TSTP Solution File: KLE145-10 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KLE145-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 : Thu Aug 31 05:26:35 EDT 2023
% Result : Unsatisfiable 2.26s 2.30s
% Output : CNFRefutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 35
% Syntax : Number of formulae : 139 ( 127 unt; 12 typ; 0 def)
% Number of atoms : 127 ( 126 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 20 ( 8 >; 12 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 222 ( 25 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
ifeq3: ( $i * $i * $i * $i ) > $i ).
tff(decl_23,type,
ifeq2: ( $i * $i * $i * $i ) > $i ).
tff(decl_24,type,
ifeq: ( $i * $i * $i * $i ) > $i ).
tff(decl_25,type,
addition: ( $i * $i ) > $i ).
tff(decl_26,type,
zero: $i ).
tff(decl_27,type,
multiplication: ( $i * $i ) > $i ).
tff(decl_28,type,
one: $i ).
tff(decl_29,type,
star: $i > $i ).
tff(decl_30,type,
leq: ( $i * $i ) > $i ).
tff(decl_31,type,
true: $i ).
tff(decl_32,type,
strong_iteration: $i > $i ).
tff(decl_33,type,
sK1_goals_X0: $i ).
cnf(additive_associativity,axiom,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
cnf(idempotence,axiom,
addition(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence) ).
cnf(order,axiom,
ifeq3(addition(X1,X2),X2,leq(X1,X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
cnf(ifeq_axiom,axiom,
ifeq3(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(additive_commutativity,axiom,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
cnf(star_unfold2,axiom,
addition(one,multiplication(star(X1),X1)) = star(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold2) ).
cnf(order_1,axiom,
ifeq2(leq(X1,X2),true,addition(X1,X2),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order_1) ).
cnf(ifeq_axiom_001,axiom,
ifeq2(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
cnf(distributivity1,axiom,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
cnf(multiplicative_right_identity,axiom,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
cnf(distributivity2,axiom,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
cnf(multiplicative_left_identity,axiom,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
cnf(infty_coinduction,axiom,
ifeq(leq(X1,addition(multiplication(X2,X1),X3)),true,leq(X1,multiplication(strong_iteration(X2),X3)),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infty_coinduction) ).
cnf(ifeq_axiom_002,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_002) ).
cnf(isolation,axiom,
strong_iteration(X1) = addition(star(X1),multiplication(strong_iteration(X1),zero)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isolation) ).
cnf(infty_unfold1,axiom,
strong_iteration(X1) = addition(multiplication(X1,strong_iteration(X1)),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infty_unfold1) ).
cnf(multiplicative_associativity,axiom,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
cnf(additive_identity,axiom,
addition(X1,zero) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
cnf(star_unfold1,axiom,
addition(one,multiplication(X1,star(X1))) = star(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold1) ).
cnf(left_annihilation,axiom,
multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
cnf(star_induction2,axiom,
ifeq(leq(addition(multiplication(X1,X2),X3),X1),true,leq(multiplication(X3,star(X2)),X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_induction2) ).
cnf(star_induction1,axiom,
ifeq(leq(addition(multiplication(X1,X2),X3),X2),true,leq(multiplication(star(X1),X3),X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_induction1) ).
cnf(goals,negated_conjecture,
star(strong_iteration(sK1_goals_X0)) != strong_iteration(sK1_goals_X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(c_0_23,axiom,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
additive_associativity ).
cnf(c_0_24,axiom,
addition(X1,X1) = X1,
idempotence ).
cnf(c_0_25,axiom,
ifeq3(addition(X1,X2),X2,leq(X1,X2),true) = true,
order ).
cnf(c_0_26,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,axiom,
ifeq3(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_28,plain,
leq(X1,addition(X1,X2)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_29,axiom,
addition(X1,X2) = addition(X2,X1),
additive_commutativity ).
cnf(c_0_30,plain,
leq(X1,addition(X2,X1)) = true,
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_31,axiom,
addition(one,multiplication(star(X1),X1)) = star(X1),
star_unfold2 ).
cnf(c_0_32,axiom,
ifeq2(leq(X1,X2),true,addition(X1,X2),X2) = X2,
order_1 ).
cnf(c_0_33,plain,
leq(multiplication(star(X1),X1),star(X1)) = true,
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,axiom,
ifeq2(X1,X1,X2,X3) = X2,
ifeq_axiom_001 ).
cnf(c_0_35,axiom,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
distributivity1 ).
cnf(c_0_36,axiom,
multiplication(X1,one) = X1,
multiplicative_right_identity ).
cnf(c_0_37,axiom,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
distributivity2 ).
cnf(c_0_38,plain,
addition(star(X1),multiplication(star(X1),X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_29]) ).
