%------------------------------------------------------------------------------
% 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/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 : Unsatisfiable 25.30s 4.11s
% Output : CNFRefutation 25.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 16
% Syntax : Number of formulae : 266 ( 266 unt; 0 def)
% Number of atoms : 266 ( 265 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 12 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 316 ( 10 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity_1,axiom,
! [VAR_0,VAR_1] : join(VAR_0,VAR_1) = join(VAR_1,VAR_0),
file('theBenchmark.p',maddux1_join_commutativity_1) ).
cnf(c_1,plain,
join(A,B) = join(B,A),
inference(clausify,[status(thm)],[maddux1_join_commutativity_1]) ).
fof(maddux2_join_associativity_2,axiom,
! [VAR_0,VAR_1,VAR_2] : join(VAR_0,join(VAR_1,VAR_2)) = join(join(VAR_0,VAR_1),VAR_2),
file('theBenchmark.p',maddux2_join_associativity_2) ).
cnf(c_2,plain,
join(A,join(B,C)) = join(join(A,B),C),
inference(clausify,[status(thm)],[maddux2_join_associativity_2]) ).
cnf(c_3,plain,
join(join(A,B),C) = join(A,join(B,C)),
inference(copy,[status(thm)],[c_2]) ).
fof(maddux3_a_kind_of_de_Morgan_3,axiom,
! [VAR_0,VAR_1] : VAR_0 = join(complement(join(complement(VAR_0),complement(VAR_1))),complement(join(complement(VAR_0),VAR_1))),
file('theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).
cnf(c_4,plain,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
inference(clausify,[status(thm)],[maddux3_a_kind_of_de_Morgan_3]) ).
cnf(c_4053,plain,
A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
inference(paramod,[status(thm)],[c_1,c_4]) ).
cnf(c_5,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = A,
inference(copy,[status(thm)],[c_4053]) ).
fof(maddux4_definiton_of_meet_4,axiom,
! [VAR_0,VAR_1] : meet(VAR_0,VAR_1) = complement(join(complement(VAR_0),complement(VAR_1))),
file('theBenchmark.p',maddux4_definiton_of_meet_4) ).
cnf(c_6,plain,
meet(A,B) = complement(join(complement(A),complement(B))),
inference(clausify,[status(thm)],[maddux4_definiton_of_meet_4]) ).
fof(composition_associativity_5,axiom,
! [VAR_0,VAR_1,VAR_2] : composition(VAR_0,composition(VAR_1,VAR_2)) = composition(composition(VAR_0,VAR_1),VAR_2),
file('theBenchmark.p',composition_associativity_5) ).
cnf(c_7,plain,
composition(A,composition(B,C)) = composition(composition(A,B),C),
inference(clausify,[status(thm)],[composition_associativity_5]) ).
cnf(c_8,plain,
composition(composition(A,B),C) = composition(A,composition(B,C)),
inference(copy,[status(thm)],[c_7]) ).
fof(composition_identity_6,axiom,
! [VAR_0] : composition(VAR_0,one) = VAR_0,
file('theBenchmark.p',composition_identity_6) ).
cnf(c_9,plain,
composition(A,one) = A,
inference(clausify,[status(thm)],[composition_identity_6]) ).
fof(composition_distributivity_7,axiom,
! [VAR_0,VAR_1,VAR_2] : composition(join(VAR_0,VAR_1),VAR_2) = join(composition(VAR_0,VAR_2),composition(VAR_1,VAR_2)),
file('theBenchmark.p',composition_distributivity_7) ).
cnf(c_10,plain,
composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
inference(clausify,[status(thm)],[composition_distributivity_7]) ).
fof(converse_idempotence_8,axiom,
! [VAR_0] : converse(converse(VAR_0)) = VAR_0,
file('theBenchmark.p',converse_idempotence_8) ).
cnf(c_11,plain,
converse(converse(A)) = A,
inference(clausify,[status(thm)],[converse_idempotence_8]) ).
fof(converse_additivity_9,axiom,
! [VAR_0,VAR_1] : converse(join(VAR_0,VAR_1)) = join(converse(VAR_0),converse(VAR_1)),
file('theBenchmark.p',converse_additivity_9) ).
cnf(c_12,plain,
converse(join(A,B)) = join(converse(A),converse(B)),
inference(clausify,[status(thm)],[converse_additivity_9]) ).
fof(converse_multiplicativity_10,axiom,
! [VAR_0,VAR_1] : converse(composition(VAR_0,VAR_1)) = composition(converse(VAR_1),converse(VAR_0)),
file('theBenchmark.p',converse_multiplicativity_10) ).
cnf(c_13,plain,
converse(composition(A,B)) = composition(converse(B),converse(A)),
inference(clausify,[status(thm)],[converse_multiplicativity_10]) ).
fof(converse_cancellativity_11,axiom,
! [VAR_0,VAR_1] : join(composition(converse(VAR_0),complement(composition(VAR_0,VAR_1))),complement(VAR_1)) = complement(VAR_1),
file('theBenchmark.p',converse_cancellativity_11) ).
cnf(c_14,plain,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
inference(clausify,[status(thm)],[converse_cancellativity_11]) ).
cnf(c_15,plain,
join(complement(A),composition(converse(B),complement(composition(B,A)))) = complement(A),
inference(paramod,[status(thm)],[c_1,c_14]) ).
fof(def_top_12,axiom,
! [VAR_0] : top = join(VAR_0,complement(VAR_0)),
file('theBenchmark.p',def_top_12) ).
cnf(c_16,plain,
top = join(A,complement(A)),
inference(clausify,[status(thm)],[def_top_12]) ).
