TSTP Solution File: KLE102+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : KLE102+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 18:04:09 EDT 2023
% Result : Theorem 20.57s 3.06s
% Output : CNFRefutation 20.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 26
% Syntax : Number of formulae : 227 ( 224 unt; 0 def)
% Number of atoms : 230 ( 229 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 1 =>; 1 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-2 aty)
% Number of variables : 311 ( 29 sgn; 88 !; 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.8aam3p3Tcu/E---3.1_26346.p',left_distributivity) ).
fof(domain1,axiom,
! [X4] : multiplication(antidomain(X4),X4) = zero,
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',domain1) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',additive_identity) ).
fof(goals,conjecture,
! [X4,X5,X6] :
( multiplication(forward_diamond(X4,domain(X5)),domain(X6)) = zero
<= multiplication(domain(X5),backward_diamond(X4,domain(X6))) = zero ),
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',goals) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',additive_commutativity) ).
fof(domain3,axiom,
! [X4] : addition(antidomain(antidomain(X4)),antidomain(X4)) = one,
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',domain3) ).
fof(domain4,axiom,
! [X4] : domain(X4) = antidomain(antidomain(X4)),
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',domain4) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',additive_associativity) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',additive_idempotence) ).
fof(codomain3,axiom,
! [X4] : addition(coantidomain(coantidomain(X4)),coantidomain(X4)) = one,
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',codomain3) ).
fof(codomain4,axiom,
! [X4] : codomain(X4) = coantidomain(coantidomain(X4)),
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',codomain4) ).
fof(complement,axiom,
! [X4] : c(X4) = antidomain(domain(X4)),
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',complement) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',multiplicative_left_identity) ).
fof(forward_diamond,axiom,
! [X4,X5] : forward_diamond(X4,X5) = domain(multiplication(X4,domain(X5))),
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',forward_diamond) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',multiplicative_right_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.8aam3p3Tcu/E---3.1_26346.p',right_distributivity) ).
fof(domain_difference,axiom,
! [X4,X5] : domain_difference(X4,X5) = multiplication(domain(X4),antidomain(X5)),
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',domain_difference) ).
fof(codomain1,axiom,
! [X4] : multiplication(X4,coantidomain(X4)) = zero,
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.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.8aam3p3Tcu/E---3.1_26346.p',multiplicative_associativity) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',left_annihilation) ).
fof(backward_diamond,axiom,
! [X4,X5] : backward_diamond(X4,X5) = codomain(multiplication(codomain(X5),X4)),
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',backward_diamond) ).
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.8aam3p3Tcu/E---3.1_26346.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.8aam3p3Tcu/E---3.1_26346.p',codomain2) ).
fof(backward_box,axiom,
! [X4,X5] : backward_box(X4,X5) = c(backward_diamond(X4,c(X5))),
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',backward_box) ).
fof(right_annihilation,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',right_annihilation) ).
fof(forward_box,axiom,
! [X4,X5] : forward_box(X4,X5) = c(forward_diamond(X4,c(X5))),
file('/export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p',forward_box) ).
fof(c_0_26,plain,
! [X23,X24,X25] : multiplication(addition(X23,X24),X25) = addition(multiplication(X23,X25),multiplication(X24,X25)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
fof(c_0_27,plain,
! [X13] : multiplication(antidomain(X13),X13) = zero,
inference(variable_rename,[status(thm)],[domain1]) ).
fof(c_0_28,plain,
! [X10] : addition(X10,zero) = X10,
inference(variable_rename,[status(thm)],[additive_identity]) ).
fof(c_0_29,negated_conjecture,
~ ! [X4,X5,X6] :
( multiplication(domain(X5),backward_diamond(X4,domain(X6))) = zero
=> multiplication(forward_diamond(X4,domain(X5)),domain(X6)) = zero ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).
cnf(c_0_30,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
multiplication(antidomain(X1),X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_33,plain,
! [X42,X43] : addition(X42,X43) = addition(X43,X42),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_34,plain,
! [X48] : addition(antidomain(antidomain(X48)),antidomain(X48)) = one,
inference(variable_rename,[status(thm)],[domain3]) ).
fof(c_0_35,plain,
! [X36] : domain(X36) = antidomain(antidomain(X36)),
inference(variable_rename,[status(thm)],[domain4]) ).
fof(c_0_36,plain,
! [X44,X45,X46] : addition(X46,addition(X45,X44)) = addition(addition(X46,X45),X44),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_37,plain,
! [X47] : addition(X47,X47) = X47,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
fof(c_0_38,plain,
! [X49] : addition(coantidomain(coantidomain(X49)),coantidomain(X49)) = one,
inference(variable_rename,[status(thm)],[codomain3]) ).
fof(c_0_39,plain,
! [X50] : codomain(X50) = coantidomain(coantidomain(X50)),
inference(variable_rename,[status(thm)],[codomain4]) ).
