TSTP Solution File: KLE087+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : KLE087+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 18:04:54 EDT 2023
% Result : Theorem 55.20s 7.52s
% Output : CNFRefutation 55.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 16
% Syntax : Number of formulae : 149 ( 149 unt; 0 def)
% Number of atoms : 149 ( 148 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 269 ( 28 sgn; 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox/tmp/tmp.HSry1TPkUM/E---3.1_24549.p',multiplicative_right_identity) ).
fof(domain1,axiom,
! [X4] : multiplication(antidomain(X4),X4) = zero,
file('/export/starexec/sandbox/tmp/tmp.HSry1TPkUM/E---3.1_24549.p',domain1) ).
fof(domain3,axiom,
! [X4] : addition(antidomain(antidomain(X4)),antidomain(X4)) = one,
file('/export/starexec/sandbox/tmp/tmp.HSry1TPkUM/E---3.1_24549.p',domain3) ).
fof(domain4,axiom,
! [X4] : domain(X4) = antidomain(antidomain(X4)),
file('/export/starexec/sandbox/tmp/tmp.HSry1TPkUM/E---3.1_24549.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.HSry1TPkUM/E---3.1_24549.p',additive_associativity) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.HSry1TPkUM/E---3.1_24549.p',additive_idempotence) ).
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.HSry1TPkUM/E---3.1_24549.p',left_distributivity) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox/tmp/tmp.HSry1TPkUM/E---3.1_24549.p',additive_identity) ).
fof(right_distributivity,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox/tmp/tmp.HSry1TPkUM/E---3.1_24549.p',right_distributivity) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.HSry1TPkUM/E---3.1_24549.p',additive_commutativity) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.HSry1TPkUM/E---3.1_24549.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.HSry1TPkUM/E---3.1_24549.p',domain2) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.HSry1TPkUM/E---3.1_24549.p',multiplicative_associativity) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox/tmp/tmp.HSry1TPkUM/E---3.1_24549.p',left_annihilation) ).
fof(right_annihilation,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/export/starexec/sandbox/tmp/tmp.HSry1TPkUM/E---3.1_24549.p',right_annihilation) ).
fof(goals,conjecture,
! [X4,X5] : domain(addition(X4,X5)) = addition(domain(X4),domain(X5)),
file('/export/starexec/sandbox/tmp/tmp.HSry1TPkUM/E---3.1_24549.p',goals) ).
fof(c_0_16,plain,
! [X32] : multiplication(X32,one) = X32,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_17,plain,
! [X24] : multiplication(antidomain(X24),X24) = zero,
inference(variable_rename,[status(thm)],[domain1]) ).
fof(c_0_18,plain,
! [X27] : addition(antidomain(antidomain(X27)),antidomain(X27)) = one,
inference(variable_rename,[status(thm)],[domain3]) ).
fof(c_0_19,plain,
! [X20] : domain(X20) = antidomain(antidomain(X20)),
inference(variable_rename,[status(thm)],[domain4]) ).
fof(c_0_20,plain,
! [X10,X11,X12] : addition(X12,addition(X11,X10)) = addition(addition(X12,X11),X10),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_21,plain,
! [X13] : addition(X13,X13) = X13,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
fof(c_0_22,plain,
! [X17,X18,X19] : multiplication(addition(X17,X18),X19) = addition(multiplication(X17,X19),multiplication(X18,X19)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
fof(c_0_23,plain,
! [X28] : addition(X28,zero) = X28,
inference(variable_rename,[status(thm)],[additive_identity]) ).
fof(c_0_24,plain,
! [X14,X15,X16] : multiplication(X14,addition(X15,X16)) = addition(multiplication(X14,X15),multiplication(X14,X16)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
cnf(c_0_25,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,plain,
multiplication(antidomain(X1),X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,plain,
domain(X1) = antidomain(antidomain(X1)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_31,plain,
! [X8,X9] : addition(X8,X9) = addition(X9,X8),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
cnf(c_0_32,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_34,plain,
! [X33] : multiplication(one,X33) = X33,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
fof(c_0_35,plain,
! [X25,X26] : addition(antidomain(multiplication(X25,X26)),antidomain(multiplication(X25,antidomain(antidomain(X26))))) = antidomain(multiplication(X25,antidomain(antidomain(X26)))),
inference(variable_rename,[status(thm)],[domain2]) ).
