%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : REL034+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n016.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 : Fri Sep 25 02:35:55 PM UTC 2026
% Result : Theorem 235.88s 31.06s
% Output : Proof 235.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 150
% Number of leaves : 14
% Syntax : Number of formulae : 599 ( 595 unt; 0 def)
% Number of atoms : 603 ( 602 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 9 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 827 ( 110 sgn 81 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f6_nnf,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(t11,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t27,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
inference(orient,[status(thm)],[t11]) ).
fof(f1,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f1_nnf,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t10,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t21,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t10]) ).
fof(f10,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f10_nnf,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(t12,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(equality_encoding,[status(esa)],[c10]) ).
fof(f0,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f0_nnf,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t5,plain,
join(X1,X2) = join(X2,X1),
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t19,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t5]) ).
cnf(t384106,plain,
join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2),
inference(step,[status(thm)],[t12,t19]) ).
cnf(t30,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(orient,[status(thm)],[t384106]) ).
fof(f9,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f9_nnf,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(t7,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t51,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
inference(orient,[status(thm)],[t7]) ).
fof(f7,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f7_nnf,plain,
! [X0] : converse(converse(X0)) = X0,
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X0] : converse(converse(X0)) = X0,
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(t2,plain,
converse(converse(X1)) = X1,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t18,plain,
converse(converse(X1)) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t53,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(cp,[status(thm)],[t51,t18]) ).
cnf(t137,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(orient,[status(thm)],[t53]) ).
fof(f5,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f5_nnf,plain,
! [X0] : composition(X0,one) = X0,
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X0] : composition(X0,one) = X0,
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(t0,plain,
composition(X1,one) = X1,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t17,plain,
composition(X1,one) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t138,plain,
composition(converse(one),X1) = converse(converse(X1)),
inference(cp,[status(thm)],[t137,t17]) ).
cnf(t384111,plain,
composition(converse(one),X1) = X1,
inference(step,[status(thm)],[t138,t18]) ).
cnf(t152,plain,
composition(converse(one),X1) = X1,
inference(orient,[status(thm)],[t384111]) ).
cnf(t153,plain,
one = converse(one),
inference(cp,[status(thm)],[t152,t17]) ).
cnf(t159,plain,
converse(one) = one,
inference(orient,[status(thm)],[t153]) ).
cnf(t384112,plain,
composition(one,X1) = X1,
inference(step,[status(thm)],[t152,t159]) ).
cnf(t169,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[t384112]) ).
cnf(t170,plain,
composition(one,X1) = X1,
inference(orient,[status(thm)],[t169]) ).
cnf(t173,plain,
complement(X1) = join(complement(X1),composition(converse(one),complement(X1))),
inference(cp,[status(thm)],[t30,t170]) ).
cnf(t384114,plain,
complement(X1) = join(complement(X1),composition(one,complement(X1))),
inference(step,[status(thm)],[t173,t159]) ).
cnf(t384115,plain,
complement(X1) = join(complement(X1),complement(X1)),
inference(step,[status(thm)],[t384114,t170]) ).
cnf(t197,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(orient,[status(thm)],[t384115]) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f3_nnf,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t6,plain,
complement(join(complement(X1),complement(X2))) = meet(X1,X2),
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t39,plain,
complement(join(complement(X1),complement(X2))) = meet(X1,X2),
inference(orient,[status(thm)],[t6]) ).
cnf(t207,plain,
meet(X1,X1) = complement(complement(X1)),
inference(cp,[status(thm)],[t39,t197]) ).
cnf(t214,plain,
meet(X1,X1) = complement(complement(X1)),
inference(orient,[status(thm)],[t207]) ).
fof(f2,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f2_nnf,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t13,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t14,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
inference(orient,[status(thm)],[t13]) ).
cnf(t20,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[t14]) ).
cnf(t384125,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(step,[status(thm)],[t20,t19]) ).
cnf(t384126,plain,
join(complement(join(complement(X1),X2)),meet(X1,X2)) = X1,
inference(step,[status(thm)],[t384125,t39]) ).
cnf(t384127,plain,
join(meet(X1,X2),complement(join(complement(X1),X2))) = X1,
inference(step,[status(thm)],[t384126,t19]) ).
cnf(t296,plain,
join(meet(X1,X2),complement(join(complement(X1),X2))) = X1,
inference(orient,[status(thm)],[t384127]) ).
fof(f12,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f12_nnf,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(t4,plain,
meet(X1,complement(X1)) = zero,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(t63,plain,
meet(X1,complement(X1)) = zero,
inference(orient,[status(thm)],[t4]) ).
cnf(t297,plain,
X1 = join(zero,complement(join(complement(X1),complement(X1)))),
inference(cp,[status(thm)],[t296,t63]) ).
cnf(t384128,plain,
X1 = join(zero,meet(X1,X1)),
inference(step,[status(thm)],[t297,t39]) ).
cnf(t321,plain,
join(zero,meet(X1,X1)) = X1,
inference(orient,[status(thm)],[t384128]) ).
fof(f11,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f11_nnf,plain,
! [X0] : top = join(X0,complement(X0)),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [X0] : top = join(X0,complement(X0)),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
top = join(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(t3,plain,
join(X1,complement(X1)) = top,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(t24,plain,
join(X1,complement(X1)) = top,
inference(orient,[status(thm)],[t3]) ).
cnf(t40,plain,
meet(X1,complement(X1)) = complement(top),
inference(cp,[status(thm)],[t39,t24]) ).
cnf(t384107,plain,
zero = complement(top),
inference(step,[status(thm)],[t40,t63]) ).
cnf(t65,plain,
complement(top) = zero,
inference(orient,[status(thm)],[t384107]) ).
cnf(t201,plain,
complement(top) = join(zero,complement(top)),
inference(cp,[status(thm)],[t197,t65]) ).
cnf(t384116,plain,
zero = join(zero,complement(top)),
inference(step,[status(thm)],[t201,t65]) ).
cnf(t384117,plain,
zero = join(zero,zero),
inference(step,[status(thm)],[t384116,t65]) ).
cnf(t208,plain,
join(zero,zero) = zero,
inference(orient,[status(thm)],[t384117]) ).
cnf(t209,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(cp,[status(thm)],[t21,t208]) ).
cnf(t224,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(orient,[status(thm)],[t209]) ).
cnf(t323,plain,
join(zero,meet(X1,X1)) = join(zero,X1),
inference(cp,[status(thm)],[t224,t321]) ).
cnf(t384129,plain,
X1 = join(zero,X1),
inference(step,[status(thm)],[t323,t321]) ).
cnf(t325,plain,
join(zero,X1) = X1,
inference(orient,[status(thm)],[t384129]) ).
cnf(t384130,plain,
meet(X1,X1) = X1,
inference(step,[status(thm)],[t321,t325]) ).
cnf(t333,plain,
meet(X1,X1) = X1,
inference(rw,[status(thm)],[t384130]) ).