cnf(c_17,plain,
join(A,complement(A)) = top,
inference(copy,[status(thm)],[c_16]) ).
fof(def_zero_13,axiom,
! [VAR_0] : zero = meet(VAR_0,complement(VAR_0)),
file('theBenchmark.p',def_zero_13) ).
cnf(c_18,plain,
zero = meet(A,complement(A)),
inference(clausify,[status(thm)],[def_zero_13]) ).
cnf(c_4054,plain,
zero = complement(join(complement(A),complement(complement(A)))),
inference(paramod,[status(thm)],[c_6,c_18]) ).
cnf(c_4055,plain,
zero = complement(top),
inference(paramod,[status(thm)],[c_17,c_4054]) ).
cnf(c_19,plain,
complement(top) = zero,
inference(copy,[status(thm)],[c_4055]) ).
fof(goals_17,axiom,
join(sk1,one) = one,
file('theBenchmark.p',goals_17) ).
cnf(c_26,plain,
join(sk1,one) = one,
inference(clausify,[status(thm)],[goals_17]) ).
cnf(c_27,plain,
join(one,sk1) = one,
inference(paramod,[status(thm)],[c_1,c_26]) ).
fof(goals_18,axiom,
join(sk2,one) = one,
file('theBenchmark.p',goals_18) ).
cnf(c_28,plain,
join(sk2,one) = one,
inference(clausify,[status(thm)],[goals_18]) ).
cnf(c_29,plain,
join(one,sk2) = one,
inference(paramod,[status(thm)],[c_1,c_28]) ).
fof(goals_19,axiom,
meet(composition(sk1,sk3),composition(sk2,sk3)) != composition(meet(sk1,sk2),sk3),
file('theBenchmark.p',goals_19) ).
cnf(c_30,plain,
meet(composition(sk1,sk3),composition(sk2,sk3)) != composition(meet(sk1,sk2),sk3),
inference(clausify,[status(thm)],[goals_19]) ).
cnf(c_4056,plain,
complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))) != composition(meet(sk1,sk2),sk3),
inference(paramod,[status(thm)],[c_6,c_30]) ).
cnf(c_4057,plain,
complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))) != composition(complement(join(complement(sk1),complement(sk2))),sk3),
inference(paramod,[status(thm)],[c_6,c_4056]) ).
cnf(c_31,plain,
composition(complement(join(complement(sk1),complement(sk2))),sk3) != complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))),
inference(copy,[status(thm)],[c_4057]) ).
cnf(c_4058,plain,
join(join(A,B),C) = join(B,join(A,C)),
inference(paramod,[status(thm)],[c_1,c_3]) ).
cnf(c_33,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(paramod,[status(thm)],[c_3,c_4058]) ).
cnf(c_34,plain,
join(complement(join(A,complement(B))),complement(join(complement(B),complement(A)))) = B,
inference(paramod,[status(thm)],[c_1,c_5]) ).
cnf(c_35,plain,
join(complement(join(complement(A),B)),complement(join(complement(B),complement(A)))) = A,
inference(paramod,[status(thm)],[c_1,c_5]) ).
cnf(c_4059,plain,
converse(A) = composition(converse(one),converse(A)),
inference(paramod,[status(thm)],[c_9,c_13]) ).
cnf(c_38,plain,
composition(converse(one),converse(A)) = converse(A),
inference(copy,[status(thm)],[c_4059]) ).
cnf(c_4060,plain,
converse(join(composition(A,B),composition(C,B))) = composition(converse(B),converse(join(A,C))),
inference(paramod,[status(thm)],[c_10,c_13]) ).
cnf(c_4061,plain,
join(converse(composition(A,B)),converse(composition(C,B))) = composition(converse(B),converse(join(A,C))),
inference(paramod,[status(thm)],[c_12,c_4060]) ).
cnf(c_4062,plain,
join(composition(converse(B),converse(A)),converse(composition(C,B))) = composition(converse(B),converse(join(A,C))),
inference(paramod,[status(thm)],[c_13,c_4061]) ).
cnf(c_4063,plain,
join(composition(converse(B),converse(A)),composition(converse(B),converse(C))) = composition(converse(B),converse(join(A,C))),
inference(paramod,[status(thm)],[c_13,c_4062]) ).
cnf(c_4064,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_12,c_4063]) ).
cnf(c_39,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_4064]) ).
cnf(c_4065,plain,
top = join(A,join(B,complement(join(A,B)))),
inference(paramod,[status(thm)],[c_17,c_3]) ).
cnf(c_44,plain,
join(A,join(B,complement(join(A,B)))) = top,
inference(copy,[status(thm)],[c_4065]) ).
cnf(c_4066,plain,
join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_17,c_5]) ).
cnf(c_45,plain,
join(zero,complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_19,c_4066]) ).
cnf(c_4067,plain,
join(complement(join(complement(A),complement(A))),complement(top)) = A,
inference(paramod,[status(thm)],[c_17,c_5]) ).
cnf(c_4068,plain,
join(complement(join(complement(A),complement(A))),zero) = A,
inference(paramod,[status(thm)],[c_19,c_4067]) ).
cnf(c_46,plain,
join(zero,complement(join(complement(A),complement(A)))) = A,
inference(paramod,[status(thm)],[c_1,c_4068]) ).
cnf(c_4069,plain,
composition(top,A) = join(composition(B,A),composition(complement(B),A)),
inference(paramod,[status(thm)],[c_17,c_10]) ).
cnf(c_47,plain,
join(composition(A,B),composition(complement(A),B)) = composition(top,B),
inference(copy,[status(thm)],[c_4069]) ).
cnf(c_4070,plain,
converse(top) = join(converse(A),converse(complement(A))),
inference(paramod,[status(thm)],[c_17,c_12]) ).
