%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : KLE170+1.006 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:44:28 AM UTC 2026
% Result : Theorem 242.59s 32.46s
% Output : CNFRefutation 242.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 12
% Syntax : Number of formulae : 123 ( 113 unt; 0 def)
% Number of atoms : 133 ( 90 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 8 |; 0 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 217 ( 13 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A),
file('theBenchmark.p',additive_commutativity) ).
fof(additive_associativity,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C),
file('theBenchmark.p',additive_associativity) ).
fof(additive_idempotence,axiom,
! [A] : addition(A,A) = A,
file('theBenchmark.p',additive_idempotence) ).
fof(multiplicative_associativity,axiom,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
file('theBenchmark.p',multiplicative_associativity) ).
fof(multiplicative_right_identity,axiom,
! [A] : multiplication(A,one) = A,
file('theBenchmark.p',multiplicative_right_identity) ).
fof(multiplicative_left_identity,axiom,
! [A] : multiplication(one,A) = A,
file('theBenchmark.p',multiplicative_left_identity) ).
fof(right_distributivity,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
file('theBenchmark.p',right_distributivity) ).
fof(left_distributivity,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
file('theBenchmark.p',left_distributivity) ).
fof(order,axiom,
! [A,B] :
( leq(A,B)
<=> addition(A,B) = B ),
file('theBenchmark.p',order) ).
fof(star_unfold_right,axiom,
! [A] : leq(addition(one,multiplication(A,star(A))),star(A)),
file('theBenchmark.p',star_unfold_right) ).
fof(star_induction_left,axiom,
! [A,B,C] :
( leq(addition(multiplication(A,B),C),B)
=> leq(multiplication(star(A),C),B) ),
file('theBenchmark.p',star_induction_left) ).
fof(a,conjecture,
leq(multiplication(a,multiplication(a,multiplication(a,multiplication(a,multiplication(a,a))))),star(a)),
file('theBenchmark.p',a) ).
fof(a_neg,negated_conjecture,
~ leq(multiplication(a,multiplication(a,multiplication(a,multiplication(a,multiplication(a,a))))),star(a)),
inference(assume_negation,[status(cth)],[a]) ).
cnf(c_18,plain,
addition(A,B) = addition(B,A),
inference(clausify,[status(thm)],[additive_commutativity]) ).
cnf(c_19,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(clausify,[status(thm)],[additive_associativity]) ).
cnf(c_21,plain,
addition(A,A) = A,
inference(clausify,[status(thm)],[additive_idempotence]) ).
cnf(c_22,plain,
multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)),
inference(clausify,[status(thm)],[multiplicative_associativity]) ).
cnf(c_23,plain,
multiplication(A,one) = A,
inference(clausify,[status(thm)],[multiplicative_right_identity]) ).
cnf(c_24,plain,
multiplication(one,A) = A,
inference(clausify,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_25,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(clausify,[status(thm)],[right_distributivity]) ).
cnf(c_26,plain,
addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)),
inference(copy,[status(thm)],[c_25]) ).
cnf(c_27,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(clausify,[status(thm)],[left_distributivity]) ).
cnf(c_28,plain,
addition(multiplication(A,B),multiplication(C,B)) = multiplication(addition(A,C),B),
inference(copy,[status(thm)],[c_27]) ).
cnf(c_31,plain,
( addition(A,B) = B
| ~ leq(A,B) ),
inference(clausify,[status(thm)],[order]) ).
cnf(c_32,plain,
( addition(A,B) != B
| leq(A,B) ),
inference(clausify,[status(thm)],[order]) ).
cnf(c_33,plain,
leq(addition(one,multiplication(A,star(A))),star(A)),
inference(clausify,[status(thm)],[star_unfold_right]) ).
cnf(c_35,plain,
( leq(multiplication(star(A),C),B)
| ~ leq(addition(multiplication(A,B),C),B) ),
inference(clausify,[status(thm)],[star_induction_left]) ).
