TSTP Solution File: KLE090-10 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : KLE090-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n015.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 : 300s
% WCLimit : 300s
% DateTime : Tue Jul 26 07:04:58 EDT 2022
% Result : Unsatisfiable 10.23s 10.49s
% Output : CNFRefutation 10.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of clauses : 85 ( 85 unt; 0 nHn; 34 RR)
% Number of literals : 85 ( 84 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 70 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
addition(A,B) = addition(B,A),
file('/tmp/MaedMax_31884') ).
cnf(eq_1,axiom,
addition(A,addition(B,C)) = addition(addition(A,B),C),
file('/tmp/MaedMax_31884') ).
cnf(eq_2,axiom,
A = addition(A,zero),
file('/tmp/MaedMax_31884') ).
cnf(eq_3,axiom,
A = addition(A,A),
file('/tmp/MaedMax_31884') ).
cnf(eq_4,axiom,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
file('/tmp/MaedMax_31884') ).
cnf(eq_5,axiom,
A = multiplication(A,one),
file('/tmp/MaedMax_31884') ).
cnf(eq_6,axiom,
A = multiplication(one,A),
file('/tmp/MaedMax_31884') ).
cnf(eq_7,axiom,
addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)),
file('/tmp/MaedMax_31884') ).
cnf(eq_8,axiom,
addition(multiplication(A,B),multiplication(C,B)) = multiplication(addition(A,C),B),
file('/tmp/MaedMax_31884') ).
cnf(eq_9,axiom,
zero = multiplication(antidomain(A),A),
file('/tmp/MaedMax_31884') ).
cnf(eq_10,axiom,
addition(antidomain(multiplication(A,B)),antidomain(multiplication(A,antidomain(antidomain(B))))) = antidomain(multiplication(A,antidomain(antidomain(B)))),
file('/tmp/MaedMax_31884') ).
cnf(eq_11,axiom,
addition(antidomain(antidomain(A)),antidomain(A)) = one,
file('/tmp/MaedMax_31884') ).
cnf(eq_12,axiom,
antidomain(antidomain(A)) = domain(A),
file('/tmp/MaedMax_31884') ).
cnf(eq_13,axiom,
zero = multiplication(A,coantidomain(A)),
file('/tmp/MaedMax_31884') ).
cnf(eq_14,axiom,
addition(coantidomain(multiplication(A,B)),coantidomain(multiplication(coantidomain(coantidomain(A)),B))) = coantidomain(multiplication(coantidomain(coantidomain(A)),B)),
file('/tmp/MaedMax_31884') ).
cnf(eq_15,axiom,
addition(coantidomain(coantidomain(A)),coantidomain(A)) = one,
file('/tmp/MaedMax_31884') ).
cnf(eq_16,axiom,
coantidomain(coantidomain(A)) = codomain(A),
file('/tmp/MaedMax_31884') ).
cnf(eq_17,axiom,
addition(sK2_goals_X0,sK1_goals_X1) = sK1_goals_X1,
file('/tmp/MaedMax_31884') ).
cnf(eq_18,negated_conjecture,
addition(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)) != antidomain(sK2_goals_X0),
file('/tmp/MaedMax_31884') ).
cnf(eq_19,plain,
addition(codomain(A),coantidomain(A)) = one,
inference(rw,[status(thm)],[eq_15,eq_16]) ).
cnf(eq_20,plain,
addition(antidomain(multiplication(A,B)),antidomain(multiplication(A,domain(B)))) = antidomain(multiplication(A,domain(B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_10,eq_12]),eq_12]) ).
cnf(eq_21,plain,
addition(domain(A),antidomain(A)) = one,
inference(rw,[status(thm)],[eq_11,eq_12]) ).
cnf(eq_22,negated_conjecture,
addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1)) != antidomain(sK2_goals_X0),
inference(rw,[status(thm)],[eq_18,eq_0]) ).
cnf(eq_23,plain,
addition(A,addition(B,addition(A,B))) = addition(A,B),
inference(cp,[status(thm)],[eq_1,eq_3]) ).
cnf(eq_24,plain,
addition(A,x102) = addition(A,addition(A,x102)),
inference(cp,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_25,plain,
addition(one,x102) = addition(antidomain(antidomain(A)),addition(antidomain(A),x102)),
inference(cp,[status(thm)],[eq_11,eq_1]) ).
cnf(eq_26,plain,
addition(one,x102) = addition(coantidomain(coantidomain(A)),addition(coantidomain(A),x102)),
inference(cp,[status(thm)],[eq_15,eq_1]) ).