fof(c_0_40,negated_conjecture,
( multiplication(domain(esk2_0),backward_diamond(esk1_0,domain(esk3_0))) = zero
& multiplication(forward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0)) != zero ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
fof(c_0_41,plain,
! [X37] : c(X37) = antidomain(domain(X37)),
inference(variable_rename,[status(thm)],[complement]) ).
cnf(c_0_42,plain,
multiplication(addition(X1,antidomain(X2)),X2) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_43,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,plain,
domain(X1) = antidomain(antidomain(X1)),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_46,plain,
! [X19] : multiplication(one,X19) = X19,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_47,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_48,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_49,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_50,plain,
codomain(X1) = coantidomain(coantidomain(X1)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_51,negated_conjecture,
multiplication(domain(esk2_0),backward_diamond(esk1_0,domain(esk3_0))) = zero,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_52,plain,
c(X1) = antidomain(domain(X1)),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_53,plain,
! [X30,X31] : forward_diamond(X30,X31) = domain(multiplication(X30,domain(X31))),
inference(variable_rename,[status(thm)],[forward_diamond]) ).
fof(c_0_54,plain,
! [X18] : multiplication(X18,one) = X18,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_55,plain,
! [X20,X21,X22] : multiplication(X20,addition(X21,X22)) = addition(multiplication(X20,X21),multiplication(X20,X22)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
fof(c_0_56,plain,
! [X38,X39] : domain_difference(X38,X39) = multiplication(domain(X38),antidomain(X39)),
inference(variable_rename,[status(thm)],[domain_difference]) ).
cnf(c_0_57,plain,
multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_58,plain,
addition(antidomain(X1),domain(X1)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45]),c_0_43]) ).
cnf(c_0_59,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_60,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_61,plain,
addition(coantidomain(X1),codomain(X1)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50]),c_0_43]) ).
fof(c_0_62,plain,
! [X14] : multiplication(X14,coantidomain(X14)) = zero,
inference(variable_rename,[status(thm)],[codomain1]) ).
fof(c_0_63,plain,
! [X15,X16,X17] : multiplication(X15,multiplication(X16,X17)) = multiplication(multiplication(X15,X16),X17),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
fof(c_0_64,plain,
! [X12] : multiplication(zero,X12) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
cnf(c_0_65,negated_conjecture,
multiplication(addition(X1,domain(esk2_0)),backward_diamond(esk1_0,domain(esk3_0))) = multiplication(X1,backward_diamond(esk1_0,domain(esk3_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_51]),c_0_32]) ).
cnf(c_0_66,plain,
domain(antidomain(X1)) = c(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_45]),c_0_52]) ).
cnf(c_0_67,plain,
forward_diamond(X1,X2) = domain(multiplication(X1,domain(X2))),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_68,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_69,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_70,plain,
domain_difference(X1,X2) = multiplication(domain(X1),antidomain(X2)),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_71,plain,
multiplication(domain(X1),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
cnf(c_0_72,plain,
addition(one,coantidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_43]) ).
fof(c_0_73,plain,
! [X32,X33] : backward_diamond(X32,X33) = codomain(multiplication(codomain(X33),X32)),
inference(variable_rename,[status(thm)],[backward_diamond]) ).
cnf(c_0_74,plain,
multiplication(X1,coantidomain(X1)) = zero,
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_75,plain,
! [X26,X27] : addition(antidomain(multiplication(X26,X27)),antidomain(multiplication(X26,antidomain(antidomain(X27))))) = antidomain(multiplication(X26,antidomain(antidomain(X27)))),
inference(variable_rename,[status(thm)],[domain2]) ).
cnf(c_0_76,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_77,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_78,negated_conjecture,
multiplication(addition(domain(esk2_0),X1),backward_diamond(esk1_0,domain(esk3_0))) = multiplication(X1,backward_diamond(esk1_0,domain(esk3_0))),
inference(spm,[status(thm)],[c_0_65,c_0_43]) ).
cnf(c_0_79,plain,
addition(domain(X1),c(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_66]),c_0_45]) ).
cnf(c_0_80,plain,
domain(domain(X1)) = forward_diamond(one,X1),
inference(spm,[status(thm)],[c_0_67,c_0_59]) ).
cnf(c_0_81,plain,
antidomain(one) = zero,
inference(spm,[status(thm)],[c_0_68,c_0_31]) ).
cnf(c_0_82,plain,
multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_31]),c_0_32]) ).
cnf(c_0_83,plain,
multiplication(c(X1),antidomain(X2)) = domain_difference(antidomain(X1),X2),
inference(spm,[status(thm)],[c_0_70,c_0_66]) ).