cnf(t351,plain,
meet(X1,X1) = X1,
inference(orient,[status(thm)],[t333]) ).
cnf(t384137,plain,
X1 = complement(complement(X1)),
inference(step,[status(thm)],[t214,t351]) ).
cnf(t354,plain,
X1 = complement(complement(X1)),
inference(rw,[status(thm)],[t384137]) ).
cnf(t380,plain,
complement(complement(X1)) = X1,
inference(orient,[status(thm)],[t354]) ).
cnf(t382,plain,
complement(complement(X1)) = join(X1,complement(complement(X1))),
inference(cp,[status(thm)],[t197,t380]) ).
cnf(t384148,plain,
X1 = join(X1,complement(complement(X1))),
inference(step,[status(thm)],[t382,t380]) ).
cnf(t384149,plain,
X1 = join(X1,X1),
inference(step,[status(thm)],[t384148,t380]) ).
cnf(t395,plain,
join(X1,X1) = X1,
inference(orient,[status(thm)],[t384149]) ).
cnf(t397,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(cp,[status(thm)],[t21,t395]) ).
cnf(t473,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(orient,[status(thm)],[t397]) ).
cnf(t475,plain,
join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1),
inference(cp,[status(thm)],[t473,t296]) ).
cnf(t384156,plain,
X1 = join(meet(X1,X2),X1),
inference(step,[status(thm)],[t475,t296]) ).
cnf(t384157,plain,
X1 = join(X1,meet(X1,X2)),
inference(step,[status(thm)],[t384156,t19]) ).
cnf(t479,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t384157]) ).
fof(f4,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity) ).
fof(f4_nnf,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(t9,plain,
composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)),
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t46,plain,
composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)),
inference(orient,[status(thm)],[t9]) ).
cnf(t41,plain,
meet(X1,X2) = complement(join(complement(X2),complement(X1))),
inference(cp,[status(thm)],[t39,t19]) ).
cnf(t384109,plain,
meet(X1,X2) = meet(X2,X1),
inference(step,[status(thm)],[t41,t39]) ).
cnf(t74,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t384109]) ).
cnf(t481,plain,
X1 = join(X1,meet(X2,X1)),
inference(cp,[status(thm)],[t479,t74]) ).
cnf(t487,plain,
join(X1,meet(X2,X1)) = X1,
inference(orient,[status(thm)],[t481]) ).
cnf(t491,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(cp,[status(thm)],[t21,t487]) ).
cnf(t1543,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(orient,[status(thm)],[t491]) ).
cnf(t381,plain,
join(complement(X1),complement(X2)) = complement(meet(X1,X2)),
inference(cp,[status(thm)],[t380,t39]) ).
cnf(t760,plain,
join(complement(X1),complement(X2)) = complement(meet(X1,X2)),
inference(orient,[status(thm)],[t381]) ).
cnf(t763,plain,
complement(meet(X1,complement(X2))) = join(complement(X1),X2),
inference(cp,[status(thm)],[t760,t380]) ).
cnf(t791,plain,
complement(meet(X1,complement(X2))) = join(complement(X1),X2),
inference(orient,[status(thm)],[t763]) ).
cnf(t801,plain,
meet(X1,complement(X2)) = complement(join(complement(X1),X2)),
inference(cp,[status(thm)],[t380,t791]) ).
cnf(t837,plain,
complement(join(complement(X1),X2)) = meet(X1,complement(X2)),
inference(orient,[status(thm)],[t801]) ).
cnf(t384182,plain,
join(meet(X1,X2),meet(X1,complement(X2))) = X1,
inference(step,[status(thm)],[t296,t837]) ).
cnf(t863,plain,
join(meet(X1,X2),meet(X1,complement(X2))) = X1,
inference(rw,[status(thm)],[t384182]) ).
cnf(t3545,plain,
join(meet(X1,X2),meet(X1,complement(X2))) = X1,
inference(orient,[status(thm)],[t863]) ).
cnf(t3597,plain,
join(X1,meet(X2,complement(X1))) = join(X1,X2),
inference(cp,[status(thm)],[t1543,t3545]) ).
cnf(t3610,plain,
join(X1,meet(X2,complement(X1))) = join(X1,X2),
inference(orient,[status(thm)],[t3597]) ).
cnf(t3617,plain,
join(X1,X2) = join(X1,meet(complement(X1),X2)),
inference(cp,[status(thm)],[t3610,t74]) ).
cnf(t3654,plain,
join(X1,meet(complement(X1),X2)) = join(X1,X2),
inference(orient,[status(thm)],[t3617]) ).
cnf(t3665,plain,
join(complement(X1),X2) = join(complement(X1),meet(X1,X2)),
inference(cp,[status(thm)],[t3654,t380]) ).
cnf(t4467,plain,
join(complement(X1),meet(X1,X2)) = join(complement(X1),X2),
inference(orient,[status(thm)],[t3665]) ).
cnf(t477,plain,
join(X1,X2) = join(X1,join(X2,X1)),
inference(cp,[status(thm)],[t473,t19]) ).
cnf(t494,plain,
join(X1,join(X2,X1)) = join(X1,X2),
inference(orient,[status(thm)],[t477]) ).
cnf(t26,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(cp,[status(thm)],[t21,t24]) ).
cnf(t270,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(orient,[status(thm)],[t26]) ).
cnf(t276,plain,
join(top,complement(X1)) = join(X1,complement(X1)),
inference(cp,[status(thm)],[t270,t197]) ).
cnf(t384123,plain,
join(top,complement(X1)) = top,
inference(step,[status(thm)],[t276,t24]) ).
cnf(t288,plain,
join(top,complement(X1)) = top,
inference(orient,[status(thm)],[t384123]) ).
cnf(t289,plain,
top = join(top,meet(X1,X2)),
inference(cp,[status(thm)],[t288,t39]) ).
cnf(t316,plain,
join(top,meet(X1,X2)) = top,
inference(orient,[status(thm)],[t289]) ).
cnf(t352,plain,
top = join(top,X1),
inference(cp,[status(thm)],[t316,t351]) ).
cnf(t360,plain,
join(top,X1) = top,
inference(orient,[status(thm)],[t352]) ).
cnf(t384142,plain,
join(X1,join(complement(X1),X2)) = top,
inference(step,[status(thm)],[t270,t360]) ).
cnf(t361,plain,
join(X1,join(complement(X1),X2)) = top,
inference(orient,[status(thm)],[t384142]) ).
cnf(t496,plain,
join(join(complement(X1),X2),X1) = join(join(complement(X1),X2),top),
inference(cp,[status(thm)],[t494,t361]) ).
cnf(t384166,plain,
join(complement(X1),join(X2,X1)) = join(join(complement(X1),X2),top),
inference(step,[status(thm)],[t496,t21]) ).
cnf(t384167,plain,
join(complement(X1),join(X2,X1)) = join(complement(X1),join(X2,top)),
inference(step,[status(thm)],[t384166,t21]) ).