cnf(c_48,plain,
join(converse(A),converse(complement(A))) = converse(top),
inference(copy,[status(thm)],[c_4070]) ).
cnf(c_4071,plain,
composition(one,A) = join(composition(one,A),composition(sk1,A)),
inference(paramod,[status(thm)],[c_27,c_10]) ).
cnf(c_55,plain,
join(composition(one,A),composition(sk1,A)) = composition(one,A),
inference(copy,[status(thm)],[c_4071]) ).
cnf(c_4072,plain,
converse(one) = join(converse(one),converse(sk1)),
inference(paramod,[status(thm)],[c_27,c_12]) ).
cnf(c_56,plain,
join(converse(one),converse(sk1)) = converse(one),
inference(copy,[status(thm)],[c_4072]) ).
cnf(c_4073,plain,
composition(one,A) = join(composition(one,A),composition(sk2,A)),
inference(paramod,[status(thm)],[c_29,c_10]) ).
cnf(c_59,plain,
join(composition(one,A),composition(sk2,A)) = composition(one,A),
inference(copy,[status(thm)],[c_4073]) ).
cnf(c_4074,plain,
converse(one) = join(converse(one),converse(sk2)),
inference(paramod,[status(thm)],[c_29,c_12]) ).
cnf(c_60,plain,
join(converse(one),converse(sk2)) = converse(one),
inference(copy,[status(thm)],[c_4074]) ).
cnf(c_4075,plain,
composition(converse(one),A) = converse(converse(A)),
inference(paramod,[status(thm)],[c_11,c_38]) ).
cnf(c_74,plain,
composition(converse(one),A) = A,
inference(paramod,[status(thm)],[c_11,c_4075]) ).
cnf(c_4076,plain,
one = converse(one),
inference(paramod,[status(thm)],[c_74,c_9]) ).
cnf(c_76,plain,
converse(one) = one,
inference(copy,[status(thm)],[c_4076]) ).
cnf(c_80,plain,
join(complement(A),complement(composition(one,A))) = complement(A),
inference(paramod,[status(thm)],[c_74,c_15]) ).
cnf(c_81,plain,
composition(one,A) = A,
inference(paramod,[status(thm)],[c_76,c_74]) ).
cnf(c_4077,plain,
join(one,converse(sk2)) = converse(one),
inference(paramod,[status(thm)],[c_76,c_60]) ).
cnf(c_82,plain,
join(one,converse(sk2)) = one,
inference(paramod,[status(thm)],[c_76,c_4077]) ).
cnf(c_4078,plain,
join(one,converse(sk1)) = converse(one),
inference(paramod,[status(thm)],[c_76,c_56]) ).
cnf(c_83,plain,
join(one,converse(sk1)) = one,
inference(paramod,[status(thm)],[c_76,c_4078]) ).
cnf(c_4079,plain,
join(A,composition(sk2,A)) = composition(one,A),
inference(paramod,[status(thm)],[c_81,c_59]) ).
cnf(c_84,plain,
join(A,composition(sk2,A)) = A,
inference(paramod,[status(thm)],[c_81,c_4079]) ).
cnf(c_4080,plain,
join(A,composition(sk1,A)) = composition(one,A),
inference(paramod,[status(thm)],[c_81,c_55]) ).
cnf(c_85,plain,
join(A,composition(sk1,A)) = A,
inference(paramod,[status(thm)],[c_81,c_4080]) ).
cnf(c_86,plain,
join(complement(A),complement(A)) = complement(A),
inference(paramod,[status(thm)],[c_81,c_80]) ).
cnf(c_87,plain,
join(zero,complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_86,c_46]) ).
cnf(c_4081,plain,
join(complement(join(complement(complement(A)),A)),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_17,c_35]) ).
cnf(c_4082,plain,
join(complement(join(A,complement(complement(A)))),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_1,c_4081]) ).
cnf(c_4083,plain,
join(complement(join(A,complement(complement(A)))),zero) = complement(A),
inference(paramod,[status(thm)],[c_19,c_4082]) ).
cnf(c_90,plain,
join(zero,complement(join(A,complement(complement(A))))) = complement(A),
inference(paramod,[status(thm)],[c_1,c_4083]) ).
cnf(c_91,plain,
complement(complement(A)) = A,
inference(paramod,[status(thm)],[c_90,c_45]) ).
cnf(c_92,plain,
join(zero,complement(join(A,A))) = complement(A),
inference(paramod,[status(thm)],[c_91,c_90]) ).
cnf(c_93,plain,
join(zero,A) = A,
inference(paramod,[status(thm)],[c_91,c_87]) ).
cnf(c_94,plain,
complement(join(A,A)) = complement(A),
inference(paramod,[status(thm)],[c_93,c_92]) ).
cnf(c_4084,plain,
composition(one,A) = join(composition(one,A),composition(converse(sk2),A)),
inference(paramod,[status(thm)],[c_82,c_10]) ).
cnf(c_4085,plain,
A = join(composition(one,A),composition(converse(sk2),A)),
inference(paramod,[status(thm)],[c_81,c_4084]) ).
cnf(c_4086,plain,
A = join(A,composition(converse(sk2),A)),
inference(paramod,[status(thm)],[c_81,c_4085]) ).
cnf(c_110,plain,
join(A,composition(converse(sk2),A)) = A,
inference(copy,[status(thm)],[c_4086]) ).
cnf(c_4087,plain,
composition(one,A) = join(composition(one,A),composition(converse(sk1),A)),
inference(paramod,[status(thm)],[c_83,c_10]) ).
