%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : REL029+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 13.48s 2.11s
% Output : CNFRefutation 13.48s
% 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_18,plain,
join(A,B) = join(B,A),
inference(clausify,[status(thm)],[maddux1_join_commutativity]) ).
cnf(c_19,plain,
join(join(A,B),C) = join(A,join(B,C)),
inference(clausify,[status(thm)],[maddux2_join_associativity]) ).
cnf(c_20,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_21,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = A,
inference(paramod,[status(thm)],[c_18,c_20]) ).
cnf(c_22,plain,
meet(A,B) = complement(join(complement(A),complement(B))),
inference(clausify,[status(thm)],[maddux4_definiton_of_meet]) ).
cnf(c_23,plain,
composition(composition(A,B),C) = composition(A,composition(B,C)),
inference(clausify,[status(thm)],[composition_associativity]) ).
cnf(c_24,plain,
composition(A,one) = A,
inference(clausify,[status(thm)],[composition_identity]) ).
cnf(c_25,plain,
composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
inference(clausify,[status(thm)],[composition_distributivity]) ).
cnf(c_26,plain,
converse(converse(A)) = A,
inference(clausify,[status(thm)],[converse_idempotence]) ).
cnf(c_27,plain,
converse(join(A,B)) = join(converse(A),converse(B)),
inference(clausify,[status(thm)],[converse_additivity]) ).
cnf(c_28,plain,
converse(composition(A,B)) = composition(converse(B),converse(A)),
inference(clausify,[status(thm)],[converse_multiplicativity]) ).
cnf(c_29,plain,
complement(A) = join(composition(converse(B),complement(composition(B,A))),complement(A)),
inference(clausify,[status(thm)],[converse_cancellativity]) ).
cnf(c_4071,plain,
complement(A) = join(complement(A),composition(converse(B),complement(composition(B,A)))),
inference(paramod,[status(thm)],[c_18,c_29]) ).
cnf(c_30,plain,
join(complement(A),composition(converse(B),complement(composition(B,A)))) = complement(A),
inference(copy,[status(thm)],[c_4071]) ).
cnf(c_31,plain,
join(A,complement(A)) = top,
inference(clausify,[status(thm)],[def_top]) ).
cnf(c_32,plain,
meet(A,complement(A)) = zero,
inference(clausify,[status(thm)],[def_zero]) ).
cnf(c_4072,plain,
complement(join(complement(A),complement(complement(A)))) = zero,
inference(paramod,[status(thm)],[c_22,c_32]) ).
cnf(c_33,plain,
complement(top) = zero,
inference(paramod,[status(thm)],[c_31,c_4072]) ).
fof(nnf_17,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_17]) ).
cnf(c_40,negated_conjecture,
join(sK0,one) = one,
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_41,negated_conjecture,
join(one,sK0) = one,
inference(paramod,[status(thm)],[c_18,c_40]) ).
cnf(c_42,negated_conjecture,
join(sK1,one) = one,
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_43,negated_conjecture,
join(one,sK1) = one,
inference(paramod,[status(thm)],[c_18,c_42]) ).
cnf(c_44,negated_conjecture,
composition(meet(sK0,sK1),sK2) != meet(composition(sK0,sK2),composition(sK1,sK2)),
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_4073,negated_conjecture,
composition(complement(join(complement(sK0),complement(sK1))),sK2) != meet(composition(sK0,sK2),composition(sK1,sK2)),
inference(paramod,[status(thm)],[c_22,c_44]) ).
cnf(c_45,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_22,c_4073]) ).
cnf(c_4074,plain,
join(join(A,B),C) = join(B,join(A,C)),
inference(paramod,[status(thm)],[c_18,c_19]) ).
cnf(c_47,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(paramod,[status(thm)],[c_19,c_4074]) ).
cnf(c_48,plain,
join(complement(join(A,complement(B))),complement(join(complement(B),complement(A)))) = B,
inference(paramod,[status(thm)],[c_18,c_21]) ).
cnf(c_49,plain,
join(complement(join(complement(A),B)),complement(join(complement(B),complement(A)))) = A,
inference(paramod,[status(thm)],[c_18,c_21]) ).
cnf(c_4075,plain,
converse(A) = composition(converse(one),converse(A)),
inference(paramod,[status(thm)],[c_24,c_28]) ).
cnf(c_52,plain,
composition(converse(one),converse(A)) = converse(A),
inference(copy,[status(thm)],[c_4075]) ).
cnf(c_4076,plain,
converse(join(composition(A,B),composition(C,B))) = composition(converse(B),converse(join(A,C))),
inference(paramod,[status(thm)],[c_25,c_28]) ).
cnf(c_4077,plain,
join(converse(composition(A,B)),converse(composition(C,B))) = composition(converse(B),converse(join(A,C))),
inference(paramod,[status(thm)],[c_27,c_4076]) ).
cnf(c_4078,plain,
join(composition(converse(B),converse(A)),converse(composition(C,B))) = composition(converse(B),converse(join(A,C))),
inference(paramod,[status(thm)],[c_28,c_4077]) ).