cnf(c_0_84,plain,
domain_difference(antidomain(X1),X1) = antidomain(X1),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_85,negated_conjecture,
multiplication(antidomain(esk2_0),backward_diamond(esk1_0,domain(esk3_0))) = backward_diamond(esk1_0,domain(esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_58]),c_0_59]) ).
cnf(c_0_86,plain,
addition(one,codomain(X1)) = one,
inference(spm,[status(thm)],[c_0_72,c_0_50]) ).
cnf(c_0_87,plain,
backward_diamond(X1,X2) = codomain(multiplication(codomain(X2),X1)),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_88,plain,
multiplication(X1,addition(X2,coantidomain(X1))) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_74]),c_0_32]) ).
cnf(c_0_89,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_75]) ).
cnf(c_0_90,plain,
multiplication(antidomain(X1),multiplication(X1,X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_31]),c_0_77]) ).
cnf(c_0_91,negated_conjecture,
multiplication(c(esk2_0),backward_diamond(esk1_0,domain(esk3_0))) = backward_diamond(esk1_0,domain(esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_59]) ).
cnf(c_0_92,plain,
antidomain(c(X1)) = forward_diamond(one,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_52]),c_0_80]) ).
cnf(c_0_93,plain,
domain(one) = antidomain(zero),
inference(spm,[status(thm)],[c_0_45,c_0_81]) ).
cnf(c_0_94,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_32,c_0_43]) ).
cnf(c_0_95,plain,
c(X1) = 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_82,c_0_58]),c_0_52]),c_0_68]),c_0_52]),c_0_83]),c_0_84]) ).
cnf(c_0_96,plain,
c(multiplication(X1,domain(X2))) = antidomain(forward_diamond(X1,X2)),
inference(spm,[status(thm)],[c_0_52,c_0_67]) ).
cnf(c_0_97,negated_conjecture,
addition(multiplication(antidomain(esk2_0),X1),backward_diamond(esk1_0,domain(esk3_0))) = multiplication(antidomain(esk2_0),addition(X1,backward_diamond(esk1_0,domain(esk3_0)))),
inference(spm,[status(thm)],[c_0_69,c_0_85]) ).
cnf(c_0_98,plain,
addition(one,backward_diamond(X1,X2)) = one,
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_99,plain,
multiplication(X1,addition(coantidomain(X1),X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_88,c_0_43]) ).
cnf(c_0_100,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,domain(X2)))) = antidomain(multiplication(X1,domain(X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_45]),c_0_45]) ).
cnf(c_0_101,negated_conjecture,
multiplication(forward_diamond(one,esk2_0),backward_diamond(esk1_0,domain(esk3_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).
cnf(c_0_102,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_93]),c_0_81]),c_0_94]) ).
cnf(c_0_103,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_58]),c_0_43]) ).
cnf(c_0_104,plain,
multiplication(antidomain(X1),antidomain(X2)) = domain_difference(antidomain(X1),X2),
inference(rw,[status(thm)],[c_0_83,c_0_95]) ).
cnf(c_0_105,plain,
multiplication(antidomain(addition(X1,X2)),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_60]),c_0_31]) ).
cnf(c_0_106,plain,
antidomain(multiplication(X1,domain(X2))) = antidomain(forward_diamond(X1,X2)),
inference(rw,[status(thm)],[c_0_96,c_0_95]) ).
cnf(c_0_107,plain,
forward_diamond(X1,multiplication(X2,domain(X3))) = domain(multiplication(X1,forward_diamond(X2,X3))),
inference(spm,[status(thm)],[c_0_67,c_0_67]) ).
cnf(c_0_108,plain,
forward_diamond(one,X1) = domain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_95]),c_0_45]) ).
cnf(c_0_109,negated_conjecture,
addition(antidomain(esk2_0),backward_diamond(esk1_0,domain(esk3_0))) = antidomain(esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_68]),c_0_98]),c_0_68]) ).
cnf(c_0_110,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_59]),c_0_43]) ).
cnf(c_0_111,plain,
multiplication(X1,codomain(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_61]),c_0_68]) ).
fof(c_0_112,plain,
! [X28,X29] : addition(coantidomain(multiplication(X28,X29)),coantidomain(multiplication(coantidomain(coantidomain(X28)),X29))) = coantidomain(multiplication(coantidomain(coantidomain(X28)),X29)),
inference(variable_rename,[status(thm)],[codomain2]) ).
cnf(c_0_113,plain,
coantidomain(one) = zero,
inference(spm,[status(thm)],[c_0_59,c_0_74]) ).
cnf(c_0_114,negated_conjecture,
antidomain(multiplication(forward_diamond(one,esk2_0),domain(backward_diamond(esk1_0,domain(esk3_0))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_103]) ).
cnf(c_0_115,plain,
domain_difference(antidomain(addition(antidomain(X1),X2)),X1) = zero,
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_116,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(forward_diamond(X1,X2))) = antidomain(forward_diamond(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_106]),c_0_106]) ).
