%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KLE041+1 : TPTP v9.2.1. Released v4.0.0.
% 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 : n023.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 29.33s 17.71s
% Output : CNFRefutation 29.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 13
% Syntax : Number of formulae : 95 ( 62 unt; 0 def)
% Number of atoms : 130 ( 60 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 67 ( 32 ~; 28 |; 2 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 141 ( 5 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',additive_commutativity) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',additive_associativity) ).
fof(star_induction_right,axiom,
! [X1,X2,X3] :
( leq(addition(multiplication(X1,X2),X3),X1)
=> leq(multiplication(X3,star(X2)),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_induction_right) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',additive_idempotence) ).
fof(order,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',order) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).
fof(star_induction_left,axiom,
! [X1,X2,X3] :
( leq(addition(multiplication(X1,X2),X3),X2)
=> leq(multiplication(star(X1),X3),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_induction_left) ).
fof(goals,conjecture,
! [X4,X5] :
( leq(X4,X5)
=> leq(star(X4),star(X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(star_unfold_left,axiom,
! [X1] : leq(addition(one,multiplication(star(X1),X1)),star(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_unfold_left) ).
fof(right_distributivity,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE002+0.ax',left_distributivity) ).
fof(c_0_13,plain,
! [X38,X39] : addition(X38,X39) = addition(X39,X38),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_14,plain,
! [X40,X41,X42] : addition(X42,addition(X41,X40)) = addition(addition(X42,X41),X40),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
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,
! [X48] : multiplication(X48,one) = X48,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
cnf(c_0_17,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_19,plain,
! [X44] : addition(X44,X44) = X44,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
cnf(c_0_20,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_21,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
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,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( leq(multiplication(X1,star(one)),X2)
| ~ leq(addition(X2,X1),X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
fof(c_0_28,plain,
! [X49] : multiplication(one,X49) = X49,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
fof(c_0_29,plain,
! [X60] : leq(addition(one,multiplication(X60,star(X60))),star(X60)),
inference(variable_rename,[status(thm)],[star_unfold_right]) ).
cnf(c_0_30,plain,
( leq(multiplication(X1,star(one)),X2)
| addition(X1,X2) != X2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_18]),c_0_27]) ).
cnf(c_0_31,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_32,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_33,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,plain,
leq(addition(one,multiplication(X1,star(X1))),star(X1)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
( leq(star(one),X1)
| addition(one,X1) != X1 ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_36,negated_conjecture,
~ ! [X4,X5] :
( leq(X4,X5)
=> leq(star(X4),star(X5)) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_37,plain,
( leq(multiplication(star(X1),X3),X2)
| ~ leq(addition(multiplication(X1,X2),X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_18,c_0_24]) ).
cnf(c_0_39,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_33,c_0_34]),c_0_18]),c_0_17]) ).
cnf(c_0_40,plain,
( addition(star(one),X1) = X1
| addition(one,X1) != X1 ),
inference(spm,[status(thm)],[c_0_33,c_0_35]) ).
fof(c_0_41,negated_conjecture,
( leq(esk1_0,esk2_0)
& ~ leq(star(esk1_0),star(esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
fof(c_0_42,plain,
! [X61] : leq(addition(one,multiplication(star(X61),X61)),star(X61)),
inference(variable_rename,[status(thm)],[star_unfold_left]) ).
cnf(c_0_43,plain,
( leq(multiplication(star(one),X1),X2)
| ~ leq(addition(X2,X1),X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_31]) ).
cnf(c_0_44,plain,
addition(one,star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
( addition(X1,star(one)) = X1
| addition(one,X1) != X1 ),
inference(spm,[status(thm)],[c_0_17,c_0_40]) ).
cnf(c_0_46,negated_conjecture,
leq(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
leq(addition(one,multiplication(star(X1),X1)),star(X1)),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_48,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_49,plain,
( leq(multiplication(star(one),X1),X2)
| ~ leq(addition(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_17]) ).
cnf(c_0_50,plain,
star(one) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_24])]) ).
cnf(c_0_51,negated_conjecture,
addition(esk1_0,esk2_0) = esk2_0,
inference(spm,[status(thm)],[c_0_33,c_0_46]) ).
cnf(c_0_52,plain,
addition(star(X1),addition(one,multiplication(star(X1),X1))) = star(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_47]),c_0_17]) ).
cnf(c_0_53,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_54,plain,
( leq(X1,X2)
| ~ leq(addition(X1,X2),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50]),c_0_31]) ).
cnf(c_0_55,negated_conjecture,
addition(esk1_0,addition(esk2_0,X1)) = addition(esk2_0,X1),
inference(spm,[status(thm)],[c_0_18,c_0_51]) ).
fof(c_0_56,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_57,plain,
addition(one,addition(star(X1),multiplication(star(X1),X1))) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_23]),c_0_17]) ).
cnf(c_0_58,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_21]),c_0_17]) ).
cnf(c_0_59,negated_conjecture,
( leq(esk1_0,addition(esk2_0,X1))
| ~ leq(addition(esk2_0,X1),addition(esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_61,plain,
addition(one,multiplication(star(X1),addition(X1,one))) = star(X1),
inference(rw,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_62,negated_conjecture,
leq(esk1_0,addition(esk2_0,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_26]),c_0_18]),c_0_27]),c_0_38])]) ).
cnf(c_0_63,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_31]),c_0_17]) ).
cnf(c_0_64,plain,
multiplication(star(X1),addition(X1,one)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_61]),c_0_17]),c_0_58]),c_0_18]),c_0_24]) ).
cnf(c_0_65,negated_conjecture,
leq(esk1_0,addition(X1,addition(esk2_0,X2))),
inference(spm,[status(thm)],[c_0_62,c_0_23]) ).