cnf(c_37,negated_conjecture,
~ leq(multiplication(a,multiplication(a,multiplication(a,multiplication(a,multiplication(a,a))))),star(a)),
inference(clausify,[status(thm)],[a_neg]) ).
cnf(c_49372,plain,
addition(addition(A,B),C) = addition(B,addition(A,C)),
inference(paramod,[status(thm)],[c_18,c_19]) ).
cnf(c_39,plain,
addition(A,addition(B,C)) = addition(B,addition(A,C)),
inference(paramod,[status(thm)],[c_19,c_49372]) ).
cnf(c_49373,plain,
addition(A,B) = addition(A,addition(A,B)),
inference(paramod,[status(thm)],[c_21,c_19]) ).
cnf(c_41,plain,
addition(A,addition(A,B)) = addition(A,B),
inference(copy,[status(thm)],[c_49373]) ).
cnf(c_49374,plain,
addition(addition(A,B),B) = addition(A,B),
inference(paramod,[status(thm)],[c_21,c_19]) ).
cnf(c_43,plain,
addition(A,addition(B,A)) = addition(B,A),
inference(paramod,[status(thm)],[c_18,c_49374]) ).
cnf(c_44,plain,
addition(multiplication(A,addition(B,C)),D) = addition(multiplication(A,B),addition(multiplication(A,C),D)),
inference(paramod,[status(thm)],[c_26,c_19]) ).
cnf(c_49375,plain,
addition(A,multiplication(A,B)) = multiplication(A,addition(one,B)),
inference(paramod,[status(thm)],[c_23,c_26]) ).
cnf(c_45,plain,
multiplication(A,addition(one,B)) = addition(A,multiplication(A,B)),
inference(copy,[status(thm)],[c_49375]) ).
cnf(c_47,plain,
addition(multiplication(addition(A,B),C),D) = addition(multiplication(A,C),addition(multiplication(B,C),D)),
inference(paramod,[status(thm)],[c_28,c_19]) ).
cnf(c_48,plain,
addition(multiplication(A,multiplication(B,C)),multiplication(D,C)) = multiplication(addition(multiplication(A,B),D),C),
inference(paramod,[status(thm)],[c_22,c_28]) ).
cnf(c_49376,plain,
addition(A,multiplication(B,A)) = multiplication(addition(one,B),A),
inference(paramod,[status(thm)],[c_24,c_28]) ).
cnf(c_50,plain,
multiplication(addition(one,A),B) = addition(B,multiplication(A,B)),
inference(copy,[status(thm)],[c_49376]) ).
cnf(c_49377,plain,
addition(multiplication(A,B),B) = multiplication(addition(A,one),B),
inference(paramod,[status(thm)],[c_24,c_28]) ).
cnf(c_49378,plain,
addition(B,multiplication(A,B)) = multiplication(addition(A,one),B),
inference(paramod,[status(thm)],[c_18,c_49377]) ).
cnf(c_51,plain,
multiplication(addition(A,one),B) = addition(B,multiplication(A,B)),
inference(copy,[status(thm)],[c_49378]) ).
cnf(c_56,plain,
( multiplication(A,addition(B,C)) != multiplication(A,C)
| leq(multiplication(A,B),multiplication(A,C)) ),
inference(paramod,[status(thm)],[c_26,c_32]) ).
cnf(c_49379,plain,
addition(addition(one,multiplication(A,star(A))),star(A)) = star(A),
inference(resolve,[status(thm)],[c_31,c_33]) ).
cnf(c_49380,plain,
addition(star(A),addition(one,multiplication(A,star(A)))) = star(A),
inference(paramod,[status(thm)],[c_18,c_49379]) ).
cnf(c_49381,plain,
addition(one,addition(star(A),multiplication(A,star(A)))) = star(A),
inference(paramod,[status(thm)],[c_39,c_49380]) ).
cnf(c_58,plain,
addition(one,multiplication(addition(one,A),star(A))) = star(A),
inference(paramod,[status(thm)],[c_50,c_49381]) ).
