%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : REL029+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 : n005.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 08:24:58 AM UTC 2026
% Result : Theorem 23.59s 3.82s
% Output : CNFRefutation 23.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 14
% Syntax : Number of formulae : 262 ( 258 unt; 0 def)
% Number of atoms : 270 ( 269 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 13 ~; 0 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 318 ( 10 sgn 31 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('theBenchmark.p',maddux1_join_commutativity) ).
fof(maddux2_join_associativity,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('theBenchmark.p',maddux2_join_associativity) ).
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(maddux4_definiton_of_meet,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('theBenchmark.p',maddux4_definiton_of_meet) ).
fof(composition_associativity,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('theBenchmark.p',composition_associativity) ).
fof(composition_identity,axiom,
! [X0] : composition(X0,one) = X0,
file('theBenchmark.p',composition_identity) ).
fof(composition_distributivity,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('theBenchmark.p',composition_distributivity) ).
fof(converse_idempotence,axiom,
! [X0] : converse(converse(X0)) = X0,
file('theBenchmark.p',converse_idempotence) ).
fof(converse_additivity,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('theBenchmark.p',converse_additivity) ).
fof(converse_multiplicativity,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('theBenchmark.p',converse_multiplicativity) ).
fof(converse_cancellativity,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('theBenchmark.p',converse_cancellativity) ).
fof(def_top,axiom,
! [X0] : top = join(X0,complement(X0)),
file('theBenchmark.p',def_top) ).
fof(def_zero,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('theBenchmark.p',def_zero) ).
fof(goals,conjecture,
! [X0,X1,X2] :
( ( join(X1,one) = one
& join(X0,one) = one )
=> meet(composition(X0,X2),composition(X1,X2)) = composition(meet(X0,X1),X2) ),
file('theBenchmark.p',goals) ).
fof(goals_neg,negated_conjecture,
~ ! [X0,X1,X2] :
( ( join(X1,one) = one
& join(X0,one) = one )
=> meet(composition(X0,X2),composition(X1,X2)) = composition(meet(X0,X1),X2) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_15,plain,
join(A,B) = join(B,A),
inference(clausify,[status(thm)],[maddux1_join_commutativity]) ).
cnf(c_16,plain,
join(join(A,B),C) = join(A,join(B,C)),
inference(clausify,[status(thm)],[maddux2_join_associativity]) ).
cnf(c_17,plain,
join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) = A,
inference(clausify,[status(thm)],[maddux3_a_kind_of_de_Morgan]) ).
cnf(c_18,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = A,
inference(paramod,[status(thm)],[c_15,c_17]) ).
cnf(c_19,plain,
meet(A,B) = complement(join(complement(A),complement(B))),
inference(clausify,[status(thm)],[maddux4_definiton_of_meet]) ).
cnf(c_20,plain,
composition(composition(A,B),C) = composition(A,composition(B,C)),
inference(clausify,[status(thm)],[composition_associativity]) ).
cnf(c_21,plain,
composition(A,one) = A,
inference(clausify,[status(thm)],[composition_identity]) ).
cnf(c_22,plain,
composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
inference(clausify,[status(thm)],[composition_distributivity]) ).
cnf(c_23,plain,
converse(converse(A)) = A,
inference(clausify,[status(thm)],[converse_idempotence]) ).
cnf(c_24,plain,
converse(join(A,B)) = join(converse(A),converse(B)),
inference(clausify,[status(thm)],[converse_additivity]) ).
cnf(c_25,plain,
converse(composition(A,B)) = composition(converse(B),converse(A)),
inference(clausify,[status(thm)],[converse_multiplicativity]) ).
cnf(c_26,plain,
complement(A) = join(composition(converse(B),complement(composition(B,A))),complement(A)),
inference(clausify,[status(thm)],[converse_cancellativity]) ).
cnf(c_4058,plain,
complement(A) = join(complement(A),composition(converse(B),complement(composition(B,A)))),
inference(paramod,[status(thm)],[c_15,c_26]) ).
cnf(c_27,plain,
join(complement(A),composition(converse(B),complement(composition(B,A)))) = complement(A),
inference(copy,[status(thm)],[c_4058]) ).
cnf(c_28,plain,
join(A,complement(A)) = top,
inference(clausify,[status(thm)],[def_top]) ).
cnf(c_29,plain,
meet(A,complement(A)) = zero,
inference(clausify,[status(thm)],[def_zero]) ).
cnf(c_4059,plain,
complement(join(complement(A),complement(complement(A)))) = zero,
inference(paramod,[status(thm)],[c_19,c_29]) ).
cnf(c_30,plain,
complement(top) = zero,
inference(paramod,[status(thm)],[c_28,c_4059]) ).
fof(nnf_14,plain,
? [X0,X1,X2] :
( composition(meet(X0,X1),X2) != meet(composition(X0,X2),composition(X1,X2))
& join(X1,one) = one
& join(X0,one) = one ),
inference(fof_nnf,[status(thm)],[goals_neg]) ).
fof(sk_goals_neg,plain,
( composition(meet(sK0,sK1),sK2) != meet(composition(sK0,sK2),composition(sK1,sK2))
& join(sK1,one) = one
& join(sK0,one) = one ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[nnf_14]) ).
cnf(c_31,negated_conjecture,
join(sK0,one) = one,
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_32,negated_conjecture,
join(one,sK0) = one,
inference(paramod,[status(thm)],[c_15,c_31]) ).
cnf(c_33,negated_conjecture,
join(sK1,one) = one,
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_34,negated_conjecture,
join(one,sK1) = one,
inference(paramod,[status(thm)],[c_15,c_33]) ).