cnf(c_0_117,plain,
domain(forward_diamond(X1,X2)) = forward_diamond(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_67]),c_0_59]) ).
cnf(c_0_118,negated_conjecture,
multiplication(backward_diamond(esk1_0,domain(esk3_0)),esk2_0) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_109]),c_0_31]) ).
cnf(c_0_119,plain,
multiplication(addition(X1,one),codomain(X1)) = addition(X1,codomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_43]) ).
cnf(c_0_120,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_112]) ).
cnf(c_0_121,plain,
codomain(one) = coantidomain(zero),
inference(spm,[status(thm)],[c_0_50,c_0_113]) ).
cnf(c_0_122,negated_conjecture,
multiplication(forward_diamond(one,esk2_0),domain(backward_diamond(esk1_0,domain(esk3_0)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_114]),c_0_59]) ).
cnf(c_0_123,plain,
multiplication(domain(X1),domain(X2)) = domain_difference(X1,antidomain(X2)),
inference(spm,[status(thm)],[c_0_70,c_0_45]) ).
fof(c_0_124,plain,
! [X34,X35] : backward_box(X34,X35) = c(backward_diamond(X34,c(X35))),
inference(variable_rename,[status(thm)],[backward_box]) ).
cnf(c_0_125,plain,
domain_difference(forward_diamond(X1,X2),multiplication(X1,X2)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_45]),c_0_117]) ).
cnf(c_0_126,negated_conjecture,
multiplication(backward_diamond(esk1_0,domain(esk3_0)),multiplication(esk2_0,X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_118]),c_0_77]) ).
cnf(c_0_127,plain,
domain_difference(X1,zero) = domain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_102]),c_0_68]) ).
cnf(c_0_128,plain,
codomain(coantidomain(X1)) = coantidomain(codomain(X1)),
inference(spm,[status(thm)],[c_0_50,c_0_50]) ).
cnf(c_0_129,plain,
multiplication(addition(one,X1),codomain(X1)) = addition(X1,codomain(X1)),
inference(spm,[status(thm)],[c_0_119,c_0_43]) ).
cnf(c_0_130,plain,
addition(one,domain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_79]),c_0_43]) ).
cnf(c_0_131,plain,
addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(codomain(X1),X2))) = coantidomain(multiplication(codomain(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_50]),c_0_50]) ).
cnf(c_0_132,plain,
multiplication(c(X1),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_71]),c_0_52]) ).
cnf(c_0_133,plain,
coantidomain(zero) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_121]),c_0_113]),c_0_94]) ).
cnf(c_0_134,plain,
addition(multiplication(domain(X1),X2),domain_difference(X1,X3)) = multiplication(domain(X1),addition(X2,antidomain(X3))),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_135,negated_conjecture,
domain_difference(esk2_0,antidomain(backward_diamond(esk1_0,domain(esk3_0)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_108]),c_0_123]) ).
cnf(c_0_136,plain,
backward_box(X1,X2) = c(backward_diamond(X1,c(X2))),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_137,negated_conjecture,
forward_diamond(backward_diamond(esk1_0,domain(esk3_0)),multiplication(esk2_0,X1)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]),c_0_117]) ).
cnf(c_0_138,plain,
multiplication(addition(X1,X2),coantidomain(X2)) = multiplication(X1,coantidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_74]),c_0_32]) ).
cnf(c_0_139,plain,
multiplication(coantidomain(X1),coantidomain(codomain(X1))) = coantidomain(X1),
inference(spm,[status(thm)],[c_0_111,c_0_128]) ).
cnf(c_0_140,plain,
addition(antidomain(X1),addition(domain(X1),X2)) = addition(one,X2),
inference(spm,[status(thm)],[c_0_47,c_0_58]) ).
cnf(c_0_141,plain,
addition(domain(X1),codomain(domain(X1))) = codomain(domain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_59]) ).
cnf(c_0_142,plain,
coantidomain(multiplication(codomain(c(X1)),X1)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133]),c_0_72]) ).
cnf(c_0_143,plain,
addition(multiplication(X1,antidomain(X2)),domain_difference(X3,X2)) = multiplication(addition(X1,domain(X3)),antidomain(X2)),
inference(spm,[status(thm)],[c_0_30,c_0_70]) ).
cnf(c_0_144,negated_conjecture,
multiplication(domain(esk2_0),addition(X1,domain(backward_diamond(esk1_0,domain(esk3_0))))) = multiplication(domain(esk2_0),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_32]),c_0_45]) ).
cnf(c_0_145,plain,
antidomain(backward_diamond(X1,antidomain(X2))) = backward_box(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_95]),c_0_95]) ).