cnf(t364,plain,
top = join(X1,top),
inference(cp,[status(thm)],[t360,t19]) ).
cnf(t392,plain,
join(X1,top) = top,
inference(orient,[status(thm)],[t364]) ).
cnf(t384168,plain,
join(complement(X1),join(X2,X1)) = join(complement(X1),top),
inference(step,[status(thm)],[t384167,t392]) ).
cnf(t384169,plain,
join(complement(X1),join(X2,X1)) = top,
inference(step,[status(thm)],[t384168,t392]) ).
cnf(t563,plain,
join(complement(X1),join(X2,X1)) = top,
inference(orient,[status(thm)],[t384169]) ).
cnf(t570,plain,
top = join(complement(meet(X1,X2)),X2),
inference(cp,[status(thm)],[t563,t487]) ).
cnf(t384175,plain,
top = join(X2,complement(meet(X1,X2))),
inference(step,[status(thm)],[t570,t19]) ).
cnf(t606,plain,
join(X1,complement(meet(X2,X1))) = top,
inference(orient,[status(thm)],[t384175]) ).
cnf(t613,plain,
meet(X1,meet(X2,complement(X1))) = complement(top),
inference(cp,[status(thm)],[t39,t606]) ).
cnf(t384178,plain,
meet(X1,meet(X2,complement(X1))) = zero,
inference(step,[status(thm)],[t613,t65]) ).
cnf(t626,plain,
meet(X1,meet(X2,complement(X1))) = zero,
inference(orient,[status(thm)],[t384178]) ).
cnf(t627,plain,
zero = meet(complement(X1),meet(X2,X1)),
inference(cp,[status(thm)],[t626,t380]) ).
cnf(t639,plain,
meet(complement(X1),meet(X2,X1)) = zero,
inference(orient,[status(thm)],[t627]) ).
fof(f8,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f8_nnf,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(t8,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t34,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
inference(orient,[status(thm)],[t8]) ).
cnf(t36,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(cp,[status(thm)],[t34,t18]) ).
cnf(t106,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(orient,[status(thm)],[t36]) ).
cnf(t107,plain,
join(X1,converse(complement(converse(X1)))) = converse(top),
inference(cp,[status(thm)],[t106,t24]) ).
cnf(t240,plain,
join(X1,converse(complement(converse(X1)))) = converse(top),
inference(orient,[status(thm)],[t107]) ).
cnf(t363,plain,
top = converse(top),
inference(cp,[status(thm)],[t360,t240]) ).
cnf(t368,plain,
converse(top) = top,
inference(orient,[status(thm)],[t363]) ).
cnf(t384146,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(step,[status(thm)],[t240,t368]) ).
cnf(t371,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(orient,[status(thm)],[t384146]) ).
cnf(t840,plain,
meet(X1,complement(converse(complement(converse(complement(X1)))))) = complement(top),
inference(cp,[status(thm)],[t837,t371]) ).
cnf(t384237,plain,
meet(X1,complement(converse(complement(converse(complement(X1)))))) = zero,
inference(step,[status(thm)],[t840,t65]) ).
cnf(t3538,plain,
meet(X1,complement(converse(complement(converse(complement(X1)))))) = zero,
inference(orient,[status(thm)],[t384237]) ).
cnf(t3658,plain,
join(X1,complement(converse(complement(converse(complement(complement(X1))))))) = join(X1,zero),
inference(cp,[status(thm)],[t3654,t3538]) ).
cnf(t384240,plain,
join(X1,complement(converse(complement(converse(X1))))) = join(X1,zero),
inference(step,[status(thm)],[t3658,t380]) ).
cnf(t329,plain,
X1 = join(X1,zero),
inference(cp,[status(thm)],[t325,t19]) ).
cnf(t346,plain,
join(X1,zero) = X1,
inference(orient,[status(thm)],[t329]) ).
cnf(t384241,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(step,[status(thm)],[t384240,t346]) ).
cnf(t3725,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(orient,[status(thm)],[t384241]) ).
cnf(t3764,plain,
join(X1,converse(complement(converse(complement(converse(converse(X1))))))) = converse(converse(X1)),
inference(cp,[status(thm)],[t106,t3725]) ).
cnf(t384247,plain,
join(X1,converse(complement(converse(complement(X1))))) = converse(converse(X1)),
inference(step,[status(thm)],[t3764,t18]) ).
cnf(t384248,plain,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(step,[status(thm)],[t384247,t18]) ).
cnf(t4003,plain,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(orient,[status(thm)],[t384248]) ).
cnf(t4031,plain,
meet(X1,complement(converse(complement(converse(complement(complement(X1))))))) = complement(complement(X1)),
inference(cp,[status(thm)],[t837,t4003]) ).
cnf(t384249,plain,
meet(X1,complement(converse(complement(converse(X1))))) = complement(complement(X1)),
inference(step,[status(thm)],[t4031,t380]) ).
cnf(t384250,plain,
meet(X1,complement(converse(complement(converse(X1))))) = X1,
inference(step,[status(thm)],[t384249,t380]) ).
cnf(t4039,plain,
meet(X1,complement(converse(complement(converse(X1))))) = X1,
inference(orient,[status(thm)],[t384250]) ).
cnf(t4063,plain,
zero = meet(complement(complement(converse(complement(converse(X1))))),X1),
inference(cp,[status(thm)],[t639,t4039]) ).
cnf(t384251,plain,
zero = meet(X1,complement(complement(converse(complement(converse(X1)))))),
inference(step,[status(thm)],[t4063,t74]) ).
cnf(t384252,plain,
zero = meet(X1,converse(complement(converse(X1)))),
inference(step,[status(thm)],[t384251,t380]) ).
cnf(t4079,plain,
meet(X1,converse(complement(converse(X1)))) = zero,
inference(orient,[status(thm)],[t384252]) ).
cnf(t4092,plain,
zero = meet(converse(X1),converse(complement(X1))),
inference(cp,[status(thm)],[t4079,t18]) ).
cnf(t4099,plain,
meet(converse(X1),converse(complement(X1))) = zero,
inference(orient,[status(thm)],[t4092]) ).
cnf(t4494,plain,
join(complement(converse(X1)),converse(complement(X1))) = join(complement(converse(X1)),zero),
inference(cp,[status(thm)],[t4467,t4099]) ).
cnf(t384266,plain,
join(converse(complement(X1)),complement(converse(X1))) = join(complement(converse(X1)),zero),
inference(step,[status(thm)],[t4494,t19]) ).
cnf(t384267,plain,
join(converse(complement(X1)),complement(converse(X1))) = complement(converse(X1)),
inference(step,[status(thm)],[t384266,t346]) ).
cnf(t4948,plain,
join(converse(complement(X1)),complement(converse(X1))) = complement(converse(X1)),
inference(orient,[status(thm)],[t384267]) ).
cnf(t4953,plain,
complement(converse(complement(X1))) = join(converse(X1),complement(converse(complement(X1)))),
inference(cp,[status(thm)],[t4948,t380]) ).