cnf(c_4079,plain,
join(composition(converse(B),converse(A)),composition(converse(B),converse(C))) = composition(converse(B),converse(join(A,C))),
inference(paramod,[status(thm)],[c_28,c_4078]) ).
cnf(c_4080,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_27,c_4079]) ).
cnf(c_53,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_4080]) ).
cnf(c_4081,plain,
top = join(A,join(B,complement(join(A,B)))),
inference(paramod,[status(thm)],[c_31,c_19]) ).
cnf(c_58,plain,
join(A,join(B,complement(join(A,B)))) = top,
inference(copy,[status(thm)],[c_4081]) ).
cnf(c_4082,plain,
join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_31,c_21]) ).
cnf(c_59,plain,
join(zero,complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_33,c_4082]) ).
cnf(c_4083,plain,
join(complement(join(complement(A),complement(A))),complement(top)) = A,
inference(paramod,[status(thm)],[c_31,c_21]) ).
cnf(c_4084,plain,
join(complement(join(complement(A),complement(A))),zero) = A,
inference(paramod,[status(thm)],[c_33,c_4083]) ).
cnf(c_60,plain,
join(zero,complement(join(complement(A),complement(A)))) = A,
inference(paramod,[status(thm)],[c_18,c_4084]) ).
cnf(c_4085,plain,
composition(top,A) = join(composition(B,A),composition(complement(B),A)),
inference(paramod,[status(thm)],[c_31,c_25]) ).
cnf(c_61,plain,
join(composition(A,B),composition(complement(A),B)) = composition(top,B),
inference(copy,[status(thm)],[c_4085]) ).
cnf(c_4086,plain,
converse(top) = join(converse(A),converse(complement(A))),
inference(paramod,[status(thm)],[c_31,c_27]) ).
cnf(c_62,plain,
join(converse(A),converse(complement(A))) = converse(top),
inference(copy,[status(thm)],[c_4086]) ).
cnf(c_4087,plain,
composition(one,A) = join(composition(one,A),composition(sK0,A)),
inference(paramod,[status(thm)],[c_41,c_25]) ).
cnf(c_69,plain,
join(composition(one,A),composition(sK0,A)) = composition(one,A),
inference(copy,[status(thm)],[c_4087]) ).
cnf(c_4088,plain,
converse(one) = join(converse(one),converse(sK0)),
inference(paramod,[status(thm)],[c_41,c_27]) ).
cnf(c_70,plain,
join(converse(one),converse(sK0)) = converse(one),
inference(copy,[status(thm)],[c_4088]) ).
cnf(c_4089,plain,
composition(one,A) = join(composition(one,A),composition(sK1,A)),
inference(paramod,[status(thm)],[c_43,c_25]) ).
cnf(c_73,plain,
join(composition(one,A),composition(sK1,A)) = composition(one,A),
inference(copy,[status(thm)],[c_4089]) ).
cnf(c_4090,plain,
converse(one) = join(converse(one),converse(sK1)),
inference(paramod,[status(thm)],[c_43,c_27]) ).
cnf(c_74,plain,
join(converse(one),converse(sK1)) = converse(one),
inference(copy,[status(thm)],[c_4090]) ).
cnf(c_4091,plain,
composition(converse(one),A) = converse(converse(A)),
inference(paramod,[status(thm)],[c_26,c_52]) ).
cnf(c_88,plain,
composition(converse(one),A) = A,
inference(paramod,[status(thm)],[c_26,c_4091]) ).
cnf(c_4092,plain,
one = converse(one),
inference(paramod,[status(thm)],[c_88,c_24]) ).
cnf(c_90,plain,
converse(one) = one,
inference(copy,[status(thm)],[c_4092]) ).
cnf(c_94,plain,
join(complement(A),complement(composition(one,A))) = complement(A),
inference(paramod,[status(thm)],[c_88,c_30]) ).
cnf(c_95,plain,
composition(one,A) = A,
inference(paramod,[status(thm)],[c_90,c_88]) ).
cnf(c_4093,plain,
join(one,converse(sK1)) = converse(one),
inference(paramod,[status(thm)],[c_90,c_74]) ).
cnf(c_96,plain,
join(one,converse(sK1)) = one,
inference(paramod,[status(thm)],[c_90,c_4093]) ).
cnf(c_4094,plain,
join(one,converse(sK0)) = converse(one),
inference(paramod,[status(thm)],[c_90,c_70]) ).
cnf(c_97,plain,
join(one,converse(sK0)) = one,
inference(paramod,[status(thm)],[c_90,c_4094]) ).
cnf(c_4095,plain,
join(A,composition(sK1,A)) = composition(one,A),
inference(paramod,[status(thm)],[c_95,c_73]) ).
cnf(c_98,plain,
join(A,composition(sK1,A)) = A,
inference(paramod,[status(thm)],[c_95,c_4095]) ).
cnf(c_4096,plain,
join(A,composition(sK0,A)) = composition(one,A),
inference(paramod,[status(thm)],[c_95,c_69]) ).
