
! [X33] : multiplication(X33,coantidomain(X33)) = zero,
inference(variable_rename,[status(thm)],[codomain1]) ).
cnf(c_0_38,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_40,plain,
! [X13,X14,X15] : multiplication(X13,multiplication(X14,X15)) = multiplication(multiplication(X13,X14),X15),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
fof(c_0_41,plain,
! [X25] : multiplication(zero,X25) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
cnf(c_0_42,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_43,plain,
antidomain(one) = zero,
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_44,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_46,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_47,plain,
multiplication(X1,coantidomain(X1)) = zero,
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_48,plain,
! [X36] : addition(coantidomain(coantidomain(X36)),coantidomain(X36)) = one,
inference(variable_rename,[status(thm)],[codomain3]) ).
cnf(c_0_49,plain,
multiplication(addition(X1,antidomain(X2)),X2) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_33]),c_0_39]) ).
fof(c_0_50,plain,
! [X17] : multiplication(one,X17) = X17,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
fof(c_0_51,plain,
! [X29,X30] : addition(antidomain(multiplication(X29,X30)),antidomain(multiplication(X29,antidomain(antidomain(X30))))) = antidomain(multiplication(X29,antidomain(antidomain(X30)))),
inference(variable_rename,[status(thm)],[domain2]) ).
cnf(c_0_52,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_53,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_54,plain,
addition(zero,antidomain(zero)) = one,
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_55,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_39,c_0_31]) ).
cnf(c_0_56,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_57,plain,
multiplication(X1,addition(X2,coantidomain(X1))) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_39]) ).
cnf(c_0_58,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,plain,
multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
inference(spm,[status(thm)],[c_0_49,c_0_31]) ).
cnf(c_0_60,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_61,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_62,plain,
multiplication(X1,multiplication(coantidomain(X1),X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_47]),c_0_53]) ).
cnf(c_0_63,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_64,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_42]),c_0_31]) ).
cnf(c_0_65,plain,
multiplication(X1,addition(coantidomain(X1),X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_57,c_0_31]) ).
cnf(c_0_66,plain,
addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_58,c_0_31]) ).
fof(c_0_67,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_68,plain,
multiplication(antidomain(X1),multiplication(X1,X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_33]),c_0_53]) ).
cnf(c_0_69,plain,
multiplication(antidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_42]),c_0_60]) ).
cnf(c_0_70,plain,
coantidomain(one) = zero,
inference(spm,[status(thm)],[c_0_60,c_0_47]) ).
cnf(c_0_71,plain,
antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_64]) ).
cnf(c_0_72,plain,
multiplication(X1,coantidomain(coantidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_32]) ).
cnf(c_0_73,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_67]) ).
cnf(c_0_74,plain,
multiplication(antidomain(antidomain(antidomain(X1))),X1) = zero,
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,plain,
coantidomain(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_70]),c_0_55]) ).
cnf(c_0_76,plain,
addition(one,coantidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_66]),c_0_31]) ).
cnf(c_0_77,plain,
antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))) = one,
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
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_73,c_0_74]),c_0_75]),c_0_76]) ).
cnf(c_0_79,plain,
multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_33]),c_0_39]) ).
cnf(c_0_80,plain,
multiplication(X1,antidomain(antidomain(coantidomain(X1)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_77]),c_0_60]) ).
cnf(c_0_81,plain,
multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(X1))))),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_78]),c_0_32]) ).
cnf(c_0_82,plain,
antidomain(antidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_42]),c_0_32]),c_0_69]) ).
cnf(c_0_83,plain,
multiplication(antidomain(addition(X1,X2)),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_56]),c_0_33]) ).
cnf(c_0_84,plain,
multiplication(X1,addition(antidomain(antidomain(coantidomain(X1))),X2)) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_80]),c_0_55]) ).
cnf(c_0_85,plain,
multiplication(addition(X1,X2),coantidomain(X2)) = multiplication(X1,coantidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_47]),c_0_39]) ).
cnf(c_0_86,plain,
multiplication(coantidomain(coantidomain(antidomain(X1))),X1) = zero,
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_87,plain,
multiplication(addition(antidomain(addition(X1,X2)),X3),X1) = multiplication(X3,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_83]),c_0_55]) ).
cnf(c_0_88,plain,
multiplication(X1,antidomain(coantidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_42]),c_0_32]),c_0_82]) ).
cnf(c_0_89,plain,
coantidomain(coantidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_66]),c_0_60]),c_0_72]) ).
cnf(c_0_90,plain,
multiplication(addition(coantidomain(coantidomain(antidomain(X1))),X2),X1) = multiplication(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_86]),c_0_55]) ).
cnf(c_0_91,plain,
multiplication(antidomain(antidomain(addition(X1,X2))),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_42]),c_0_60]) ).
cnf(c_0_92,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_56,c_0_31]) ).
cnf(c_0_93,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_60]),c_0_31]) ).