cnf(c_35,negated_conjecture,
composition(meet(sK0,sK1),sK2) != meet(composition(sK0,sK2),composition(sK1,sK2)),
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_4060,negated_conjecture,
composition(complement(join(complement(sK0),complement(sK1))),sK2) != meet(composition(sK0,sK2),composition(sK1,sK2)),
inference(paramod,[status(thm)],[c_19,c_35]) ).
cnf(c_36,negated_conjecture,
composition(complement(join(complement(sK0),complement(sK1))),sK2) != complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))),
inference(paramod,[status(thm)],[c_19,c_4060]) ).
cnf(c_4061,plain,
join(join(A,B),C) = join(B,join(A,C)),
inference(paramod,[status(thm)],[c_15,c_16]) ).
cnf(c_38,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(paramod,[status(thm)],[c_16,c_4061]) ).
cnf(c_39,plain,
join(complement(join(A,complement(B))),complement(join(complement(B),complement(A)))) = B,
inference(paramod,[status(thm)],[c_15,c_18]) ).
cnf(c_40,plain,
join(complement(join(complement(A),B)),complement(join(complement(B),complement(A)))) = A,
inference(paramod,[status(thm)],[c_15,c_18]) ).
cnf(c_4062,plain,
converse(A) = composition(converse(one),converse(A)),
inference(paramod,[status(thm)],[c_21,c_25]) ).
cnf(c_43,plain,
composition(converse(one),converse(A)) = converse(A),
inference(copy,[status(thm)],[c_4062]) ).
cnf(c_4063,plain,
converse(join(composition(A,B),composition(C,B))) = composition(converse(B),converse(join(A,C))),
inference(paramod,[status(thm)],[c_22,c_25]) ).
cnf(c_4064,plain,
join(converse(composition(A,B)),converse(composition(C,B))) = composition(converse(B),converse(join(A,C))),
inference(paramod,[status(thm)],[c_24,c_4063]) ).
cnf(c_4065,plain,
join(composition(converse(B),converse(A)),converse(composition(C,B))) = composition(converse(B),converse(join(A,C))),
inference(paramod,[status(thm)],[c_25,c_4064]) ).
cnf(c_4066,plain,
join(composition(converse(B),converse(A)),composition(converse(B),converse(C))) = composition(converse(B),converse(join(A,C))),
inference(paramod,[status(thm)],[c_25,c_4065]) ).
cnf(c_4067,plain,
join(composition(converse(B),converse(A)),composition(converse(B),converse(C))) = composition(converse(B),join(converse(A),converse(C))),
inference(paramod,[status(thm)],[c_24,c_4066]) ).
cnf(c_44,plain,
composition(converse(A),join(converse(B),converse(C))) = join(composition(converse(A),converse(B)),composition(converse(A),converse(C))),
inference(copy,[status(thm)],[c_4067]) ).
cnf(c_4068,plain,
top = join(A,join(B,complement(join(A,B)))),
inference(paramod,[status(thm)],[c_28,c_16]) ).
cnf(c_49,plain,
join(A,join(B,complement(join(A,B)))) = top,
inference(copy,[status(thm)],[c_4068]) ).
cnf(c_4069,plain,
join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_28,c_18]) ).
cnf(c_50,plain,
join(zero,complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_30,c_4069]) ).
cnf(c_4070,plain,
join(complement(join(complement(A),complement(A))),complement(top)) = A,
inference(paramod,[status(thm)],[c_28,c_18]) ).
cnf(c_4071,plain,
join(complement(join(complement(A),complement(A))),zero) = A,
inference(paramod,[status(thm)],[c_30,c_4070]) ).
cnf(c_51,plain,
join(zero,complement(join(complement(A),complement(A)))) = A,
inference(paramod,[status(thm)],[c_15,c_4071]) ).
cnf(c_4072,plain,
composition(top,A) = join(composition(B,A),composition(complement(B),A)),
inference(paramod,[status(thm)],[c_28,c_22]) ).
cnf(c_52,plain,
join(composition(A,B),composition(complement(A),B)) = composition(top,B),
inference(copy,[status(thm)],[c_4072]) ).
cnf(c_4073,plain,
converse(top) = join(converse(A),converse(complement(A))),
inference(paramod,[status(thm)],[c_28,c_24]) ).
cnf(c_53,plain,
join(converse(A),converse(complement(A))) = converse(top),
inference(copy,[status(thm)],[c_4073]) ).
cnf(c_4074,plain,
composition(one,A) = join(composition(one,A),composition(sK0,A)),
inference(paramod,[status(thm)],[c_32,c_22]) ).
cnf(c_60,plain,
join(composition(one,A),composition(sK0,A)) = composition(one,A),
inference(copy,[status(thm)],[c_4074]) ).
cnf(c_4075,plain,
converse(one) = join(converse(one),converse(sK0)),
inference(paramod,[status(thm)],[c_32,c_24]) ).
cnf(c_61,plain,
join(converse(one),converse(sK0)) = converse(one),
inference(copy,[status(thm)],[c_4075]) ).
cnf(c_4076,plain,
composition(one,A) = join(composition(one,A),composition(sK1,A)),
inference(paramod,[status(thm)],[c_34,c_22]) ).
cnf(c_64,plain,
join(composition(one,A),composition(sK1,A)) = composition(one,A),
inference(copy,[status(thm)],[c_4076]) ).
cnf(c_4077,plain,
converse(one) = join(converse(one),converse(sK1)),
inference(paramod,[status(thm)],[c_34,c_24]) ).