cnf(c_99,plain,
join(A,composition(sK0,A)) = A,
inference(paramod,[status(thm)],[c_95,c_4096]) ).
cnf(c_100,plain,
join(complement(A),complement(A)) = complement(A),
inference(paramod,[status(thm)],[c_95,c_94]) ).
cnf(c_101,plain,
join(zero,complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_100,c_60]) ).
cnf(c_4097,plain,
join(complement(join(complement(complement(A)),A)),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_31,c_49]) ).
cnf(c_4098,plain,
join(complement(join(A,complement(complement(A)))),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_18,c_4097]) ).
cnf(c_4099,plain,
join(complement(join(A,complement(complement(A)))),zero) = complement(A),
inference(paramod,[status(thm)],[c_33,c_4098]) ).
cnf(c_104,plain,
join(zero,complement(join(A,complement(complement(A))))) = complement(A),
inference(paramod,[status(thm)],[c_18,c_4099]) ).
cnf(c_105,plain,
complement(complement(A)) = A,
inference(paramod,[status(thm)],[c_104,c_59]) ).
cnf(c_106,plain,
join(zero,complement(join(A,A))) = complement(A),
inference(paramod,[status(thm)],[c_105,c_104]) ).
cnf(c_107,plain,
join(zero,A) = A,
inference(paramod,[status(thm)],[c_105,c_101]) ).
cnf(c_108,plain,
complement(join(A,A)) = complement(A),
inference(paramod,[status(thm)],[c_107,c_106]) ).
cnf(c_4100,plain,
composition(one,A) = join(composition(one,A),composition(converse(sK1),A)),
inference(paramod,[status(thm)],[c_96,c_25]) ).
cnf(c_4101,plain,
A = join(composition(one,A),composition(converse(sK1),A)),
inference(paramod,[status(thm)],[c_95,c_4100]) ).
cnf(c_4102,plain,
A = join(A,composition(converse(sK1),A)),
inference(paramod,[status(thm)],[c_95,c_4101]) ).
cnf(c_124,plain,
join(A,composition(converse(sK1),A)) = A,
inference(copy,[status(thm)],[c_4102]) ).
cnf(c_4103,plain,
composition(one,A) = join(composition(one,A),composition(converse(sK0),A)),
inference(paramod,[status(thm)],[c_97,c_25]) ).
cnf(c_4104,plain,
A = join(composition(one,A),composition(converse(sK0),A)),
inference(paramod,[status(thm)],[c_95,c_4103]) ).
cnf(c_4105,plain,
A = join(A,composition(converse(sK0),A)),
inference(paramod,[status(thm)],[c_95,c_4104]) ).
cnf(c_127,plain,
join(A,composition(converse(sK0),A)) = A,
inference(copy,[status(thm)],[c_4105]) ).
cnf(c_4106,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_26,c_53]) ).
cnf(c_4107,plain,
composition(A,join(converse(B),converse(C))) = join(composition(A,converse(B)),composition(converse(converse(A)),converse(C))),
inference(paramod,[status(thm)],[c_26,c_4106]) ).
cnf(c_129,plain,
composition(A,join(converse(B),converse(C))) = join(composition(A,converse(B)),composition(A,converse(C))),
inference(paramod,[status(thm)],[c_26,c_4107]) ).
cnf(c_4108,plain,
join(A,B) = join(B,join(A,composition(sK1,B))),
inference(paramod,[status(thm)],[c_98,c_47]) ).
cnf(c_145,plain,
join(A,join(B,composition(sK1,A))) = join(B,A),
inference(copy,[status(thm)],[c_4108]) ).
cnf(c_4109,plain,
join(A,B) = join(B,join(A,composition(sK0,B))),
inference(paramod,[status(thm)],[c_99,c_47]) ).
cnf(c_153,plain,
join(A,join(B,composition(sK0,A))) = join(B,A),
inference(copy,[status(thm)],[c_4109]) ).
cnf(c_4110,plain,
join(complement(join(A,B)),complement(join(complement(complement(A)),complement(B)))) = complement(A),
inference(paramod,[status(thm)],[c_105,c_21]) ).
cnf(c_157,plain,
join(complement(join(A,B)),complement(join(A,complement(B)))) = complement(A),
inference(paramod,[status(thm)],[c_105,c_4110]) ).
cnf(c_4111,plain,
join(complement(join(A,B)),complement(join(complement(complement(B)),complement(A)))) = complement(B),
inference(paramod,[status(thm)],[c_105,c_48]) ).
cnf(c_159,plain,
join(complement(join(A,B)),complement(join(B,complement(A)))) = complement(B),
inference(paramod,[status(thm)],[c_105,c_4111]) ).
cnf(c_4112,plain,
join(join(A,A),complement(A)) = top,
inference(paramod,[status(thm)],[c_108,c_31]) ).
cnf(c_4113,plain,
join(A,join(A,complement(A))) = top,
inference(paramod,[status(thm)],[c_19,c_4112]) ).
cnf(c_174,plain,
join(A,top) = top,
inference(paramod,[status(thm)],[c_31,c_4113]) ).