cnf(c_4088,plain,
A = join(composition(one,A),composition(converse(sk1),A)),
inference(paramod,[status(thm)],[c_81,c_4087]) ).
cnf(c_4089,plain,
A = join(A,composition(converse(sk1),A)),
inference(paramod,[status(thm)],[c_81,c_4088]) ).
cnf(c_113,plain,
join(A,composition(converse(sk1),A)) = A,
inference(copy,[status(thm)],[c_4089]) ).
cnf(c_4090,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_11,c_39]) ).
cnf(c_4091,plain,
composition(A,join(converse(B),converse(C))) = join(composition(A,converse(B)),composition(converse(converse(A)),converse(C))),
inference(paramod,[status(thm)],[c_11,c_4090]) ).
cnf(c_115,plain,
composition(A,join(converse(B),converse(C))) = join(composition(A,converse(B)),composition(A,converse(C))),
inference(paramod,[status(thm)],[c_11,c_4091]) ).
cnf(c_4092,plain,
join(A,B) = join(B,join(A,composition(sk2,B))),
inference(paramod,[status(thm)],[c_84,c_33]) ).
cnf(c_131,plain,
join(A,join(B,composition(sk2,A))) = join(B,A),
inference(copy,[status(thm)],[c_4092]) ).
cnf(c_4093,plain,
join(A,B) = join(B,join(A,composition(sk1,B))),
inference(paramod,[status(thm)],[c_85,c_33]) ).
cnf(c_139,plain,
join(A,join(B,composition(sk1,A))) = join(B,A),
inference(copy,[status(thm)],[c_4093]) ).
cnf(c_4094,plain,
join(complement(join(A,B)),complement(join(complement(complement(A)),complement(B)))) = complement(A),
inference(paramod,[status(thm)],[c_91,c_5]) ).
cnf(c_143,plain,
join(complement(join(A,B)),complement(join(A,complement(B)))) = complement(A),
inference(paramod,[status(thm)],[c_91,c_4094]) ).
cnf(c_4095,plain,
join(complement(join(A,B)),complement(join(complement(complement(B)),complement(A)))) = complement(B),
inference(paramod,[status(thm)],[c_91,c_34]) ).
cnf(c_145,plain,
join(complement(join(A,B)),complement(join(B,complement(A)))) = complement(B),
inference(paramod,[status(thm)],[c_91,c_4095]) ).
cnf(c_4096,plain,
join(join(A,A),complement(A)) = top,
inference(paramod,[status(thm)],[c_94,c_17]) ).
cnf(c_4097,plain,
join(A,join(A,complement(A))) = top,
inference(paramod,[status(thm)],[c_3,c_4096]) ).
cnf(c_160,plain,
join(A,top) = top,
inference(paramod,[status(thm)],[c_17,c_4097]) ).
cnf(c_4098,plain,
complement(complement(A)) = join(A,A),
inference(paramod,[status(thm)],[c_94,c_91]) ).
cnf(c_4099,plain,
A = join(A,A),
inference(paramod,[status(thm)],[c_91,c_4098]) ).
cnf(c_161,plain,
join(A,A) = A,
inference(copy,[status(thm)],[c_4099]) ).
cnf(c_4100,plain,
composition(top,A) = join(composition(B,A),composition(top,A)),
inference(paramod,[status(thm)],[c_160,c_10]) ).
cnf(c_164,plain,
join(composition(A,B),composition(top,B)) = composition(top,B),
inference(copy,[status(thm)],[c_4100]) ).
cnf(c_4101,plain,
converse(top) = join(converse(A),converse(top)),
inference(paramod,[status(thm)],[c_160,c_12]) ).
cnf(c_165,plain,
join(converse(A),converse(top)) = converse(top),
inference(copy,[status(thm)],[c_4101]) ).
cnf(c_4102,plain,
join(A,B) = join(A,join(A,B)),
inference(paramod,[status(thm)],[c_161,c_3]) ).
cnf(c_167,plain,
join(A,join(A,B)) = join(A,B),
inference(copy,[status(thm)],[c_4102]) ).
cnf(c_4103,plain,
join(A,composition(top,B)) = join(composition(C,B),join(A,composition(complement(C),B))),
inference(paramod,[status(thm)],[c_47,c_33]) ).
cnf(c_184,plain,
join(composition(A,B),join(C,composition(complement(A),B))) = join(C,composition(top,B)),
inference(copy,[status(thm)],[c_4103]) ).
cnf(c_205,plain,
join(A,converse(top)) = converse(top),
inference(paramod,[status(thm)],[c_11,c_165]) ).
cnf(c_208,plain,
join(A,converse(complement(converse(A)))) = converse(top),
inference(paramod,[status(thm)],[c_11,c_48]) ).
cnf(c_4104,plain,
join(A,converse(top)) = join(converse(B),join(A,converse(complement(B)))),
inference(paramod,[status(thm)],[c_48,c_33]) ).
cnf(c_4105,plain,
converse(top) = join(converse(B),join(A,converse(complement(B)))),
inference(paramod,[status(thm)],[c_205,c_4104]) ).
cnf(c_210,plain,
join(converse(A),join(B,converse(complement(A)))) = converse(top),
inference(copy,[status(thm)],[c_4105]) ).
cnf(c_4106,plain,
join(converse(A),join(converse(complement(A)),complement(converse(top)))) = top,
inference(paramod,[status(thm)],[c_48,c_44]) ).
cnf(c_4107,plain,
join(converse(A),join(complement(converse(top)),converse(complement(A)))) = top,
inference(paramod,[status(thm)],[c_1,c_4106]) ).
cnf(c_212,plain,
converse(top) = top,
inference(paramod,[status(thm)],[c_210,c_4107]) ).