cnf(c_65,plain,
join(converse(one),converse(sK1)) = converse(one),
inference(copy,[status(thm)],[c_4077]) ).
cnf(c_4078,plain,
composition(converse(one),A) = converse(converse(A)),
inference(paramod,[status(thm)],[c_23,c_43]) ).
cnf(c_79,plain,
composition(converse(one),A) = A,
inference(paramod,[status(thm)],[c_23,c_4078]) ).
cnf(c_4079,plain,
one = converse(one),
inference(paramod,[status(thm)],[c_79,c_21]) ).
cnf(c_81,plain,
converse(one) = one,
inference(copy,[status(thm)],[c_4079]) ).
cnf(c_85,plain,
join(complement(A),complement(composition(one,A))) = complement(A),
inference(paramod,[status(thm)],[c_79,c_27]) ).
cnf(c_86,plain,
composition(one,A) = A,
inference(paramod,[status(thm)],[c_81,c_79]) ).
cnf(c_4080,plain,
join(one,converse(sK1)) = converse(one),
inference(paramod,[status(thm)],[c_81,c_65]) ).
cnf(c_87,plain,
join(one,converse(sK1)) = one,
inference(paramod,[status(thm)],[c_81,c_4080]) ).
cnf(c_4081,plain,
join(one,converse(sK0)) = converse(one),
inference(paramod,[status(thm)],[c_81,c_61]) ).
cnf(c_88,plain,
join(one,converse(sK0)) = one,
inference(paramod,[status(thm)],[c_81,c_4081]) ).
cnf(c_4082,plain,
join(A,composition(sK1,A)) = composition(one,A),
inference(paramod,[status(thm)],[c_86,c_64]) ).
cnf(c_89,plain,
join(A,composition(sK1,A)) = A,
inference(paramod,[status(thm)],[c_86,c_4082]) ).
cnf(c_4083,plain,
join(A,composition(sK0,A)) = composition(one,A),
inference(paramod,[status(thm)],[c_86,c_60]) ).
cnf(c_90,plain,
join(A,composition(sK0,A)) = A,
inference(paramod,[status(thm)],[c_86,c_4083]) ).
cnf(c_91,plain,
join(complement(A),complement(A)) = complement(A),
inference(paramod,[status(thm)],[c_86,c_85]) ).
cnf(c_92,plain,
join(zero,complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_91,c_51]) ).
cnf(c_4084,plain,
join(complement(join(complement(complement(A)),A)),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_28,c_40]) ).
cnf(c_4085,plain,
join(complement(join(A,complement(complement(A)))),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_15,c_4084]) ).
cnf(c_4086,plain,
join(complement(join(A,complement(complement(A)))),zero) = complement(A),
inference(paramod,[status(thm)],[c_30,c_4085]) ).
cnf(c_95,plain,
join(zero,complement(join(A,complement(complement(A))))) = complement(A),
inference(paramod,[status(thm)],[c_15,c_4086]) ).
cnf(c_96,plain,
complement(complement(A)) = A,
inference(paramod,[status(thm)],[c_95,c_50]) ).
cnf(c_97,plain,
join(zero,complement(join(A,A))) = complement(A),
inference(paramod,[status(thm)],[c_96,c_95]) ).
cnf(c_98,plain,
join(zero,A) = A,
inference(paramod,[status(thm)],[c_96,c_92]) ).
cnf(c_99,plain,
complement(join(A,A)) = complement(A),
inference(paramod,[status(thm)],[c_98,c_97]) ).
cnf(c_4087,plain,
composition(one,A) = join(composition(one,A),composition(converse(sK1),A)),
inference(paramod,[status(thm)],[c_87,c_22]) ).
cnf(c_4088,plain,
A = join(composition(one,A),composition(converse(sK1),A)),
inference(paramod,[status(thm)],[c_86,c_4087]) ).
cnf(c_4089,plain,
A = join(A,composition(converse(sK1),A)),
inference(paramod,[status(thm)],[c_86,c_4088]) ).
cnf(c_115,plain,
join(A,composition(converse(sK1),A)) = A,
inference(copy,[status(thm)],[c_4089]) ).
cnf(c_4090,plain,
composition(one,A) = join(composition(one,A),composition(converse(sK0),A)),
inference(paramod,[status(thm)],[c_88,c_22]) ).
cnf(c_4091,plain,
A = join(composition(one,A),composition(converse(sK0),A)),
inference(paramod,[status(thm)],[c_86,c_4090]) ).
cnf(c_4092,plain,
A = join(A,composition(converse(sK0),A)),
inference(paramod,[status(thm)],[c_86,c_4091]) ).
cnf(c_118,plain,
join(A,composition(converse(sK0),A)) = A,
inference(copy,[status(thm)],[c_4092]) ).
cnf(c_4093,plain,
composition(A,join(converse(B),converse(C))) = join(composition(converse(converse(A)),converse(B)),composition(converse(converse(A)),converse(C))),
inference(paramod,[status(thm)],[c_23,c_44]) ).
cnf(c_4094,plain,
composition(A,join(converse(B),converse(C))) = join(composition(A,converse(B)),composition(converse(converse(A)),converse(C))),
inference(paramod,[status(thm)],[c_23,c_4093]) ).
cnf(c_120,plain,
composition(A,join(converse(B),converse(C))) = join(composition(A,converse(B)),composition(A,converse(C))),
inference(paramod,[status(thm)],[c_23,c_4094]) ).