cnf(c_0_36,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_37,plain,
antidomain(one) = zero,
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_38,plain,
addition(domain(X1),antidomain(X1)) = one,
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_39,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_40,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_41,plain,
! [X21,X22,X23] : multiplication(X21,multiplication(X22,X23)) = multiplication(multiplication(X21,X22),X23),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
fof(c_0_42,plain,
! [X30] : multiplication(zero,X30) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
cnf(c_0_43,plain,
multiplication(addition(X1,antidomain(X2)),X2) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_26]),c_0_33]) ).
cnf(c_0_44,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,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_35]) ).
cnf(c_0_46,plain,
multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_26]),c_0_33]) ).
cnf(c_0_47,plain,
antidomain(zero) = domain(one),
inference(spm,[status(thm)],[c_0_28,c_0_37]) ).
cnf(c_0_48,plain,
domain(one) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_37]),c_0_33]) ).
cnf(c_0_49,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_50,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_51,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,plain,
multiplication(domain(X1),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_38]),c_0_44]) ).
cnf(c_0_53,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_45,c_0_28]),c_0_28]) ).
cnf(c_0_54,plain,
multiplication(antidomain(addition(X1,X2)),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_39]),c_0_26]) ).
cnf(c_0_55,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_56,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_38]),c_0_40]) ).
cnf(c_0_57,plain,
multiplication(antidomain(X1),multiplication(X1,X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_26]),c_0_51]) ).
cnf(c_0_58,plain,
multiplication(domain(X1),domain(X1)) = domain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_38]),c_0_28]),c_0_25]),c_0_28]) ).
cnf(c_0_59,plain,
addition(X1,multiplication(domain(X1),X2)) = multiplication(domain(X1),addition(X1,X2)),
inference(spm,[status(thm)],[c_0_36,c_0_52]) ).
cnf(c_0_60,plain,
multiplication(domain(X1),antidomain(X1)) = zero,
inference(spm,[status(thm)],[c_0_26,c_0_28]) ).
cnf(c_0_61,plain,
antidomain(multiplication(antidomain(addition(X1,X2)),domain(X1))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_56]) ).
cnf(c_0_62,plain,
antidomain(multiplication(antidomain(X1),domain(multiplication(X1,X2)))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_57]),c_0_55]),c_0_56]) ).
cnf(c_0_63,plain,
multiplication(domain(X1),multiplication(domain(X1),X2)) = multiplication(domain(X1),X2),
inference(spm,[status(thm)],[c_0_50,c_0_58]) ).
cnf(c_0_64,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_40,c_0_29]) ).
cnf(c_0_65,plain,
multiplication(domain(X1),addition(X1,antidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_33]) ).
cnf(c_0_66,plain,
domain(antidomain(X1)) = antidomain(domain(X1)),
inference(spm,[status(thm)],[c_0_28,c_0_28]) ).
cnf(c_0_67,plain,
multiplication(antidomain(addition(X1,X2)),domain(X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_61]),c_0_44]) ).
cnf(c_0_68,plain,
multiplication(antidomain(addition(X1,X2)),addition(X3,X1)) = multiplication(antidomain(addition(X1,X2)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_54]),c_0_33]) ).
cnf(c_0_69,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_25]),c_0_40]) ).
cnf(c_0_70,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_44]),c_0_40]) ).
cnf(c_0_71,plain,
multiplication(antidomain(X1),domain(multiplication(X1,X2))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_62]),c_0_44]) ).
cnf(c_0_72,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_33,c_0_40]) ).
cnf(c_0_73,plain,
multiplication(domain(X1),addition(multiplication(domain(X1),X2),X3)) = multiplication(domain(X1),addition(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_63]),c_0_36]) ).
cnf(c_0_74,plain,
addition(multiplication(X1,X2),addition(X3,multiplication(X1,X4))) = addition(X3,multiplication(X1,addition(X4,X2))),
inference(spm,[status(thm)],[c_0_64,c_0_36]) ).
cnf(c_0_75,plain,
addition(one,domain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_38]),c_0_40]) ).
cnf(c_0_76,plain,
antidomain(domain(X1)) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_28]),c_0_66]),c_0_40]),c_0_38]),c_0_25]) ).
cnf(c_0_77,plain,
multiplication(antidomain(addition(X1,X2)),domain(X2)) = zero,
inference(spm,[status(thm)],[c_0_67,c_0_49]) ).
cnf(c_0_78,plain,
multiplication(antidomain(addition(antidomain(X1),X2)),domain(X1)) = antidomain(addition(antidomain(X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_38]),c_0_25]) ).