cnf(c_216,plain,
join(A,converse(complement(converse(A)))) = top,
inference(paramod,[status(thm)],[c_212,c_208]) ).
cnf(c_224,plain,
join(converse(A),converse(complement(A))) = top,
inference(paramod,[status(thm)],[c_212,c_48]) ).
cnf(c_4108,plain,
converse(A) = join(converse(A),converse(composition(converse(sk2),A))),
inference(paramod,[status(thm)],[c_110,c_12]) ).
cnf(c_4109,plain,
converse(A) = join(converse(A),composition(converse(A),converse(converse(sk2)))),
inference(paramod,[status(thm)],[c_13,c_4108]) ).
cnf(c_4110,plain,
converse(A) = join(converse(A),composition(converse(A),sk2)),
inference(paramod,[status(thm)],[c_11,c_4109]) ).
cnf(c_288,plain,
join(converse(A),composition(converse(A),sk2)) = converse(A),
inference(copy,[status(thm)],[c_4110]) ).
cnf(c_4111,plain,
converse(A) = join(converse(A),converse(composition(converse(sk1),A))),
inference(paramod,[status(thm)],[c_113,c_12]) ).
cnf(c_4112,plain,
converse(A) = join(converse(A),composition(converse(A),converse(converse(sk1)))),
inference(paramod,[status(thm)],[c_13,c_4111]) ).
cnf(c_4113,plain,
converse(A) = join(converse(A),composition(converse(A),sk1)),
inference(paramod,[status(thm)],[c_11,c_4112]) ).
cnf(c_309,plain,
join(converse(A),composition(converse(A),sk1)) = converse(A),
inference(copy,[status(thm)],[c_4113]) ).
cnf(c_4114,plain,
composition(A,join(B,converse(C))) = join(composition(A,converse(converse(B))),composition(A,converse(C))),
inference(paramod,[status(thm)],[c_11,c_115]) ).
cnf(c_430,plain,
composition(A,join(B,converse(C))) = join(composition(A,B),composition(A,converse(C))),
inference(paramod,[status(thm)],[c_11,c_4114]) ).
cnf(c_446,plain,
join(A,composition(top,A)) = composition(top,A),
inference(paramod,[status(thm)],[c_81,c_164]) ).
cnf(c_4115,plain,
join(A,composition(top,B)) = join(B,join(A,composition(top,B))),
inference(paramod,[status(thm)],[c_446,c_33]) ).
cnf(c_450,plain,
join(A,join(B,composition(top,A))) = join(B,composition(top,A)),
inference(copy,[status(thm)],[c_4115]) ).
cnf(c_4116,plain,
join(A,composition(converse(converse(A)),sk2)) = converse(converse(A)),
inference(paramod,[status(thm)],[c_11,c_288]) ).
cnf(c_4117,plain,
join(A,composition(A,sk2)) = converse(converse(A)),
inference(paramod,[status(thm)],[c_11,c_4116]) ).
cnf(c_692,plain,
join(A,composition(A,sk2)) = A,
inference(paramod,[status(thm)],[c_11,c_4117]) ).
cnf(c_4118,plain,
join(A,composition(converse(converse(A)),sk1)) = converse(converse(A)),
inference(paramod,[status(thm)],[c_11,c_309]) ).
cnf(c_4119,plain,
join(A,composition(A,sk1)) = converse(converse(A)),
inference(paramod,[status(thm)],[c_11,c_4118]) ).
cnf(c_715,plain,
join(A,composition(A,sk1)) = A,
inference(paramod,[status(thm)],[c_11,c_4119]) ).
cnf(c_4120,plain,
join(complement(join(A,B)),complement(A)) = join(complement(join(A,B)),complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_143,c_167]) ).
cnf(c_4121,plain,
join(complement(A),complement(join(A,B))) = join(complement(join(A,B)),complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_1,c_4120]) ).
cnf(c_736,plain,
join(complement(A),complement(join(A,B))) = complement(A),
inference(paramod,[status(thm)],[c_143,c_4121]) ).
cnf(c_4122,plain,
join(complement(join(A,B)),complement(B)) = join(complement(join(A,B)),complement(join(B,complement(A)))),
inference(paramod,[status(thm)],[c_145,c_167]) ).
cnf(c_4123,plain,
join(complement(B),complement(join(A,B))) = join(complement(join(A,B)),complement(join(B,complement(A)))),
inference(paramod,[status(thm)],[c_1,c_4122]) ).
cnf(c_817,plain,
join(complement(A),complement(join(B,A))) = complement(A),
inference(paramod,[status(thm)],[c_145,c_4123]) ).
cnf(c_4124,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_145,c_143]) ).
cnf(c_4125,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_91,c_4124]) ).
cnf(c_4126,plain,
join(A,complement(join(complement(join(B,A)),join(A,complement(B))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_91,c_4125]) ).
cnf(c_4127,plain,
join(A,complement(join(join(A,complement(B)),complement(join(B,A))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_1,c_4126]) ).
cnf(c_4128,plain,
join(A,complement(join(A,join(complement(B),complement(join(B,A)))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_3,c_4127]) ).
cnf(c_4129,plain,
join(A,complement(join(A,complement(B)))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_736,c_4128]) ).
cnf(c_831,plain,
join(A,complement(join(A,complement(B)))) = join(B,A),
inference(paramod,[status(thm)],[c_91,c_4129]) ).
cnf(c_4130,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_145,c_145]) ).
cnf(c_4131,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_91,c_4130]) ).
cnf(c_4132,plain,
join(A,complement(join(complement(join(A,complement(B))),join(B,A)))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_91,c_4131]) ).