cnf(c_63,plain,
( leq(multiplication(star(B),A),C)
| ~ leq(addition(A,multiplication(B,C)),C) ),
inference(paramod,[status(thm)],[c_18,c_35]) ).
cnf(c_91,plain,
leq(A,addition(A,B)),
inference(resolve,[status(thm)],[c_32,c_41]) ).
cnf(c_97,plain,
leq(addition(A,B),addition(A,addition(B,C))),
inference(paramod,[status(thm)],[c_19,c_91]) ).
cnf(c_100,plain,
leq(A,addition(B,addition(A,C))),
inference(paramod,[status(thm)],[c_39,c_91]) ).
cnf(c_297,plain,
addition(A,multiplication(addition(one,B),A)) = addition(A,multiplication(B,A)),
inference(paramod,[status(thm)],[c_50,c_41]) ).
cnf(c_49382,plain,
multiplication(A,addition(one,A)) = multiplication(addition(one,A),A),
inference(paramod,[status(thm)],[c_50,c_45]) ).
cnf(c_303,plain,
multiplication(addition(one,A),A) = multiplication(A,addition(one,A)),
inference(copy,[status(thm)],[c_49382]) ).
cnf(c_488,plain,
addition(one,multiplication(addition(A,one),star(A))) = star(A),
inference(paramod,[status(thm)],[c_18,c_58]) ).
cnf(c_49383,plain,
addition(A,star(B)) = addition(one,addition(A,multiplication(addition(one,B),star(B)))),
inference(paramod,[status(thm)],[c_58,c_39]) ).
cnf(c_493,plain,
addition(one,addition(A,multiplication(addition(one,B),star(B)))) = addition(A,star(B)),
inference(copy,[status(thm)],[c_49383]) ).
cnf(c_49384,plain,
addition(one,star(A)) = addition(one,multiplication(addition(one,A),star(A))),
inference(paramod,[status(thm)],[c_58,c_41]) ).
cnf(c_495,plain,
addition(one,star(A)) = star(A),
inference(paramod,[status(thm)],[c_58,c_49384]) ).
cnf(c_49385,plain,
addition(multiplication(addition(one,A),star(A)),star(A)) = addition(one,multiplication(addition(one,A),star(A))),
inference(paramod,[status(thm)],[c_58,c_43]) ).
cnf(c_49386,plain,
addition(star(A),multiplication(addition(one,A),star(A))) = addition(one,multiplication(addition(one,A),star(A))),
inference(paramod,[status(thm)],[c_18,c_49385]) ).
cnf(c_49387,plain,
addition(star(A),multiplication(A,star(A))) = addition(one,multiplication(addition(one,A),star(A))),
inference(paramod,[status(thm)],[c_297,c_49386]) ).
cnf(c_49388,plain,
multiplication(addition(one,A),star(A)) = addition(one,multiplication(addition(one,A),star(A))),
inference(paramod,[status(thm)],[c_50,c_49387]) ).
cnf(c_499,plain,
multiplication(addition(one,A),star(A)) = star(A),
inference(paramod,[status(thm)],[c_58,c_49388]) ).
cnf(c_501,plain,
leq(one,addition(A,star(B))),
inference(paramod,[status(thm)],[c_58,c_100]) ).
cnf(c_513,plain,
leq(addition(A,one),addition(A,star(B))),
inference(paramod,[status(thm)],[c_58,c_97]) ).
cnf(c_515,plain,
addition(one,addition(A,star(B))) = addition(A,star(B)),
inference(paramod,[status(thm)],[c_499,c_493]) ).
cnf(c_516,plain,
leq(one,addition(star(A),B)),
inference(paramod,[status(thm)],[c_18,c_501]) ).
cnf(c_538,plain,
leq(one,multiplication(addition(A,one),star(B))),
inference(paramod,[status(thm)],[c_51,c_516]) ).