cnf(eq_27,plain,
zero = antidomain(one),
inference(cp,[status(thm)],[eq_9,eq_5]) ).
cnf(eq_28,plain,
multiplication(x100,addition(antidomain(antidomain(A)),antidomain(A))) = x100,
inference(cp,[status(thm)],[eq_11,eq_5]) ).
cnf(eq_29,plain,
coantidomain(one) = zero,
inference(cp,[status(thm)],[eq_6,eq_13]) ).
cnf(eq_30,plain,
multiplication(A,multiplication(B,coantidomain(multiplication(A,B)))) = zero,
inference(cp,[status(thm)],[eq_4,eq_13]) ).
cnf(eq_31,plain,
zero = coantidomain(one),
inference(cp,[status(thm)],[eq_13,eq_6]) ).
cnf(eq_32,plain,
A = addition(zero,A),
inference(cp,[status(thm)],[eq_2,eq_0]) ).
cnf(eq_33,plain,
addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(antidomain(A))),A))) = coantidomain(multiplication(coantidomain(coantidomain(antidomain(A))),A)),
inference(cp,[status(thm)],[eq_9,eq_14]) ).
cnf(eq_34,plain,
multiplication(x100,sK1_goals_X1) = addition(multiplication(x100,sK2_goals_X0),multiplication(x100,sK1_goals_X1)),
inference(cp,[status(thm)],[eq_17,eq_7]) ).
cnf(eq_35,plain,
addition(A,B) = addition(A,addition(A,B)),
eq_24 ).
cnf(eq_36,plain,
addition(one,A) = addition(codomain(B),addition(coantidomain(B),A)),
inference(rw,[status(thm)],[eq_26,eq_16]) ).
cnf(eq_37,plain,
addition(one,A) = addition(domain(B),addition(antidomain(B),A)),
inference(rw,[status(thm)],[eq_25,eq_12]) ).
cnf(eq_38,plain,
coantidomain(zero) = codomain(one),
inference(cp,[status(thm)],[eq_29,eq_16]) ).
cnf(eq_39,plain,
addition(antidomain(antidomain(one)),zero) = one,
inference(cp,[status(thm)],[eq_27,eq_11]) ).
cnf(eq_40,plain,
addition(codomain(one),zero) = one,
inference(cp,[status(thm)],[eq_29,eq_19]) ).
cnf(eq_41,plain,
antidomain(one) = coantidomain(one),
inference(cp,[status(thm)],[eq_27,eq_31]) ).
cnf(eq_42,plain,
one = domain(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_39,eq_12]),eq_2]) ).
cnf(eq_43,plain,
addition(multiplication(A,sK2_goals_X0),multiplication(A,sK1_goals_X1)) = multiplication(A,sK1_goals_X1),
eq_34 ).
cnf(eq_44,plain,
one = codomain(one),
inference(rw,[status(thm)],[eq_40,eq_2]) ).
cnf(eq_45,plain,
A = addition(multiplication(A,domain(B)),multiplication(A,antidomain(B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_12]),eq_7]) ).
cnf(eq_46,plain,
one = coantidomain(coantidomain(one)),
inference(rw,[status(thm)],[eq_44,eq_16]) ).
cnf(eq_47,plain,
coantidomain(antidomain(one)) = coantidomain(coantidomain(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_38,eq_27]),eq_16]) ).
cnf(eq_48,plain,
one = coantidomain(antidomain(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_47,eq_16]),eq_44]) ).
cnf(eq_49,plain,
antidomain(coantidomain(one)) = domain(one),
inference(cp,[status(thm)],[eq_41,eq_12]) ).
cnf(eq_50,plain,
one = antidomain(coantidomain(one)),
inference(rw,[status(thm)],[eq_49,eq_42]) ).
cnf(eq_51,plain,
addition(coantidomain(antidomain(one)),coantidomain(multiplication(codomain(antidomain(A)),A))) = coantidomain(multiplication(codomain(antidomain(A)),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_27]),eq_16]),eq_16]) ).
cnf(eq_52,plain,
addition(codomain(A),one) = addition(codomain(A),coantidomain(A)),
inference(cp,[status(thm)],[eq_19,eq_35]) ).
cnf(eq_53,plain,
addition(domain(A),one) = addition(domain(A),antidomain(A)),
inference(cp,[status(thm)],[eq_21,eq_35]) ).
cnf(eq_54,plain,
addition(domain(A),one) = one,
inference(rw,[status(thm)],[eq_53,eq_21]) ).
cnf(eq_55,plain,
addition(one,codomain(A)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_0]),eq_19]) ).
cnf(eq_56,plain,
addition(one,domain(x100)) = one,
inference(cp,[status(thm)],[eq_0,eq_54]) ).