cnf(c_0_39,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_29]) ).
cnf(c_0_40,plain,
addition(one,addition(multiplication(star(X1),X1),X2)) = addition(star(X1),X2),
inference(spm,[status(thm)],[c_0_23,c_0_31]) ).
cnf(c_0_41,plain,
ifeq3(multiplication(addition(X1,X2),X3),multiplication(X2,X3),leq(multiplication(X1,X3),multiplication(X2,X3)),true) = true,
inference(spm,[status(thm)],[c_0_25,c_0_37]) ).
cnf(c_0_42,plain,
addition(one,star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_26,c_0_31]) ).
cnf(c_0_43,axiom,
multiplication(one,X1) = X1,
multiplicative_left_identity ).
cnf(c_0_44,plain,
multiplication(star(X1),addition(X1,one)) = star(X1),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
leq(one,addition(star(X1),X2)) = true,
inference(spm,[status(thm)],[c_0_28,c_0_40]) ).
cnf(c_0_46,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_26,c_0_29]) ).
cnf(c_0_47,plain,
leq(X1,multiplication(star(X2),X1)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_27]) ).
cnf(c_0_48,plain,
multiplication(star(X1),addition(one,X1)) = star(X1),
inference(spm,[status(thm)],[c_0_44,c_0_29]) ).
cnf(c_0_49,plain,
leq(one,addition(X1,star(X2))) = true,
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,axiom,
ifeq(leq(X1,addition(multiplication(X2,X1),X3)),true,leq(X1,multiplication(strong_iteration(X2),X3)),true) = true,
infty_coinduction ).
cnf(c_0_51,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom_002 ).
cnf(c_0_52,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_29,c_0_23]) ).
cnf(c_0_53,plain,
leq(addition(one,X1),star(X1)) = true,
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,plain,
addition(one,addition(X1,star(X2))) = addition(X1,star(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_49]),c_0_34]) ).
cnf(c_0_55,plain,
leq(X1,multiplication(strong_iteration(X2),X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_30]),c_0_51]) ).
cnf(c_0_56,plain,
leq(X1,addition(X2,addition(X1,X3))) = true,
inference(spm,[status(thm)],[c_0_28,c_0_52]) ).
cnf(c_0_57,plain,
addition(X1,star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_53]),c_0_23]),c_0_54]),c_0_34]) ).
cnf(c_0_58,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_59,plain,
addition(X1,multiplication(strong_iteration(X2),X1)) = multiplication(strong_iteration(X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_55]),c_0_34]) ).
cnf(c_0_60,plain,
leq(X1,addition(X2,star(X1))) = true,
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_61,axiom,
strong_iteration(X1) = addition(star(X1),multiplication(strong_iteration(X1),zero)),
isolation ).
cnf(c_0_62,axiom,
strong_iteration(X1) = addition(multiplication(X1,strong_iteration(X1)),one),
infty_unfold1 ).
cnf(c_0_63,plain,
addition(X1,multiplication(X1,strong_iteration(X2))) = multiplication(X1,strong_iteration(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_36]),c_0_36]) ).
cnf(c_0_64,plain,
leq(X1,addition(star(X1),X2)) = true,
inference(spm,[status(thm)],[c_0_60,c_0_29]) ).
cnf(c_0_65,plain,
addition(star(X1),strong_iteration(X1)) = strong_iteration(X1),
inference(spm,[status(thm)],[c_0_26,c_0_61]) ).
cnf(c_0_66,plain,
addition(one,multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
inference(rw,[status(thm)],[c_0_62,c_0_29]) ).
cnf(c_0_67,axiom,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
multiplicative_associativity ).
cnf(c_0_68,plain,
leq(X1,addition(X2,multiplication(X1,strong_iteration(X3)))) = true,
inference(spm,[status(thm)],[c_0_56,c_0_63]) ).
cnf(c_0_69,plain,
leq(X1,strong_iteration(X1)) = true,
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,axiom,
addition(X1,zero) = X1,
additive_identity ).
cnf(c_0_71,axiom,
addition(one,multiplication(X1,star(X1))) = star(X1),
star_unfold1 ).
cnf(c_0_72,plain,
addition(one,multiplication(X1,multiplication(X2,strong_iteration(multiplication(X1,X2))))) = strong_iteration(multiplication(X1,X2)),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_73,axiom,
multiplication(zero,X1) = zero,
left_annihilation ).
cnf(c_0_74,plain,
leq(X1,addition(multiplication(X1,strong_iteration(X2)),X3)) = true,
inference(spm,[status(thm)],[c_0_68,c_0_29]) ).
cnf(c_0_75,plain,
addition(X1,strong_iteration(X1)) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_69]),c_0_34]) ).