cnf(t3735,plain,
converse(X1) = join(converse(X1),complement(converse(complement(X1)))),
inference(cp,[status(thm)],[t3725,t18]) ).
cnf(t4747,plain,
join(converse(X1),complement(converse(complement(X1)))) = converse(X1),
inference(orient,[status(thm)],[t3735]) ).
cnf(t384268,plain,
complement(converse(complement(X1))) = converse(X1),
inference(step,[status(thm)],[t4953,t4747]) ).
cnf(t4989,plain,
complement(converse(complement(X1))) = converse(X1),
inference(orient,[status(thm)],[t384268]) ).
cnf(t4994,plain,
converse(complement(X1)) = complement(converse(X1)),
inference(cp,[status(thm)],[t4989,t380]) ).
cnf(t5031,plain,
complement(converse(X1)) = converse(complement(X1)),
inference(orient,[status(thm)],[t4994]) ).
cnf(t762,plain,
complement(meet(complement(X1),X2)) = join(X1,complement(X2)),
inference(cp,[status(thm)],[t760,t380]) ).
cnf(t771,plain,
complement(meet(complement(X1),X2)) = join(X1,complement(X2)),
inference(orient,[status(thm)],[t762]) ).
cnf(t780,plain,
meet(complement(X1),X2) = complement(join(X1,complement(X2))),
inference(cp,[status(thm)],[t380,t771]) ).
cnf(t813,plain,
complement(join(X1,complement(X2))) = meet(complement(X1),X2),
inference(orient,[status(thm)],[t780]) ).
cnf(t3731,plain,
one = join(one,complement(converse(complement(one)))),
inference(cp,[status(thm)],[t3725,t159]) ).
cnf(t3772,plain,
join(one,complement(converse(complement(one)))) = one,
inference(orient,[status(thm)],[t3731]) ).
cnf(t3787,plain,
meet(complement(one),converse(complement(one))) = complement(one),
inference(cp,[status(thm)],[t813,t3772]) ).
cnf(t3797,plain,
meet(complement(one),converse(complement(one))) = complement(one),
inference(orient,[status(thm)],[t3787]) ).
cnf(t3806,plain,
converse(complement(one)) = join(converse(complement(one)),complement(one)),
inference(cp,[status(thm)],[t487,t3797]) ).
cnf(t384245,plain,
converse(complement(one)) = join(complement(one),converse(complement(one))),
inference(step,[status(thm)],[t3806,t19]) ).
cnf(t492,plain,
join(X1,converse(meet(X2,converse(X1)))) = converse(converse(X1)),
inference(cp,[status(thm)],[t106,t487]) ).
cnf(t384188,plain,
join(X1,converse(meet(X2,converse(X1)))) = X1,
inference(step,[status(thm)],[t492,t18]) ).
cnf(t930,plain,
join(X1,converse(meet(X2,converse(X1)))) = X1,
inference(orient,[status(thm)],[t384188]) ).
cnf(t3815,plain,
complement(one) = join(complement(one),converse(complement(one))),
inference(cp,[status(thm)],[t930,t3797]) ).
cnf(t3817,plain,
join(complement(one),converse(complement(one))) = complement(one),
inference(orient,[status(thm)],[t3815]) ).
cnf(t384246,plain,
converse(complement(one)) = complement(one),
inference(step,[status(thm)],[t384245,t3817]) ).
cnf(t3862,plain,
converse(complement(one)) = complement(one),
inference(orient,[status(thm)],[t384246]) ).
cnf(t3866,plain,
converse(join(X1,complement(one))) = join(converse(X1),complement(one)),
inference(cp,[status(thm)],[t34,t3862]) ).
cnf(t3979,plain,
converse(join(X1,complement(one))) = join(converse(X1),complement(one)),
inference(orient,[status(thm)],[t3866]) ).
cnf(t5032,plain,
converse(complement(join(X1,complement(one)))) = complement(join(converse(X1),complement(one))),
inference(cp,[status(thm)],[t5031,t3979]) ).
cnf(t384273,plain,
converse(meet(complement(X1),one)) = complement(join(converse(X1),complement(one))),
inference(step,[status(thm)],[t5032,t813]) ).
cnf(t384274,plain,
converse(meet(one,complement(X1))) = complement(join(converse(X1),complement(one))),
inference(step,[status(thm)],[t384273,t74]) ).
cnf(t384275,plain,
converse(meet(one,complement(X1))) = meet(complement(converse(X1)),one),
inference(step,[status(thm)],[t384274,t813]) ).
cnf(t384276,plain,
converse(meet(one,complement(X1))) = meet(one,complement(converse(X1))),
inference(step,[status(thm)],[t384275,t74]) ).
cnf(t384277,plain,
converse(meet(one,complement(X1))) = meet(one,converse(complement(X1))),
inference(step,[status(thm)],[t384276,t5031]) ).
cnf(t5131,plain,
converse(meet(one,complement(X1))) = meet(one,converse(complement(X1))),
inference(orient,[status(thm)],[t384277]) ).
cnf(t5143,plain,
meet(one,converse(complement(complement(X1)))) = converse(meet(one,X1)),
inference(cp,[status(thm)],[t5131,t380]) ).
cnf(t384278,plain,
meet(one,converse(X1)) = converse(meet(one,X1)),
inference(step,[status(thm)],[t5143,t380]) ).
cnf(t5163,plain,
converse(meet(one,X1)) = meet(one,converse(X1)),
inference(orient,[status(thm)],[t384278]) ).
cnf(t5177,plain,
converse(composition(meet(one,X1),X2)) = composition(converse(X2),meet(one,converse(X1))),
inference(cp,[status(thm)],[t51,t5163]) ).
cnf(t134103,plain,
composition(converse(X1),meet(one,converse(X2))) = converse(composition(meet(one,X2),X1)),
inference(orient,[status(thm)],[t5177]) ).
cnf(t3567,plain,
X1 = join(meet(X2,X1),meet(X1,complement(X2))),
inference(cp,[status(thm)],[t3545,t74]) ).
cnf(t9363,plain,
join(meet(X1,X2),meet(X2,complement(X1))) = X2,
inference(orient,[status(thm)],[t3567]) ).
cnf(t820,plain,
meet(complement(X1),complement(X2)) = complement(join(X1,X2)),
inference(cp,[status(thm)],[t813,t380]) ).
cnf(t864,plain,
meet(complement(X1),complement(X2)) = complement(join(X1,X2)),
inference(orient,[status(thm)],[t820]) ).
cnf(t3615,plain,
join(X1,complement(X2)) = join(X1,complement(join(X2,X1))),
inference(cp,[status(thm)],[t3610,t864]) ).
cnf(t4184,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(orient,[status(thm)],[t3615]) ).
cnf(t4252,plain,
meet(complement(X1),join(X2,X1)) = complement(join(X1,complement(X2))),
inference(cp,[status(thm)],[t813,t4184]) ).
