%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KLE147-10 : TPTP v9.2.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n016.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 May 5 04:35:49 PM UTC 2026
% Result : Unsatisfiable 52.18s 39.18s
% Output : CNFRefutation 52.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of clauses : 117 ( 117 unt; 0 nHn; 4 RR)
% Number of literals : 117 ( 116 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 : 15 ( 15 usr; 6 con; 0-4 aty)
% Number of variables : 209 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(additive_associativity,axiom,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
cnf(idempotence,axiom,
addition(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence) ).
cnf(order,axiom,
ifeq3(addition(X1,X2),X2,leq(X1,X2),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
cnf(ifeq_axiom,axiom,
ifeq3(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(additive_commutativity,axiom,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
cnf(star_unfold1,axiom,
addition(one,multiplication(X1,star(X1))) = star(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold1) ).
cnf(distributivity1,axiom,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
cnf(multiplicative_right_identity,axiom,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
cnf(star_unfold2,axiom,
addition(one,multiplication(star(X1),X1)) = star(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold2) ).
cnf(order_1,axiom,
ifeq2(leq(X1,X2),true,addition(X1,X2),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order_1) ).
cnf(ifeq_axiom_001,axiom,
ifeq2(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
cnf(distributivity2,axiom,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
cnf(multiplicative_left_identity,axiom,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
cnf(star_induction2,axiom,
ifeq(leq(addition(multiplication(X1,X2),X3),X1),true,leq(multiplication(X3,star(X2)),X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_induction2) ).
cnf(multiplicative_associativity,axiom,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
cnf(ifeq_axiom_002,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_002) ).
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/sandbox/benchmark/theBenchmark.p',infty_coinduction) ).
cnf(star_induction1,axiom,
ifeq(leq(addition(multiplication(X1,X2),X3),X2),true,leq(multiplication(star(X1),X3),X2),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_induction1) ).
cnf(infty_unfold1,axiom,
strong_iteration(X1) = addition(multiplication(X1,strong_iteration(X1)),one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infty_unfold1) ).
cnf(goals,negated_conjecture,
tuple(leq(multiplication(star(sK1_goals_X1),strong_iteration(multiplication(star(sK2_goals_X0),sK1_goals_X1))),strong_iteration(multiplication(star(sK2_goals_X0),sK1_goals_X1))),leq(strong_iteration(multiplication(star(sK4_goals_X0),sK3_goals_X1)),multiplication(star(sK3_goals_X1),strong_iteration(multiplication(star(sK4_goals_X0),sK3_goals_X1))))) != tuple(true,true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c_0_20,axiom,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
additive_associativity ).
cnf(c_0_21,axiom,
addition(X1,X1) = X1,
idempotence ).
cnf(c_0_22,axiom,
ifeq3(addition(X1,X2),X2,leq(X1,X2),true) = true,
order ).
cnf(c_0_23,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,axiom,
ifeq3(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_25,plain,
leq(X1,addition(X1,X2)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_26,axiom,
addition(X1,X2) = addition(X2,X1),
additive_commutativity ).
cnf(c_0_27,plain,
leq(X1,addition(X2,X1)) = true,
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,axiom,
addition(one,multiplication(X1,star(X1))) = star(X1),
star_unfold1 ).
cnf(c_0_29,axiom,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
distributivity1 ).
cnf(c_0_30,axiom,
multiplication(X1,one) = X1,
multiplicative_right_identity ).
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(X1,star(X1)),star(X1)) = true,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,axiom,
ifeq2(X1,X1,X2,X3) = X2,
ifeq_axiom_001 ).
cnf(c_0_35,axiom,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
distributivity2 ).
cnf(c_0_36,axiom,
multiplication(one,X1) = X1,
multiplicative_left_identity ).
cnf(c_0_37,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_26]) ).
cnf(c_0_38,plain,
leq(multiplication(star(X1),X1),star(X1)) = true,
inference(spm,[status(thm)],[c_0_27,c_0_31]) ).
cnf(c_0_39,plain,
addition(star(X1),multiplication(X1,star(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_26]) ).
cnf(c_0_40,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_26]) ).