cnf(c_4114,plain,
complement(complement(A)) = join(A,A),
inference(paramod,[status(thm)],[c_108,c_105]) ).
cnf(c_4115,plain,
A = join(A,A),
inference(paramod,[status(thm)],[c_105,c_4114]) ).
cnf(c_175,plain,
join(A,A) = A,
inference(copy,[status(thm)],[c_4115]) ).
cnf(c_4116,plain,
composition(top,A) = join(composition(B,A),composition(top,A)),
inference(paramod,[status(thm)],[c_174,c_25]) ).
cnf(c_178,plain,
join(composition(A,B),composition(top,B)) = composition(top,B),
inference(copy,[status(thm)],[c_4116]) ).
cnf(c_4117,plain,
converse(top) = join(converse(A),converse(top)),
inference(paramod,[status(thm)],[c_174,c_27]) ).
cnf(c_179,plain,
join(converse(A),converse(top)) = converse(top),
inference(copy,[status(thm)],[c_4117]) ).
cnf(c_4118,plain,
join(A,B) = join(A,join(A,B)),
inference(paramod,[status(thm)],[c_175,c_19]) ).
cnf(c_181,plain,
join(A,join(A,B)) = join(A,B),
inference(copy,[status(thm)],[c_4118]) ).
cnf(c_4119,plain,
join(A,composition(top,B)) = join(composition(C,B),join(A,composition(complement(C),B))),
inference(paramod,[status(thm)],[c_61,c_47]) ).
cnf(c_198,plain,
join(composition(A,B),join(C,composition(complement(A),B))) = join(C,composition(top,B)),
inference(copy,[status(thm)],[c_4119]) ).
cnf(c_219,plain,
join(A,converse(top)) = converse(top),
inference(paramod,[status(thm)],[c_26,c_179]) ).
cnf(c_222,plain,
join(A,converse(complement(converse(A)))) = converse(top),
inference(paramod,[status(thm)],[c_26,c_62]) ).
cnf(c_4120,plain,
join(A,converse(top)) = join(converse(B),join(A,converse(complement(B)))),
inference(paramod,[status(thm)],[c_62,c_47]) ).
cnf(c_4121,plain,
converse(top) = join(converse(B),join(A,converse(complement(B)))),
inference(paramod,[status(thm)],[c_219,c_4120]) ).
cnf(c_224,plain,
join(converse(A),join(B,converse(complement(A)))) = converse(top),
inference(copy,[status(thm)],[c_4121]) ).
cnf(c_4122,plain,
join(converse(A),join(converse(complement(A)),complement(converse(top)))) = top,
inference(paramod,[status(thm)],[c_62,c_58]) ).
cnf(c_4123,plain,
join(converse(A),join(complement(converse(top)),converse(complement(A)))) = top,
inference(paramod,[status(thm)],[c_18,c_4122]) ).
cnf(c_226,plain,
converse(top) = top,
inference(paramod,[status(thm)],[c_224,c_4123]) ).
cnf(c_230,plain,
join(A,converse(complement(converse(A)))) = top,
inference(paramod,[status(thm)],[c_226,c_222]) ).
cnf(c_238,plain,
join(converse(A),converse(complement(A))) = top,
inference(paramod,[status(thm)],[c_226,c_62]) ).
cnf(c_4124,plain,
converse(A) = join(converse(A),converse(composition(converse(sK1),A))),
inference(paramod,[status(thm)],[c_124,c_27]) ).
cnf(c_4125,plain,
converse(A) = join(converse(A),composition(converse(A),converse(converse(sK1)))),
inference(paramod,[status(thm)],[c_28,c_4124]) ).
cnf(c_4126,plain,
converse(A) = join(converse(A),composition(converse(A),sK1)),
inference(paramod,[status(thm)],[c_26,c_4125]) ).
cnf(c_302,plain,
join(converse(A),composition(converse(A),sK1)) = converse(A),
inference(copy,[status(thm)],[c_4126]) ).
cnf(c_4127,plain,
converse(A) = join(converse(A),converse(composition(converse(sK0),A))),
inference(paramod,[status(thm)],[c_127,c_27]) ).
cnf(c_4128,plain,
converse(A) = join(converse(A),composition(converse(A),converse(converse(sK0)))),
inference(paramod,[status(thm)],[c_28,c_4127]) ).
cnf(c_4129,plain,
converse(A) = join(converse(A),composition(converse(A),sK0)),
inference(paramod,[status(thm)],[c_26,c_4128]) ).
cnf(c_323,plain,
join(converse(A),composition(converse(A),sK0)) = converse(A),
inference(copy,[status(thm)],[c_4129]) ).
cnf(c_4130,plain,
composition(A,join(B,converse(C))) = join(composition(A,converse(converse(B))),composition(A,converse(C))),
inference(paramod,[status(thm)],[c_26,c_129]) ).
cnf(c_444,plain,
composition(A,join(B,converse(C))) = join(composition(A,B),composition(A,converse(C))),
inference(paramod,[status(thm)],[c_26,c_4130]) ).
cnf(c_460,plain,
join(A,composition(top,A)) = composition(top,A),
inference(paramod,[status(thm)],[c_95,c_178]) ).