cnf(t384262,plain,
meet(complement(X1),join(X2,X1)) = meet(complement(X1),X2),
inference(step,[status(thm)],[t4252,t813]) ).
cnf(t4563,plain,
meet(complement(X1),join(X2,X1)) = meet(complement(X1),X2),
inference(orient,[status(thm)],[t384262]) ).
cnf(t37,plain,
converse(join(X1,converse(X2))) = join(converse(X1),X2),
inference(cp,[status(thm)],[t34,t18]) ).
cnf(t115,plain,
converse(join(X1,converse(X2))) = join(converse(X1),X2),
inference(orient,[status(thm)],[t37]) ).
cnf(t484,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(cp,[status(thm)],[t21,t479]) ).
cnf(t1383,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(orient,[status(thm)],[t484]) ).
cnf(t1392,plain,
join(X1,complement(meet(X2,meet(X1,X3)))) = join(X1,top),
inference(cp,[status(thm)],[t1383,t606]) ).
cnf(t384412,plain,
join(X1,complement(meet(X2,meet(X1,X3)))) = top,
inference(step,[status(thm)],[t1392,t392]) ).
cnf(t7960,plain,
join(X1,complement(meet(X2,meet(X1,X3)))) = top,
inference(orient,[status(thm)],[t384412]) ).
cnf(t57,plain,
complement(converse(X1)) = join(complement(converse(X1)),composition(converse(converse(X2)),complement(converse(composition(X1,X2))))),
inference(cp,[status(thm)],[t30,t51]) ).
cnf(t384786,plain,
converse(complement(X1)) = join(complement(converse(X1)),composition(converse(converse(X2)),complement(converse(composition(X1,X2))))),
inference(step,[status(thm)],[t57,t5031]) ).
cnf(t384787,plain,
converse(complement(X1)) = join(converse(complement(X1)),composition(converse(converse(X2)),complement(converse(composition(X1,X2))))),
inference(step,[status(thm)],[t384786,t5031]) ).
cnf(t384788,plain,
converse(complement(X1)) = join(converse(complement(X1)),composition(X2,complement(converse(composition(X1,X2))))),
inference(step,[status(thm)],[t384787,t18]) ).
cnf(t384789,plain,
converse(complement(X1)) = join(converse(complement(X1)),composition(X2,converse(complement(composition(X1,X2))))),
inference(step,[status(thm)],[t384788,t5031]) ).
cnf(t26741,plain,
join(converse(complement(X1)),composition(X2,converse(complement(composition(X1,X2))))) = converse(complement(X1)),
inference(orient,[status(thm)],[t384789]) ).
cnf(t388,plain,
top = join(complement(X1),join(X1,X2)),
inference(cp,[status(thm)],[t361,t380]) ).
cnf(t505,plain,
join(complement(X1),join(X1,X2)) = top,
inference(orient,[status(thm)],[t388]) ).
cnf(t520,plain,
X1 = join(meet(X1,join(X1,X2)),complement(top)),
inference(cp,[status(thm)],[t296,t505]) ).
cnf(t384158,plain,
X1 = join(complement(top),meet(X1,join(X1,X2))),
inference(step,[status(thm)],[t520,t19]) ).
cnf(t384159,plain,
X1 = join(zero,meet(X1,join(X1,X2))),
inference(step,[status(thm)],[t384158,t65]) ).
cnf(t384160,plain,
X1 = meet(X1,join(X1,X2)),
inference(step,[status(thm)],[t384159,t325]) ).
cnf(t521,plain,
meet(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t384160]) ).
cnf(t527,plain,
X1 = meet(X1,join(X2,X1)),
inference(cp,[status(thm)],[t521,t19]) ).
cnf(t531,plain,
meet(X1,join(X2,X1)) = X1,
inference(orient,[status(thm)],[t527]) ).
cnf(t646,plain,
zero = meet(complement(join(X1,X2)),X2),
inference(cp,[status(thm)],[t639,t531]) ).
cnf(t384180,plain,
zero = meet(X2,complement(join(X1,X2))),
inference(step,[status(thm)],[t646,t74]) ).
cnf(t745,plain,
meet(X1,complement(join(X2,X1))) = zero,
inference(orient,[status(thm)],[t384180]) ).
cnf(t750,plain,
zero = meet(composition(converse(X1),complement(composition(X1,X2))),complement(complement(X2))),
inference(cp,[status(thm)],[t745,t30]) ).
cnf(t384643,plain,
zero = meet(complement(complement(X2)),composition(converse(X1),complement(composition(X1,X2)))),
inference(step,[status(thm)],[t750,t74]) ).
cnf(t384644,plain,
zero = meet(X2,composition(converse(X1),complement(composition(X1,X2)))),
inference(step,[status(thm)],[t384643,t380]) ).
cnf(t21371,plain,
meet(X1,composition(converse(X2),complement(composition(X2,X1)))) = zero,
inference(orient,[status(thm)],[t384644]) ).
cnf(t31,plain,
complement(X1) = join(complement(X1),composition(X2,complement(composition(converse(X2),X1)))),
inference(cp,[status(thm)],[t30,t18]) ).
cnf(t5078,plain,
join(complement(X1),composition(X2,complement(composition(converse(X2),X1)))) = complement(X1),
inference(orient,[status(thm)],[t31]) ).
cnf(t5085,plain,
complement(top) = join(zero,composition(X1,complement(composition(converse(X1),top)))),
inference(cp,[status(thm)],[t5078,t65]) ).
cnf(t384279,plain,
zero = join(zero,composition(X1,complement(composition(converse(X1),top)))),
inference(step,[status(thm)],[t5085,t65]) ).
cnf(t384280,plain,
zero = composition(X1,complement(composition(converse(X1),top))),
inference(step,[status(thm)],[t384279,t325]) ).
cnf(t374,plain,
converse(composition(top,X1)) = composition(converse(X1),top),
inference(cp,[status(thm)],[t51,t368]) ).
cnf(t438,plain,
converse(composition(top,X1)) = composition(converse(X1),top),
inference(orient,[status(thm)],[t374]) ).
cnf(t5038,plain,
converse(complement(composition(top,X1))) = complement(composition(converse(X1),top)),
inference(cp,[status(thm)],[t5031,t438]) ).
cnf(t5379,plain,
complement(composition(converse(X1),top)) = converse(complement(composition(top,X1))),
inference(orient,[status(thm)],[t5038]) ).
cnf(t384281,plain,
zero = composition(X1,converse(complement(composition(top,X1)))),
inference(step,[status(thm)],[t384280,t5379]) ).
cnf(t5625,plain,
composition(X1,converse(complement(composition(top,X1)))) = zero,
inference(orient,[status(thm)],[t384281]) ).
cnf(t373,plain,
converse(composition(X1,top)) = composition(top,converse(X1)),
inference(cp,[status(thm)],[t51,t368]) ).
