%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : KLE045+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 07:44:11 AM UTC 2026
% Result : Theorem 122.58s 17.09s
% Output : CNFRefutation 122.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 14
% Syntax : Number of formulae : 123 ( 100 unt; 0 def)
% Number of atoms : 146 ( 73 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 64 ( 41 ~; 16 |; 2 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 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 : 180 ( 10 sgn 33 !; 3 ?)
% 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_unfold_left,axiom,
! [A] : leq(addition(one,multiplication(star(A),A)),star(A)),
file('theBenchmark.p',star_unfold_left) ).
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(star_induction_right,axiom,
! [A,B,C] :
( leq(addition(multiplication(A,B),C),A)
=> leq(multiplication(C,star(B)),A) ),
file('theBenchmark.p',star_induction_right) ).
fof(goals,conjecture,
! [X0,X1,X2] :
( leq(multiplication(X0,X2),multiplication(X2,X1))
=> leq(multiplication(star(X0),X2),multiplication(X2,star(X1))) ),
file('theBenchmark.p',goals) ).
fof(goals_neg,negated_conjecture,
~ ! [X0,X1,X2] :
( leq(multiplication(X0,X2),multiplication(X2,X1))
=> leq(multiplication(star(X0),X2),multiplication(X2,star(X1))) ),
inference(assume_negation,[status(cth)],[goals]) ).
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_34,plain,
leq(addition(one,multiplication(star(A),A)),star(A)),
inference(clausify,[status(thm)],[star_unfold_left]) ).
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_36,plain,
( leq(multiplication(C,star(B)),A)
| ~ leq(addition(multiplication(A,B),C),A) ),
inference(clausify,[status(thm)],[star_induction_right]) ).
fof(nnf_17,plain,
? [X0,X1,X2] :
( ~ leq(multiplication(star(X0),X2),multiplication(X2,star(X1)))
& leq(multiplication(X0,X2),multiplication(X2,X1)) ),
inference(fof_nnf,[status(thm)],[goals_neg]) ).
fof(sk_goals_neg,plain,
( ~ leq(multiplication(star(sK0),sK1),multiplication(sK1,star(sK2)))
& leq(multiplication(sK0,sK1),multiplication(sK1,sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK2),skolemize(X2,sK1)],[nnf_17]) ).
cnf(c_37,negated_conjecture,
leq(multiplication(sK0,sK1),multiplication(sK1,sK2)),
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_38,negated_conjecture,
~ leq(multiplication(star(sK0),sK1),multiplication(sK1,star(sK2))),
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_5377,plain,
addition(addition(A,B),C) = addition(addition(B,C),A),
inference(paramod,[status(thm)],[c_19,c_18]) ).
cnf(c_40,plain,
addition(addition(A,B),C) = addition(addition(C,A),B),
inference(copy,[status(thm)],[c_5377]) ).
cnf(c_5378,plain,
addition(A,B) = addition(A,addition(A,B)),
inference(paramod,[status(thm)],[c_21,c_19]) ).
cnf(c_49,plain,
addition(A,addition(A,B)) = addition(A,B),
inference(copy,[status(thm)],[c_5378]) ).
cnf(c_50,plain,
addition(addition(A,B),B) = addition(A,B),
inference(paramod,[status(thm)],[c_21,c_19]) ).
cnf(c_57,plain,
addition(addition(A,multiplication(B,C)),multiplication(B,D)) = addition(A,multiplication(B,addition(C,D))),
inference(paramod,[status(thm)],[c_26,c_19]) ).
cnf(c_63,plain,
addition(A,multiplication(A,B)) = multiplication(A,addition(one,B)),
inference(paramod,[status(thm)],[c_23,c_26]) ).
cnf(c_64,plain,
addition(multiplication(A,B),A) = multiplication(A,addition(B,one)),
inference(paramod,[status(thm)],[c_23,c_26]) ).
cnf(c_66,plain,
addition(addition(A,multiplication(B,C)),multiplication(D,C)) = addition(A,multiplication(addition(B,D),C)),
inference(paramod,[status(thm)],[c_28,c_19]) ).