cnf(c_563,plain,
leq(addition(A,one),addition(star(B),A)),
inference(paramod,[status(thm)],[c_18,c_513]) ).
cnf(c_569,plain,
( leq(multiplication(star(multiplication(B,C)),A),D)
| ~ leq(addition(A,multiplication(B,multiplication(C,D))),D) ),
inference(paramod,[status(thm)],[c_22,c_63]) ).
cnf(c_617,plain,
addition(one,multiplication(addition(A,one),star(B))) = multiplication(addition(A,one),star(B)),
inference(resolve,[status(thm)],[c_31,c_538]) ).
cnf(c_620,plain,
multiplication(addition(A,one),star(A)) = star(A),
inference(paramod,[status(thm)],[c_617,c_488]) ).
cnf(c_49389,plain,
leq(addition(multiplication(A,star(B)),one),multiplication(addition(one,A),star(B))),
inference(paramod,[status(thm)],[c_50,c_563]) ).
cnf(c_646,plain,
leq(addition(one,multiplication(A,star(B))),multiplication(addition(one,A),star(B))),
inference(paramod,[status(thm)],[c_18,c_49389]) ).
cnf(c_49390,plain,
multiplication(addition(one,A),addition(one,star(A))) = addition(addition(one,A),star(A)),
inference(paramod,[status(thm)],[c_499,c_45]) ).
cnf(c_49391,plain,
multiplication(addition(one,A),star(A)) = addition(addition(one,A),star(A)),
inference(paramod,[status(thm)],[c_495,c_49390]) ).
cnf(c_49392,plain,
star(A) = addition(addition(one,A),star(A)),
inference(paramod,[status(thm)],[c_499,c_49391]) ).
cnf(c_49393,plain,
star(A) = addition(one,addition(A,star(A))),
inference(paramod,[status(thm)],[c_19,c_49392]) ).
cnf(c_49394,plain,
star(A) = addition(A,star(A)),
inference(paramod,[status(thm)],[c_515,c_49393]) ).
cnf(c_1005,plain,
addition(A,star(A)) = star(A),
inference(copy,[status(thm)],[c_49394]) ).
cnf(c_49395,plain,
addition(multiplication(A,star(B)),multiplication(C,star(B))) = multiplication(addition(multiplication(A,addition(one,B)),C),star(B)),
inference(paramod,[status(thm)],[c_499,c_48]) ).
cnf(c_49396,plain,
multiplication(addition(A,C),star(B)) = multiplication(addition(multiplication(A,addition(one,B)),C),star(B)),
inference(paramod,[status(thm)],[c_28,c_49395]) ).
cnf(c_49397,plain,
multiplication(addition(A,C),star(B)) = multiplication(addition(multiplication(A,one),addition(multiplication(A,B),C)),star(B)),
inference(paramod,[status(thm)],[c_44,c_49396]) ).
cnf(c_49398,plain,
multiplication(addition(A,C),star(B)) = multiplication(addition(A,addition(multiplication(A,B),C)),star(B)),
inference(paramod,[status(thm)],[c_23,c_49397]) ).
cnf(c_1006,plain,
multiplication(addition(A,addition(multiplication(A,B),C)),star(B)) = multiplication(addition(A,C),star(B)),
inference(copy,[status(thm)],[c_49398]) ).
cnf(c_49399,plain,
addition(A,star(B)) = addition(B,addition(A,star(B))),
inference(paramod,[status(thm)],[c_1005,c_39]) ).
cnf(c_1047,plain,
addition(A,addition(B,star(A))) = addition(B,star(A)),
inference(copy,[status(thm)],[c_49399]) ).
cnf(c_49400,plain,
( multiplication(A,star(B)) != multiplication(A,star(B))
| leq(multiplication(A,B),multiplication(A,star(B))) ),
inference(paramod,[status(thm)],[c_1005,c_56]) ).
cnf(c_1055,plain,
leq(multiplication(A,B),multiplication(A,star(B))),
inference(copy,[status(thm)],[c_49400]) ).