cnf(c_0_79,plain,
multiplication(addition(X1,one),X1) = multiplication(X1,addition(X1,one)),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_80,plain,
multiplication(antidomain(X1),addition(domain(multiplication(X1,X2)),X3)) = multiplication(antidomain(X1),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_71]),c_0_72]) ).
cnf(c_0_81,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_40]),c_0_29]) ).
cnf(c_0_82,plain,
addition(X1,addition(X2,multiplication(X3,addition(X1,X2)))) = multiplication(addition(X3,one),addition(X1,X2)),
inference(spm,[status(thm)],[c_0_29,c_0_70]) ).
cnf(c_0_83,plain,
addition(X1,multiplication(domain(X2),addition(X1,X3))) = addition(multiplication(domain(X2),X3),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(spm,[status(thm)],[c_0_70,c_0_73]),c_0_29]),c_0_74]),c_0_29]),c_0_49]),c_0_40]),c_0_75]),c_0_44]) ).
cnf(c_0_84,plain,
domain(antidomain(X1)) = antidomain(X1),
inference(rw,[status(thm)],[c_0_66,c_0_76]) ).
cnf(c_0_85,plain,
antidomain(addition(X1,antidomain(X1))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_40]) ).
cnf(c_0_86,plain,
addition(multiplication(X1,X2),multiplication(X2,addition(X2,one))) = multiplication(addition(X1,addition(X2,one)),X2),
inference(spm,[status(thm)],[c_0_32,c_0_79]) ).
cnf(c_0_87,plain,
multiplication(antidomain(X1),antidomain(multiplication(X1,X2))) = antidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_38]),c_0_25]) ).
cnf(c_0_88,plain,
multiplication(domain(X1),multiplication(X1,X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_50,c_0_52]) ).
cnf(c_0_89,plain,
addition(X1,addition(X2,multiplication(X3,addition(X2,X1)))) = multiplication(addition(X3,one),addition(X2,X1)),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_90,plain,
multiplication(antidomain(multiplication(addition(X1,X2),X3)),multiplication(X1,X3)) = zero,
inference(spm,[status(thm)],[c_0_54,c_0_32]) ).
cnf(c_0_91,plain,
addition(X1,multiplication(antidomain(X2),addition(X1,X3))) = addition(multiplication(antidomain(X2),X3),X1),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_92,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,domain(X2))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_53]),c_0_26]) ).
cnf(c_0_93,plain,
domain(addition(X1,antidomain(X1))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_85]),c_0_55]) ).
cnf(c_0_94,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_86,c_0_87]),c_0_40]),c_0_56]),c_0_25]),c_0_40]),c_0_56]),c_0_40]),c_0_56]),c_0_44]) ).
cnf(c_0_95,plain,
multiplication(antidomain(X1),multiplication(antidomain(X1),X2)) = multiplication(antidomain(X1),X2),
inference(spm,[status(thm)],[c_0_88,c_0_84]) ).
cnf(c_0_96,plain,
addition(X1,multiplication(domain(X2),addition(X3,X1))) = addition(multiplication(domain(X2),X3),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_89,c_0_73]),c_0_36]),c_0_39]),c_0_40]),c_0_75]),c_0_44]) ).
cnf(c_0_97,plain,
multiplication(antidomain(X1),multiplication(domain(X2),X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_38]),c_0_44]) ).
cnf(c_0_98,plain,
addition(domain(X1),multiplication(antidomain(X2),antidomain(X1))) = addition(domain(X1),antidomain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_38]),c_0_25]),c_0_40]) ).
cnf(c_0_99,plain,
multiplication(antidomain(multiplication(X1,addition(X2,antidomain(X2)))),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_25]) ).
cnf(c_0_100,plain,
addition(domain(X1),antidomain(multiplication(antidomain(X1),X2))) = antidomain(multiplication(antidomain(X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_28]) ).
cnf(c_0_101,plain,
multiplication(antidomain(X1),addition(X1,X2)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_26]),c_0_72]) ).
cnf(c_0_102,plain,
addition(antidomain(X1),multiplication(domain(X2),domain(X1))) = addition(antidomain(X1),domain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_38]),c_0_25]),c_0_40]) ).
cnf(c_0_103,plain,
multiplication(domain(X1),addition(antidomain(X1),X2)) = multiplication(domain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_60]),c_0_72]) ).
cnf(c_0_104,plain,
multiplication(antidomain(X1),domain(multiplication(domain(X2),X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_97]),c_0_55]),c_0_44]) ).