cnf(c_4095,plain,
join(A,B) = join(B,join(A,composition(sK1,B))),
inference(paramod,[status(thm)],[c_89,c_38]) ).
cnf(c_136,plain,
join(A,join(B,composition(sK1,A))) = join(B,A),
inference(copy,[status(thm)],[c_4095]) ).
cnf(c_4096,plain,
join(A,B) = join(B,join(A,composition(sK0,B))),
inference(paramod,[status(thm)],[c_90,c_38]) ).
cnf(c_144,plain,
join(A,join(B,composition(sK0,A))) = join(B,A),
inference(copy,[status(thm)],[c_4096]) ).
cnf(c_4097,plain,
join(complement(join(A,B)),complement(join(complement(complement(A)),complement(B)))) = complement(A),
inference(paramod,[status(thm)],[c_96,c_18]) ).
cnf(c_148,plain,
join(complement(join(A,B)),complement(join(A,complement(B)))) = complement(A),
inference(paramod,[status(thm)],[c_96,c_4097]) ).
cnf(c_4098,plain,
join(complement(join(A,B)),complement(join(complement(complement(B)),complement(A)))) = complement(B),
inference(paramod,[status(thm)],[c_96,c_39]) ).
cnf(c_150,plain,
join(complement(join(A,B)),complement(join(B,complement(A)))) = complement(B),
inference(paramod,[status(thm)],[c_96,c_4098]) ).
cnf(c_4099,plain,
join(join(A,A),complement(A)) = top,
inference(paramod,[status(thm)],[c_99,c_28]) ).
cnf(c_4100,plain,
join(A,join(A,complement(A))) = top,
inference(paramod,[status(thm)],[c_16,c_4099]) ).
cnf(c_165,plain,
join(A,top) = top,
inference(paramod,[status(thm)],[c_28,c_4100]) ).
cnf(c_4101,plain,
complement(complement(A)) = join(A,A),
inference(paramod,[status(thm)],[c_99,c_96]) ).
cnf(c_4102,plain,
A = join(A,A),
inference(paramod,[status(thm)],[c_96,c_4101]) ).
cnf(c_166,plain,
join(A,A) = A,
inference(copy,[status(thm)],[c_4102]) ).
cnf(c_4103,plain,
composition(top,A) = join(composition(B,A),composition(top,A)),
inference(paramod,[status(thm)],[c_165,c_22]) ).
cnf(c_169,plain,
join(composition(A,B),composition(top,B)) = composition(top,B),
inference(copy,[status(thm)],[c_4103]) ).
cnf(c_4104,plain,
converse(top) = join(converse(A),converse(top)),
inference(paramod,[status(thm)],[c_165,c_24]) ).
cnf(c_170,plain,
join(converse(A),converse(top)) = converse(top),
inference(copy,[status(thm)],[c_4104]) ).
cnf(c_4105,plain,
join(A,B) = join(A,join(A,B)),
inference(paramod,[status(thm)],[c_166,c_16]) ).
cnf(c_172,plain,
join(A,join(A,B)) = join(A,B),
inference(copy,[status(thm)],[c_4105]) ).
cnf(c_4106,plain,
join(A,composition(top,B)) = join(composition(C,B),join(A,composition(complement(C),B))),
inference(paramod,[status(thm)],[c_52,c_38]) ).
cnf(c_189,plain,
join(composition(A,B),join(C,composition(complement(A),B))) = join(C,composition(top,B)),
inference(copy,[status(thm)],[c_4106]) ).
cnf(c_210,plain,
join(A,converse(top)) = converse(top),
inference(paramod,[status(thm)],[c_23,c_170]) ).
cnf(c_213,plain,
join(A,converse(complement(converse(A)))) = converse(top),
inference(paramod,[status(thm)],[c_23,c_53]) ).
cnf(c_4107,plain,
join(A,converse(top)) = join(converse(B),join(A,converse(complement(B)))),
inference(paramod,[status(thm)],[c_53,c_38]) ).
cnf(c_4108,plain,
converse(top) = join(converse(B),join(A,converse(complement(B)))),
inference(paramod,[status(thm)],[c_210,c_4107]) ).
cnf(c_215,plain,
join(converse(A),join(B,converse(complement(A)))) = converse(top),
inference(copy,[status(thm)],[c_4108]) ).
cnf(c_4109,plain,
join(converse(A),join(converse(complement(A)),complement(converse(top)))) = top,
inference(paramod,[status(thm)],[c_53,c_49]) ).
cnf(c_4110,plain,
join(converse(A),join(complement(converse(top)),converse(complement(A)))) = top,
inference(paramod,[status(thm)],[c_15,c_4109]) ).
cnf(c_217,plain,
converse(top) = top,
inference(paramod,[status(thm)],[c_215,c_4110]) ).
cnf(c_221,plain,
join(A,converse(complement(converse(A)))) = top,
inference(paramod,[status(thm)],[c_217,c_213]) ).
cnf(c_229,plain,
join(converse(A),converse(complement(A))) = top,
inference(paramod,[status(thm)],[c_217,c_53]) ).
cnf(c_4111,plain,
converse(A) = join(converse(A),converse(composition(converse(sK1),A))),
inference(paramod,[status(thm)],[c_115,c_24]) ).
cnf(c_4112,plain,
converse(A) = join(converse(A),composition(converse(A),converse(converse(sK1)))),
inference(paramod,[status(thm)],[c_25,c_4111]) ).
cnf(c_4113,plain,
converse(A) = join(converse(A),composition(converse(A),sK1)),
inference(paramod,[status(thm)],[c_23,c_4112]) ).