cnf(eq_57,plain,
addition(one,domain(A)) = one,
eq_56 ).
cnf(eq_58,plain,
one = coantidomain(zero),
inference(rw,[status(thm)],[eq_46,eq_29]) ).
cnf(eq_59,plain,
one = antidomain(zero),
inference(rw,[status(thm)],[eq_50,eq_29]) ).
cnf(eq_60,plain,
addition(coantidomain(B),addition(one,codomain(B))) = addition(coantidomain(B),codomain(B)),
inference(cp,[status(thm)],[eq_36,eq_23]) ).
cnf(eq_61,plain,
addition(antidomain(B),addition(one,domain(B))) = addition(antidomain(B),domain(B)),
inference(cp,[status(thm)],[eq_37,eq_23]) ).
cnf(eq_62,plain,
addition(one,coantidomain(A)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_60,eq_55]),eq_0]),eq_0]),eq_19]) ).
cnf(eq_63,plain,
addition(one,antidomain(A)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_61,eq_57]),eq_0]),eq_0]),eq_21]) ).
cnf(eq_64,plain,
multiplication(one,x102) = addition(multiplication(one,x102),multiplication(antidomain(A),x102)),
inference(cp,[status(thm)],[eq_63,eq_8]) ).
cnf(eq_65,plain,
A = addition(A,multiplication(antidomain(B),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_64,eq_6]),eq_6]) ).
cnf(eq_66,plain,
antidomain(zero) = coantidomain(zero),
inference(rw,[status(thm)],[eq_59,eq_58]) ).
cnf(eq_67,plain,
zero = coantidomain(coantidomain(zero)),
inference(rw,[status(thm)],[eq_31,eq_58]) ).
cnf(eq_68,plain,
A = multiplication(coantidomain(zero),A),
inference(rw,[status(thm)],[eq_6,eq_58]) ).
cnf(eq_69,plain,
addition(coantidomain(zero),antidomain(A)) = coantidomain(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_63,eq_58]),eq_58]) ).
cnf(eq_70,plain,
addition(multiplication(antidomain(sK1_goals_X1),sK2_goals_X0),zero) = multiplication(antidomain(sK1_goals_X1),sK1_goals_X1),
inference(cp,[status(thm)],[eq_9,eq_43]) ).
cnf(eq_71,plain,
zero = multiplication(antidomain(sK1_goals_X1),sK2_goals_X0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_70,eq_2]),eq_9]) ).
cnf(eq_72,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)))) = antidomain(multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))),
inference(cp,[status(thm)],[eq_71,eq_20]) ).
cnf(eq_73,plain,
antidomain(multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) = coantidomain(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_72,eq_66]),eq_69]) ).
cnf(eq_74,plain,
one = coantidomain(multiplication(codomain(antidomain(A)),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_48]),eq_62]) ).
cnf(eq_75,plain,
multiplication(codomain(antidomain(A)),multiplication(A,one)) = zero,
inference(cp,[status(thm)],[eq_74,eq_30]) ).
cnf(eq_76,plain,
zero = multiplication(codomain(antidomain(A)),A),
inference(rw,[status(thm)],[eq_75,eq_5]) ).
cnf(eq_77,plain,
zero = multiplication(coantidomain(coantidomain(antidomain(A))),A),
inference(rw,[status(thm)],[eq_76,eq_16]) ).
cnf(eq_78,plain,
multiplication(coantidomain(coantidomain(coantidomain(zero))),multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) = zero,
inference(cp,[status(thm)],[eq_73,eq_77]) ).
cnf(eq_79,plain,
zero = multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_78,eq_67]),eq_68]) ).
cnf(eq_80,plain,
addition(zero,multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0))) = antidomain(sK1_goals_X1),
inference(cp,[status(thm)],[eq_79,eq_45]) ).
cnf(eq_81,plain,
multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)) = antidomain(sK1_goals_X1),
inference(rw,[status(thm)],[eq_80,eq_32]) ).
cnf(eq_82,plain,
addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1)) = antidomain(sK2_goals_X0),
inference(cp,[status(thm)],[eq_81,eq_65]) ).
cnf(eq_83,negated_conjecture,
antidomain(sK2_goals_X0) != antidomain(sK2_goals_X0),
inference(rw,[status(thm)],[eq_22,eq_82]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE090-10 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 04:45:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 10.23/10.49 % SZS status Unsatisfiable
% 10.23/10.49 % SZS output start CNFRefutation for /tmp/MaedMax_31884
% See solution above
% 10.23/10.49
%------------------------------------------------------------------------------