cnf(c_0_94,plain,
multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1))) = coantidomain(coantidomain(X1)),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_95,plain,
multiplication(antidomain(X1),addition(X1,X2)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_33]),c_0_55]) ).
cnf(c_0_96,plain,
antidomain(multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_68]),c_0_63]),c_0_64]) ).
cnf(c_0_97,plain,
multiplication(X1,coantidomain(addition(X1,X2))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_56]),c_0_47]) ).
cnf(c_0_98,plain,
multiplication(coantidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_66]),c_0_60]),c_0_89]) ).
fof(c_0_99,plain,
! [X24] : multiplication(X24,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
cnf(c_0_100,plain,
addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4)) = addition(multiplication(X1,addition(X2,X3)),X4),
inference(spm,[status(thm)],[c_0_44,c_0_46]) ).
cnf(c_0_101,plain,
multiplication(antidomain(antidomain(addition(X1,X2))),X2) = X2,
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_102,plain,
addition(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_31]),c_0_76]),c_0_60]) ).
cnf(c_0_103,plain,
multiplication(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_66]),c_0_32]) ).
cnf(c_0_104,plain,
multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_96]),c_0_60]) ).
cnf(c_0_105,plain,
multiplication(X1,addition(coantidomain(addition(X1,X2)),X3)) = multiplication(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_97]),c_0_55]) ).
cnf(c_0_106,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_32]),c_0_31]) ).
cnf(c_0_107,plain,
multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1))) = antidomain(antidomain(X1)),
inference(spm,[status(thm)],[c_0_98,c_0_82]) ).
cnf(c_0_108,plain,
multiplication(antidomain(X1),coantidomain(antidomain(antidomain(X1)))) = coantidomain(antidomain(antidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_42]),c_0_60]) ).
cnf(c_0_109,plain,
addition(coantidomain(multiplication(X1,multiplication(X2,X3))),coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,X2))),X3))) = coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,X2))),X3)),
inference(spm,[status(thm)],[c_0_73,c_0_52]) ).
cnf(c_0_110,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_111,plain,
addition(multiplication(X1,X2),multiplication(addition(X1,X3),X4)) = addition(multiplication(X1,addition(X2,X4)),multiplication(X3,X4)),
inference(spm,[status(thm)],[c_0_100,c_0_38]) ).
cnf(c_0_112,plain,
coantidomain(coantidomain(X1)) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_82]),c_0_103]) ).
cnf(c_0_113,plain,
multiplication(antidomain(X1),addition(antidomain(antidomain(multiplication(X1,X2))),X3)) = multiplication(antidomain(X1),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_104]),c_0_55]) ).
cnf(c_0_114,plain,
multiplication(X1,coantidomain(coantidomain(addition(X1,X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_66]),c_0_32]) ).
cnf(c_0_115,plain,
addition(antidomain(antidomain(X1)),coantidomain(antidomain(X1))) = coantidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_31]),c_0_64]),c_0_32]),c_0_31]) ).
cnf(c_0_116,plain,
multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(X1))) = coantidomain(antidomain(X1)),
inference(spm,[status(thm)],[c_0_108,c_0_82]) ).
cnf(c_0_117,plain,
coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,X2))),coantidomain(X2))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_47]),c_0_110]),c_0_75]),c_0_76]) ).
cnf(c_0_118,plain,
addition(X1,multiplication(addition(X1,X2),coantidomain(X3))) = addition(X1,multiplication(X2,coantidomain(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_76]),c_0_32]),c_0_32]) ).
cnf(c_0_119,plain,
addition(coantidomain(X1),antidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_66,c_0_112]) ).
cnf(c_0_120,plain,
addition(X1,addition(coantidomain(X2),multiplication(X2,X1))) = multiplication(addition(X2,one),addition(X1,coantidomain(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_57]),c_0_44]) ).
cnf(c_0_121,plain,
multiplication(antidomain(X1),antidomain(multiplication(X1,X2))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_42]),c_0_32]),c_0_82]) ).
cnf(c_0_122,plain,
coantidomain(antidomain(X1)) = antidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_89]),c_0_116]) ).
cnf(c_0_123,plain,
multiplication(coantidomain(coantidomain(multiplication(X1,X2))),coantidomain(X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_117]),c_0_32]) ).
cnf(c_0_124,plain,
addition(coantidomain(X1),multiplication(antidomain(coantidomain(X1)),coantidomain(X2))) = addition(coantidomain(X1),coantidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_60]) ).
cnf(c_0_125,plain,
multiplication(addition(X1,one),X1) = multiplication(X1,addition(X1,one)),
inference(spm,[status(thm)],[c_0_106,c_0_93]) ).
cnf(c_0_126,plain,
multiplication(antidomain(addition(X1,X2)),X2) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_92]),c_0_33]) ).
cnf(c_0_127,plain,
addition(antidomain(antidomain(X1)),antidomain(multiplication(X1,X2))) = one,
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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]),c_0_31]),c_0_42]),c_0_31]),c_0_64]),c_0_31]),c_0_64]),c_0_122]),c_0_31]),c_0_60]) ).