cnf(c_293,plain,
join(converse(A),composition(converse(A),sK1)) = converse(A),
inference(copy,[status(thm)],[c_4113]) ).
cnf(c_4114,plain,
converse(A) = join(converse(A),converse(composition(converse(sK0),A))),
inference(paramod,[status(thm)],[c_118,c_24]) ).
cnf(c_4115,plain,
converse(A) = join(converse(A),composition(converse(A),converse(converse(sK0)))),
inference(paramod,[status(thm)],[c_25,c_4114]) ).
cnf(c_4116,plain,
converse(A) = join(converse(A),composition(converse(A),sK0)),
inference(paramod,[status(thm)],[c_23,c_4115]) ).
cnf(c_314,plain,
join(converse(A),composition(converse(A),sK0)) = converse(A),
inference(copy,[status(thm)],[c_4116]) ).
cnf(c_4117,plain,
composition(A,join(B,converse(C))) = join(composition(A,converse(converse(B))),composition(A,converse(C))),
inference(paramod,[status(thm)],[c_23,c_120]) ).
cnf(c_433,plain,
composition(A,join(B,converse(C))) = join(composition(A,B),composition(A,converse(C))),
inference(paramod,[status(thm)],[c_23,c_4117]) ).
cnf(c_449,plain,
join(A,composition(top,A)) = composition(top,A),
inference(paramod,[status(thm)],[c_86,c_169]) ).
cnf(c_4118,plain,
join(A,composition(top,B)) = join(B,join(A,composition(top,B))),
inference(paramod,[status(thm)],[c_449,c_38]) ).
cnf(c_453,plain,
join(A,join(B,composition(top,A))) = join(B,composition(top,A)),
inference(copy,[status(thm)],[c_4118]) ).
cnf(c_4119,plain,
join(A,composition(converse(converse(A)),sK1)) = converse(converse(A)),
inference(paramod,[status(thm)],[c_23,c_293]) ).
cnf(c_4120,plain,
join(A,composition(A,sK1)) = converse(converse(A)),
inference(paramod,[status(thm)],[c_23,c_4119]) ).
cnf(c_695,plain,
join(A,composition(A,sK1)) = A,
inference(paramod,[status(thm)],[c_23,c_4120]) ).
cnf(c_4121,plain,
join(A,composition(converse(converse(A)),sK0)) = converse(converse(A)),
inference(paramod,[status(thm)],[c_23,c_314]) ).
cnf(c_4122,plain,
join(A,composition(A,sK0)) = converse(converse(A)),
inference(paramod,[status(thm)],[c_23,c_4121]) ).
cnf(c_718,plain,
join(A,composition(A,sK0)) = A,
inference(paramod,[status(thm)],[c_23,c_4122]) ).
cnf(c_4123,plain,
join(complement(join(A,B)),complement(A)) = join(complement(join(A,B)),complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_148,c_172]) ).
cnf(c_4124,plain,
join(complement(A),complement(join(A,B))) = join(complement(join(A,B)),complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_15,c_4123]) ).
cnf(c_739,plain,
join(complement(A),complement(join(A,B))) = complement(A),
inference(paramod,[status(thm)],[c_148,c_4124]) ).
cnf(c_4125,plain,
join(complement(join(A,B)),complement(B)) = join(complement(join(A,B)),complement(join(B,complement(A)))),
inference(paramod,[status(thm)],[c_150,c_172]) ).
cnf(c_4126,plain,
join(complement(B),complement(join(A,B))) = join(complement(join(A,B)),complement(join(B,complement(A)))),
inference(paramod,[status(thm)],[c_15,c_4125]) ).
cnf(c_820,plain,
join(complement(A),complement(join(B,A))) = complement(A),
inference(paramod,[status(thm)],[c_150,c_4126]) ).
cnf(c_4127,plain,
join(complement(complement(A)),complement(join(complement(join(B,A)),complement(complement(join(A,complement(B))))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_150,c_148]) ).
cnf(c_4128,plain,
join(A,complement(join(complement(join(B,A)),complement(complement(join(A,complement(B))))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_96,c_4127]) ).
cnf(c_4129,plain,
join(A,complement(join(complement(join(B,A)),join(A,complement(B))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_96,c_4128]) ).
cnf(c_4130,plain,
join(A,complement(join(join(A,complement(B)),complement(join(B,A))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_15,c_4129]) ).
cnf(c_4131,plain,
join(A,complement(join(A,join(complement(B),complement(join(B,A)))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_16,c_4130]) ).
cnf(c_4132,plain,
join(A,complement(join(A,complement(B)))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_739,c_4131]) ).
cnf(c_834,plain,
join(A,complement(join(A,complement(B)))) = join(B,A),
inference(paramod,[status(thm)],[c_96,c_4132]) ).
cnf(c_4133,plain,
join(complement(complement(A)),complement(join(complement(join(A,complement(B))),complement(complement(join(B,A)))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_150,c_150]) ).
cnf(c_4134,plain,
join(A,complement(join(complement(join(A,complement(B))),complement(complement(join(B,A)))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_96,c_4133]) ).
cnf(c_4135,plain,
join(A,complement(join(complement(join(A,complement(B))),join(B,A)))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_96,c_4134]) ).
cnf(c_4136,plain,
join(A,complement(join(join(B,A),complement(join(A,complement(B)))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_15,c_4135]) ).
cnf(c_4137,plain,
join(A,complement(join(B,join(A,complement(join(A,complement(B))))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_16,c_4136]) ).
cnf(c_4138,plain,
join(A,complement(join(B,join(B,A)))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_834,c_4137]) ).