cnf(c_4131,plain,
join(A,composition(top,B)) = join(B,join(A,composition(top,B))),
inference(paramod,[status(thm)],[c_460,c_47]) ).
cnf(c_464,plain,
join(A,join(B,composition(top,A))) = join(B,composition(top,A)),
inference(copy,[status(thm)],[c_4131]) ).
cnf(c_4132,plain,
join(A,composition(converse(converse(A)),sK1)) = converse(converse(A)),
inference(paramod,[status(thm)],[c_26,c_302]) ).
cnf(c_4133,plain,
join(A,composition(A,sK1)) = converse(converse(A)),
inference(paramod,[status(thm)],[c_26,c_4132]) ).
cnf(c_706,plain,
join(A,composition(A,sK1)) = A,
inference(paramod,[status(thm)],[c_26,c_4133]) ).
cnf(c_4134,plain,
join(A,composition(converse(converse(A)),sK0)) = converse(converse(A)),
inference(paramod,[status(thm)],[c_26,c_323]) ).
cnf(c_4135,plain,
join(A,composition(A,sK0)) = converse(converse(A)),
inference(paramod,[status(thm)],[c_26,c_4134]) ).
cnf(c_729,plain,
join(A,composition(A,sK0)) = A,
inference(paramod,[status(thm)],[c_26,c_4135]) ).
cnf(c_4136,plain,
join(complement(join(A,B)),complement(A)) = join(complement(join(A,B)),complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_157,c_181]) ).
cnf(c_4137,plain,
join(complement(A),complement(join(A,B))) = join(complement(join(A,B)),complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_18,c_4136]) ).
cnf(c_750,plain,
join(complement(A),complement(join(A,B))) = complement(A),
inference(paramod,[status(thm)],[c_157,c_4137]) ).
cnf(c_4138,plain,
join(complement(join(A,B)),complement(B)) = join(complement(join(A,B)),complement(join(B,complement(A)))),
inference(paramod,[status(thm)],[c_159,c_181]) ).
cnf(c_4139,plain,
join(complement(B),complement(join(A,B))) = join(complement(join(A,B)),complement(join(B,complement(A)))),
inference(paramod,[status(thm)],[c_18,c_4138]) ).
cnf(c_831,plain,
join(complement(A),complement(join(B,A))) = complement(A),
inference(paramod,[status(thm)],[c_159,c_4139]) ).
cnf(c_4140,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_159,c_157]) ).
cnf(c_4141,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_105,c_4140]) ).
cnf(c_4142,plain,
join(A,complement(join(complement(join(B,A)),join(A,complement(B))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_105,c_4141]) ).
cnf(c_4143,plain,
join(A,complement(join(join(A,complement(B)),complement(join(B,A))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_18,c_4142]) ).
cnf(c_4144,plain,
join(A,complement(join(A,join(complement(B),complement(join(B,A)))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_19,c_4143]) ).
cnf(c_4145,plain,
join(A,complement(join(A,complement(B)))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_750,c_4144]) ).
cnf(c_845,plain,
join(A,complement(join(A,complement(B)))) = join(B,A),
inference(paramod,[status(thm)],[c_105,c_4145]) ).
cnf(c_4146,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_159,c_159]) ).
cnf(c_4147,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_105,c_4146]) ).
cnf(c_4148,plain,
join(A,complement(join(complement(join(A,complement(B))),join(B,A)))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_105,c_4147]) ).
cnf(c_4149,plain,
join(A,complement(join(join(B,A),complement(join(A,complement(B)))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_18,c_4148]) ).
cnf(c_4150,plain,
join(A,complement(join(B,join(A,complement(join(A,complement(B))))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_19,c_4149]) ).
cnf(c_4151,plain,
join(A,complement(join(B,join(B,A)))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_845,c_4150]) ).
cnf(c_4152,plain,
join(A,complement(join(B,A))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_181,c_4151]) ).
cnf(c_850,plain,
join(A,complement(join(B,A))) = join(A,complement(B)),
inference(paramod,[status(thm)],[c_105,c_4152]) ).
cnf(c_4153,plain,
join(complement(composition(sK0,A)),complement(A)) = complement(composition(sK0,A)),
inference(paramod,[status(thm)],[c_99,c_831]) ).
cnf(c_937,plain,
join(complement(A),complement(composition(sK0,A))) = complement(composition(sK0,A)),
inference(paramod,[status(thm)],[c_18,c_4153]) ).
cnf(c_4154,plain,
join(composition(A,sK1),complement(A)) = join(complement(A),composition(top,sK1)),
inference(paramod,[status(thm)],[c_706,c_198]) ).
cnf(c_4155,plain,
join(complement(A),composition(A,sK1)) = join(complement(A),composition(top,sK1)),
inference(paramod,[status(thm)],[c_18,c_4154]) ).
cnf(c_1124,plain,
join(complement(A),composition(top,sK1)) = join(complement(A),composition(A,sK1)),
inference(copy,[status(thm)],[c_4155]) ).