cnf(c_49401,plain,
leq(multiplication(addition(one,A),A),star(A)),
inference(paramod,[status(thm)],[c_499,c_1055]) ).
cnf(c_1257,plain,
leq(multiplication(A,addition(one,A)),star(A)),
inference(paramod,[status(thm)],[c_303,c_49401]) ).
cnf(c_49402,plain,
addition(multiplication(A,addition(one,A)),star(A)) = star(A),
inference(resolve,[status(thm)],[c_31,c_1257]) ).
cnf(c_49403,plain,
addition(multiplication(A,one),addition(multiplication(A,A),star(A))) = star(A),
inference(paramod,[status(thm)],[c_44,c_49402]) ).
cnf(c_49404,plain,
addition(A,addition(multiplication(A,A),star(A))) = star(A),
inference(paramod,[status(thm)],[c_23,c_49403]) ).
cnf(c_1521,plain,
addition(multiplication(A,A),star(A)) = star(A),
inference(paramod,[status(thm)],[c_1047,c_49404]) ).
cnf(c_49405,plain,
addition(star(A),multiplication(B,star(A))) = multiplication(addition(addition(A,one),B),star(A)),
inference(paramod,[status(thm)],[c_620,c_28]) ).
cnf(c_49406,plain,
multiplication(addition(one,B),star(A)) = multiplication(addition(addition(A,one),B),star(A)),
inference(paramod,[status(thm)],[c_50,c_49405]) ).
cnf(c_49407,plain,
multiplication(addition(one,B),star(A)) = multiplication(addition(A,addition(one,B)),star(A)),
inference(paramod,[status(thm)],[c_19,c_49406]) ).
cnf(c_1735,plain,
multiplication(addition(A,addition(one,B)),star(A)) = multiplication(addition(one,B),star(A)),
inference(copy,[status(thm)],[c_49407]) ).
cnf(c_49408,plain,
( multiplication(A,star(B)) != multiplication(A,star(B))
| leq(multiplication(A,multiplication(B,B)),multiplication(A,star(B))) ),
inference(paramod,[status(thm)],[c_1521,c_56]) ).
cnf(c_2047,plain,
leq(multiplication(A,multiplication(B,B)),multiplication(A,star(B))),
inference(copy,[status(thm)],[c_49408]) ).
cnf(c_8725,plain,
leq(multiplication(addition(A,one),multiplication(A,A)),star(A)),
inference(paramod,[status(thm)],[c_620,c_2047]) ).
cnf(c_49409,plain,
addition(multiplication(addition(A,one),multiplication(A,A)),star(A)) = star(A),
inference(resolve,[status(thm)],[c_31,c_8725]) ).
cnf(c_49410,plain,
addition(multiplication(A,multiplication(A,A)),addition(multiplication(one,multiplication(A,A)),star(A))) = star(A),
inference(paramod,[status(thm)],[c_47,c_49409]) ).
cnf(c_49411,plain,
addition(multiplication(A,multiplication(A,A)),addition(multiplication(A,A),star(A))) = star(A),
inference(paramod,[status(thm)],[c_24,c_49410]) ).
cnf(c_14980,plain,
addition(multiplication(A,multiplication(A,A)),star(A)) = star(A),
inference(paramod,[status(thm)],[c_1521,c_49411]) ).
cnf(c_32404,plain,
leq(multiplication(A,multiplication(A,A)),addition(B,star(A))),
inference(paramod,[status(thm)],[c_14980,c_100]) ).
cnf(c_49412,plain,
multiplication(addition(A,addition(multiplication(A,A),one)),star(A)) = star(A),
inference(paramod,[status(thm)],[c_620,c_1006]) ).
cnf(c_49413,plain,
multiplication(addition(A,addition(one,multiplication(A,A))),star(A)) = star(A),
inference(paramod,[status(thm)],[c_18,c_49412]) ).