cnf(c_0_41,plain,
leq(X1,multiplication(X1,addition(X2,one))) = true,
inference(spm,[status(thm)],[c_0_25,c_0_37]) ).
cnf(c_0_42,axiom,
ifeq(leq(addition(multiplication(X1,X2),X3),X1),true,leq(multiplication(X3,star(X2)),X1),true) = true,
star_induction2 ).
cnf(c_0_43,axiom,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
multiplicative_associativity ).
cnf(c_0_44,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_38]),c_0_34]),c_0_26]) ).
cnf(c_0_45,plain,
multiplication(addition(X1,one),star(X1)) = star(X1),
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,plain,
leq(X1,multiplication(X1,addition(one,X2))) = true,
inference(spm,[status(thm)],[c_0_41,c_0_26]) ).
cnf(c_0_47,plain,
addition(one,star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_23,c_0_31]) ).
cnf(c_0_48,plain,
ifeq(leq(multiplication(X1,addition(X2,X3)),X1),true,leq(multiplication(X1,multiplication(X3,star(X2))),X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_29]),c_0_43]) ).
cnf(c_0_49,plain,
multiplication(star(X1),addition(X1,one)) = star(X1),
inference(rw,[status(thm)],[c_0_44,c_0_37]) ).
cnf(c_0_50,plain,
leq(X1,X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_21]),c_0_24]) ).
cnf(c_0_51,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom_002 ).
cnf(c_0_52,plain,
multiplication(addition(one,X1),star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_45,c_0_26]) ).
cnf(c_0_53,plain,
leq(X1,multiplication(X1,star(X2))) = true,
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_54,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_42,c_0_36]),c_0_26]) ).
cnf(c_0_55,plain,
ifeq(leq(multiplication(X1,X2),X1),true,leq(multiplication(X1,multiplication(X2,star(X2))),X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_21]),c_0_43]) ).
cnf(c_0_56,plain,
leq(multiplication(star(X1),star(X1)),star(X1)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_36]),c_0_51]) ).
cnf(c_0_57,plain,
multiplication(star(X1),star(star(X1))) = star(star(X1)),
inference(spm,[status(thm)],[c_0_52,c_0_47]) ).
cnf(c_0_58,plain,
leq(addition(X1,one),star(X1)) = true,
inference(spm,[status(thm)],[c_0_53,c_0_45]) ).
cnf(c_0_59,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_60,plain,
multiplication(star(X1),addition(X1,addition(one,X2))) = multiplication(star(X1),addition(X2,one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_49]),c_0_37]),c_0_20]) ).
cnf(c_0_61,plain,
leq(star(addition(X1,one)),star(X1)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_49]),c_0_47]),c_0_50]),c_0_51]) ).
cnf(c_0_62,plain,
ifeq2(leq(X1,X2),true,addition(X2,X1),X2) = X2,
inference(spm,[status(thm)],[c_0_32,c_0_26]) ).
cnf(c_0_63,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_55,c_0_56]),c_0_57]),c_0_57]),c_0_51]) ).
cnf(c_0_64,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_58]),c_0_20]),c_0_47]),c_0_34]) ).
cnf(c_0_65,axiom,
ifeq(leq(X1,addition(multiplication(X2,X1),X3)),true,leq(X1,multiplication(strong_iteration(X2),X3)),true) = true,
infty_coinduction ).
cnf(c_0_66,plain,
addition(one,addition(multiplication(X1,star(X1)),X2)) = addition(star(X1),X2),
inference(spm,[status(thm)],[c_0_20,c_0_28]) ).
cnf(c_0_67,axiom,
ifeq(leq(addition(multiplication(X1,X2),X3),X2),true,leq(multiplication(star(X1),X3),X2),true) = true,
star_induction1 ).
cnf(c_0_68,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_59,c_0_21]) ).
cnf(c_0_69,plain,
multiplication(star(X1),addition(X1,star(X2))) = multiplication(star(X1),star(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_47]),c_0_26]),c_0_47]) ).
cnf(c_0_70,plain,
addition(star(X1),star(addition(X1,one))) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_61]),c_0_34]),c_0_26]) ).
cnf(c_0_71,plain,
star(star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_34]) ).
cnf(c_0_72,plain,
multiplication(star(X1),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_56]),c_0_37]),c_0_26]),c_0_47]),c_0_34]) ).