cnf(c_0_146,negated_conjecture,
domain(multiplication(backward_diamond(esk1_0,domain(esk3_0)),forward_diamond(esk2_0,X1))) = zero,
inference(spm,[status(thm)],[c_0_107,c_0_137]) ).
cnf(c_0_147,plain,
domain(one) = one,
inference(rw,[status(thm)],[c_0_93,c_0_102]) ).
cnf(c_0_148,plain,
coantidomain(codomain(X1)) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_61]),c_0_59]),c_0_139]) ).
cnf(c_0_149,plain,
multiplication(coantidomain(X1),codomain(X1)) = zero,
inference(spm,[status(thm)],[c_0_74,c_0_50]) ).
cnf(c_0_150,plain,
addition(antidomain(X1),codomain(domain(X1))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_86]) ).
cnf(c_0_151,plain,
domain(antidomain(X1)) = antidomain(X1),
inference(rw,[status(thm)],[c_0_66,c_0_95]) ).
cnf(c_0_152,plain,
multiplication(codomain(c(X1)),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_142]),c_0_68]) ).
cnf(c_0_153,plain,
addition(antidomain(X1),domain_difference(X2,X1)) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_59]),c_0_130]),c_0_59]) ).
cnf(c_0_154,negated_conjecture,
domain_difference(esk2_0,backward_diamond(esk1_0,domain(esk3_0))) = domain(esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_58]),c_0_68]),c_0_70]) ).
cnf(c_0_155,plain,
antidomain(backward_diamond(X1,domain(X2))) = backward_box(X1,antidomain(X2)),
inference(spm,[status(thm)],[c_0_145,c_0_45]) ).
cnf(c_0_156,plain,
addition(one,c(X1)) = one,
inference(spm,[status(thm)],[c_0_130,c_0_66]) ).
cnf(c_0_157,negated_conjecture,
multiplication(backward_diamond(esk1_0,domain(esk3_0)),forward_diamond(esk2_0,X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_146]),c_0_77]) ).
cnf(c_0_158,plain,
forward_diamond(X1,one) = domain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_147]),c_0_68]) ).
fof(c_0_159,plain,
! [X11] : multiplication(X11,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
cnf(c_0_160,plain,
codomain(coantidomain(X1)) = coantidomain(X1),
inference(rw,[status(thm)],[c_0_128,c_0_148]) ).
cnf(c_0_161,plain,
multiplication(coantidomain(X1),addition(X2,codomain(X1))) = multiplication(coantidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_149]),c_0_32]) ).
cnf(c_0_162,plain,
addition(domain(X1),codomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_45]) ).
cnf(c_0_163,plain,
multiplication(addition(X1,codomain(antidomain(X2))),X2) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_152]),c_0_32]),c_0_95]) ).
cnf(c_0_164,plain,
multiplication(codomain(domain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_150]),c_0_59]) ).
fof(c_0_165,plain,
! [X40,X41] : forward_box(X40,X41) = c(forward_diamond(X40,c(X41))),
inference(variable_rename,[status(thm)],[forward_box]) ).
cnf(c_0_166,plain,
domain(zero) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_102]),c_0_81]) ).
cnf(c_0_167,plain,
c(domain(X1)) = domain(c(X1)),
inference(spm,[status(thm)],[c_0_66,c_0_52]) ).
cnf(c_0_168,negated_conjecture,
addition(domain(esk2_0),backward_box(esk1_0,antidomain(esk3_0))) = backward_box(esk1_0,antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]),c_0_155]),c_0_43]) ).
cnf(c_0_169,plain,
addition(one,backward_box(X1,X2)) = one,
inference(spm,[status(thm)],[c_0_156,c_0_136]) ).
cnf(c_0_170,plain,
domain(multiplication(X1,multiplication(X2,domain(X3)))) = forward_diamond(multiplication(X1,X2),X3),
inference(spm,[status(thm)],[c_0_67,c_0_76]) ).
cnf(c_0_171,negated_conjecture,
multiplication(backward_diamond(esk1_0,domain(esk3_0)),domain(esk2_0)) = zero,
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_172,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[c_0_159]) ).
cnf(c_0_173,plain,
codomain(multiplication(coantidomain(X1),X2)) = backward_diamond(X2,coantidomain(X1)),
inference(spm,[status(thm)],[c_0_87,c_0_160]) ).
cnf(c_0_174,plain,
multiplication(coantidomain(antidomain(X1)),domain(X1)) = coantidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_68]) ).
cnf(c_0_175,plain,
multiplication(coantidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_61]),c_0_59]) ).
cnf(c_0_176,plain,
antidomain(domain(X1)) = antidomain(X1),
inference(rw,[status(thm)],[c_0_52,c_0_95]) ).
cnf(c_0_177,plain,
backward_diamond(X1,domain(X1)) = codomain(X1),
inference(spm,[status(thm)],[c_0_87,c_0_164]) ).