fof(c_0_105,plain,
! [X29] : multiplication(X29,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
cnf(c_0_106,plain,
antidomain(multiplication(antidomain(X1),addition(X2,antidomain(X2)))) = domain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_33]),c_0_100]) ).
cnf(c_0_107,plain,
multiplication(domain(multiplication(X1,X2)),multiplication(X1,multiplication(X2,X3))) = multiplication(X1,multiplication(X2,X3)),
inference(spm,[status(thm)],[c_0_88,c_0_50]) ).
cnf(c_0_108,plain,
multiplication(domain(X1),multiplication(domain(X2),domain(X1))) = multiplication(domain(X1),domain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_28]),c_0_103]),c_0_28]) ).
cnf(c_0_109,plain,
multiplication(domain(X1),domain(multiplication(domain(X2),antidomain(X1)))) = zero,
inference(spm,[status(thm)],[c_0_104,c_0_28]) ).
cnf(c_0_110,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_111,plain,
antidomain(multiplication(antidomain(addition(antidomain(X1),X2)),X1)) = domain(addition(antidomain(X1),X2)),
inference(spm,[status(thm)],[c_0_106,c_0_68]) ).
cnf(c_0_112,plain,
multiplication(domain(multiplication(X1,domain(X2))),multiplication(X1,X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_107,c_0_52]) ).
cnf(c_0_113,plain,
multiplication(domain(multiplication(domain(X1),antidomain(X2))),domain(X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]) ).
cnf(c_0_114,plain,
antidomain(multiplication(X1,domain(X2))) = antidomain(multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_53]),c_0_28]),c_0_112]),c_0_84]) ).
cnf(c_0_115,plain,
multiplication(domain(multiplication(domain(X1),domain(X2))),antidomain(X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_84]),c_0_28]) ).
cnf(c_0_116,plain,
domain(multiplication(X1,domain(X2))) = domain(multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_114]),c_0_28]) ).
cnf(c_0_117,plain,
addition(domain(X1),multiplication(domain(X2),antidomain(X1))) = addition(domain(X1),domain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_38]),c_0_25]),c_0_40]) ).
cnf(c_0_118,plain,
multiplication(domain(multiplication(domain(X1),X2)),antidomain(X2)) = zero,
inference(rw,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_119,plain,
addition(X1,multiplication(antidomain(X2),addition(X3,X1))) = addition(multiplication(antidomain(X2),X3),X1),
inference(spm,[status(thm)],[c_0_96,c_0_84]) ).
cnf(c_0_120,plain,
multiplication(addition(X1,domain(X2)),X2) = multiplication(addition(X1,one),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_52]),c_0_40]),c_0_70]) ).
cnf(c_0_121,plain,
addition(domain(X1),domain(multiplication(domain(X2),X1))) = domain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_33]) ).
cnf(c_0_122,plain,
addition(antidomain(X1),multiplication(antidomain(X2),domain(X1))) = addition(antidomain(X1),antidomain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_38]),c_0_25]),c_0_40]) ).
cnf(c_0_123,plain,
multiplication(domain(X1),multiplication(domain(X2),X1)) = multiplication(domain(X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_40]),c_0_75]),c_0_44]) ).
cnf(c_0_124,plain,
domain(multiplication(X1,multiplication(X2,domain(X3)))) = domain(multiplication(X1,multiplication(X2,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_116]),c_0_116]) ).
cnf(c_0_125,plain,
multiplication(domain(X1),multiplication(antidomain(X2),domain(X1))) = multiplication(domain(X1),antidomain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_122]),c_0_28]),c_0_103]),c_0_28]) ).
cnf(c_0_126,plain,
multiplication(domain(X1),multiplication(antidomain(X2),X1)) = multiplication(antidomain(X2),X1),
inference(spm,[status(thm)],[c_0_123,c_0_84]) ).
cnf(c_0_127,plain,
multiplication(domain(multiplication(X1,X2)),domain(X1)) = domain(multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_94]),c_0_28]),c_0_28]) ).
cnf(c_0_128,plain,
multiplication(domain(multiplication(antidomain(X1),X2)),antidomain(X2)) = zero,
inference(spm,[status(thm)],[c_0_118,c_0_84]) ).
cnf(c_0_129,plain,
multiplication(addition(X1,antidomain(addition(X2,X3))),X2) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_54]),c_0_33]) ).
cnf(c_0_130,plain,
multiplication(antidomain(domain(X1)),X1) = zero,
inference(spm,[status(thm)],[c_0_57,c_0_52]) ).