cnf(t418,plain,
converse(composition(X1,top)) = composition(top,converse(X1)),
inference(orient,[status(thm)],[t373]) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( composition(X0,top) = X0
=> join(composition(X1,meet(X0,X2)),composition(meet(X1,converse(X0)),meet(X0,X2))) = composition(meet(X1,converse(X0)),meet(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f13_neg,negated_conjecture,
~ ! [X0,X1,X2] :
( composition(X0,top) = X0
=> join(composition(X1,meet(X0,X2)),composition(meet(X1,converse(X0)),meet(X0,X2))) = composition(meet(X1,converse(X0)),meet(X0,X2)) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f13_nnf,plain,
? [X0,X1,X2] :
( join(composition(X1,meet(X0,X2)),composition(meet(X1,converse(X0)),meet(X0,X2))) != composition(meet(X1,converse(X0)),meet(X0,X2))
& composition(X0,top) = X0 ),
inference(nnf_transformation,[status(thm)],[f13_neg]) ).
fof(f13_sk,plain,
( join(composition(sk1,meet(sk0,sk2)),composition(meet(sk1,converse(sk0)),meet(sk0,sk2))) != composition(meet(sk1,converse(sk0)),meet(sk0,sk2))
& composition(sk0,top) = sk0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f13_nnf]) ).
cnf(c13,plain,
composition(sk0,top) = sk0,
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(t1,plain,
composition(sk0,top) = sk0,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(t58,plain,
composition(sk0,top) = sk0,
inference(orient,[status(thm)],[t1]) ).
cnf(t421,plain,
composition(top,converse(sk0)) = converse(sk0),
inference(cp,[status(thm)],[t418,t58]) ).
cnf(t433,plain,
composition(top,converse(sk0)) = converse(sk0),
inference(orient,[status(thm)],[t421]) ).
cnf(t5631,plain,
zero = composition(converse(sk0),converse(complement(converse(sk0)))),
inference(cp,[status(thm)],[t5625,t433]) ).
cnf(t384282,plain,
zero = converse(composition(complement(converse(sk0)),sk0)),
inference(step,[status(thm)],[t5631,t51]) ).
cnf(t384283,plain,
zero = converse(composition(converse(complement(sk0)),sk0)),
inference(step,[status(thm)],[t384282,t5031]) ).
cnf(t384284,plain,
zero = composition(converse(sk0),complement(sk0)),
inference(step,[status(thm)],[t384283,t137]) ).
cnf(t5650,plain,
composition(converse(sk0),complement(sk0)) = zero,
inference(orient,[status(thm)],[t384284]) ).
cnf(t5657,plain,
composition(converse(complement(sk0)),sk0) = converse(zero),
inference(cp,[status(thm)],[t137,t5650]) ).
cnf(t332,plain,
join(converse(zero),X1) = converse(converse(X1)),
inference(cp,[status(thm)],[t115,t325]) ).
cnf(t384154,plain,
join(converse(zero),X1) = X1,
inference(step,[status(thm)],[t332,t18]) ).
cnf(t403,plain,
join(converse(zero),X1) = X1,
inference(orient,[status(thm)],[t384154]) ).
cnf(t404,plain,
zero = converse(zero),
inference(cp,[status(thm)],[t403,t346]) ).
cnf(t409,plain,
converse(zero) = zero,
inference(orient,[status(thm)],[t404]) ).
cnf(t384314,plain,
composition(converse(complement(sk0)),sk0) = zero,
inference(step,[status(thm)],[t5657,t409]) ).
cnf(t5685,plain,
composition(converse(complement(sk0)),sk0) = zero,
inference(orient,[status(thm)],[t384314]) ).
cnf(t5687,plain,
composition(join(converse(complement(sk0)),X1),sk0) = join(zero,composition(X1,sk0)),
inference(cp,[status(thm)],[t27,t5685]) ).
cnf(t384353,plain,
composition(join(converse(complement(sk0)),X1),sk0) = composition(X1,sk0),
inference(step,[status(thm)],[t5687,t325]) ).
cnf(t7187,plain,
composition(join(converse(complement(sk0)),X1),sk0) = composition(X1,sk0),
inference(orient,[status(thm)],[t384353]) ).
cnf(t7192,plain,
composition(meet(complement(converse(complement(sk0))),X1),sk0) = composition(join(converse(complement(sk0)),X1),sk0),
inference(cp,[status(thm)],[t7187,t3654]) ).
cnf(t384361,plain,
composition(meet(converse(sk0),X1),sk0) = composition(join(converse(complement(sk0)),X1),sk0),
inference(step,[status(thm)],[t7192,t4989]) ).
cnf(t384362,plain,
composition(meet(converse(sk0),X1),sk0) = composition(X1,sk0),
inference(step,[status(thm)],[t384361,t7187]) ).
cnf(t7280,plain,
composition(meet(converse(sk0),X1),sk0) = composition(X1,sk0),
inference(orient,[status(thm)],[t384362]) ).
cnf(t5043,plain,
converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))),
inference(cp,[status(thm)],[t5031,t106]) ).
cnf(t5994,plain,
converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))),
inference(orient,[status(thm)],[t5043]) ).
cnf(t5052,plain,
complement(meet(converse(X1),X2)) = join(converse(complement(X1)),complement(X2)),
inference(cp,[status(thm)],[t760,t5031]) ).
cnf(t6200,plain,
join(converse(complement(X1)),complement(X2)) = complement(meet(converse(X1),X2)),
inference(orient,[status(thm)],[t5052]) ).
cnf(t6242,plain,
complement(join(complement(X1),converse(complement(X2)))) = converse(complement(complement(meet(converse(X1),X2)))),
inference(cp,[status(thm)],[t5994,t6200]) ).
cnf(t384343,plain,
meet(X1,complement(converse(complement(X2)))) = converse(complement(complement(meet(converse(X1),X2)))),
inference(step,[status(thm)],[t6242,t837]) ).
cnf(t384344,plain,
meet(X1,converse(X2)) = converse(complement(complement(meet(converse(X1),X2)))),
inference(step,[status(thm)],[t384343,t4989]) ).
cnf(t384345,plain,
meet(X1,converse(X2)) = converse(meet(converse(X1),X2)),
inference(step,[status(thm)],[t384344,t380]) ).
cnf(t6249,plain,
converse(meet(converse(X1),X2)) = meet(X1,converse(X2)),
inference(orient,[status(thm)],[t384345]) ).
cnf(t6276,plain,
meet(converse(X1),converse(X2)) = converse(meet(X1,X2)),
inference(cp,[status(thm)],[t6249,t18]) ).
cnf(t6424,plain,
meet(converse(X1),converse(X2)) = converse(meet(X1,X2)),
inference(orient,[status(thm)],[t6276]) ).
cnf(t7281,plain,
composition(converse(X1),sk0) = composition(converse(meet(sk0,X1)),sk0),
inference(cp,[status(thm)],[t7280,t6424]) ).