cnf(c_4156,plain,
join(composition(A,sK0),complement(A)) = join(complement(A),composition(top,sK0)),
inference(paramod,[status(thm)],[c_729,c_198]) ).
cnf(c_4157,plain,
join(complement(A),composition(A,sK0)) = join(complement(A),composition(top,sK0)),
inference(paramod,[status(thm)],[c_18,c_4156]) ).
cnf(c_1125,plain,
join(complement(A),composition(top,sK0)) = join(complement(A),composition(A,sK0)),
inference(copy,[status(thm)],[c_4157]) ).
cnf(c_1465,plain,
join(A,complement(join(A,B))) = join(A,complement(B)),
inference(paramod,[status(thm)],[c_18,c_850]) ).
cnf(c_4158,plain,
join(converse(complement(A)),complement(top)) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_238,c_850]) ).
cnf(c_4159,plain,
join(converse(complement(A)),zero) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_33,c_4158]) ).
cnf(c_4160,plain,
join(zero,converse(complement(A))) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_18,c_4159]) ).
cnf(c_4161,plain,
converse(complement(A)) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_107,c_4160]) ).
cnf(c_4162,plain,
converse(complement(A)) = join(complement(converse(A)),converse(complement(A))),
inference(paramod,[status(thm)],[c_18,c_4161]) ).
cnf(c_1475,plain,
join(complement(converse(A)),converse(complement(A))) = converse(complement(A)),
inference(copy,[status(thm)],[c_4162]) ).
cnf(c_4163,plain,
join(converse(complement(converse(A))),complement(top)) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_230,c_850]) ).
cnf(c_4164,plain,
join(converse(complement(converse(A))),zero) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_33,c_4163]) ).
cnf(c_4165,plain,
join(zero,converse(complement(converse(A)))) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_18,c_4164]) ).
cnf(c_4166,plain,
converse(complement(converse(A))) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_107,c_4165]) ).
cnf(c_4167,plain,
converse(complement(converse(A))) = join(complement(A),converse(complement(converse(A)))),
inference(paramod,[status(thm)],[c_18,c_4166]) ).
cnf(c_1483,plain,
join(complement(A),converse(complement(converse(A)))) = converse(complement(converse(A))),
inference(copy,[status(thm)],[c_4167]) ).
cnf(c_4168,plain,
join(sK1,join(complement(sK0),composition(top,sK1))) = join(complement(sK0),sK1),
inference(paramod,[status(thm)],[c_1124,c_153]) ).
cnf(c_4169,plain,
join(complement(sK0),composition(top,sK1)) = join(complement(sK0),sK1),
inference(paramod,[status(thm)],[c_464,c_4168]) ).
cnf(c_1594,plain,
join(complement(sK0),composition(top,sK1)) = join(sK1,complement(sK0)),
inference(paramod,[status(thm)],[c_18,c_4169]) ).
cnf(c_4170,plain,
join(sK1,complement(sK0)) = join(complement(sK0),composition(sK0,sK1)),
inference(paramod,[status(thm)],[c_1594,c_1124]) ).
cnf(c_1662,plain,
join(complement(sK0),composition(sK0,sK1)) = join(sK1,complement(sK0)),
inference(copy,[status(thm)],[c_4170]) ).
cnf(c_4171,plain,
join(complement(join(sK1,complement(sK0))),complement(join(composition(sK0,sK1),complement(complement(sK0))))) = complement(composition(sK0,sK1)),
inference(paramod,[status(thm)],[c_1662,c_159]) ).
cnf(c_4172,plain,
join(complement(join(sK1,complement(sK0))),complement(join(composition(sK0,sK1),sK0))) = complement(composition(sK0,sK1)),
inference(paramod,[status(thm)],[c_105,c_4171]) ).
cnf(c_4173,plain,
join(complement(join(sK1,complement(sK0))),complement(join(sK0,composition(sK0,sK1)))) = complement(composition(sK0,sK1)),
inference(paramod,[status(thm)],[c_18,c_4172]) ).
cnf(c_4174,plain,
join(complement(join(sK1,complement(sK0))),complement(sK0)) = complement(composition(sK0,sK1)),
inference(paramod,[status(thm)],[c_706,c_4173]) ).
cnf(c_4175,plain,
join(complement(sK0),complement(join(sK1,complement(sK0)))) = complement(composition(sK0,sK1)),
inference(paramod,[status(thm)],[c_18,c_4174]) ).
cnf(c_4176,plain,
join(complement(sK0),complement(sK1)) = complement(composition(sK0,sK1)),
inference(paramod,[status(thm)],[c_850,c_4175]) ).
cnf(c_1693,plain,
complement(composition(sK0,sK1)) = join(complement(sK0),complement(sK1)),
inference(copy,[status(thm)],[c_4176]) ).
cnf(c_4177,plain,
complement(join(complement(sK0),complement(sK1))) = composition(sK0,sK1),
inference(paramod,[status(thm)],[c_1693,c_105]) ).
cnf(c_1702,plain,
composition(sK0,sK1) = complement(join(complement(sK0),complement(sK1))),
inference(copy,[status(thm)],[c_4177]) ).