cnf(c_0_76,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_70,c_0_29]) ).
cnf(c_0_77,plain,
addition(one,multiplication(X1,multiplication(X2,star(multiplication(X1,X2))))) = star(multiplication(X1,X2)),
inference(spm,[status(thm)],[c_0_71,c_0_67]) ).
cnf(c_0_78,plain,
addition(one,multiplication(X1,zero)) = strong_iteration(multiplication(X1,zero)),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,plain,
leq(X1,strong_iteration(multiplication(X1,strong_iteration(X2)))) = true,
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,plain,
addition(X1,multiplication(X1,zero)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_76]),c_0_36]) ).
cnf(c_0_81,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_43]),c_0_29]) ).
cnf(c_0_82,plain,
strong_iteration(multiplication(X1,zero)) = star(multiplication(X1,zero)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_73]),c_0_78]) ).
cnf(c_0_83,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_29]),c_0_23]) ).
cnf(c_0_84,axiom,
ifeq(leq(addition(multiplication(X1,X2),X3),X1),true,leq(multiplication(X3,star(X2)),X1),true) = true,
star_induction2 ).
cnf(c_0_85,plain,
addition(star(X1),addition(multiplication(strong_iteration(X1),zero),X2)) = addition(strong_iteration(X1),X2),
inference(spm,[status(thm)],[c_0_23,c_0_61]) ).
cnf(c_0_86,plain,
addition(X1,strong_iteration(multiplication(X1,strong_iteration(X2)))) = strong_iteration(multiplication(X1,strong_iteration(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_79]),c_0_34]) ).
cnf(c_0_87,plain,
addition(X1,star(multiplication(X1,zero))) = addition(X1,one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_76]),c_0_23]),c_0_78]),c_0_82]) ).
cnf(c_0_88,plain,
addition(one,strong_iteration(X1)) = strong_iteration(X1),
inference(spm,[status(thm)],[c_0_26,c_0_66]) ).
cnf(c_0_89,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(one,X2),X1),
inference(spm,[status(thm)],[c_0_37,c_0_43]) ).
cnf(c_0_90,plain,
addition(one,multiplication(X1,zero)) = star(multiplication(X1,zero)),
inference(rw,[status(thm)],[c_0_78,c_0_82]) ).
cnf(c_0_91,plain,
addition(X1,addition(X2,multiplication(X1,zero))) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_83,c_0_80]) ).
cnf(c_0_92,plain,
ifeq(leq(addition(X1,multiplication(X2,X3)),X2),true,leq(multiplication(X1,star(X3)),X2),true) = true,
inference(spm,[status(thm)],[c_0_84,c_0_29]) ).
cnf(c_0_93,plain,
leq(X1,X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_24]),c_0_27]) ).
cnf(c_0_94,plain,
leq(multiplication(X1,strong_iteration(X1)),strong_iteration(X1)) = true,
inference(spm,[status(thm)],[c_0_30,c_0_66]) ).
cnf(c_0_95,plain,
addition(one,multiplication(addition(star(X1),X2),X1)) = addition(star(X1),multiplication(X2,X1)),
inference(spm,[status(thm)],[c_0_40,c_0_37]) ).
cnf(c_0_96,plain,
addition(star(X1),star(multiplication(strong_iteration(X1),zero))) = strong_iteration(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_85,c_0_86]),c_0_67]),c_0_73]),c_0_82]),c_0_67]),c_0_73]),c_0_82]),c_0_87]),c_0_29]),c_0_88]) ).
cnf(c_0_97,plain,
multiplication(star(multiplication(X1,zero)),X2) = addition(X2,multiplication(X1,zero)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_67]),c_0_73]) ).
cnf(c_0_98,plain,
addition(star(X1),addition(X2,multiplication(strong_iteration(X1),zero))) = addition(X2,strong_iteration(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_46]),c_0_91]) ).
cnf(c_0_99,plain,
ifeq2(leq(X1,X2),true,addition(X2,X1),X2) = X2,
inference(spm,[status(thm)],[c_0_32,c_0_29]) ).
cnf(c_0_100,plain,
leq(multiplication(star(X1),star(X1)),star(X1)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_38]),c_0_93]),c_0_51]) ).
cnf(c_0_101,plain,
addition(X1,multiplication(X1,star(X2))) = multiplication(X1,star(X2)),
inference(spm,[status(thm)],[c_0_58,c_0_42]) ).
cnf(c_0_102,axiom,
ifeq(leq(addition(multiplication(X1,X2),X3),X2),true,leq(multiplication(star(X1),X3),X2),true) = true,
star_induction1 ).
cnf(c_0_103,plain,
addition(strong_iteration(X1),multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_94]),c_0_34]),c_0_29]) ).