cnf(c_4133,plain,
join(A,complement(join(join(B,A),complement(join(A,complement(B)))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_1,c_4132]) ).
cnf(c_4134,plain,
join(A,complement(join(B,join(A,complement(join(A,complement(B))))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_3,c_4133]) ).
cnf(c_4135,plain,
join(A,complement(join(B,join(B,A)))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_831,c_4134]) ).
cnf(c_4136,plain,
join(A,complement(join(B,A))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_167,c_4135]) ).
cnf(c_836,plain,
join(A,complement(join(B,A))) = join(A,complement(B)),
inference(paramod,[status(thm)],[c_91,c_4136]) ).
cnf(c_4137,plain,
join(complement(composition(sk1,A)),complement(A)) = complement(composition(sk1,A)),
inference(paramod,[status(thm)],[c_85,c_817]) ).
cnf(c_923,plain,
join(complement(A),complement(composition(sk1,A))) = complement(composition(sk1,A)),
inference(paramod,[status(thm)],[c_1,c_4137]) ).
cnf(c_4138,plain,
join(composition(A,sk2),complement(A)) = join(complement(A),composition(top,sk2)),
inference(paramod,[status(thm)],[c_692,c_184]) ).
cnf(c_4139,plain,
join(complement(A),composition(A,sk2)) = join(complement(A),composition(top,sk2)),
inference(paramod,[status(thm)],[c_1,c_4138]) ).
cnf(c_1110,plain,
join(complement(A),composition(top,sk2)) = join(complement(A),composition(A,sk2)),
inference(copy,[status(thm)],[c_4139]) ).
cnf(c_4140,plain,
join(composition(A,sk1),complement(A)) = join(complement(A),composition(top,sk1)),
inference(paramod,[status(thm)],[c_715,c_184]) ).
cnf(c_4141,plain,
join(complement(A),composition(A,sk1)) = join(complement(A),composition(top,sk1)),
inference(paramod,[status(thm)],[c_1,c_4140]) ).
cnf(c_1111,plain,
join(complement(A),composition(top,sk1)) = join(complement(A),composition(A,sk1)),
inference(copy,[status(thm)],[c_4141]) ).
cnf(c_1451,plain,
join(A,complement(join(A,B))) = join(A,complement(B)),
inference(paramod,[status(thm)],[c_1,c_836]) ).
cnf(c_4142,plain,
join(converse(complement(A)),complement(top)) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_224,c_836]) ).
cnf(c_4143,plain,
join(converse(complement(A)),zero) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_19,c_4142]) ).
cnf(c_4144,plain,
join(zero,converse(complement(A))) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_1,c_4143]) ).
cnf(c_4145,plain,
converse(complement(A)) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_93,c_4144]) ).
cnf(c_4146,plain,
converse(complement(A)) = join(complement(converse(A)),converse(complement(A))),
inference(paramod,[status(thm)],[c_1,c_4145]) ).
cnf(c_1461,plain,
join(complement(converse(A)),converse(complement(A))) = converse(complement(A)),
inference(copy,[status(thm)],[c_4146]) ).
cnf(c_4147,plain,
join(converse(complement(converse(A))),complement(top)) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_216,c_836]) ).
cnf(c_4148,plain,
join(converse(complement(converse(A))),zero) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_19,c_4147]) ).
cnf(c_4149,plain,
join(zero,converse(complement(converse(A)))) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_1,c_4148]) ).
cnf(c_4150,plain,
converse(complement(converse(A))) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_93,c_4149]) ).
cnf(c_4151,plain,
converse(complement(converse(A))) = join(complement(A),converse(complement(converse(A)))),
inference(paramod,[status(thm)],[c_1,c_4150]) ).
cnf(c_1469,plain,
join(complement(A),converse(complement(converse(A)))) = converse(complement(converse(A))),
inference(copy,[status(thm)],[c_4151]) ).
cnf(c_4152,plain,
join(sk2,join(complement(sk1),composition(top,sk2))) = join(complement(sk1),sk2),
inference(paramod,[status(thm)],[c_1110,c_139]) ).
cnf(c_4153,plain,
join(complement(sk1),composition(top,sk2)) = join(complement(sk1),sk2),
inference(paramod,[status(thm)],[c_450,c_4152]) ).
cnf(c_1580,plain,
join(complement(sk1),composition(top,sk2)) = join(sk2,complement(sk1)),
inference(paramod,[status(thm)],[c_1,c_4153]) ).
cnf(c_4154,plain,
join(sk2,complement(sk1)) = join(complement(sk1),composition(sk1,sk2)),
inference(paramod,[status(thm)],[c_1580,c_1110]) ).
cnf(c_1648,plain,
join(complement(sk1),composition(sk1,sk2)) = join(sk2,complement(sk1)),
inference(copy,[status(thm)],[c_4154]) ).
cnf(c_4155,plain,
join(complement(join(sk2,complement(sk1))),complement(join(composition(sk1,sk2),complement(complement(sk1))))) = complement(composition(sk1,sk2)),
inference(paramod,[status(thm)],[c_1648,c_145]) ).
cnf(c_4156,plain,
join(complement(join(sk2,complement(sk1))),complement(join(composition(sk1,sk2),sk1))) = complement(composition(sk1,sk2)),
inference(paramod,[status(thm)],[c_91,c_4155]) ).
cnf(c_4157,plain,
join(complement(join(sk2,complement(sk1))),complement(join(sk1,composition(sk1,sk2)))) = complement(composition(sk1,sk2)),
inference(paramod,[status(thm)],[c_1,c_4156]) ).
cnf(c_4158,plain,
join(complement(join(sk2,complement(sk1))),complement(sk1)) = complement(composition(sk1,sk2)),
inference(paramod,[status(thm)],[c_692,c_4157]) ).