cnf(c_0_128,plain,
multiplication(antidomain(coantidomain(multiplication(X1,X2))),coantidomain(X2)) = zero,
inference(rw,[status(thm)],[c_0_123,c_0_112]) ).
cnf(c_0_129,plain,
multiplication(antidomain(coantidomain(coantidomain(X1))),coantidomain(X1)) = antidomain(coantidomain(coantidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_66]),c_0_32]) ).
cnf(c_0_130,plain,
multiplication(antidomain(antidomain(X1)),multiplication(coantidomain(X2),X1)) = multiplication(coantidomain(X2),X1),
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)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_124]),c_0_112]),c_0_122]),c_0_82]),c_0_59]),c_0_112]),c_0_122]),c_0_82]),c_0_52]) ).
cnf(c_0_131,plain,
addition(multiplication(X1,X2),multiplication(X2,addition(X2,one))) = multiplication(addition(X1,addition(X2,one)),X2),
inference(spm,[status(thm)],[c_0_38,c_0_125]) ).
cnf(c_0_132,plain,
antidomain(multiplication(antidomain(addition(X1,X2)),antidomain(antidomain(X1)))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_83]),c_0_63]),c_0_64]) ).
cnf(c_0_133,plain,
multiplication(antidomain(addition(X1,X2)),addition(X2,one)) = antidomain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_126]),c_0_39]) ).
cnf(c_0_134,plain,
addition(antidomain(X1),antidomain(antidomain(addition(X1,X2)))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_91]),c_0_82]),c_0_31]) ).
cnf(c_0_135,plain,
addition(coantidomain(X1),coantidomain(multiplication(X2,X1))) = coantidomain(multiplication(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_128]),c_0_39]),c_0_31]) ).
cnf(c_0_136,plain,
antidomain(antidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_112]),c_0_69]),c_0_112]) ).
cnf(c_0_137,plain,
multiplication(X1,multiplication(antidomain(coantidomain(X1)),X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_52,c_0_88]) ).
cnf(c_0_138,plain,
multiplication(antidomain(X1),antidomain(multiplication(coantidomain(X2),X1))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_130]),c_0_82]),c_0_82]) ).
cnf(c_0_139,plain,
addition(antidomain(X1),antidomain(multiplication(X1,X2))) = antidomain(multiplication(X1,X2)),
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)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_121]),c_0_31]),c_0_64]),c_0_32]),c_0_31]),c_0_64]),c_0_31]),c_0_64]),c_0_60]) ).
cnf(c_0_140,plain,
multiplication(antidomain(addition(X1,X2)),antidomain(antidomain(X1))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_132]),c_0_60]) ).
cnf(c_0_141,plain,
addition(antidomain(X1),addition(antidomain(antidomain(X1)),X2)) = addition(one,X2),
inference(spm,[status(thm)],[c_0_44,c_0_42]) ).
cnf(c_0_142,plain,
multiplication(antidomain(addition(X1,X2)),addition(one,X2)) = antidomain(addition(X1,X2)),
inference(spm,[status(thm)],[c_0_133,c_0_31]) ).
cnf(c_0_143,plain,
multiplication(X1,multiplication(coantidomain(coantidomain(X1)),X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_52,c_0_72]) ).
cnf(c_0_144,plain,
multiplication(X1,multiplication(X2,coantidomain(multiplication(X1,X2)))) = zero,
inference(spm,[status(thm)],[c_0_47,c_0_52]) ).
cnf(c_0_145,plain,
multiplication(antidomain(multiplication(addition(X1,X2),X3)),multiplication(X1,X3)) = zero,
inference(spm,[status(thm)],[c_0_83,c_0_38]) ).
cnf(c_0_146,plain,
addition(antidomain(coantidomain(X1)),coantidomain(multiplication(X2,X1))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).
cnf(c_0_147,plain,
multiplication(X1,antidomain(multiplication(coantidomain(X2),coantidomain(X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_88]) ).
cnf(c_0_148,plain,
addition(antidomain(multiplication(X1,multiplication(X2,X3))),antidomain(multiplication(X1,multiplication(X2,antidomain(antidomain(X3)))))) = antidomain(multiplication(X1,multiplication(X2,antidomain(antidomain(X3))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_52]),c_0_52]) ).
cnf(c_0_149,plain,
addition(antidomain(X1),antidomain(multiplication(antidomain(antidomain(X1)),X2))) = antidomain(multiplication(antidomain(antidomain(X1)),X2)),
inference(spm,[status(thm)],[c_0_139,c_0_82]) ).
cnf(c_0_150,plain,
multiplication(antidomain(addition(X1,X2)),antidomain(antidomain(X2))) = zero,
inference(spm,[status(thm)],[c_0_140,c_0_92]) ).
cnf(c_0_151,plain,
multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),antidomain(X1)) = antidomain(addition(antidomain(antidomain(X1)),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_141]),c_0_142]) ).