cnf(c_1720,plain,
composition(complement(join(complement(sK0),complement(sK1))),A) = composition(sK0,composition(sK1,A)),
inference(paramod,[status(thm)],[c_1702,c_23]) ).
cnf(c_1725,negated_conjecture,
composition(sK0,composition(sK1,sK2)) != complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))),
inference(paramod,[status(thm)],[c_1720,c_45]) ).
cnf(c_4178,plain,
join(sK0,join(complement(sK1),composition(top,sK0))) = join(complement(sK1),sK0),
inference(paramod,[status(thm)],[c_1125,c_145]) ).
cnf(c_4179,plain,
join(complement(sK1),composition(top,sK0)) = join(complement(sK1),sK0),
inference(paramod,[status(thm)],[c_464,c_4178]) ).
cnf(c_1737,plain,
join(complement(sK1),composition(top,sK0)) = join(sK0,complement(sK1)),
inference(paramod,[status(thm)],[c_18,c_4179]) ).
cnf(c_4180,plain,
join(sK0,complement(sK1)) = join(complement(sK1),composition(sK1,sK0)),
inference(paramod,[status(thm)],[c_1737,c_1125]) ).
cnf(c_1779,plain,
join(complement(sK1),composition(sK1,sK0)) = join(sK0,complement(sK1)),
inference(copy,[status(thm)],[c_4180]) ).
cnf(c_4181,plain,
join(complement(join(sK0,complement(sK1))),complement(join(composition(sK1,sK0),complement(complement(sK1))))) = complement(composition(sK1,sK0)),
inference(paramod,[status(thm)],[c_1779,c_159]) ).
cnf(c_4182,plain,
join(complement(join(sK0,complement(sK1))),complement(join(composition(sK1,sK0),sK1))) = complement(composition(sK1,sK0)),
inference(paramod,[status(thm)],[c_105,c_4181]) ).
cnf(c_4183,plain,
join(complement(join(sK0,complement(sK1))),complement(join(sK1,composition(sK1,sK0)))) = complement(composition(sK1,sK0)),
inference(paramod,[status(thm)],[c_18,c_4182]) ).
cnf(c_4184,plain,
join(complement(join(sK0,complement(sK1))),complement(sK1)) = complement(composition(sK1,sK0)),
inference(paramod,[status(thm)],[c_729,c_4183]) ).
cnf(c_4185,plain,
join(complement(sK1),complement(join(sK0,complement(sK1)))) = complement(composition(sK1,sK0)),
inference(paramod,[status(thm)],[c_18,c_4184]) ).
cnf(c_4186,plain,
join(complement(sK1),complement(sK0)) = complement(composition(sK1,sK0)),
inference(paramod,[status(thm)],[c_850,c_4185]) ).
cnf(c_4187,plain,
join(complement(sK0),complement(sK1)) = complement(composition(sK1,sK0)),
inference(paramod,[status(thm)],[c_18,c_4186]) ).
cnf(c_1798,plain,
complement(composition(sK1,sK0)) = join(complement(sK0),complement(sK1)),
inference(copy,[status(thm)],[c_4187]) ).
cnf(c_4188,plain,
complement(join(complement(sK0),complement(sK1))) = composition(sK1,sK0),
inference(paramod,[status(thm)],[c_1798,c_105]) ).
cnf(c_1801,plain,
composition(sK1,sK0) = complement(join(complement(sK0),complement(sK1))),
inference(copy,[status(thm)],[c_4188]) ).
cnf(c_4189,plain,
composition(complement(join(complement(sK0),complement(sK1))),A) = composition(sK1,composition(sK0,A)),
inference(paramod,[status(thm)],[c_1801,c_23]) ).
cnf(c_4190,plain,
composition(sK0,composition(sK1,A)) = composition(sK1,composition(sK0,A)),
inference(paramod,[status(thm)],[c_1720,c_4189]) ).
cnf(c_1804,plain,
composition(sK1,composition(sK0,A)) = composition(sK0,composition(sK1,A)),
inference(copy,[status(thm)],[c_4190]) ).
cnf(c_4191,plain,
composition(A,top) = join(composition(A,B),composition(A,converse(complement(converse(B))))),
inference(paramod,[status(thm)],[c_230,c_444]) ).
cnf(c_2334,plain,
join(composition(A,B),composition(A,converse(complement(converse(B))))) = composition(A,top),
inference(copy,[status(thm)],[c_4191]) ).
cnf(c_4192,plain,
converse(converse(complement(A))) = join(converse(complement(converse(A))),converse(converse(complement(A)))),
inference(paramod,[status(thm)],[c_1475,c_27]) ).
cnf(c_4193,plain,
complement(A) = join(converse(complement(converse(A))),converse(converse(complement(A)))),
inference(paramod,[status(thm)],[c_26,c_4192]) ).
cnf(c_4194,plain,
complement(A) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_26,c_4193]) ).
cnf(c_4195,plain,
complement(A) = join(complement(A),converse(complement(converse(A)))),
inference(paramod,[status(thm)],[c_18,c_4194]) ).