cnf(c_0_178,plain,
domain(domain(X1)) = domain(X1),
inference(rw,[status(thm)],[c_0_80,c_0_108]) ).
cnf(c_0_179,plain,
forward_box(X1,X2) = c(forward_diamond(X1,c(X2))),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_180,plain,
c(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_166]),c_0_102]) ).
cnf(c_0_181,plain,
domain(c(X1)) = antidomain(forward_diamond(one,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_80]),c_0_167]) ).
cnf(c_0_182,plain,
multiplication(antidomain(X1),addition(X1,X2)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_31]),c_0_94]) ).
cnf(c_0_183,negated_conjecture,
addition(antidomain(esk2_0),backward_box(esk1_0,antidomain(esk3_0))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_168]),c_0_169]) ).
cnf(c_0_184,negated_conjecture,
forward_diamond(multiplication(X1,backward_diamond(esk1_0,domain(esk3_0))),esk2_0) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]),c_0_166]) ).
cnf(c_0_185,plain,
backward_diamond(domain(X1),coantidomain(antidomain(X1))) = coantidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_160]) ).
cnf(c_0_186,plain,
coantidomain(antidomain(X1)) = domain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_174]) ).
cnf(c_0_187,plain,
backward_diamond(domain(X1),domain(X1)) = codomain(domain(X1)),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_188,plain,
antidomain(forward_diamond(one,X1)) = forward_box(X1,zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_158]),c_0_167]),c_0_181]) ).
cnf(c_0_189,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,multiplication(X2,X3))) = zero,
inference(spm,[status(thm)],[c_0_90,c_0_76]) ).
cnf(c_0_190,negated_conjecture,
multiplication(domain(esk2_0),backward_box(esk1_0,antidomain(esk3_0))) = domain(esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_45]),c_0_68]),c_0_45]) ).
cnf(c_0_191,negated_conjecture,
forward_diamond(multiplication(X1,multiplication(X2,backward_diamond(esk1_0,domain(esk3_0)))),esk2_0) = zero,
inference(spm,[status(thm)],[c_0_184,c_0_76]) ).
cnf(c_0_192,plain,
multiplication(codomain(X1),multiplication(X2,backward_diamond(X2,X1))) = multiplication(codomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_87]),c_0_76]) ).
cnf(c_0_193,plain,
codomain(domain(X1)) = domain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_186]),c_0_187]),c_0_186]) ).
cnf(c_0_194,plain,
domain(c(X1)) = forward_box(X1,zero),
inference(rw,[status(thm)],[c_0_181,c_0_188]) ).
cnf(c_0_195,negated_conjecture,
multiplication(antidomain(forward_diamond(X1,esk2_0)),multiplication(X1,domain(esk2_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_106]) ).
cnf(c_0_196,negated_conjecture,
forward_diamond(multiplication(domain(esk3_0),esk1_0),esk2_0) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]) ).
cnf(c_0_197,plain,
antidomain(forward_diamond(X1,antidomain(X2))) = forward_box(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_95]),c_0_95]) ).
cnf(c_0_198,plain,
forward_diamond(one,antidomain(X1)) = forward_box(X1,zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_66]),c_0_181]),c_0_188]) ).
cnf(c_0_199,plain,
forward_box(X1,zero) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_95]),c_0_66]),c_0_95]) ).
cnf(c_0_200,negated_conjecture,
multiplication(domain(esk3_0),multiplication(esk1_0,domain(esk2_0))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_102]),c_0_76]),c_0_59]) ).
cnf(c_0_201,plain,
domain(multiplication(X1,c(X2))) = forward_diamond(X1,antidomain(X2)),
inference(spm,[status(thm)],[c_0_67,c_0_66]) ).
cnf(c_0_202,plain,
forward_diamond(X1,antidomain(X2)) = antidomain(forward_box(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_197]),c_0_117]) ).
cnf(c_0_203,plain,
forward_diamond(one,antidomain(X1)) = antidomain(X1),
inference(rw,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_204,plain,
forward_diamond(X1,multiplication(X2,multiplication(X3,domain(X4)))) = domain(multiplication(X1,forward_diamond(multiplication(X2,X3),X4))),
inference(spm,[status(thm)],[c_0_107,c_0_76]) ).
cnf(c_0_205,plain,
domain(multiplication(X1,forward_diamond(X2,X3))) = forward_diamond(X1,forward_diamond(X2,X3)),
inference(spm,[status(thm)],[c_0_67,c_0_117]) ).
cnf(c_0_206,negated_conjecture,
multiplication(domain(esk3_0),multiplication(esk1_0,multiplication(domain(esk2_0),X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_200]),c_0_77]),c_0_76]) ).
cnf(c_0_207,plain,
domain(multiplication(X1,antidomain(X2))) = antidomain(forward_box(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_95]),c_0_202]) ).