cnf(c_0_73,plain,
leq(X1,addition(X2,addition(X1,X3))) = true,
inference(spm,[status(thm)],[c_0_25,c_0_59]) ).
cnf(c_0_74,plain,
ifeq(leq(X1,addition(X2,multiplication(X3,X1))),true,leq(X1,multiplication(strong_iteration(X3),X2)),true) = true,
inference(spm,[status(thm)],[c_0_65,c_0_26]) ).
cnf(c_0_75,plain,
addition(one,multiplication(addition(X1,X2),star(X1))) = multiplication(addition(X2,one),star(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_35]),c_0_40]) ).
cnf(c_0_76,plain,
leq(X1,multiplication(addition(X2,one),X1)) = true,
inference(spm,[status(thm)],[c_0_25,c_0_40]) ).
cnf(c_0_77,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_67,c_0_35]) ).
cnf(c_0_78,plain,
multiplication(addition(X1,one),star(addition(X1,one))) = star(addition(X1,one)),
inference(spm,[status(thm)],[c_0_52,c_0_68]) ).
cnf(c_0_79,plain,
multiplication(star(X1),star(addition(X1,one))) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),c_0_72]),c_0_71]) ).
cnf(c_0_80,plain,
multiplication(star(X1),addition(one,X1)) = star(X1),
inference(spm,[status(thm)],[c_0_49,c_0_26]) ).
cnf(c_0_81,plain,
leq(X1,addition(X2,star(X1))) = true,
inference(spm,[status(thm)],[c_0_73,c_0_64]) ).
cnf(c_0_82,plain,
leq(star(X1),strong_iteration(addition(X1,X2))) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_30]),c_0_51]) ).
cnf(c_0_83,plain,
leq(star(X1),star(addition(X1,one))) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_50]),c_0_36]),c_0_79]),c_0_51]) ).
cnf(c_0_84,axiom,
strong_iteration(X1) = addition(multiplication(X1,strong_iteration(X1)),one),
infty_unfold1 ).
cnf(c_0_85,plain,
multiplication(star(X1),addition(X2,addition(one,X1))) = multiplication(star(X1),addition(X2,one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_80]),c_0_26]),c_0_37]) ).
cnf(c_0_86,plain,
addition(X1,addition(X2,addition(X3,X1))) = addition(X3,addition(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_23]),c_0_20]) ).
cnf(c_0_87,plain,
multiplication(star(addition(X1,X2)),addition(X1,addition(X2,one))) = star(addition(X1,X2)),
inference(spm,[status(thm)],[c_0_49,c_0_20]) ).
cnf(c_0_88,plain,
leq(X1,addition(star(X1),X2)) = true,
inference(spm,[status(thm)],[c_0_81,c_0_26]) ).
cnf(c_0_89,plain,
addition(star(X1),strong_iteration(addition(X1,X2))) = strong_iteration(addition(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_82]),c_0_34]) ).
cnf(c_0_90,plain,
star(addition(X1,one)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_83]),c_0_70]),c_0_34]) ).
cnf(c_0_91,plain,
addition(one,multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
inference(rw,[status(thm)],[c_0_84,c_0_26]) ).
cnf(c_0_92,plain,
multiplication(star(addition(X1,X2)),addition(X2,one)) = star(addition(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
cnf(c_0_93,plain,
leq(X1,strong_iteration(addition(X1,X2))) = true,
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_94,plain,
star(addition(one,X1)) = star(X1),
inference(spm,[status(thm)],[c_0_90,c_0_26]) ).
cnf(c_0_95,plain,
addition(one,strong_iteration(X1)) = strong_iteration(X1),
inference(spm,[status(thm)],[c_0_23,c_0_91]) ).
cnf(c_0_96,plain,
leq(star(X1),star(addition(X2,X1))) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_92]),c_0_47]),c_0_50]),c_0_90]),c_0_51]) ).
cnf(c_0_97,plain,
leq(X1,strong_iteration(multiplication(addition(X2,one),X1))) = true,
inference(spm,[status(thm)],[c_0_93,c_0_40]) ).