cnf(c_4139,plain,
join(A,complement(join(B,A))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_172,c_4138]) ).
cnf(c_839,plain,
join(A,complement(join(B,A))) = join(A,complement(B)),
inference(paramod,[status(thm)],[c_96,c_4139]) ).
cnf(c_4140,plain,
join(complement(composition(sK0,A)),complement(A)) = complement(composition(sK0,A)),
inference(paramod,[status(thm)],[c_90,c_820]) ).
cnf(c_926,plain,
join(complement(A),complement(composition(sK0,A))) = complement(composition(sK0,A)),
inference(paramod,[status(thm)],[c_15,c_4140]) ).
cnf(c_4141,plain,
join(composition(A,sK1),complement(A)) = join(complement(A),composition(top,sK1)),
inference(paramod,[status(thm)],[c_695,c_189]) ).
cnf(c_4142,plain,
join(complement(A),composition(A,sK1)) = join(complement(A),composition(top,sK1)),
inference(paramod,[status(thm)],[c_15,c_4141]) ).
cnf(c_1111,plain,
join(complement(A),composition(top,sK1)) = join(complement(A),composition(A,sK1)),
inference(copy,[status(thm)],[c_4142]) ).
cnf(c_4143,plain,
join(composition(A,sK0),complement(A)) = join(complement(A),composition(top,sK0)),
inference(paramod,[status(thm)],[c_718,c_189]) ).
cnf(c_4144,plain,
join(complement(A),composition(A,sK0)) = join(complement(A),composition(top,sK0)),
inference(paramod,[status(thm)],[c_15,c_4143]) ).
cnf(c_1112,plain,
join(complement(A),composition(top,sK0)) = join(complement(A),composition(A,sK0)),
inference(copy,[status(thm)],[c_4144]) ).
cnf(c_1452,plain,
join(A,complement(join(A,B))) = join(A,complement(B)),
inference(paramod,[status(thm)],[c_15,c_839]) ).
cnf(c_4145,plain,
join(converse(complement(A)),complement(top)) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_229,c_839]) ).
cnf(c_4146,plain,
join(converse(complement(A)),zero) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_30,c_4145]) ).
cnf(c_4147,plain,
join(zero,converse(complement(A))) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_15,c_4146]) ).
cnf(c_4148,plain,
converse(complement(A)) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_98,c_4147]) ).
cnf(c_4149,plain,
converse(complement(A)) = join(complement(converse(A)),converse(complement(A))),
inference(paramod,[status(thm)],[c_15,c_4148]) ).
cnf(c_1462,plain,
join(complement(converse(A)),converse(complement(A))) = converse(complement(A)),
inference(copy,[status(thm)],[c_4149]) ).
cnf(c_4150,plain,
join(converse(complement(converse(A))),complement(top)) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_221,c_839]) ).
cnf(c_4151,plain,
join(converse(complement(converse(A))),zero) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_30,c_4150]) ).
cnf(c_4152,plain,
join(zero,converse(complement(converse(A)))) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_15,c_4151]) ).
cnf(c_4153,plain,
converse(complement(converse(A))) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_98,c_4152]) ).
cnf(c_4154,plain,
converse(complement(converse(A))) = join(complement(A),converse(complement(converse(A)))),
inference(paramod,[status(thm)],[c_15,c_4153]) ).
cnf(c_1470,plain,
join(complement(A),converse(complement(converse(A)))) = converse(complement(converse(A))),
inference(copy,[status(thm)],[c_4154]) ).
cnf(c_4155,plain,
join(sK1,join(complement(sK0),composition(top,sK1))) = join(complement(sK0),sK1),
inference(paramod,[status(thm)],[c_1111,c_144]) ).
cnf(c_4156,plain,
join(complement(sK0),composition(top,sK1)) = join(complement(sK0),sK1),
inference(paramod,[status(thm)],[c_453,c_4155]) ).
cnf(c_1581,plain,
join(complement(sK0),composition(top,sK1)) = join(sK1,complement(sK0)),
inference(paramod,[status(thm)],[c_15,c_4156]) ).
cnf(c_4157,plain,
join(sK1,complement(sK0)) = join(complement(sK0),composition(sK0,sK1)),
inference(paramod,[status(thm)],[c_1581,c_1111]) ).
cnf(c_1649,plain,
join(complement(sK0),composition(sK0,sK1)) = join(sK1,complement(sK0)),
inference(copy,[status(thm)],[c_4157]) ).
cnf(c_4158,plain,
join(complement(join(sK1,complement(sK0))),complement(join(composition(sK0,sK1),complement(complement(sK0))))) = complement(composition(sK0,sK1)),
inference(paramod,[status(thm)],[c_1649,c_150]) ).
cnf(c_4159,plain,
join(complement(join(sK1,complement(sK0))),complement(join(composition(sK0,sK1),sK0))) = complement(composition(sK0,sK1)),
inference(paramod,[status(thm)],[c_96,c_4158]) ).
cnf(c_4160,plain,
join(complement(join(sK1,complement(sK0))),complement(join(sK0,composition(sK0,sK1)))) = complement(composition(sK0,sK1)),
inference(paramod,[status(thm)],[c_15,c_4159]) ).
cnf(c_4161,plain,
join(complement(join(sK1,complement(sK0))),complement(sK0)) = complement(composition(sK0,sK1)),
inference(paramod,[status(thm)],[c_695,c_4160]) ).
cnf(c_4162,plain,
join(complement(sK0),complement(join(sK1,complement(sK0)))) = complement(composition(sK0,sK1)),
inference(paramod,[status(thm)],[c_15,c_4161]) ).