cnf(c_70,plain,
addition(A,multiplication(B,A)) = multiplication(addition(one,B),A),
inference(paramod,[status(thm)],[c_24,c_28]) ).
cnf(c_71,plain,
addition(multiplication(A,B),B) = multiplication(addition(A,one),B),
inference(paramod,[status(thm)],[c_24,c_28]) ).
cnf(c_72,plain,
leq(A,A),
inference(resolve,[status(thm)],[c_32,c_21]) ).
cnf(c_73,plain,
( addition(B,A) != B
| leq(A,B) ),
inference(paramod,[status(thm)],[c_18,c_32]) ).
cnf(c_5379,plain,
addition(addition(one,multiplication(A,star(A))),star(A)) = star(A),
inference(resolve,[status(thm)],[c_33,c_31]) ).
cnf(c_79,plain,
addition(addition(star(A),one),multiplication(A,star(A))) = star(A),
inference(paramod,[status(thm)],[c_40,c_5379]) ).
cnf(c_84,plain,
leq(addition(multiplication(star(A),A),one),star(A)),
inference(paramod,[status(thm)],[c_18,c_34]) ).
cnf(c_85,plain,
( leq(multiplication(star(B),A),C)
| ~ leq(addition(A,multiplication(B,C)),C) ),
inference(paramod,[status(thm)],[c_18,c_35]) ).
cnf(c_88,plain,
( leq(multiplication(star(A),multiplication(A,B)),B)
| ~ leq(multiplication(A,B),B) ),
inference(paramod,[status(thm)],[c_21,c_35]) ).
cnf(c_92,plain,
( leq(multiplication(star(one),B),A)
| ~ leq(addition(A,B),A) ),
inference(paramod,[status(thm)],[c_24,c_35]) ).
cnf(c_97,plain,
( leq(multiplication(A,star(C)),B)
| ~ leq(addition(A,multiplication(B,C)),B) ),
inference(paramod,[status(thm)],[c_18,c_36]) ).
cnf(c_109,plain,
addition(multiplication(sK0,sK1),multiplication(sK1,sK2)) = multiplication(sK1,sK2),
inference(resolve,[status(thm)],[c_37,c_31]) ).
cnf(c_5380,negated_conjecture,
~ leq(addition(multiplication(sK0,multiplication(sK1,star(sK2))),sK1),multiplication(sK1,star(sK2))),
inference(resolve,[status(thm)],[c_35,c_38]) ).
cnf(c_110,negated_conjecture,
~ leq(addition(multiplication(multiplication(sK0,sK1),star(sK2)),sK1),multiplication(sK1,star(sK2))),
inference(paramod,[status(thm)],[c_22,c_5380]) ).
cnf(c_128,plain,
~ leq(addition(sK1,multiplication(multiplication(sK0,sK1),star(sK2))),multiplication(sK1,star(sK2))),
inference(paramod,[status(thm)],[c_18,c_110]) ).
cnf(c_137,plain,
leq(A,addition(A,B)),
inference(resolve,[status(thm)],[c_49,c_32]) ).
cnf(c_5381,plain,
addition(A,B) = addition(addition(A,B),A),
inference(paramod,[status(thm)],[c_49,c_18]) ).
cnf(c_138,plain,
addition(addition(A,B),A) = addition(A,B),
inference(copy,[status(thm)],[c_5381]) ).
cnf(c_144,plain,
leq(A,addition(B,A)),
inference(resolve,[status(thm)],[c_50,c_73]) ).
cnf(c_147,plain,
( addition(A,B) != B
| leq(addition(A,B),B) ),
inference(paramod,[status(thm)],[c_50,c_32]) ).
cnf(c_154,plain,
leq(A,addition(addition(A,B),C)),
inference(paramod,[status(thm)],[c_19,c_137]) ).
cnf(c_157,plain,
leq(A,addition(B,addition(C,A))),
inference(paramod,[status(thm)],[c_19,c_144]) ).
cnf(c_166,plain,
( addition(B,A) != B
| leq(addition(A,B),B) ),
inference(paramod,[status(thm)],[c_18,c_147]) ).