cnf(c_0_208,plain,
domain(forward_box(X1,X2)) = forward_box(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_197]),c_0_108]) ).
cnf(c_0_209,plain,
forward_diamond(X1,multiplication(X2,multiplication(X3,domain(X4)))) = forward_diamond(X1,forward_diamond(multiplication(X2,X3),X4)),
inference(rw,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_210,negated_conjecture,
forward_diamond(domain(esk3_0),multiplication(esk1_0,multiplication(domain(esk2_0),X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_206]),c_0_127]),c_0_117]) ).
cnf(c_0_211,plain,
antidomain(multiplication(X1,antidomain(X2))) = forward_box(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_207]),c_0_45]),c_0_208]) ).
cnf(c_0_212,negated_conjecture,
forward_diamond(domain(esk3_0),forward_diamond(multiplication(esk1_0,domain(esk2_0)),X1)) = zero,
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_213,plain,
forward_box(domain(X1),X2) = antidomain(domain_difference(X1,X2)),
inference(spm,[status(thm)],[c_0_211,c_0_70]) ).
cnf(c_0_214,negated_conjecture,
domain(domain_difference(esk3_0,forward_box(multiplication(esk1_0,domain(esk2_0)),X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_202]),c_0_202]),c_0_213]),c_0_45]) ).
cnf(c_0_215,negated_conjecture,
domain_difference(esk3_0,forward_box(multiplication(esk1_0,domain(esk2_0)),X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_214]),c_0_77]) ).
cnf(c_0_216,plain,
domain_difference(X1,antidomain(forward_diamond(X2,X3))) = multiplication(domain(X1),forward_diamond(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_67]),c_0_106]) ).
cnf(c_0_217,negated_conjecture,
multiplication(domain(esk3_0),forward_diamond(esk1_0,esk2_0)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_199]),c_0_106]),c_0_216]) ).
cnf(c_0_218,plain,
domain_difference(X1,X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_45]),c_0_70]) ).
cnf(c_0_219,negated_conjecture,
multiplication(domain(esk3_0),addition(forward_diamond(esk1_0,esk2_0),X1)) = multiplication(domain(esk3_0),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_217]),c_0_94]) ).
cnf(c_0_220,plain,
addition(forward_diamond(X1,X2),antidomain(forward_diamond(X1,X2))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_67]),c_0_106]),c_0_43]) ).
cnf(c_0_221,negated_conjecture,
multiplication(forward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0)) != zero,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_222,plain,
forward_diamond(X1,domain(X2)) = forward_diamond(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_178]),c_0_67]) ).
cnf(c_0_223,plain,
multiplication(domain(X1),domain_difference(X2,X1)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_153]),c_0_45]),c_0_70]),c_0_218]),c_0_45]) ).
cnf(c_0_224,negated_conjecture,
domain_difference(esk3_0,forward_diamond(esk1_0,esk2_0)) = domain(esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_68]),c_0_70]) ).
cnf(c_0_225,negated_conjecture,
multiplication(forward_diamond(esk1_0,esk2_0),domain(esk3_0)) != zero,
inference(rw,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_226,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_117]),c_0_225]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : KLE102+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Oct 3 04:42:54 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 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 --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.8aam3p3Tcu/E---3.1_26346.p
% 20.57/3.06 # Version: 3.1pre001
% 20.57/3.06 # Preprocessing class: FSMSSMSSSSSNFFN.
% 20.57/3.06 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.57/3.06 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 20.57/3.06 # Starting new_bool_3 with 300s (1) cores
% 20.57/3.06 # Starting new_bool_1 with 300s (1) cores
% 20.57/3.06 # Starting sh5l with 300s (1) cores
% 20.57/3.06 # sh5l with pid 26427 completed with status 0
% 20.57/3.06 # Result found by sh5l
% 20.57/3.06 # Preprocessing class: FSMSSMSSSSSNFFN.
% 20.57/3.06 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.57/3.06 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 20.57/3.06 # Starting new_bool_3 with 300s (1) cores
% 20.57/3.06 # Starting new_bool_1 with 300s (1) cores
% 20.57/3.06 # Starting sh5l with 300s (1) cores
% 20.57/3.06 # SinE strategy is gf500_gu_R04_F100_L20000
% 20.57/3.06 # Search class: FUUPM-FFMF21-MFFFFFNN
% 20.57/3.06 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 20.57/3.06 # Starting U----_211g_10_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 20.57/3.06 # U----_211g_10_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 26432 completed with status 0
% 20.57/3.06 # Result found by U----_211g_10_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 20.57/3.06 # Preprocessing class: FSMSSMSSSSSNFFN.