cnf(c_0_104,plain,
ifeq(leq(addition(X1,multiplication(X2,X3)),X2),true,leq(multiplication(addition(X1,multiplication(X2,X3)),star(X3)),X2),true) = true,
inference(spm,[status(thm)],[c_0_84,c_0_46]) ).
cnf(c_0_105,plain,
addition(one,multiplication(strong_iteration(X1),X1)) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]),c_0_98]),c_0_75]) ).
cnf(c_0_106,plain,
ifeq(leq(addition(one,multiplication(X1,X2)),X1),true,leq(star(X2),X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_43]),c_0_29]) ).
cnf(c_0_107,plain,
multiplication(star(X1),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]),c_0_34]) ).
cnf(c_0_108,plain,
ifeq(leq(multiplication(addition(X1,X2),X3),X3),true,leq(multiplication(star(X1),multiplication(X2,X3)),X3),true) = true,
inference(spm,[status(thm)],[c_0_102,c_0_37]) ).
cnf(c_0_109,plain,
multiplication(addition(X1,one),strong_iteration(X1)) = strong_iteration(X1),
inference(rw,[status(thm)],[c_0_103,c_0_81]) ).
cnf(c_0_110,plain,
leq(multiplication(strong_iteration(X1),star(X1)),strong_iteration(X1)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_93]),c_0_51]) ).
cnf(c_0_111,plain,
leq(star(star(X1)),star(X1)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_42]),c_0_93]),c_0_51]) ).
cnf(c_0_112,plain,
leq(multiplication(star(X1),strong_iteration(X1)),strong_iteration(X1)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_93]),c_0_43]),c_0_51]) ).
cnf(c_0_113,plain,
addition(X1,multiplication(star(X2),X1)) = multiplication(star(X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_47]),c_0_34]) ).
cnf(c_0_114,plain,
multiplication(strong_iteration(X1),star(X1)) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_110]),c_0_101]),c_0_34]) ).
cnf(c_0_115,plain,
addition(one,multiplication(star(X1),addition(X1,X2))) = addition(star(X1),multiplication(star(X1),X2)),
inference(spm,[status(thm)],[c_0_40,c_0_35]) ).
cnf(c_0_116,plain,
star(star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_111]),c_0_57]),c_0_34]) ).
cnf(c_0_117,plain,
multiplication(star(X1),strong_iteration(X1)) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_112]),c_0_113]),c_0_34]) ).
cnf(c_0_118,plain,
multiplication(strong_iteration(X1),multiplication(star(X1),X2)) = multiplication(strong_iteration(X1),X2),
inference(spm,[status(thm)],[c_0_67,c_0_114]) ).
cnf(c_0_119,plain,
multiplication(star(X1),star(multiplication(strong_iteration(X1),zero))) = strong_iteration(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(spm,[status(thm)],[c_0_115,c_0_96]),c_0_116]),c_0_117]),c_0_88]),c_0_116]),c_0_116]),c_0_101]) ).
cnf(c_0_120,plain,
multiplication(addition(X1,star(X2)),addition(X2,one)) = addition(star(X2),multiplication(X1,addition(X2,one))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_44]),c_0_29]) ).
cnf(c_0_121,plain,
multiplication(strong_iteration(X1),star(multiplication(strong_iteration(X1),zero))) = multiplication(strong_iteration(X1),strong_iteration(X1)),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_122,plain,
multiplication(strong_iteration(X1),strong_iteration(X1)) = strong_iteration(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_96]),c_0_29]),c_0_90]),c_0_121]),c_0_29]),c_0_90]),c_0_119]),c_0_29]),c_0_87]),c_0_29]),c_0_88]) ).
cnf(c_0_123,plain,
leq(star(strong_iteration(X1)),strong_iteration(X1)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_122]),c_0_88]),c_0_93]),c_0_51]) ).
cnf(c_0_124,negated_conjecture,
star(strong_iteration(sK1_goals_X0)) != strong_iteration(sK1_goals_X0),
goals ).
cnf(c_0_125,plain,
star(strong_iteration(X1)) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_123]),c_0_29]),c_0_57]),c_0_34]) ).
cnf(c_0_126,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_125])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE145-10 : TPTP v8.1.2. Released v7.3.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 11:37:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 2.26/2.30 % Version : CSE_E---1.5
% 2.26/2.30 % Problem : theBenchmark.p
% 2.26/2.30 % Proof found
% 2.26/2.30 % SZS status Theorem for theBenchmark.p
% 2.26/2.30 % SZS output start Proof
% See solution above
% 2.26/2.31 % Total time : 1.728000 s
% 2.26/2.31 % SZS output end Proof
% 2.26/2.31 % Total time : 1.731000 s
%------------------------------------------------------------------------------