cnf(c_4159,plain,
join(complement(sk1),complement(join(sk2,complement(sk1)))) = complement(composition(sk1,sk2)),
inference(paramod,[status(thm)],[c_1,c_4158]) ).
cnf(c_4160,plain,
join(complement(sk1),complement(sk2)) = complement(composition(sk1,sk2)),
inference(paramod,[status(thm)],[c_836,c_4159]) ).
cnf(c_1679,plain,
complement(composition(sk1,sk2)) = join(complement(sk1),complement(sk2)),
inference(copy,[status(thm)],[c_4160]) ).
cnf(c_4161,plain,
complement(join(complement(sk1),complement(sk2))) = composition(sk1,sk2),
inference(paramod,[status(thm)],[c_1679,c_91]) ).
cnf(c_1688,plain,
composition(sk1,sk2) = complement(join(complement(sk1),complement(sk2))),
inference(copy,[status(thm)],[c_4161]) ).
cnf(c_1706,plain,
composition(complement(join(complement(sk1),complement(sk2))),A) = composition(sk1,composition(sk2,A)),
inference(paramod,[status(thm)],[c_1688,c_8]) ).
cnf(c_1711,plain,
composition(sk1,composition(sk2,sk3)) != complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))),
inference(paramod,[status(thm)],[c_1706,c_31]) ).
cnf(c_4162,plain,
join(sk1,join(complement(sk2),composition(top,sk1))) = join(complement(sk2),sk1),
inference(paramod,[status(thm)],[c_1111,c_131]) ).
cnf(c_4163,plain,
join(complement(sk2),composition(top,sk1)) = join(complement(sk2),sk1),
inference(paramod,[status(thm)],[c_450,c_4162]) ).
cnf(c_1723,plain,
join(complement(sk2),composition(top,sk1)) = join(sk1,complement(sk2)),
inference(paramod,[status(thm)],[c_1,c_4163]) ).
cnf(c_4164,plain,
join(sk1,complement(sk2)) = join(complement(sk2),composition(sk2,sk1)),
inference(paramod,[status(thm)],[c_1723,c_1111]) ).
cnf(c_1765,plain,
join(complement(sk2),composition(sk2,sk1)) = join(sk1,complement(sk2)),
inference(copy,[status(thm)],[c_4164]) ).
cnf(c_4165,plain,
join(complement(join(sk1,complement(sk2))),complement(join(composition(sk2,sk1),complement(complement(sk2))))) = complement(composition(sk2,sk1)),
inference(paramod,[status(thm)],[c_1765,c_145]) ).
cnf(c_4166,plain,
join(complement(join(sk1,complement(sk2))),complement(join(composition(sk2,sk1),sk2))) = complement(composition(sk2,sk1)),
inference(paramod,[status(thm)],[c_91,c_4165]) ).
cnf(c_4167,plain,
join(complement(join(sk1,complement(sk2))),complement(join(sk2,composition(sk2,sk1)))) = complement(composition(sk2,sk1)),
inference(paramod,[status(thm)],[c_1,c_4166]) ).
cnf(c_4168,plain,
join(complement(join(sk1,complement(sk2))),complement(sk2)) = complement(composition(sk2,sk1)),
inference(paramod,[status(thm)],[c_715,c_4167]) ).
cnf(c_4169,plain,
join(complement(sk2),complement(join(sk1,complement(sk2)))) = complement(composition(sk2,sk1)),
inference(paramod,[status(thm)],[c_1,c_4168]) ).
cnf(c_4170,plain,
join(complement(sk2),complement(sk1)) = complement(composition(sk2,sk1)),
inference(paramod,[status(thm)],[c_836,c_4169]) ).
cnf(c_4171,plain,
join(complement(sk1),complement(sk2)) = complement(composition(sk2,sk1)),
inference(paramod,[status(thm)],[c_1,c_4170]) ).
cnf(c_1784,plain,
complement(composition(sk2,sk1)) = join(complement(sk1),complement(sk2)),
inference(copy,[status(thm)],[c_4171]) ).
cnf(c_4172,plain,
complement(join(complement(sk1),complement(sk2))) = composition(sk2,sk1),
inference(paramod,[status(thm)],[c_1784,c_91]) ).
cnf(c_1787,plain,
composition(sk2,sk1) = complement(join(complement(sk1),complement(sk2))),
inference(copy,[status(thm)],[c_4172]) ).
cnf(c_4173,plain,
composition(complement(join(complement(sk1),complement(sk2))),A) = composition(sk2,composition(sk1,A)),
inference(paramod,[status(thm)],[c_1787,c_8]) ).
cnf(c_4174,plain,
composition(sk1,composition(sk2,A)) = composition(sk2,composition(sk1,A)),
inference(paramod,[status(thm)],[c_1706,c_4173]) ).
cnf(c_1790,plain,
composition(sk2,composition(sk1,A)) = composition(sk1,composition(sk2,A)),
inference(copy,[status(thm)],[c_4174]) ).
cnf(c_4175,plain,
composition(A,top) = join(composition(A,B),composition(A,converse(complement(converse(B))))),
inference(paramod,[status(thm)],[c_216,c_430]) ).
cnf(c_2320,plain,
join(composition(A,B),composition(A,converse(complement(converse(B))))) = composition(A,top),
inference(copy,[status(thm)],[c_4175]) ).
cnf(c_4176,plain,
converse(converse(complement(A))) = join(converse(complement(converse(A))),converse(converse(complement(A)))),
inference(paramod,[status(thm)],[c_1461,c_12]) ).