cnf(c_0_152,plain,
multiplication(X1,multiplication(X2,coantidomain(multiplication(antidomain(coantidomain(X1)),X2)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_110]),c_0_112]) ).
cnf(c_0_153,plain,
multiplication(antidomain(X1),multiplication(coantidomain(X2),X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_119]),c_0_60]) ).
cnf(c_0_154,plain,
addition(coantidomain(X1),antidomain(multiplication(coantidomain(X2),coantidomain(X1)))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_122]),c_0_82]),c_0_31]) ).
cnf(c_0_155,plain,
antidomain(multiplication(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),multiplication(X1,X2))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_69]),c_0_31]),c_0_149]) ).
cnf(c_0_156,plain,
antidomain(addition(X1,antidomain(X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_82]),c_0_31]) ).
cnf(c_0_157,plain,
multiplication(antidomain(antidomain(X1)),multiplication(X1,X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_52,c_0_69]) ).
cnf(c_0_158,plain,
multiplication(X1,multiplication(coantidomain(X2),coantidomain(X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_75]),c_0_32]) ).
cnf(c_0_159,plain,
multiplication(antidomain(multiplication(coantidomain(X1),antidomain(X2))),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_154]),c_0_60]),c_0_112]),c_0_122]),c_0_82]) ).
cnf(c_0_160,plain,
antidomain(multiplication(X1,addition(X2,antidomain(X2)))) = antidomain(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_155,c_0_156]),c_0_63]),c_0_32]),c_0_157]),c_0_63]),c_0_32]) ).
cnf(c_0_161,plain,
multiplication(X1,addition(multiplication(X2,coantidomain(multiplication(X1,X2))),X3)) = multiplication(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_144]),c_0_55]) ).
cnf(c_0_162,plain,
coantidomain(multiplication(antidomain(coantidomain(multiplication(X1,coantidomain(X2)))),coantidomain(X1))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_158]),c_0_75]),c_0_112]),c_0_76]),c_0_112]) ).
cnf(c_0_163,plain,
multiplication(coantidomain(X1),coantidomain(X1)) = coantidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_66]),c_0_32]) ).
cnf(c_0_164,plain,
multiplication(antidomain(multiplication(antidomain(coantidomain(X1)),antidomain(X2))),X2) = X2,
inference(spm,[status(thm)],[c_0_159,c_0_112]) ).
cnf(c_0_165,plain,
antidomain(multiplication(X1,antidomain(multiplication(X2,coantidomain(multiplication(X1,X2)))))) = antidomain(X1),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_166,plain,
multiplication(antidomain(coantidomain(multiplication(X1,coantidomain(X2)))),coantidomain(X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_162]),c_0_32]) ).
cnf(c_0_167,plain,
addition(multiplication(X1,X2),addition(multiplication(X3,X2),X4)) = addition(multiplication(addition(X1,X3),X2),X4),
inference(spm,[status(thm)],[c_0_44,c_0_38]) ).
cnf(c_0_168,plain,
multiplication(addition(antidomain(antidomain(X1)),X2),X1) = multiplication(addition(one,X2),X1),
inference(spm,[status(thm)],[c_0_59,c_0_141]) ).
cnf(c_0_169,plain,
multiplication(coantidomain(X1),addition(X2,coantidomain(X1))) = multiplication(coantidomain(X1),addition(X2,one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_163]),c_0_31]),c_0_106]) ).
cnf(c_0_170,plain,
multiplication(antidomain(multiplication(antidomain(X1),antidomain(X2))),X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_122]),c_0_82]) ).
cnf(c_0_171,plain,
antidomain(multiplication(antidomain(coantidomain(multiplication(X1,coantidomain(X2)))),antidomain(coantidomain(X1)))) = coantidomain(multiplication(X1,coantidomain(X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_75]),c_0_32]),c_0_136]) ).
cnf(c_0_172,plain,
addition(multiplication(addition(one,X1),X2),X3) = addition(X2,addition(multiplication(X1,X2),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_69]),c_0_168]) ).
cnf(c_0_173,plain,
addition(X1,multiplication(coantidomain(X2),addition(X1,one))) = addition(X1,coantidomain(X2)),
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)],[inference(spm,[status(thm)],[c_0_93,c_0_169]),c_0_44]),c_0_106]),c_0_44]),c_0_45]),c_0_31]),c_0_76]),c_0_60]) ).
cnf(c_0_174,plain,
multiplication(antidomain(antidomain(multiplication(X1,X2))),antidomain(antidomain(X1))) = antidomain(antidomain(multiplication(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_127]),c_0_32]) ).
cnf(c_0_175,plain,
multiplication(coantidomain(multiplication(X1,coantidomain(X2))),coantidomain(X1)) = coantidomain(X1),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_176,plain,
antidomain(addition(X1,addition(X2,antidomain(X2)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_156]),c_0_63]),c_0_32]) ).