cnf(c_0_66,plain,
addition(X1,star(X1)) = star(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_63,c_0_64]),c_0_18]),c_0_44]),c_0_17]),c_0_44]),c_0_64]) ).
cnf(c_0_67,plain,
( leq(addition(X1,X2),X3)
| ~ leq(addition(X1,addition(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_54,c_0_18]) ).
cnf(c_0_68,negated_conjecture,
leq(esk1_0,addition(X1,star(esk2_0))),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,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_67,c_0_24]),c_0_18]),c_0_27]) ).
cnf(c_0_70,negated_conjecture,
leq(esk1_0,addition(star(esk2_0),X1)),
inference(spm,[status(thm)],[c_0_68,c_0_17]) ).
cnf(c_0_71,plain,
( leq(multiplication(star(X1),multiplication(X2,X3)),X3)
| ~ leq(multiplication(addition(X1,X2),X3),X3) ),
inference(spm,[status(thm)],[c_0_37,c_0_60]) ).
cnf(c_0_72,plain,
multiplication(star(addition(X1,X2)),addition(X1,addition(X2,one))) = star(addition(X1,X2)),
inference(spm,[status(thm)],[c_0_64,c_0_18]) ).
cnf(c_0_73,negated_conjecture,
addition(esk1_0,star(esk2_0)) = star(esk2_0),
inference(spm,[status(thm)],[c_0_55,c_0_66]) ).
cnf(c_0_74,plain,
( leq(addition(X1,X2),X1)
| addition(X2,X1) != X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_26]),c_0_18]),c_0_24]) ).
cnf(c_0_75,negated_conjecture,
leq(esk1_0,star(star(esk2_0))),
inference(spm,[status(thm)],[c_0_70,c_0_66]) ).
cnf(c_0_76,plain,
( leq(multiplication(star(X1),X2),X2)
| ~ leq(multiplication(addition(X1,one),X2),X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_31]) ).
cnf(c_0_77,negated_conjecture,
multiplication(star(star(esk2_0)),star(esk2_0)) = star(star(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_17]),c_0_44]),c_0_73]) ).
cnf(c_0_78,plain,
( leq(addition(X1,X2),X2)
| addition(X1,X2) != X2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_27]),c_0_18]),c_0_24]) ).
cnf(c_0_79,plain,
( leq(multiplication(star(X1),star(X2)),addition(X2,one))
| ~ leq(multiplication(addition(X1,star(X2)),addition(X2,one)),addition(X2,one)) ),
inference(spm,[status(thm)],[c_0_71,c_0_64]) ).
cnf(c_0_80,negated_conjecture,
addition(esk1_0,star(star(esk2_0))) = star(star(esk2_0)),
inference(spm,[status(thm)],[c_0_33,c_0_75]) ).
cnf(c_0_81,negated_conjecture,
( leq(star(star(esk2_0)),star(esk2_0))
| ~ leq(multiplication(star(esk2_0),star(esk2_0)),star(esk2_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_17]),c_0_44]) ).
cnf(c_0_82,plain,
( leq(multiplication(X1,star(X2)),X1)
| addition(X1,multiplication(X1,X2)) != X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_78]),c_0_17]) ).
cnf(c_0_83,plain,
multiplication(star(X1),addition(one,X1)) = star(X1),
inference(spm,[status(thm)],[c_0_64,c_0_17]) ).
cnf(c_0_84,negated_conjecture,
( leq(multiplication(star(esk1_0),star(star(esk2_0))),star(esk2_0))
| ~ leq(multiplication(star(star(esk2_0)),star(esk2_0)),star(esk2_0)) ),
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_79,c_0_80]),c_0_17]),c_0_44]),c_0_17]),c_0_44]),c_0_17]),c_0_44]) ).
cnf(c_0_85,negated_conjecture,
leq(star(star(esk2_0)),star(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_58]),c_0_17]),c_0_83])]) ).
cnf(c_0_86,negated_conjecture,
( leq(multiplication(star(esk1_0),star(star(esk2_0))),star(esk2_0))
| ~ leq(star(star(esk2_0)),star(esk2_0)) ),
inference(rw,[status(thm)],[c_0_84,c_0_77]) ).
cnf(c_0_87,negated_conjecture,
star(star(esk2_0)) = star(esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_85]),c_0_17]),c_0_66]) ).
cnf(c_0_88,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(one,X2),X1),
inference(spm,[status(thm)],[c_0_60,c_0_31]) ).
cnf(c_0_89,negated_conjecture,
leq(multiplication(star(esk1_0),star(esk2_0)),star(esk2_0)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_85])]),c_0_87]) ).
cnf(c_0_90,plain,
addition(X1,multiplication(star(X2),X1)) = multiplication(star(X2),X1),
inference(spm,[status(thm)],[c_0_88,c_0_44]) ).
cnf(c_0_91,negated_conjecture,
~ leq(star(esk1_0),star(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_92,negated_conjecture,
multiplication(star(esk1_0),star(esk2_0)) = star(esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_89]),c_0_17]),c_0_90]) ).
cnf(c_0_93,negated_conjecture,
addition(star(esk1_0),star(esk2_0)) != star(esk2_0),
inference(spm,[status(thm)],[c_0_91,c_0_26]) ).
cnf(c_0_94,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_92]),c_0_17]),c_0_44]),c_0_92]),c_0_93]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE041+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % 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
% 0.15/0.32 % Computer : n023.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 20:28:53 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 29.33/17.71 % Version : CSE_E---1.7
% 29.33/17.71 % Problem : theBenchmark.p
% 29.33/17.71 % SZS status Theorem for theBenchmark.p
% 29.33/17.71 % SZS output start CNFRefutation
% See solution above
% 29.43/17.83 % Total time : 13.400s
%------------------------------------------------------------------------------