cnf(c_4163,plain,
join(complement(sK0),complement(sK1)) = complement(composition(sK0,sK1)),
inference(paramod,[status(thm)],[c_839,c_4162]) ).
cnf(c_1680,plain,
complement(composition(sK0,sK1)) = join(complement(sK0),complement(sK1)),
inference(copy,[status(thm)],[c_4163]) ).
cnf(c_4164,plain,
complement(join(complement(sK0),complement(sK1))) = composition(sK0,sK1),
inference(paramod,[status(thm)],[c_1680,c_96]) ).
cnf(c_1689,plain,
composition(sK0,sK1) = complement(join(complement(sK0),complement(sK1))),
inference(copy,[status(thm)],[c_4164]) ).
cnf(c_1707,plain,
composition(complement(join(complement(sK0),complement(sK1))),A) = composition(sK0,composition(sK1,A)),
inference(paramod,[status(thm)],[c_1689,c_20]) ).
cnf(c_1712,negated_conjecture,
composition(sK0,composition(sK1,sK2)) != complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))),
inference(paramod,[status(thm)],[c_1707,c_36]) ).
cnf(c_4165,plain,
join(sK0,join(complement(sK1),composition(top,sK0))) = join(complement(sK1),sK0),
inference(paramod,[status(thm)],[c_1112,c_136]) ).
cnf(c_4166,plain,
join(complement(sK1),composition(top,sK0)) = join(complement(sK1),sK0),
inference(paramod,[status(thm)],[c_453,c_4165]) ).
cnf(c_1724,plain,
join(complement(sK1),composition(top,sK0)) = join(sK0,complement(sK1)),
inference(paramod,[status(thm)],[c_15,c_4166]) ).
cnf(c_4167,plain,
join(sK0,complement(sK1)) = join(complement(sK1),composition(sK1,sK0)),
inference(paramod,[status(thm)],[c_1724,c_1112]) ).
cnf(c_1766,plain,
join(complement(sK1),composition(sK1,sK0)) = join(sK0,complement(sK1)),
inference(copy,[status(thm)],[c_4167]) ).
cnf(c_4168,plain,
join(complement(join(sK0,complement(sK1))),complement(join(composition(sK1,sK0),complement(complement(sK1))))) = complement(composition(sK1,sK0)),
inference(paramod,[status(thm)],[c_1766,c_150]) ).
cnf(c_4169,plain,
join(complement(join(sK0,complement(sK1))),complement(join(composition(sK1,sK0),sK1))) = complement(composition(sK1,sK0)),
inference(paramod,[status(thm)],[c_96,c_4168]) ).
cnf(c_4170,plain,
join(complement(join(sK0,complement(sK1))),complement(join(sK1,composition(sK1,sK0)))) = complement(composition(sK1,sK0)),
inference(paramod,[status(thm)],[c_15,c_4169]) ).
cnf(c_4171,plain,
join(complement(join(sK0,complement(sK1))),complement(sK1)) = complement(composition(sK1,sK0)),
inference(paramod,[status(thm)],[c_718,c_4170]) ).
cnf(c_4172,plain,
join(complement(sK1),complement(join(sK0,complement(sK1)))) = complement(composition(sK1,sK0)),
inference(paramod,[status(thm)],[c_15,c_4171]) ).
cnf(c_4173,plain,
join(complement(sK1),complement(sK0)) = complement(composition(sK1,sK0)),
inference(paramod,[status(thm)],[c_839,c_4172]) ).
cnf(c_4174,plain,
join(complement(sK0),complement(sK1)) = complement(composition(sK1,sK0)),
inference(paramod,[status(thm)],[c_15,c_4173]) ).
cnf(c_1785,plain,
complement(composition(sK1,sK0)) = join(complement(sK0),complement(sK1)),
inference(copy,[status(thm)],[c_4174]) ).
cnf(c_4175,plain,
complement(join(complement(sK0),complement(sK1))) = composition(sK1,sK0),
inference(paramod,[status(thm)],[c_1785,c_96]) ).
cnf(c_1788,plain,
composition(sK1,sK0) = complement(join(complement(sK0),complement(sK1))),
inference(copy,[status(thm)],[c_4175]) ).
cnf(c_4176,plain,
composition(complement(join(complement(sK0),complement(sK1))),A) = composition(sK1,composition(sK0,A)),
inference(paramod,[status(thm)],[c_1788,c_20]) ).
cnf(c_4177,plain,
composition(sK0,composition(sK1,A)) = composition(sK1,composition(sK0,A)),
inference(paramod,[status(thm)],[c_1707,c_4176]) ).
cnf(c_1791,plain,
composition(sK1,composition(sK0,A)) = composition(sK0,composition(sK1,A)),
inference(copy,[status(thm)],[c_4177]) ).
cnf(c_4178,plain,
composition(A,top) = join(composition(A,B),composition(A,converse(complement(converse(B))))),
inference(paramod,[status(thm)],[c_221,c_433]) ).
cnf(c_2311,plain,
join(composition(A,B),composition(A,converse(complement(converse(B))))) = composition(A,top),
inference(copy,[status(thm)],[c_4178]) ).
cnf(c_4179,plain,
converse(converse(complement(A))) = join(converse(complement(converse(A))),converse(converse(complement(A)))),
inference(paramod,[status(thm)],[c_1462,c_24]) ).
cnf(c_4180,plain,
complement(A) = join(converse(complement(converse(A))),converse(converse(complement(A)))),
inference(paramod,[status(thm)],[c_23,c_4179]) ).