cnf(c_0_177,plain,
addition(X1,addition(multiplication(coantidomain(X2),X1),X3)) = addition(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_76]),c_0_60]),c_0_45]),c_0_32]) ).
cnf(c_0_178,plain,
multiplication(coantidomain(X1),coantidomain(multiplication(X1,coantidomain(X2)))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_136]),c_0_136]),c_0_136]) ).
cnf(c_0_179,plain,
antidomain(addition(X1,antidomain(multiplication(coantidomain(X2),X1)))) = zero,
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_180,plain,
addition(multiplication(X1,X2),multiplication(X3,addition(X2,X4))) = addition(multiplication(addition(X1,X3),X2),multiplication(X3,X4)),
inference(spm,[status(thm)],[c_0_167,c_0_46]) ).
cnf(c_0_181,plain,
multiplication(X1,coantidomain(multiplication(coantidomain(X1),coantidomain(X2)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_178]),c_0_112]),c_0_88]) ).
cnf(c_0_182,plain,
antidomain(multiplication(X1,addition(X2,antidomain(multiplication(coantidomain(X3),X2))))) = antidomain(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_155,c_0_179]),c_0_63]),c_0_32]),c_0_157]),c_0_63]),c_0_32]) ).
cnf(c_0_183,plain,
addition(multiplication(X1,X2),multiplication(X3,multiplication(X4,X2))) = multiplication(addition(X1,multiplication(X3,X4)),X2),
inference(spm,[status(thm)],[c_0_38,c_0_52]) ).
cnf(c_0_184,plain,
addition(X1,multiplication(antidomain(X2),addition(X1,X3))) = addition(X1,multiplication(antidomain(X2),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_64]),c_0_60]),c_0_60]) ).
cnf(c_0_185,plain,
addition(coantidomain(X1),coantidomain(multiplication(coantidomain(X1),coantidomain(X2)))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_181]),c_0_119]),c_0_122]),c_0_136]) ).
cnf(c_0_186,plain,
multiplication(coantidomain(X1),multiplication(coantidomain(X1),X2)) = multiplication(coantidomain(X1),X2),
inference(spm,[status(thm)],[c_0_52,c_0_163]) ).
cnf(c_0_187,plain,
antidomain(multiplication(antidomain(X1),antidomain(multiplication(coantidomain(X2),X1)))) = antidomain(antidomain(X1)),
inference(spm,[status(thm)],[c_0_182,c_0_95]) ).
cnf(c_0_188,plain,
multiplication(addition(X1,multiplication(antidomain(multiplication(X2,X3)),X2)),X3) = multiplication(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_33]),c_0_39]) ).
cnf(c_0_189,plain,
addition(coantidomain(X1),multiplication(antidomain(X2),antidomain(coantidomain(X1)))) = addition(coantidomain(X1),antidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_119]),c_0_32]) ).
cnf(c_0_190,plain,
addition(coantidomain(X1),antidomain(multiplication(antidomain(coantidomain(X1)),X2))) = antidomain(multiplication(antidomain(coantidomain(X1)),X2)),
inference(spm,[status(thm)],[c_0_139,c_0_136]) ).
cnf(c_0_191,plain,
multiplication(coantidomain(multiplication(antidomain(X1),coantidomain(X2))),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_185]),c_0_60]),c_0_112]),c_0_122]),c_0_82]) ).
cnf(c_0_192,plain,
addition(coantidomain(X1),antidomain(multiplication(coantidomain(X1),X2))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_186]),c_0_136]) ).
cnf(c_0_193,plain,
antidomain(multiplication(antidomain(X1),antidomain(multiplication(antidomain(coantidomain(X2)),X1)))) = antidomain(antidomain(X1)),
inference(spm,[status(thm)],[c_0_187,c_0_112]) ).
cnf(c_0_194,plain,
multiplication(antidomain(multiplication(antidomain(coantidomain(X1)),X2)),X2) = multiplication(coantidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190]) ).
cnf(c_0_195,plain,
multiplication(coantidomain(multiplication(antidomain(X1),antidomain(coantidomain(X2)))),X1) = X1,
inference(spm,[status(thm)],[c_0_191,c_0_112]) ).
cnf(c_0_196,plain,
multiplication(antidomain(multiplication(antidomain(X1),X2)),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_192]),c_0_60]),c_0_112]),c_0_122]),c_0_82]) ).
cnf(c_0_197,plain,
antidomain(multiplication(antidomain(X1),antidomain(multiplication(antidomain(X2),X1)))) = antidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_122]),c_0_82]) ).
fof(c_0_198,plain,
! [X38] : c(X38) = antidomain(domain(X38)),
inference(variable_rename,[status(thm)],[complement]) ).
fof(c_0_199,plain,
! [X32] : domain(X32) = antidomain(antidomain(X32)),
inference(variable_rename,[status(thm)],[domain4]) ).
fof(c_0_200,plain,
! [X41,X42] : forward_diamond(X41,X42) = domain(multiplication(X41,domain(X42))),
inference(variable_rename,[status(thm)],[forward_diamond]) ).
