%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KLE043+2 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n002.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 04:35:35 PM UTC 2026
% Result : Theorem 6.27s 4.59s
% Output : CNFRefutation 6.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 86 ( 55 unt; 0 def)
% Number of atoms : 119 ( 61 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 69 ( 36 ~; 27 |; 3 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 134 ( 4 sgn 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(star_induction_right,axiom,
! [X1,X2,X3] :
( leq(addition(multiplication(X1,X2),X3),X1)
=> leq(multiplication(X3,star(X2)),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_induction_right) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_left_identity) ).
fof(star_unfold_right,axiom,
! [X1] : leq(addition(one,multiplication(X1,star(X1))),star(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',left_annihilation) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_identity) ).
fof(order,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',order) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_commutativity) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_idempotence) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_associativity) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).
fof(goals,conjecture,
! [X4,X5] :
( leq(multiplication(star(X4),X5),addition(X5,multiplication(multiplication(X4,star(X4)),X5)))
& leq(addition(X5,multiplication(multiplication(X4,star(X4)),X5)),multiplication(star(X4),X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_associativity) ).
fof(star_induction_left,axiom,
! [X1,X2,X3] :
( leq(addition(multiplication(X1,X2),X3),X2)
=> leq(multiplication(star(X1),X3),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_induction_left) ).
fof(right_distributivity,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',right_distributivity) ).
fof(left_distributivity,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',left_distributivity) ).
fof(c_0_15,plain,
! [X65,X66,X67] :
( ~ leq(addition(multiplication(X65,X66),X67),X65)
| leq(multiplication(X67,star(X66)),X65) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction_right])]) ).
fof(c_0_16,plain,
! [X49] : multiplication(one,X49) = X49,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_17,plain,
( leq(multiplication(X3,star(X2)),X1)
| ~ leq(addition(multiplication(X1,X2),X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_19,plain,
! [X60] : leq(addition(one,multiplication(X60,star(X60))),star(X60)),
inference(variable_rename,[status(thm)],[star_unfold_right]) ).
fof(c_0_20,plain,
! [X57] : multiplication(zero,X57) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
fof(c_0_21,plain,
! [X43] : addition(X43,zero) = X43,
inference(variable_rename,[status(thm)],[additive_identity]) ).
fof(c_0_22,plain,
! [X58,X59] :
( ( ~ leq(X58,X59)
| addition(X58,X59) = X59 )
& ( addition(X58,X59) != X59
| leq(X58,X59) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])]) ).
cnf(c_0_23,plain,
( leq(multiplication(X1,star(X2)),one)
| ~ leq(addition(X2,X1),one) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_24,plain,
! [X38,X39] : addition(X38,X39) = addition(X39,X38),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
cnf(c_0_25,plain,
leq(addition(one,multiplication(X1,star(X1))),star(X1)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
( leq(star(X1),one)
| ~ leq(addition(X1,one),one) ),
inference(spm,[status(thm)],[c_0_23,c_0_18]) ).
cnf(c_0_30,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
leq(one,star(zero)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_32,plain,
( addition(one,star(X1)) = one
| ~ leq(addition(X1,one),one) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_33,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_27,c_0_30]) ).
cnf(c_0_34,plain,
addition(one,star(zero)) = star(zero),
inference(spm,[status(thm)],[c_0_28,c_0_31]) ).
fof(c_0_35,plain,
! [X44] : addition(X44,X44) = X44,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
fof(c_0_36,plain,
! [X40,X41,X42] : addition(X42,addition(X41,X40)) = addition(addition(X42,X41),X40),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
cnf(c_0_37,plain,
( star(zero) = one
| ~ leq(one,one) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_38,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_39,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_40,plain,
! [X48] : multiplication(X48,one) = X48,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
cnf(c_0_41,plain,
leq(addition(one,star(one)),star(one)),
inference(spm,[status(thm)],[c_0_25,c_0_18]) ).