cnf(c_779,plain,
addition(addition(A,multiplication(B,multiplication(C,D))),multiplication(B,C)) = addition(A,multiplication(B,multiplication(C,addition(D,one)))),
inference(paramod,[status(thm)],[c_64,c_57]) ).
cnf(c_1555,plain,
addition(addition(one,star(A)),multiplication(A,star(A))) = star(A),
inference(paramod,[status(thm)],[c_18,c_79]) ).
cnf(c_1557,plain,
addition(addition(A,addition(star(B),one)),multiplication(B,star(B))) = addition(A,star(B)),
inference(paramod,[status(thm)],[c_79,c_19]) ).
cnf(c_5382,plain,
addition(addition(star(A),one),star(A)) = addition(addition(star(A),one),multiplication(A,star(A))),
inference(paramod,[status(thm)],[c_79,c_49]) ).
cnf(c_5383,plain,
addition(star(A),one) = addition(addition(star(A),one),multiplication(A,star(A))),
inference(paramod,[status(thm)],[c_138,c_5382]) ).
cnf(c_1560,plain,
addition(star(A),one) = star(A),
inference(paramod,[status(thm)],[c_79,c_5383]) ).
cnf(c_5384,plain,
addition(addition(star(A),one),addition(addition(star(A),one),multiplication(A,star(A)))) = star(A),
inference(paramod,[status(thm)],[c_79,c_49]) ).
cnf(c_5385,plain,
addition(star(A),addition(addition(star(A),one),multiplication(A,star(A)))) = star(A),
inference(paramod,[status(thm)],[c_1560,c_5384]) ).
cnf(c_5386,plain,
addition(star(A),addition(star(A),multiplication(A,star(A)))) = star(A),
inference(paramod,[status(thm)],[c_1560,c_5385]) ).
cnf(c_5387,plain,
addition(star(A),multiplication(addition(one,A),star(A))) = star(A),
inference(paramod,[status(thm)],[c_70,c_5386]) ).
cnf(c_5388,plain,
multiplication(addition(one,addition(one,A)),star(A)) = star(A),
inference(paramod,[status(thm)],[c_70,c_5387]) ).
cnf(c_1561,plain,
multiplication(addition(one,A),star(A)) = star(A),
inference(paramod,[status(thm)],[c_49,c_5388]) ).
cnf(c_1589,plain,
addition(addition(A,star(B)),multiplication(B,star(B))) = addition(A,star(B)),
inference(paramod,[status(thm)],[c_1560,c_1557]) ).
cnf(c_1594,plain,
addition(one,star(A)) = star(A),
inference(paramod,[status(thm)],[c_1589,c_1555]) ).
cnf(c_1599,plain,
leq(one,addition(A,star(B))),
inference(paramod,[status(thm)],[c_1560,c_157]) ).
cnf(c_5389,plain,
addition(addition(multiplication(star(A),A),one),star(A)) = star(A),
inference(resolve,[status(thm)],[c_84,c_31]) ).
cnf(c_5390,plain,
addition(multiplication(star(A),A),addition(one,star(A))) = star(A),
inference(paramod,[status(thm)],[c_19,c_5389]) ).
cnf(c_5391,plain,
addition(multiplication(star(A),A),star(A)) = star(A),
inference(paramod,[status(thm)],[c_1594,c_5390]) ).
cnf(c_1615,plain,
multiplication(star(A),addition(A,one)) = star(A),
inference(paramod,[status(thm)],[c_64,c_5391]) ).
cnf(c_5392,plain,
addition(one,addition(A,star(B))) = addition(A,star(B)),
inference(resolve,[status(thm)],[c_1599,c_31]) ).
cnf(c_1619,plain,
addition(addition(one,A),star(B)) = addition(A,star(B)),
inference(paramod,[status(thm)],[c_19,c_5392]) ).
cnf(c_1641,plain,
( leq(multiplication(star(one),A),B)
| ~ leq(addition(A,B),B) ),
inference(paramod,[status(thm)],[c_24,c_85]) ).