cnf(c_0_201,plain,
multiplication(antidomain(multiplication(antidomain(X1),X2)),X2) = multiplication(antidomain(antidomain(X1)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_122]),c_0_82]) ).
cnf(c_0_202,plain,
multiplication(X1,antidomain(multiplication(coantidomain(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_121]),c_0_88]) ).
cnf(c_0_203,plain,
multiplication(coantidomain(multiplication(antidomain(X1),antidomain(X2))),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_122]),c_0_82]) ).
cnf(c_0_204,plain,
multiplication(antidomain(X1),multiplication(antidomain(X2),antidomain(X1))) = multiplication(antidomain(X2),antidomain(X1)),
inference(spm,[status(thm)],[c_0_196,c_0_170]) ).
cnf(c_0_205,plain,
antidomain(multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),antidomain(antidomain(X2)))) = antidomain(multiplication(antidomain(X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_197]),c_0_82]) ).
fof(c_0_206,negated_conjecture,
~ ! [X4,X5] : addition(backward_diamond(X4,forward_box(X4,domain(X5))),domain(X5)) = domain(X5),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_207,plain,
! [X45,X46] : forward_box(X45,X46) = c(forward_diamond(X45,c(X46))),
inference(variable_rename,[status(thm)],[forward_box]) ).
cnf(c_0_208,plain,
c(X1) = antidomain(domain(X1)),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_209,plain,
domain(X1) = antidomain(antidomain(X1)),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_210,plain,
forward_diamond(X1,X2) = domain(multiplication(X1,domain(X2))),
inference(split_conjunct,[status(thm)],[c_0_200]) ).
fof(c_0_211,plain,
! [X43,X44] : backward_diamond(X43,X44) = codomain(multiplication(codomain(X44),X43)),
inference(variable_rename,[status(thm)],[backward_diamond]) ).
fof(c_0_212,plain,
! [X37] : codomain(X37) = coantidomain(coantidomain(X37)),
inference(variable_rename,[status(thm)],[codomain4]) ).
cnf(c_0_213,plain,
multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),X2) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_201]),c_0_201]),c_0_82]) ).
cnf(c_0_214,plain,
multiplication(antidomain(X1),antidomain(X2)) = multiplication(antidomain(X2),antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_52]),c_0_204]) ).
cnf(c_0_215,plain,
multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),antidomain(X1)) = antidomain(antidomain(multiplication(antidomain(X1),X2))),
inference(spm,[status(thm)],[c_0_121,c_0_196]) ).
cnf(c_0_216,plain,
multiplication(antidomain(multiplication(antidomain(X1),X2)),antidomain(X2)) = antidomain(X2),
inference(spm,[status(thm)],[c_0_170,c_0_205]) ).
cnf(c_0_217,plain,
multiplication(antidomain(X1),antidomain(X1)) = antidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_42]),c_0_60]) ).
fof(c_0_218,negated_conjecture,
addition(backward_diamond(esk1_0,forward_box(esk1_0,domain(esk2_0))),domain(esk2_0)) != domain(esk2_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_206])])]) ).
cnf(c_0_219,plain,
forward_box(X1,X2) = c(forward_diamond(X1,c(X2))),
inference(split_conjunct,[status(thm)],[c_0_207]) ).
cnf(c_0_220,plain,
c(X1) = antidomain(antidomain(antidomain(X1))),
inference(rw,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_221,plain,
forward_diamond(X1,X2) = antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_209]),c_0_209]) ).
cnf(c_0_222,plain,
backward_diamond(X1,X2) = codomain(multiplication(codomain(X2),X1)),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_223,plain,
codomain(X1) = coantidomain(coantidomain(X1)),
inference(split_conjunct,[status(thm)],[c_0_212]) ).
cnf(c_0_224,plain,
antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2)))) = multiplication(antidomain(X1),antidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_215]) ).
cnf(c_0_225,plain,
multiplication(antidomain(antidomain(X1)),multiplication(antidomain(X2),X1)) = multiplication(antidomain(X2),X1),
inference(spm,[status(thm)],[c_0_196,c_0_216]) ).
cnf(c_0_226,plain,
multiplication(antidomain(X1),multiplication(antidomain(X1),X2)) = multiplication(antidomain(X1),X2),
inference(spm,[status(thm)],[c_0_52,c_0_217]) ).
cnf(c_0_227,negated_conjecture,
addition(backward_diamond(esk1_0,forward_box(esk1_0,domain(esk2_0))),domain(esk2_0)) != domain(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_218]) ).
cnf(c_0_228,plain,
forward_box(X1,X2) = antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(antidomain(X2))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_220]),c_0_220]),c_0_221]) ).
cnf(c_0_229,plain,
backward_diamond(X1,X2) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X2)),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_223]),c_0_223]) ).
cnf(c_0_230,plain,
antidomain(multiplication(antidomain(X1),antidomain(antidomain(X2)))) = antidomain(multiplication(antidomain(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_224]),c_0_52]),c_0_225]),c_0_226]) ).