cnf(c_4181,plain,
complement(A) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_23,c_4180]) ).
cnf(c_4182,plain,
complement(A) = join(complement(A),converse(complement(converse(A)))),
inference(paramod,[status(thm)],[c_15,c_4181]) ).
cnf(c_4183,plain,
complement(A) = converse(complement(converse(A))),
inference(paramod,[status(thm)],[c_1470,c_4182]) ).
cnf(c_2577,plain,
converse(complement(converse(A))) = complement(A),
inference(copy,[status(thm)],[c_4183]) ).
cnf(c_2580,plain,
join(composition(A,B),composition(A,complement(B))) = composition(A,top),
inference(paramod,[status(thm)],[c_2577,c_2311]) ).
cnf(c_4184,plain,
join(complement(composition(sK0,A)),B) = join(complement(A),join(complement(composition(sK0,A)),B)),
inference(paramod,[status(thm)],[c_926,c_16]) ).
cnf(c_3234,plain,
join(complement(A),join(complement(composition(sK0,A)),B)) = join(complement(composition(sK0,A)),B),
inference(copy,[status(thm)],[c_4184]) ).
cnf(c_4185,plain,
join(complement(A),composition(sK1,top)) = join(composition(sK1,A),complement(A)),
inference(paramod,[status(thm)],[c_2580,c_136]) ).
cnf(c_3452,plain,
join(complement(A),composition(sK1,top)) = join(complement(A),composition(sK1,A)),
inference(paramod,[status(thm)],[c_15,c_4185]) ).
cnf(c_4186,plain,
join(complement(join(complement(A),composition(sK1,top))),complement(join(composition(sK1,A),complement(complement(A))))) = complement(composition(sK1,A)),
inference(paramod,[status(thm)],[c_3452,c_150]) ).
cnf(c_4187,plain,
join(complement(join(complement(A),composition(sK1,top))),complement(join(composition(sK1,A),A))) = complement(composition(sK1,A)),
inference(paramod,[status(thm)],[c_96,c_4186]) ).
cnf(c_4188,plain,
join(complement(join(complement(A),composition(sK1,top))),complement(join(A,composition(sK1,A)))) = complement(composition(sK1,A)),
inference(paramod,[status(thm)],[c_15,c_4187]) ).
cnf(c_4189,plain,
join(complement(join(complement(A),composition(sK1,top))),complement(A)) = complement(composition(sK1,A)),
inference(paramod,[status(thm)],[c_89,c_4188]) ).
cnf(c_4190,plain,
join(complement(A),complement(join(complement(A),composition(sK1,top)))) = complement(composition(sK1,A)),
inference(paramod,[status(thm)],[c_15,c_4189]) ).
cnf(c_4191,plain,
join(complement(A),complement(composition(sK1,top))) = complement(composition(sK1,A)),
inference(paramod,[status(thm)],[c_1452,c_4190]) ).
cnf(c_3479,plain,
complement(composition(sK1,A)) = join(complement(A),complement(composition(sK1,top))),
inference(copy,[status(thm)],[c_4191]) ).
cnf(c_4192,plain,
composition(sK0,composition(sK1,sK2)) != complement(join(complement(composition(sK0,sK2)),join(complement(sK2),complement(composition(sK1,top))))),
inference(paramod,[status(thm)],[c_3479,c_1712]) ).
cnf(c_4193,plain,
composition(sK0,composition(sK1,sK2)) != complement(join(complement(sK2),join(complement(composition(sK0,sK2)),complement(composition(sK1,top))))),
inference(paramod,[status(thm)],[c_38,c_4192]) ).
cnf(c_4021,plain,
composition(sK0,composition(sK1,sK2)) != complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,top)))),
inference(paramod,[status(thm)],[c_3234,c_4193]) ).
cnf(c_4194,plain,
composition(sK0,composition(sK1,sK2)) != complement(complement(composition(sK1,composition(sK0,sK2)))),
inference(paramod,[status(thm)],[c_3479,c_4021]) ).
cnf(c_4195,plain,
composition(sK0,composition(sK1,sK2)) != complement(complement(composition(sK0,composition(sK1,sK2)))),
inference(paramod,[status(thm)],[c_1791,c_4194]) ).
cnf(c_4196,plain,
composition(sK0,composition(sK1,sK2)) != composition(sK0,composition(sK1,sK2)),
inference(paramod,[status(thm)],[c_96,c_4195]) ).
cnf(c_4057,plain,
$false,
inference(copy,[status(thm)],[c_4196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL029+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sat Sep 26 05:33:32 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38 % Process 1325036 was started by sandbox2 on n005,
% 0.10/0.38 % Sat Sep 26 05:33:32 2026
% 0.10/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.39
% 0.10/0.39 % From the command line: assign(max_seconds, 300).
% 23.59/3.82
% 23.59/3.82 % given #500 (W,wt=19): 3469 join(composition(c2,top),complement(A)) = join(complement(A),composition(c2,A)). [para(3452(a,1),15(a,1)),flip(a)].
% 23.59/3.82
% 23.59/3.82 % SZS status Theorem for theBenchmark
% 23.59/3.82
% 23.59/3.82 % Proof 1 at 2.30 (+ 0.76) seconds.
% 23.59/3.82 % Length of proof is 120.
% 23.59/3.82 % Level of proof is 22.
% 23.59/3.82 % Maximum clause weight is 30.000.
% 23.59/3.82 % Given clauses 559.
% 23.59/3.82
% 23.59/3.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------