cnf(c_5393,plain,
( leq(multiplication(star(one),multiplication(one,A)),A)
| ~ leq(A,A) ),
inference(paramod,[status(thm)],[c_24,c_88]) ).
cnf(c_5394,plain,
( leq(multiplication(star(one),A),A)
| ~ leq(A,A) ),
inference(paramod,[status(thm)],[c_24,c_5393]) ).
cnf(c_1731,plain,
leq(multiplication(star(one),A),A),
inference(resolve,[status(thm)],[c_72,c_5394]) ).
cnf(c_5395,plain,
addition(multiplication(star(one),A),A) = A,
inference(resolve,[status(thm)],[c_1731,c_31]) ).
cnf(c_5396,plain,
multiplication(addition(star(one),one),A) = A,
inference(paramod,[status(thm)],[c_71,c_5395]) ).
cnf(c_1774,plain,
multiplication(star(one),A) = A,
inference(paramod,[status(thm)],[c_1560,c_5396]) ).
cnf(c_1778,plain,
( leq(A,B)
| ~ leq(addition(A,B),B) ),
inference(paramod,[status(thm)],[c_1774,c_1641]) ).
cnf(c_1779,plain,
( leq(B,A)
| ~ leq(addition(A,B),A) ),
inference(paramod,[status(thm)],[c_1774,c_92]) ).
cnf(c_5397,plain,
~ leq(addition(multiplication(sK1,star(sK2)),addition(sK1,multiplication(multiplication(sK0,sK1),star(sK2)))),multiplication(sK1,star(sK2))),
inference(resolve,[status(thm)],[c_1779,c_128]) ).
cnf(c_5398,plain,
~ leq(addition(addition(multiplication(sK1,star(sK2)),sK1),multiplication(multiplication(sK0,sK1),star(sK2))),multiplication(sK1,star(sK2))),
inference(paramod,[status(thm)],[c_19,c_5397]) ).
cnf(c_5399,plain,
~ leq(addition(multiplication(sK1,addition(star(sK2),one)),multiplication(multiplication(sK0,sK1),star(sK2))),multiplication(sK1,star(sK2))),
inference(paramod,[status(thm)],[c_64,c_5398]) ).
cnf(c_5400,plain,
~ leq(addition(multiplication(sK1,star(sK2)),multiplication(multiplication(sK0,sK1),star(sK2))),multiplication(sK1,star(sK2))),
inference(paramod,[status(thm)],[c_1560,c_5399]) ).
cnf(c_5401,plain,
~ leq(multiplication(addition(sK1,multiplication(sK0,sK1)),star(sK2)),multiplication(sK1,star(sK2))),
inference(paramod,[status(thm)],[c_28,c_5400]) ).
cnf(c_1810,plain,
~ leq(multiplication(multiplication(addition(one,sK0),sK1),star(sK2)),multiplication(sK1,star(sK2))),
inference(paramod,[status(thm)],[c_70,c_5401]) ).
cnf(c_5402,plain,
~ leq(addition(multiplication(addition(one,sK0),sK1),multiplication(multiplication(sK1,star(sK2)),sK2)),multiplication(sK1,star(sK2))),
inference(resolve,[status(thm)],[c_97,c_1810]) ).
cnf(c_2071,plain,
~ leq(addition(multiplication(addition(one,sK0),sK1),multiplication(sK1,multiplication(star(sK2),sK2))),multiplication(sK1,star(sK2))),
inference(paramod,[status(thm)],[c_22,c_5402]) ).
cnf(c_5403,plain,
~ leq(addition(addition(multiplication(addition(one,sK0),sK1),multiplication(sK1,multiplication(star(sK2),sK2))),multiplication(sK1,star(sK2))),multiplication(sK1,star(sK2))),
inference(resolve,[status(thm)],[c_1778,c_2071]) ).
cnf(c_5404,plain,
~ leq(addition(multiplication(addition(one,sK0),sK1),multiplication(sK1,multiplication(star(sK2),addition(sK2,one)))),multiplication(sK1,star(sK2))),
inference(paramod,[status(thm)],[c_779,c_5403]) ).