% 20.57/3.06 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.57/3.06 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 20.57/3.06 # Starting new_bool_3 with 300s (1) cores
% 20.57/3.06 # Starting new_bool_1 with 300s (1) cores
% 20.57/3.06 # Starting sh5l with 300s (1) cores
% 20.57/3.06 # SinE strategy is gf500_gu_R04_F100_L20000
% 20.57/3.06 # Search class: FUUPM-FFMF21-MFFFFFNN
% 20.57/3.06 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 20.57/3.06 # Starting U----_211g_10_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 20.57/3.06 # Preprocessing time : 0.001 s
% 20.57/3.06 # Presaturation interreduction done
% 20.57/3.06
% 20.57/3.06 # Proof found!
% 20.57/3.06 # SZS status Theorem
% 20.57/3.06 # SZS output start CNFRefutation
% See solution above
% 20.57/3.06 # Parsed axioms : 27
% 20.57/3.06 # Removed by relevancy pruning/SinE : 1
% 20.57/3.06 # Initial clauses : 27
% 20.57/3.06 # Removed in clause preprocessing : 0
% 20.57/3.06 # Initial clauses in saturation : 27
% 20.57/3.06 # Processed clauses : 7299
% 20.57/3.06 # ...of these trivial : 3373
% 20.57/3.06 # ...subsumed : 547
% 20.57/3.06 # ...remaining for further processing : 3379
% 20.57/3.06 # Other redundant clauses eliminated : 0
% 20.57/3.06 # Clauses deleted for lack of memory : 0
% 20.57/3.06 # Backward-subsumed : 0
% 20.57/3.06 # Backward-rewritten : 1207
% 20.57/3.06 # Generated clauses : 354469
% 20.57/3.06 # ...of the previous two non-redundant : 90993
% 20.57/3.06 # ...aggressively subsumed : 0
% 20.57/3.06 # Contextual simplify-reflections : 0
% 20.57/3.06 # Paramodulations : 354469
% 20.57/3.06 # Factorizations : 0
% 20.57/3.06 # NegExts : 0
% 20.57/3.06 # Equation resolutions : 0
% 20.57/3.06 # Total rewrite steps : 635731
% 20.57/3.06 # Propositional unsat checks : 0
% 20.57/3.06 # Propositional check models : 0
% 20.57/3.06 # Propositional check unsatisfiable : 0
% 20.57/3.06 # Propositional clauses : 0
% 20.57/3.06 # Propositional clauses after purity: 0
% 20.57/3.06 # Propositional unsat core size : 0
% 20.57/3.06 # Propositional preprocessing time : 0.000
% 20.57/3.06 # Propositional encoding time : 0.000
% 20.57/3.06 # Propositional solver time : 0.000
% 20.57/3.06 # Success case prop preproc time : 0.000
% 20.57/3.06 # Success case prop encoding time : 0.000
% 20.57/3.06 # Success case prop solver time : 0.000
% 20.57/3.06 # Current number of processed clauses : 2145
% 20.57/3.06 # Positive orientable unit clauses : 2135
% 20.57/3.06 # Positive unorientable unit clauses: 9
% 20.57/3.06 # Negative unit clauses : 1
% 20.57/3.06 # Non-unit-clauses : 0
% 20.57/3.06 # Current number of unprocessed clauses: 79844
% 20.57/3.06 # ...number of literals in the above : 79844
% 20.57/3.06 # Current number of archived formulas : 0
% 20.57/3.06 # Current number of archived clauses : 1234
% 20.57/3.06 # Clause-clause subsumption calls (NU) : 0
% 20.57/3.06 # Rec. Clause-clause subsumption calls : 0
% 20.57/3.06 # Non-unit clause-clause subsumptions : 0
% 20.57/3.06 # Unit Clause-clause subsumption calls : 103
% 20.57/3.06 # Rewrite failures with RHS unbound : 0
% 20.57/3.06 # BW rewrite match attempts : 3094
% 20.57/3.06 # BW rewrite match successes : 822
% 20.57/3.06 # Condensation attempts : 0
% 20.57/3.06 # Condensation successes : 0
% 20.57/3.06 # Termbank termtop insertions : 3696502
% 20.57/3.06
% 20.57/3.06 # -------------------------------------------------
% 20.57/3.06 # User time : 2.443 s
% 20.57/3.06 # System time : 0.087 s
% 20.57/3.06 # Total time : 2.530 s
% 20.57/3.06 # Maximum resident set size: 1772 pages
% 20.57/3.06
% 20.57/3.06 # -------------------------------------------------
% 20.57/3.06 # User time : 2.444 s
% 20.57/3.06 # System time : 0.089 s
% 20.57/3.06 # Total time : 2.533 s
% 20.57/3.06 # Maximum resident set size: 1732 pages
% 20.57/3.06 % E---3.1 exiting
% 20.57/3.06 % E---3.1 exiting
%------------------------------------------------------------------------------