cnf(c_4177,plain,
complement(A) = join(converse(complement(converse(A))),converse(converse(complement(A)))),
inference(paramod,[status(thm)],[c_11,c_4176]) ).
cnf(c_4178,plain,
complement(A) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_11,c_4177]) ).
cnf(c_4179,plain,
complement(A) = join(complement(A),converse(complement(converse(A)))),
inference(paramod,[status(thm)],[c_1,c_4178]) ).
cnf(c_4180,plain,
complement(A) = converse(complement(converse(A))),
inference(paramod,[status(thm)],[c_1469,c_4179]) ).
cnf(c_2583,plain,
converse(complement(converse(A))) = complement(A),
inference(copy,[status(thm)],[c_4180]) ).
cnf(c_2586,plain,
join(composition(A,B),composition(A,complement(B))) = composition(A,top),
inference(paramod,[status(thm)],[c_2583,c_2320]) ).
cnf(c_4181,plain,
join(complement(composition(sk1,A)),B) = join(complement(A),join(complement(composition(sk1,A)),B)),
inference(paramod,[status(thm)],[c_923,c_3]) ).
cnf(c_3246,plain,
join(complement(A),join(complement(composition(sk1,A)),B)) = join(complement(composition(sk1,A)),B),
inference(copy,[status(thm)],[c_4181]) ).
cnf(c_4182,plain,
join(complement(A),composition(sk2,top)) = join(composition(sk2,A),complement(A)),
inference(paramod,[status(thm)],[c_2586,c_131]) ).
cnf(c_3472,plain,
join(complement(A),composition(sk2,top)) = join(complement(A),composition(sk2,A)),
inference(paramod,[status(thm)],[c_1,c_4182]) ).
cnf(c_4183,plain,
join(complement(join(complement(A),composition(sk2,top))),complement(join(composition(sk2,A),complement(complement(A))))) = complement(composition(sk2,A)),
inference(paramod,[status(thm)],[c_3472,c_145]) ).
cnf(c_4184,plain,
join(complement(join(complement(A),composition(sk2,top))),complement(join(composition(sk2,A),A))) = complement(composition(sk2,A)),
inference(paramod,[status(thm)],[c_91,c_4183]) ).
cnf(c_4185,plain,
join(complement(join(complement(A),composition(sk2,top))),complement(join(A,composition(sk2,A)))) = complement(composition(sk2,A)),
inference(paramod,[status(thm)],[c_1,c_4184]) ).
cnf(c_4186,plain,
join(complement(join(complement(A),composition(sk2,top))),complement(A)) = complement(composition(sk2,A)),
inference(paramod,[status(thm)],[c_84,c_4185]) ).
cnf(c_4187,plain,
join(complement(A),complement(join(complement(A),composition(sk2,top)))) = complement(composition(sk2,A)),
inference(paramod,[status(thm)],[c_1,c_4186]) ).
cnf(c_4188,plain,
join(complement(A),complement(composition(sk2,top))) = complement(composition(sk2,A)),
inference(paramod,[status(thm)],[c_1451,c_4187]) ).
cnf(c_3499,plain,
complement(composition(sk2,A)) = join(complement(A),complement(composition(sk2,top))),
inference(copy,[status(thm)],[c_4188]) ).
cnf(c_4189,plain,
composition(sk1,composition(sk2,sk3)) != complement(join(complement(composition(sk1,sk3)),join(complement(sk3),complement(composition(sk2,top))))),
inference(paramod,[status(thm)],[c_3499,c_1711]) ).
cnf(c_4190,plain,
composition(sk1,composition(sk2,sk3)) != complement(join(complement(sk3),join(complement(composition(sk1,sk3)),complement(composition(sk2,top))))),
inference(paramod,[status(thm)],[c_33,c_4189]) ).
cnf(c_4039,plain,
composition(sk1,composition(sk2,sk3)) != complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,top)))),
inference(paramod,[status(thm)],[c_3246,c_4190]) ).
cnf(c_4191,plain,
composition(sk1,composition(sk2,sk3)) != complement(complement(composition(sk2,composition(sk1,sk3)))),
inference(paramod,[status(thm)],[c_3499,c_4039]) ).
cnf(c_4192,plain,
composition(sk1,composition(sk2,sk3)) != complement(complement(composition(sk1,composition(sk2,sk3)))),
inference(paramod,[status(thm)],[c_1790,c_4191]) ).
cnf(c_4193,plain,
composition(sk1,composition(sk2,sk3)) != composition(sk1,composition(sk2,sk3)),
inference(paramod,[status(thm)],[c_91,c_4192]) ).
cnf(c_4052,plain,
$false,
inference(copy,[status(thm)],[c_4193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL029-3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n007.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sat Sep 26 05:31:38 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.46 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.46 % Process 2896399 was started by sandbox2 on n007,
% 0.19/0.46 % Sat Sep 26 05:31:38 2026
% 0.19/0.46 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.19/0.46
% 0.19/0.46 % From the command line: assign(max_seconds, 300).
% 25.30/4.11
% 25.30/4.11 % given #500 (T,wt=20): 2520 complement(composition(sk1,complement(one))) = join(one,complement(composition(sk1,top))). [back_rewrite(2271),rewrite([2515(7),2246(6)]),flip(a)].
% 25.30/4.11
% 25.30/4.11 % SZS status Unsatisfiable for theBenchmark
% 25.30/4.11
% 25.30/4.11 % Proof 1 at 2.50 (+ 0.79) seconds.
% 25.30/4.11 % Length of proof is 109.
% 25.30/4.11 % Level of proof is 21.
% 25.30/4.11 % Maximum clause weight is 30.000.
% 25.30/4.11 % Given clauses 562.
% 25.30/4.11
% 25.30/4.11 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------