cnf(c_0_42,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,plain,
star(zero) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).
cnf(c_0_44,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,plain,
addition(one,star(one)) = star(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_41]),c_0_42]),c_0_39]) ).
cnf(c_0_46,plain,
leq(one,one),
inference(rw,[status(thm)],[c_0_31,c_0_43]) ).
cnf(c_0_47,plain,
( leq(multiplication(X1,star(one)),X2)
| ~ leq(addition(X2,X1),X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_44]) ).
cnf(c_0_48,plain,
star(one) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_39]),c_0_45]),c_0_46])]) ).
cnf(c_0_49,plain,
( leq(X1,X2)
| ~ leq(addition(X2,X1),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48]),c_0_44]) ).
cnf(c_0_50,plain,
( leq(X1,X2)
| ~ leq(addition(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_30]) ).
cnf(c_0_51,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_42,c_0_39]) ).
fof(c_0_52,negated_conjecture,
~ ! [X4,X5] :
( leq(multiplication(star(X4),X5),addition(X5,multiplication(multiplication(X4,star(X4)),X5)))
& leq(addition(X5,multiplication(multiplication(X4,star(X4)),X5)),multiplication(star(X4),X5)) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_53,plain,
( leq(addition(X1,X2),X3)
| ~ leq(addition(X1,addition(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_42]) ).
cnf(c_0_54,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_51,c_0_30]) ).
fof(c_0_55,negated_conjecture,
( ~ leq(multiplication(star(esk1_0),esk2_0),addition(esk2_0,multiplication(multiplication(esk1_0,star(esk1_0)),esk2_0)))
| ~ leq(addition(esk2_0,multiplication(multiplication(esk1_0,star(esk1_0)),esk2_0)),multiplication(star(esk1_0),esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])]) ).
fof(c_0_56,plain,
! [X45,X46,X47] : multiplication(X45,multiplication(X46,X47)) = multiplication(multiplication(X45,X46),X47),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_57,plain,
( leq(addition(X1,X2),X1)
| ~ leq(addition(X2,X1),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_39]),c_0_42]),c_0_54]) ).
cnf(c_0_58,negated_conjecture,
( ~ leq(multiplication(star(esk1_0),esk2_0),addition(esk2_0,multiplication(multiplication(esk1_0,star(esk1_0)),esk2_0)))
| ~ leq(addition(esk2_0,multiplication(multiplication(esk1_0,star(esk1_0)),esk2_0)),multiplication(star(esk1_0),esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_59,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_60,plain,
( leq(addition(X1,X2),X1)
| addition(X2,X1) != X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_38]),c_0_42]),c_0_39]) ).
cnf(c_0_61,negated_conjecture,
( ~ leq(multiplication(star(esk1_0),esk2_0),addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_0),esk2_0))))
| ~ leq(addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_0),esk2_0))),multiplication(star(esk1_0),esk2_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59]),c_0_59]) ).
fof(c_0_62,plain,
! [X62,X63,X64] :
( ~ leq(addition(multiplication(X62,X63),X64),X63)
| leq(multiplication(star(X62),X64),X63) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction_left])]) ).
cnf(c_0_63,plain,
leq(X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_60]),c_0_39])]) ).
cnf(c_0_64,negated_conjecture,
( addition(addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_0),esk2_0))),multiplication(star(esk1_0),esk2_0)) != multiplication(star(esk1_0),esk2_0)
| ~ leq(multiplication(star(esk1_0),esk2_0),addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_0),esk2_0)))) ),
inference(spm,[status(thm)],[c_0_61,c_0_38]) ).
cnf(c_0_65,plain,
( leq(multiplication(star(X1),X3),X2)
| ~ leq(addition(multiplication(X1,X2),X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_66,plain,
! [X50,X51,X52] : multiplication(X50,addition(X51,X52)) = addition(multiplication(X50,X51),multiplication(X50,X52)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
cnf(c_0_67,plain,
leq(X1,addition(X1,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_63])]) ).