cnf(c_0_131,plain,
multiplication(domain(multiplication(X1,X2)),multiplication(addition(X1,one),X2)) = multiplication(addition(X1,domain(multiplication(X1,X2))),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_59]),c_0_40]),c_0_70]) ).
cnf(c_0_132,plain,
domain(multiplication(domain(X1),antidomain(X2))) = domain(multiplication(antidomain(X2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]) ).
cnf(c_0_133,plain,
multiplication(domain(multiplication(antidomain(X1),X2)),antidomain(X1)) = domain(multiplication(antidomain(X1),X2)),
inference(spm,[status(thm)],[c_0_127,c_0_84]) ).
cnf(c_0_134,plain,
addition(domain(X1),domain(multiplication(antidomain(X2),X1))) = domain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_128]),c_0_33]) ).
cnf(c_0_135,plain,
addition(domain(X1),antidomain(addition(antidomain(X1),X2))) = domain(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_78]),c_0_40]),c_0_75]),c_0_25]),c_0_40]),c_0_75]),c_0_40]),c_0_56]),c_0_44]),c_0_40]) ).
cnf(c_0_136,plain,
multiplication(domain(addition(X1,X2)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_38]),c_0_44]) ).
cnf(c_0_137,plain,
multiplication(domain(domain(X1)),antidomain(X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_66]),c_0_28]) ).
fof(c_0_138,negated_conjecture,
~ ! [X4,X5] : domain(addition(X4,X5)) = addition(domain(X4),domain(X5)),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_139,plain,
domain(multiplication(antidomain(X1),X2)) = multiplication(domain(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_131,c_0_132]),c_0_40]),c_0_75]),c_0_44]),c_0_133]),c_0_134]) ).
cnf(c_0_140,plain,
addition(domain(X1),domain(multiplication(X1,X2))) = domain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_94]),c_0_28]) ).
cnf(c_0_141,plain,
multiplication(domain(addition(X1,X2)),X2) = X2,
inference(spm,[status(thm)],[c_0_136,c_0_49]) ).
cnf(c_0_142,plain,
domain(domain(X1)) = domain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_137]),c_0_33]),c_0_38]),c_0_25]) ).
fof(c_0_143,negated_conjecture,
domain(addition(esk1_0,esk2_0)) != addition(domain(esk1_0),domain(esk2_0)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_138])])]) ).
cnf(c_0_144,plain,
multiplication(domain(addition(X1,X2)),antidomain(X2)) = multiplication(domain(X1),antidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_46]),c_0_139]) ).
cnf(c_0_145,plain,
addition(domain(X1),domain(addition(X2,X1))) = domain(addition(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]),c_0_142]),c_0_40]) ).
cnf(c_0_146,negated_conjecture,
domain(addition(esk1_0,esk2_0)) != addition(domain(esk1_0),domain(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_147,plain,
addition(domain(X1),domain(X2)) = domain(addition(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_144]),c_0_117]),c_0_145]) ).
cnf(c_0_148,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_147]),c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE087+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Oct 3 04:50:01 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.51 Running first-order model finding
% 0.22/0.51 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.HSry1TPkUM/E---3.1_24549.p
% 55.20/7.52 # Version: 3.1pre001
% 55.20/7.52 # Preprocessing class: FSMSSMSSSSSNFFN.
% 55.20/7.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 55.20/7.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 55.20/7.52 # Starting new_bool_3 with 300s (1) cores
% 55.20/7.52 # Starting new_bool_1 with 300s (1) cores
% 55.20/7.52 # Starting sh5l with 300s (1) cores
% 55.20/7.52 # new_bool_1 with pid 24628 completed with status 0
% 55.20/7.52 # Result found by new_bool_1
% 55.20/7.52 # Preprocessing class: FSMSSMSSSSSNFFN.
% 55.20/7.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 55.20/7.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 55.20/7.52 # Starting new_bool_3 with 300s (1) cores
% 55.20/7.52 # Starting new_bool_1 with 300s (1) cores
% 55.20/7.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 55.20/7.52 # Search class: FUUPM-FFSF21-MFFFFFNN
% 55.20/7.52 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 55.20/7.52 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 55.20/7.52 # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 24632 completed with status 0
% 55.20/7.52 # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S2S
% 55.20/7.52 # Preprocessing class: FSMSSMSSSSSNFFN.