cnf(t7517,plain,
composition(converse(meet(sk0,X1)),sk0) = composition(converse(X1),sk0),
inference(orient,[status(thm)],[t7281]) ).
cnf(t21449,plain,
zero = meet(sk0,composition(converse(converse(meet(sk0,X1))),complement(composition(converse(X1),sk0)))),
inference(cp,[status(thm)],[t21371,t7517]) ).
cnf(t384849,plain,
zero = meet(sk0,composition(meet(sk0,X1),complement(composition(converse(X1),sk0)))),
inference(step,[status(thm)],[t21449,t18]) ).
cnf(t435,plain,
composition(join(top,X1),converse(sk0)) = join(converse(sk0),composition(X1,converse(sk0))),
inference(cp,[status(thm)],[t27,t433]) ).
cnf(t384201,plain,
composition(top,converse(sk0)) = join(converse(sk0),composition(X1,converse(sk0))),
inference(step,[status(thm)],[t435,t360]) ).
cnf(t384202,plain,
converse(sk0) = join(converse(sk0),composition(X1,converse(sk0))),
inference(step,[status(thm)],[t384201,t433]) ).
cnf(t1098,plain,
join(converse(sk0),composition(X1,converse(sk0))) = converse(sk0),
inference(orient,[status(thm)],[t384202]) ).
cnf(t1105,plain,
join(sk0,converse(composition(X1,converse(sk0)))) = converse(converse(sk0)),
inference(cp,[status(thm)],[t106,t1098]) ).
cnf(t52,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(cp,[status(thm)],[t51,t18]) ).
cnf(t125,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(orient,[status(thm)],[t52]) ).
cnf(t384203,plain,
join(sk0,composition(sk0,converse(X1))) = converse(converse(sk0)),
inference(step,[status(thm)],[t1105,t125]) ).
cnf(t384204,plain,
join(sk0,composition(sk0,converse(X1))) = sk0,
inference(step,[status(thm)],[t384203,t18]) ).
cnf(t1108,plain,
join(sk0,composition(sk0,converse(X1))) = sk0,
inference(orient,[status(thm)],[t384204]) ).
cnf(t1116,plain,
sk0 = join(sk0,composition(sk0,X1)),
inference(cp,[status(thm)],[t1108,t18]) ).
cnf(t1135,plain,
join(sk0,composition(sk0,X1)) = sk0,
inference(orient,[status(thm)],[t1116]) ).
cnf(t1137,plain,
join(sk0,join(composition(sk0,X1),X2)) = join(sk0,X2),
inference(cp,[status(thm)],[t21,t1135]) ).
cnf(t1787,plain,
join(sk0,join(composition(sk0,X1),X2)) = join(sk0,X2),
inference(orient,[status(thm)],[t1137]) ).
cnf(t1789,plain,
join(sk0,composition(X1,X2)) = join(sk0,composition(join(sk0,X1),X2)),
inference(cp,[status(thm)],[t1787,t27]) ).
cnf(t14041,plain,
join(sk0,composition(join(sk0,X1),X2)) = join(sk0,composition(X1,X2)),
inference(orient,[status(thm)],[t1789]) ).
cnf(t14084,plain,
join(sk0,composition(meet(sk0,X1),X2)) = join(sk0,composition(sk0,X2)),
inference(cp,[status(thm)],[t14041,t479]) ).
cnf(t384536,plain,
join(sk0,composition(meet(sk0,X1),X2)) = sk0,
inference(step,[status(thm)],[t14084,t1135]) ).
cnf(t14130,plain,
join(sk0,composition(meet(sk0,X1),X2)) = sk0,
inference(orient,[status(thm)],[t384536]) ).
cnf(t14149,plain,
composition(meet(sk0,X1),X2) = meet(composition(meet(sk0,X1),X2),sk0),
inference(cp,[status(thm)],[t531,t14130]) ).
cnf(t384583,plain,
composition(meet(sk0,X1),X2) = meet(sk0,composition(meet(sk0,X1),X2)),
inference(step,[status(thm)],[t14149,t74]) ).
cnf(t16014,plain,
meet(sk0,composition(meet(sk0,X1),X2)) = composition(meet(sk0,X1),X2),
inference(orient,[status(thm)],[t384583]) ).
cnf(t384850,plain,
zero = composition(meet(sk0,X1),complement(composition(converse(X1),sk0))),
inference(step,[status(thm)],[t384849,t16014]) ).
cnf(t29159,plain,
composition(meet(sk0,X1),complement(composition(converse(X1),sk0))) = zero,
inference(orient,[status(thm)],[t384850]) ).
cnf(t29222,plain,
zero = composition(meet(sk0,one),complement(composition(one,sk0))),
inference(cp,[status(thm)],[t29159,t159]) ).
cnf(t384851,plain,
zero = composition(meet(sk0,one),complement(sk0)),
inference(step,[status(thm)],[t29222,t170]) ).
cnf(t29246,plain,
composition(meet(sk0,one),complement(sk0)) = zero,
inference(orient,[status(thm)],[t384851]) ).
cnf(t29260,plain,
converse(complement(meet(sk0,one))) = join(converse(complement(meet(sk0,one))),composition(complement(sk0),converse(complement(zero)))),
inference(cp,[status(thm)],[t26741,t29246]) ).
cnf(t327,plain,
complement(zero) = top,
inference(cp,[status(thm)],[t325,t24]) ).
cnf(t337,plain,
complement(zero) = top,
inference(orient,[status(thm)],[t327]) ).
cnf(t384857,plain,
converse(complement(meet(sk0,one))) = join(converse(complement(meet(sk0,one))),composition(complement(sk0),converse(top))),
inference(step,[status(thm)],[t29260,t337]) ).
cnf(t384858,plain,
converse(complement(meet(sk0,one))) = join(converse(complement(meet(sk0,one))),composition(complement(sk0),top)),
inference(step,[status(thm)],[t384857,t368]) ).
cnf(t3657,plain,
join(X1,complement(X2)) = join(X1,complement(join(X1,X2))),
inference(cp,[status(thm)],[t3654,t864]) ).
cnf(t4387,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(orient,[status(thm)],[t3657]) ).
cnf(t502,plain,
join(X1,join(X2,X3)) = join(X1,join(X2,join(X3,X1))),
inference(cp,[status(thm)],[t494,t21]) ).
cnf(t12948,plain,
join(X1,join(X2,join(X3,X1))) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t502]) ).
cnf(t60,plain,
composition(join(sk0,X1),top) = join(sk0,composition(X1,top)),
inference(cp,[status(thm)],[t27,t58]) ).
cnf(t257,plain,
composition(join(sk0,X1),top) = join(sk0,composition(X1,top)),
inference(orient,[status(thm)],[t60]) ).
cnf(t258,plain,
join(sk0,composition(complement(sk0),top)) = composition(top,top),
inference(cp,[status(thm)],[t257,t24]) ).
cnf(t878,plain,
join(sk0,composition(complement(sk0),top)) = composition(top,top),
inference(orient,[status(thm)],[t258]) ).