cnf(c_0_68,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_30,c_0_42]) ).
fof(c_0_69,plain,
! [X53,X54,X55] : multiplication(addition(X53,X54),X55) = addition(multiplication(X53,X55),multiplication(X54,X55)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
cnf(c_0_70,negated_conjecture,
( addition(multiplication(star(esk1_0),esk2_0),addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_0),esk2_0)))) != multiplication(star(esk1_0),esk2_0)
| ~ leq(multiplication(star(esk1_0),esk2_0),addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_0),esk2_0)))) ),
inference(rw,[status(thm)],[c_0_64,c_0_30]) ).
cnf(c_0_71,plain,
( leq(multiplication(star(X1),X2),X3)
| addition(multiplication(X1,X3),addition(X2,X3)) != X3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_38]),c_0_42]) ).
cnf(c_0_72,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_73,plain,
leq(X1,addition(X2,addition(X3,X1))),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,plain,
addition(one,addition(star(X1),multiplication(X1,star(X1)))) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_25]),c_0_42]),c_0_30]) ).
cnf(c_0_75,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_76,negated_conjecture,
( addition(esk2_0,multiplication(esk1_0,addition(multiplication(star(esk1_0),esk2_0),addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_0),esk2_0)))))) != addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_0),esk2_0)))
| addition(multiplication(star(esk1_0),esk2_0),addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_0),esk2_0)))) != multiplication(star(esk1_0),esk2_0) ),
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_71]),c_0_51]),c_0_30]),c_0_42]),c_0_72]) ).
cnf(c_0_77,plain,
leq(multiplication(X1,star(X1)),star(X1)),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_18]),c_0_30]) ).
cnf(c_0_79,negated_conjecture,
( addition(esk2_0,multiplication(esk1_0,addition(esk2_0,addition(multiplication(star(esk1_0),esk2_0),multiplication(esk1_0,multiplication(star(esk1_0),esk2_0)))))) != addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_0),esk2_0)))
| addition(esk2_0,addition(multiplication(star(esk1_0),esk2_0),multiplication(esk1_0,multiplication(star(esk1_0),esk2_0)))) != multiplication(star(esk1_0),esk2_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_68]),c_0_30]),c_0_68]),c_0_30]) ).
cnf(c_0_80,plain,
multiplication(addition(X1,one),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_77]),c_0_30]),c_0_78]) ).
cnf(c_0_81,negated_conjecture,
( addition(esk2_0,multiplication(esk1_0,addition(esk2_0,multiplication(addition(one,esk1_0),multiplication(star(esk1_0),esk2_0))))) != addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_0),esk2_0)))
| addition(esk2_0,multiplication(addition(one,esk1_0),multiplication(star(esk1_0),esk2_0))) != multiplication(star(esk1_0),esk2_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_78]),c_0_30]),c_0_78]),c_0_30]) ).
cnf(c_0_82,plain,
addition(X1,multiplication(X2,multiplication(X3,X1))) = multiplication(addition(one,multiplication(X2,X3)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_59]),c_0_30]) ).
cnf(c_0_83,plain,
multiplication(addition(one,X1),star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_80,c_0_30]) ).
cnf(c_0_84,plain,
addition(one,star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_51,c_0_74]) ).
cnf(c_0_85,negated_conjecture,
$false,
inference(cn,[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)],[c_0_81,c_0_82]),c_0_83]),c_0_84]),c_0_82]),c_0_82]),c_0_82]),c_0_83]),c_0_84])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE043+2 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n002.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 20:28:01 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 6.27/4.59 % Version : CSE_E---1.7
% 6.27/4.59 % Problem : theBenchmark.p
% 6.27/4.59 % SZS status Theorem for theBenchmark.p
% 6.27/4.59 % SZS output start CNFRefutation
% See solution above
% 6.38/4.61 % Total time : 3.373s
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