cnf(c_49013,plain,
multiplication(addition(one,multiplication(A,A)),star(A)) = star(A),
inference(paramod,[status(thm)],[c_1735,c_49413]) ).
cnf(c_49414,plain,
leq(addition(one,multiplication(multiplication(A,A),star(A))),star(A)),
inference(paramod,[status(thm)],[c_49013,c_646]) ).
cnf(c_49100,plain,
leq(addition(one,multiplication(A,multiplication(A,star(A)))),star(A)),
inference(paramod,[status(thm)],[c_22,c_49414]) ).
cnf(c_49415,plain,
leq(multiplication(star(multiplication(A,A)),one),star(A)),
inference(resolve,[status(thm)],[c_569,c_49100]) ).
cnf(c_49249,plain,
leq(star(multiplication(A,A)),star(A)),
inference(paramod,[status(thm)],[c_23,c_49415]) ).
cnf(c_49416,plain,
addition(star(multiplication(A,A)),star(A)) = star(A),
inference(resolve,[status(thm)],[c_31,c_49249]) ).
cnf(c_49250,plain,
addition(star(A),star(multiplication(A,A))) = star(A),
inference(paramod,[status(thm)],[c_18,c_49416]) ).
cnf(c_49417,plain,
leq(multiplication(multiplication(A,A),multiplication(multiplication(A,A),multiplication(A,A))),star(A)),
inference(paramod,[status(thm)],[c_49250,c_32404]) ).
cnf(c_49418,plain,
leq(multiplication(multiplication(A,A),multiplication(A,multiplication(A,multiplication(A,A)))),star(A)),
inference(paramod,[status(thm)],[c_22,c_49417]) ).
cnf(c_49370,plain,
leq(multiplication(A,multiplication(A,multiplication(A,multiplication(A,multiplication(A,A))))),star(A)),
inference(paramod,[status(thm)],[c_22,c_49418]) ).
cnf(c_49371,plain,
$false,
inference(resolve,[status(thm)],[c_49370,c_37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE170+1.006 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n019.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Fri Sep 25 19:30:33 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.35 % Process 3476906 was started by sandbox2 on n019,
% 0.09/0.35 % Fri Sep 25 19:30:33 2026
% 0.09/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.36
% 0.09/0.36 % From the command line: assign(max_seconds, 300).
% 242.59/32.46
% 242.59/32.46 % given #500 (T,wt=10): 4333 leq(multiplication(A,B),star(multiplication(A,addition(C,B)))). [para(26(a,1),4318(a,2,1))].
% 242.59/32.46
% 242.59/32.46 % given #1000 (T,wt=11): 2327 leq(A,multiplication(A,multiplication(addition(B,one),addition(C,one)))). [para(46(a,2),1816(a,2,1)),rewrite([22(6)])].
% 242.59/32.46
% 242.59/32.46 % given #1500 (T,wt=11): 12339 leq(A,star(addition(B,multiplication(addition(star(C),D),A)))). [para(85(a,1),12294(a,2,1))].
% 242.59/32.46
% 242.59/32.46 % given #2000 (T,wt=11): 25612 leq(addition(one,multiplication(A,A)),star(addition(B,star(A)))). [para(4330(a,1),14121(a,2))].
% 242.59/32.46
% 242.59/32.46 % given #2500 (T,wt=11): 44682 leq(A,addition(star(multiplication(star(B),addition(A,one))),C)). [para(46(a,2),38166(a,2,1,1))].
% 242.59/32.46
% 242.59/32.46 % SZS status Theorem for theBenchmark
% 242.59/32.46
% 242.59/32.46 % Proof 1 at 23.90 (+ 7.96) seconds.
% 242.59/32.46 % Length of proof is 75.
% 242.59/32.46 % Level of proof is 16.
% 242.59/32.46 % Maximum clause weight is 17.000.
% 242.59/32.46 % Given clauses 2624.
% 242.59/32.46
% 242.59/32.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------