cnf(c_2150,plain,
~ leq(addition(multiplication(addition(one,sK0),sK1),multiplication(sK1,star(sK2))),multiplication(sK1,star(sK2))),
inference(paramod,[status(thm)],[c_1615,c_5404]) ).
cnf(c_2153,plain,
addition(multiplication(sK1,star(sK2)),multiplication(addition(one,sK0),sK1)) != multiplication(sK1,star(sK2)),
inference(resolve,[status(thm)],[c_166,c_2150]) ).
cnf(c_5405,plain,
addition(addition(multiplication(sK1,star(sK2)),multiplication(one,sK1)),multiplication(sK0,sK1)) != multiplication(sK1,star(sK2)),
inference(paramod,[status(thm)],[c_66,c_2153]) ).
cnf(c_5406,plain,
addition(addition(multiplication(sK1,star(sK2)),sK1),multiplication(sK0,sK1)) != multiplication(sK1,star(sK2)),
inference(paramod,[status(thm)],[c_24,c_5405]) ).
cnf(c_5407,plain,
addition(multiplication(sK1,addition(star(sK2),one)),multiplication(sK0,sK1)) != multiplication(sK1,star(sK2)),
inference(paramod,[status(thm)],[c_64,c_5406]) ).
cnf(c_2296,plain,
addition(multiplication(sK1,star(sK2)),multiplication(sK0,sK1)) != multiplication(sK1,star(sK2)),
inference(paramod,[status(thm)],[c_1560,c_5407]) ).
cnf(c_2505,plain,
addition(multiplication(sK0,sK1),multiplication(sK1,star(sK2))) != multiplication(sK1,star(sK2)),
inference(paramod,[status(thm)],[c_18,c_2296]) ).
cnf(c_2506,plain,
~ leq(multiplication(sK0,sK1),multiplication(sK1,star(sK2))),
inference(resolve,[status(thm)],[c_31,c_2505]) ).
cnf(c_5408,plain,
addition(addition(one,A),star(A)) = multiplication(addition(one,A),addition(one,star(A))),
inference(paramod,[status(thm)],[c_1561,c_63]) ).
cnf(c_5409,plain,
addition(A,star(A)) = multiplication(addition(one,A),addition(one,star(A))),
inference(paramod,[status(thm)],[c_1619,c_5408]) ).
cnf(c_5410,plain,
addition(A,star(A)) = multiplication(addition(one,A),star(A)),
inference(paramod,[status(thm)],[c_1594,c_5409]) ).
cnf(c_2760,plain,
addition(A,star(A)) = star(A),
inference(paramod,[status(thm)],[c_1561,c_5410]) ).
cnf(c_2792,plain,
leq(multiplication(sK0,sK1),addition(multiplication(sK1,sK2),A)),
inference(paramod,[status(thm)],[c_109,c_154]) ).
cnf(c_5244,plain,
leq(multiplication(sK0,sK1),multiplication(sK1,addition(sK2,A))),
inference(paramod,[status(thm)],[c_26,c_2792]) ).
cnf(c_5411,plain,
leq(multiplication(sK0,sK1),multiplication(sK1,star(sK2))),
inference(paramod,[status(thm)],[c_2760,c_5244]) ).
cnf(c_5376,plain,
$false,
inference(resolve,[status(thm)],[c_2506,c_5411]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE045+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 19:23:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 4021294 was started by sandbox2 on n001,
% 0.10/0.37 % Fri Sep 25 19:23:10 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.37
% 0.10/0.37 % From the command line: assign(max_seconds, 300).
% 122.58/17.09
% 122.58/17.09 % SZS status Theorem for theBenchmark
% 122.58/17.09
% 122.58/17.09 % Proof 1 at 0.45 (+ 0.13) seconds.
% 122.58/17.09 % Length of proof is 85.
% 122.58/17.09 % Level of proof is 14.
% 122.58/17.09 % Maximum clause weight is 46.000.
% 122.58/17.09 % Given clauses 319.
% 122.58/17.09
% 122.58/17.09 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------