cnf(c_0_231,negated_conjecture,
addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk2_0))))))))))))))),esk1_0))),antidomain(antidomain(esk2_0))) != antidomain(antidomain(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_209]),c_0_209]),c_0_209]),c_0_228]),c_0_229]) ).
cnf(c_0_232,plain,
addition(X1,multiplication(addition(X1,X2),antidomain(X3))) = addition(X1,multiplication(X2,antidomain(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_64]),c_0_32]),c_0_32]) ).
cnf(c_0_233,plain,
multiplication(antidomain(X1),antidomain(antidomain(X2))) = antidomain(antidomain(multiplication(antidomain(X1),X2))),
inference(spm,[status(thm)],[c_0_224,c_0_230]) ).
cnf(c_0_234,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk2_0))))))))))))))),esk1_0)))) != antidomain(antidomain(esk2_0)),
inference(rw,[status(thm)],[c_0_231,c_0_31]) ).
cnf(c_0_235,plain,
addition(antidomain(X1),multiplication(antidomain(antidomain(X1)),antidomain(X2))) = addition(antidomain(X1),antidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_42]),c_0_60]) ).
cnf(c_0_236,plain,
multiplication(antidomain(antidomain(X1)),antidomain(X2)) = antidomain(antidomain(multiplication(antidomain(X2),X1))),
inference(spm,[status(thm)],[c_0_214,c_0_233]) ).
cnf(c_0_237,plain,
coantidomain(multiplication(antidomain(coantidomain(multiplication(antidomain(multiplication(X1,X2)),X1))),X2)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_33]),c_0_75]),c_0_76]),c_0_112]) ).
cnf(c_0_238,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),coantidomain(coantidomain(multiplication(antidomain(multiplication(esk1_0,antidomain(esk2_0))),esk1_0)))) != antidomain(antidomain(esk2_0)),
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)],[inference(spm,[status(thm)],[c_0_234,c_0_122]),c_0_82]),c_0_82]),c_0_82]),c_0_82]),c_0_82]),c_0_122]),c_0_82]) ).
cnf(c_0_239,plain,
addition(antidomain(X1),antidomain(antidomain(multiplication(antidomain(X2),X1)))) = addition(antidomain(X1),antidomain(X2)),
inference(rw,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_240,plain,
multiplication(antidomain(multiplication(coantidomain(X1),X2)),X2) = multiplication(antidomain(coantidomain(X1)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_112]),c_0_136]) ).
cnf(c_0_241,plain,
addition(antidomain(X1),antidomain(multiplication(coantidomain(X2),X1))) = antidomain(multiplication(coantidomain(X2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_130]),c_0_82]) ).
cnf(c_0_242,plain,
multiplication(antidomain(coantidomain(multiplication(antidomain(multiplication(X1,X2)),X1))),X2) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_237]),c_0_32]) ).
cnf(c_0_243,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),antidomain(coantidomain(multiplication(antidomain(multiplication(esk1_0,antidomain(esk2_0))),esk1_0)))) != antidomain(antidomain(esk2_0)),
inference(rw,[status(thm)],[c_0_238,c_0_112]) ).
cnf(c_0_244,plain,
addition(antidomain(X1),antidomain(coantidomain(X2))) = antidomain(multiplication(coantidomain(X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_239]),c_0_241]) ).
cnf(c_0_245,plain,
multiplication(coantidomain(multiplication(antidomain(multiplication(X1,X2)),X1)),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_242]),c_0_63]),c_0_60]) ).
cnf(c_0_246,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_244]),c_0_245])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : KLE111+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.11 % Command : run_E %s %d THM
% 0.09/0.31 % Computer : n009.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 2400
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Oct 3 04:39:44 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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.abuYAjqh5s/E---3.1_28041.p
% 244.21/31.42 # Version: 3.1pre001
% 244.21/31.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 244.21/31.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 244.21/31.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 244.21/31.42 # Starting new_bool_3 with 300s (1) cores
% 244.21/31.42 # Starting new_bool_1 with 300s (1) cores
% 244.21/31.42 # Starting sh5l with 300s (1) cores
% 244.21/31.42 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 28121 completed with status 0
% 244.21/31.42 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 244.21/31.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 244.21/31.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 244.21/31.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 244.21/31.42 # No SInE strategy applied
% 244.21/31.42 # Search class: FHUSM-FFSF21-DFFFFFNN
% 244.21/31.42 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 244.21/31.42 # Starting G-E--_041_C18_F1_PI_AE_Q4_CS_SP_S0Y with 541s (1) cores
% 244.21/31.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 244.21/31.42 # Starting new_bool_3 with 271s (1) cores
% 244.21/31.42 # Starting U----_206d_02_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 244.21/31.42 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 244.21/31.42 # SAT001_MinMin_p005000_rr_RG with pid 28132 completed with status 0
% 244.21/31.42 # Result found by SAT001_MinMin_p005000_rr_RG
% 244.21/31.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 244.21/31.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 244.21/31.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 244.21/31.42 # No SInE strategy applied
% 244.21/31.42 # Search class: FHUSM-FFSF21-DFFFFFNN
% 244.21/31.42 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 244.21/31.42 # Starting G-E--_041_C18_F1_PI_AE_Q4_CS_SP_S0Y with 541s (1) cores
% 244.21/31.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 244.21/31.42 # Starting new_bool_3 with 271s (1) cores
% 244.21/31.42 # Starting U----_206d_02_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 244.21/31.42 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 244.21/31.42 # Preprocessing time : 0.001 s
% 244.21/31.42 # Presaturation interreduction done
% 244.21/31.42
% 244.21/31.42 # Proof found!