% 55.20/7.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 55.20/7.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 55.20/7.52 # Starting new_bool_3 with 300s (1) cores
% 55.20/7.52 # Starting new_bool_1 with 300s (1) cores
% 55.20/7.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 55.20/7.52 # Search class: FUUPM-FFSF21-MFFFFFNN
% 55.20/7.52 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 55.20/7.52 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 55.20/7.52 # Preprocessing time : 0.001 s
% 55.20/7.52 # Presaturation interreduction done
% 55.20/7.52
% 55.20/7.52 # Proof found!
% 55.20/7.52 # SZS status Theorem
% 55.20/7.52 # SZS output start CNFRefutation
% See solution above
% 55.20/7.52 # Parsed axioms : 21
% 55.20/7.52 # Removed by relevancy pruning/SinE : 3
% 55.20/7.52 # Initial clauses : 18
% 55.20/7.52 # Removed in clause preprocessing : 0
% 55.20/7.52 # Initial clauses in saturation : 18
% 55.20/7.52 # Processed clauses : 15830
% 55.20/7.52 # ...of these trivial : 9767
% 55.20/7.52 # ...subsumed : 4353
% 55.20/7.52 # ...remaining for further processing : 1710
% 55.20/7.52 # Other redundant clauses eliminated : 0
% 55.20/7.52 # Clauses deleted for lack of memory : 0
% 55.20/7.52 # Backward-subsumed : 0
% 55.20/7.52 # Backward-rewritten : 331
% 55.20/7.52 # Generated clauses : 909812
% 55.20/7.52 # ...of the previous two non-redundant : 370315
% 55.20/7.52 # ...aggressively subsumed : 0
% 55.20/7.52 # Contextual simplify-reflections : 0
% 55.20/7.52 # Paramodulations : 909812
% 55.20/7.52 # Factorizations : 0
% 55.20/7.52 # NegExts : 0
% 55.20/7.52 # Equation resolutions : 0
% 55.20/7.52 # Total rewrite steps : 1984042
% 55.20/7.52 # Propositional unsat checks : 0
% 55.20/7.52 # Propositional check models : 0
% 55.20/7.52 # Propositional check unsatisfiable : 0
% 55.20/7.52 # Propositional clauses : 0
% 55.20/7.52 # Propositional clauses after purity: 0
% 55.20/7.52 # Propositional unsat core size : 0
% 55.20/7.52 # Propositional preprocessing time : 0.000
% 55.20/7.52 # Propositional encoding time : 0.000
% 55.20/7.52 # Propositional solver time : 0.000
% 55.20/7.52 # Success case prop preproc time : 0.000
% 55.20/7.52 # Success case prop encoding time : 0.000
% 55.20/7.52 # Success case prop solver time : 0.000
% 55.20/7.52 # Current number of processed clauses : 1361
% 55.20/7.52 # Positive orientable unit clauses : 1349
% 55.20/7.52 # Positive unorientable unit clauses: 12
% 55.20/7.52 # Negative unit clauses : 0
% 55.20/7.52 # Non-unit-clauses : 0
% 55.20/7.52 # Current number of unprocessed clauses: 353986
% 55.20/7.52 # ...number of literals in the above : 353986
% 55.20/7.52 # Current number of archived formulas : 0
% 55.20/7.52 # Current number of archived clauses : 349
% 55.20/7.52 # Clause-clause subsumption calls (NU) : 0
% 55.20/7.52 # Rec. Clause-clause subsumption calls : 0
% 55.20/7.52 # Non-unit clause-clause subsumptions : 0
% 55.20/7.52 # Unit Clause-clause subsumption calls : 202
% 55.20/7.52 # Rewrite failures with RHS unbound : 0
% 55.20/7.52 # BW rewrite match attempts : 11965
% 55.20/7.52 # BW rewrite match successes : 424
% 55.20/7.52 # Condensation attempts : 0
% 55.20/7.52 # Condensation successes : 0
% 55.20/7.52 # Termbank termtop insertions : 11494828
% 55.20/7.52
% 55.20/7.52 # -------------------------------------------------
% 55.20/7.52 # User time : 6.512 s
% 55.20/7.52 # System time : 0.282 s
% 55.20/7.52 # Total time : 6.794 s
% 55.20/7.52 # Maximum resident set size: 1740 pages
% 55.20/7.52
% 55.20/7.52 # -------------------------------------------------
% 55.20/7.52 # User time : 6.512 s
% 55.20/7.52 # System time : 0.286 s
% 55.20/7.52 # Total time : 6.798 s
% 55.20/7.52 # Maximum resident set size: 1692 pages
% 55.20/7.52 % E---3.1 exiting
%------------------------------------------------------------------------------