cnf(c_0_98,plain,
star(multiplication(X1,strong_iteration(X1))) = star(strong_iteration(X1)),
inference(spm,[status(thm)],[c_0_94,c_0_91]) ).
cnf(c_0_99,plain,
multiplication(strong_iteration(X1),star(strong_iteration(X1))) = star(strong_iteration(X1)),
inference(spm,[status(thm)],[c_0_52,c_0_95]) ).
cnf(c_0_100,plain,
leq(star(X1),star(addition(X1,X2))) = true,
inference(spm,[status(thm)],[c_0_96,c_0_26]) ).
cnf(c_0_101,plain,
leq(X1,strong_iteration(multiplication(addition(one,X2),X1))) = true,
inference(spm,[status(thm)],[c_0_97,c_0_26]) ).
cnf(c_0_102,plain,
addition(one,multiplication(X1,star(strong_iteration(X1)))) = star(strong_iteration(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_98]),c_0_43]),c_0_99]) ).
cnf(c_0_103,plain,
leq(X1,multiplication(addition(one,X2),X1)) = true,
inference(spm,[status(thm)],[c_0_76,c_0_26]) ).
cnf(c_0_104,plain,
multiplication(addition(X1,addition(one,X2)),star(addition(X2,X1))) = star(addition(X2,X1)),
inference(spm,[status(thm)],[c_0_52,c_0_59]) ).
cnf(c_0_105,plain,
addition(star(X1),star(addition(X1,X2))) = star(addition(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_100]),c_0_34]) ).
cnf(c_0_106,plain,
multiplication(addition(star(X1),X2),star(X1)) = multiplication(addition(X2,one),star(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_72]),c_0_40]) ).
cnf(c_0_107,plain,
leq(X1,strong_iteration(multiplication(star(X2),X1))) = true,
inference(spm,[status(thm)],[c_0_101,c_0_47]) ).
cnf(c_0_108,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_74,c_0_102]),c_0_50]),c_0_30]),c_0_51]) ).
cnf(c_0_109,negated_conjecture,
tuple(leq(multiplication(star(sK1_goals_X1),strong_iteration(multiplication(star(sK2_goals_X0),sK1_goals_X1))),strong_iteration(multiplication(star(sK2_goals_X0),sK1_goals_X1))),leq(strong_iteration(multiplication(star(sK4_goals_X0),sK3_goals_X1)),multiplication(star(sK3_goals_X1),strong_iteration(multiplication(star(sK4_goals_X0),sK3_goals_X1))))) != tuple(true,true),
goals ).
cnf(c_0_110,plain,
leq(X1,multiplication(star(X2),X1)) = true,
inference(spm,[status(thm)],[c_0_103,c_0_47]) ).
cnf(c_0_111,plain,
multiplication(star(X1),star(addition(X1,X2))) = star(addition(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(spm,[status(thm)],[c_0_104,c_0_105]),c_0_47]),c_0_71]),c_0_106]),c_0_26]),c_0_47]),c_0_71]) ).
cnf(c_0_112,plain,
addition(X1,strong_iteration(multiplication(star(X2),X1))) = strong_iteration(multiplication(star(X2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_107]),c_0_34]) ).
cnf(c_0_113,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_108]),c_0_26]),c_0_64]),c_0_34]) ).
cnf(c_0_114,negated_conjecture,
tuple(leq(multiplication(star(sK1_goals_X1),strong_iteration(multiplication(star(sK2_goals_X0),sK1_goals_X1))),strong_iteration(multiplication(star(sK2_goals_X0),sK1_goals_X1))),true) != tuple(true,true),
inference(rw,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_115,plain,
multiplication(star(X1),strong_iteration(multiplication(star(X2),X1))) = strong_iteration(multiplication(star(X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),c_0_113]) ).
cnf(c_0_116,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_115]),c_0_50])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KLE147-10 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n016.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 20:33:06 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 52.18/39.18 % Version : CSE_E---1.7
% 52.18/39.18 % Problem : theBenchmark.p
% 52.18/39.18 % SZS status Unsatisfiable for theBenchmark.p
% 52.18/39.18 % SZS output start CNFRefutation
% See solution above
% 52.37/39.37 % Total time : 30.733s
%------------------------------------------------------------------------------