cnf(c_4196,plain,
complement(A) = converse(complement(converse(A))),
inference(paramod,[status(thm)],[c_1483,c_4195]) ).
cnf(c_2597,plain,
converse(complement(converse(A))) = complement(A),
inference(copy,[status(thm)],[c_4196]) ).
cnf(c_2600,plain,
join(composition(A,B),composition(A,complement(B))) = composition(A,top),
inference(paramod,[status(thm)],[c_2597,c_2334]) ).
cnf(c_4197,plain,
join(complement(composition(sK0,A)),B) = join(complement(A),join(complement(composition(sK0,A)),B)),
inference(paramod,[status(thm)],[c_937,c_19]) ).
cnf(c_3264,plain,
join(complement(A),join(complement(composition(sK0,A)),B)) = join(complement(composition(sK0,A)),B),
inference(copy,[status(thm)],[c_4197]) ).
cnf(c_4198,plain,
join(complement(A),composition(sK1,top)) = join(composition(sK1,A),complement(A)),
inference(paramod,[status(thm)],[c_2600,c_145]) ).
cnf(c_3490,plain,
join(complement(A),composition(sK1,top)) = join(complement(A),composition(sK1,A)),
inference(paramod,[status(thm)],[c_18,c_4198]) ).
cnf(c_4199,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_3490,c_159]) ).
cnf(c_4200,plain,
join(complement(join(complement(A),composition(sK1,top))),complement(join(composition(sK1,A),A))) = complement(composition(sK1,A)),
inference(paramod,[status(thm)],[c_105,c_4199]) ).
cnf(c_4201,plain,
join(complement(join(complement(A),composition(sK1,top))),complement(join(A,composition(sK1,A)))) = complement(composition(sK1,A)),
inference(paramod,[status(thm)],[c_18,c_4200]) ).
cnf(c_4202,plain,
join(complement(join(complement(A),composition(sK1,top))),complement(A)) = complement(composition(sK1,A)),
inference(paramod,[status(thm)],[c_98,c_4201]) ).
cnf(c_4203,plain,
join(complement(A),complement(join(complement(A),composition(sK1,top)))) = complement(composition(sK1,A)),
inference(paramod,[status(thm)],[c_18,c_4202]) ).
cnf(c_4204,plain,
join(complement(A),complement(composition(sK1,top))) = complement(composition(sK1,A)),
inference(paramod,[status(thm)],[c_1465,c_4203]) ).
cnf(c_3517,plain,
complement(composition(sK1,A)) = join(complement(A),complement(composition(sK1,top))),
inference(copy,[status(thm)],[c_4204]) ).
cnf(c_4205,plain,
composition(sK0,composition(sK1,sK2)) != complement(join(complement(composition(sK0,sK2)),join(complement(sK2),complement(composition(sK1,top))))),
inference(paramod,[status(thm)],[c_3517,c_1725]) ).
cnf(c_4206,plain,
composition(sK0,composition(sK1,sK2)) != complement(join(complement(sK2),join(complement(composition(sK0,sK2)),complement(composition(sK1,top))))),
inference(paramod,[status(thm)],[c_47,c_4205]) ).
cnf(c_4057,plain,
composition(sK0,composition(sK1,sK2)) != complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,top)))),
inference(paramod,[status(thm)],[c_3264,c_4206]) ).
cnf(c_4207,plain,
composition(sK0,composition(sK1,sK2)) != complement(complement(composition(sK1,composition(sK0,sK2)))),
inference(paramod,[status(thm)],[c_3517,c_4057]) ).
cnf(c_4208,plain,
composition(sK0,composition(sK1,sK2)) != complement(complement(composition(sK0,composition(sK1,sK2)))),
inference(paramod,[status(thm)],[c_1804,c_4207]) ).
cnf(c_4209,plain,
composition(sK0,composition(sK1,sK2)) != composition(sK0,composition(sK1,sK2)),
inference(paramod,[status(thm)],[c_105,c_4208]) ).
cnf(c_4070,plain,
$false,
inference(copy,[status(thm)],[c_4209]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL029+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n012.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 05:33:35 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 4000579 was started by sandbox on n012,
% 0.09/0.35 % Sat Sep 26 05:33:35 2026
% 0.09/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.36
% 0.12/0.36 % From the command line: assign(max_seconds, 300).
% 13.48/2.11
% 13.48/2.11 % given #500 (T,wt=20): 2534 complement(composition(c1,complement(one))) = join(one,complement(composition(c1,top))). [back_rewrite(2285),rewrite([2529(7),2260(6)]),flip(a)].
% 13.48/2.11
% 13.48/2.11 % SZS status Theorem for theBenchmark
% 13.48/2.11
% 13.48/2.11 % Proof 1 at 1.32 (+ 0.40) seconds.
% 13.48/2.11 % Length of proof is 120.
% 13.48/2.11 % Level of proof is 22.
% 13.48/2.11 % Maximum clause weight is 30.000.
% 13.48/2.11 % Given clauses 562.
% 13.48/2.11
% 13.48/2.11 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------