% 244.21/31.42 # SZS status Theorem
% 244.21/31.42 # SZS output start CNFRefutation
% See solution above
% 244.21/31.42 # Parsed axioms : 27
% 244.21/31.42 # Removed by relevancy pruning/SinE : 0
% 244.21/31.42 # Initial clauses : 28
% 244.21/31.42 # Removed in clause preprocessing : 8
% 244.21/31.42 # Initial clauses in saturation : 20
% 244.21/31.42 # Processed clauses : 19071
% 244.21/31.42 # ...of these trivial : 12267
% 244.21/31.42 # ...subsumed : 4483
% 244.21/31.42 # ...remaining for further processing : 2321
% 244.21/31.42 # Other redundant clauses eliminated : 0
% 244.21/31.42 # Clauses deleted for lack of memory : 0
% 244.21/31.42 # Backward-subsumed : 8
% 244.21/31.42 # Backward-rewritten : 812
% 244.21/31.42 # Generated clauses : 2122442
% 244.21/31.42 # ...of the previous two non-redundant : 889650
% 244.21/31.42 # ...aggressively subsumed : 0
% 244.21/31.42 # Contextual simplify-reflections : 0
% 244.21/31.42 # Paramodulations : 2122442
% 244.21/31.42 # Factorizations : 0
% 244.21/31.42 # NegExts : 0
% 244.21/31.42 # Equation resolutions : 0
% 244.21/31.42 # Total rewrite steps : 4831984
% 244.21/31.42 # Propositional unsat checks : 0
% 244.21/31.42 # Propositional check models : 0
% 244.21/31.42 # Propositional check unsatisfiable : 0
% 244.21/31.42 # Propositional clauses : 0
% 244.21/31.42 # Propositional clauses after purity: 0
% 244.21/31.42 # Propositional unsat core size : 0
% 244.21/31.42 # Propositional preprocessing time : 0.000
% 244.21/31.42 # Propositional encoding time : 0.000
% 244.21/31.42 # Propositional solver time : 0.000
% 244.21/31.42 # Success case prop preproc time : 0.000
% 244.21/31.42 # Success case prop encoding time : 0.000
% 244.21/31.42 # Success case prop solver time : 0.000
% 244.21/31.42 # Current number of processed clauses : 1481
% 244.21/31.42 # Positive orientable unit clauses : 1456
% 244.21/31.42 # Positive unorientable unit clauses: 23
% 244.21/31.42 # Negative unit clauses : 0
% 244.21/31.42 # Non-unit-clauses : 2
% 244.21/31.42 # Current number of unprocessed clauses: 867095
% 244.21/31.42 # ...number of literals in the above : 867095
% 244.21/31.42 # Current number of archived formulas : 0
% 244.21/31.42 # Current number of archived clauses : 848
% 244.21/31.42 # Clause-clause subsumption calls (NU) : 0
% 244.21/31.42 # Rec. Clause-clause subsumption calls : 0
% 244.21/31.42 # Non-unit clause-clause subsumptions : 0
% 244.21/31.42 # Unit Clause-clause subsumption calls : 649
% 244.21/31.42 # Rewrite failures with RHS unbound : 0
% 244.21/31.42 # BW rewrite match attempts : 32058
% 244.21/31.42 # BW rewrite match successes : 1314
% 244.21/31.42 # Condensation attempts : 0
% 244.21/31.42 # Condensation successes : 0
% 244.21/31.42 # Termbank termtop insertions : 32521382
% 244.21/31.42
% 244.21/31.42 # -------------------------------------------------
% 244.21/31.42 # User time : 29.426 s
% 244.21/31.42 # System time : 0.931 s
% 244.21/31.42 # Total time : 30.357 s
% 244.21/31.42 # Maximum resident set size: 1784 pages
% 244.21/31.42
% 244.21/31.42 # -------------------------------------------------
% 244.21/31.42 # User time : 147.712 s
% 244.21/31.42 # System time : 3.639 s
% 244.21/31.42 # Total time : 151.352 s
% 244.21/31.42 # Maximum resident set size: 1732 pages
% 244.21/31.42 % E---3.1 exiting
% 244.21/31.42 % E---3.1 exiting
%------------------------------------------------------------------------------