cnf(t5393,plain,
converse(complement(composition(top,top))) = complement(composition(top,top)),
inference(cp,[status(thm)],[t5379,t368]) ).
cnf(t5435,plain,
converse(complement(composition(top,top))) = complement(composition(top,top)),
inference(orient,[status(thm)],[t5393]) ).
cnf(t5629,plain,
zero = composition(top,complement(composition(top,top))),
inference(cp,[status(thm)],[t5625,t5435]) ).
cnf(t5693,plain,
composition(top,complement(composition(top,top))) = zero,
inference(orient,[status(thm)],[t5629]) ).
cnf(t5697,plain,
composition(join(top,X1),complement(composition(top,top))) = join(zero,composition(X1,complement(composition(top,top)))),
inference(cp,[status(thm)],[t27,t5693]) ).
cnf(t384318,plain,
composition(top,complement(composition(top,top))) = join(zero,composition(X1,complement(composition(top,top)))),
inference(step,[status(thm)],[t5697,t360]) ).
cnf(t384319,plain,
zero = join(zero,composition(X1,complement(composition(top,top)))),
inference(step,[status(thm)],[t384318,t5693]) ).
cnf(t384320,plain,
zero = composition(X1,complement(composition(top,top))),
inference(step,[status(thm)],[t384319,t325]) ).
cnf(t5715,plain,
composition(X1,complement(composition(top,top))) = zero,
inference(orient,[status(thm)],[t384320]) ).
cnf(t5716,plain,
zero = complement(composition(top,top)),
inference(cp,[status(thm)],[t5715,t170]) ).
cnf(t5721,plain,
complement(composition(top,top)) = zero,
inference(orient,[status(thm)],[t5716]) ).
cnf(t5728,plain,
composition(top,top) = complement(zero),
inference(cp,[status(thm)],[t380,t5721]) ).
cnf(t384321,plain,
composition(top,top) = top,
inference(step,[status(thm)],[t5728,t337]) ).
cnf(t5745,plain,
composition(top,top) = top,
inference(orient,[status(thm)],[t384321]) ).
cnf(t384322,plain,
join(sk0,composition(complement(sk0),top)) = top,
inference(step,[status(thm)],[t878,t5745]) ).
cnf(t5746,plain,
join(sk0,composition(complement(sk0),top)) = top,
inference(orient,[status(thm)],[t384322]) ).
cnf(t12998,plain,
join(composition(complement(sk0),top),join(X1,sk0)) = join(composition(complement(sk0),top),join(X1,top)),
inference(cp,[status(thm)],[t12948,t5746]) ).
cnf(t22,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(cp,[status(thm)],[t21,t19]) ).
cnf(t658,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(orient,[status(thm)],[t22]) ).
cnf(t384523,plain,
join(sk0,join(composition(complement(sk0),top),X1)) = join(composition(complement(sk0),top),join(X1,top)),
inference(step,[status(thm)],[t12998,t658]) ).
cnf(t384524,plain,
join(sk0,join(composition(complement(sk0),top),X1)) = join(top,join(composition(complement(sk0),top),X1)),
inference(step,[status(thm)],[t384523,t658]) ).
cnf(t384525,plain,
join(sk0,join(composition(complement(sk0),top),X1)) = top,
inference(step,[status(thm)],[t384524,t360]) ).
cnf(t13070,plain,
join(sk0,join(composition(complement(sk0),top),X1)) = top,
inference(orient,[status(thm)],[t384525]) ).
cnf(t13088,plain,
join(sk0,complement(join(composition(complement(sk0),top),X1))) = join(sk0,complement(top)),
inference(cp,[status(thm)],[t4387,t13070]) ).
cnf(t384783,plain,
join(sk0,complement(join(composition(complement(sk0),top),X1))) = join(sk0,zero),
inference(step,[status(thm)],[t13088,t65]) ).
cnf(t384784,plain,
join(sk0,complement(join(composition(complement(sk0),top),X1))) = sk0,
inference(step,[status(thm)],[t384783,t346]) ).
cnf(t26613,plain,
join(sk0,complement(join(composition(complement(sk0),top),X1))) = sk0,
inference(orient,[status(thm)],[t384784]) ).
cnf(t26614,plain,
sk0 = join(sk0,complement(composition(complement(sk0),top))),
inference(cp,[status(thm)],[t26613,t4184]) ).
cnf(t23,plain,
join(X1,join(X2,X3)) = join(join(X2,X1),X3),
inference(cp,[status(thm)],[t21,t19]) ).
cnf(t384218,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(step,[status(thm)],[t23,t21]) ).
cnf(t1263,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(orient,[status(thm)],[t384218]) ).
cnf(t1273,plain,
join(X1,join(X2,meet(X3,X1))) = join(X2,X1),
inference(cp,[status(thm)],[t1263,t487]) ).
cnf(t1914,plain,
join(X1,join(X2,meet(X3,X1))) = join(X2,X1),
inference(orient,[status(thm)],[t1273]) ).
cnf(t3595,plain,
join(meet(X1,X2),complement(X2)) = join(complement(X2),X1),
inference(cp,[status(thm)],[t1914,t3545]) ).
cnf(t384253,plain,
join(complement(X2),meet(X1,X2)) = join(complement(X2),X1),
inference(step,[status(thm)],[t3595,t19]) ).
cnf(t4123,plain,
join(complement(X1),meet(X2,X1)) = join(complement(X1),X2),
inference(orient,[status(thm)],[t384253]) ).
cnf(t4251,plain,
meet(X1,complement(complement(join(X2,complement(X1))))) = complement(join(complement(X1),complement(X2))),
inference(cp,[status(thm)],[t837,t4184]) ).
cnf(t384254,plain,
meet(X1,join(X2,complement(X1))) = complement(join(complement(X1),complement(X2))),
inference(step,[status(thm)],[t4251,t380]) ).
cnf(t384255,plain,
meet(X1,join(X2,complement(X1))) = meet(X1,X2),
inference(step,[status(thm)],[t384254,t39]) ).
cnf(t4260,plain,
meet(X1,join(X2,complement(X1))) = meet(X1,X2),
inference(orient,[status(thm)],[t384255]) ).
cnf(t4275,plain,
meet(X1,X2) = meet(X1,join(complement(X1),X2)),
inference(cp,[status(thm)],[t4260,t19]) ).
cnf(t4292,plain,
meet(X1,join(complement(X1),X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t4275]) ).
cnf(t4323,plain,
meet(complement(X1),X2) = meet(complement(X1),join(X1,X2)),
inference(cp,[status(thm)],[t4292,t380]) ).
cnf(t4634,plain,
meet(complement(X1),join(X1,X2)) = meet(complement(X1),X2),
inference(orient,[status(thm)],[t4323]) ).
cnf(t5691,plain,
complement(sk0) = join(complement(sk0),composition(converse(converse(complement(sk0))),complement(zero))),
inference(cp,[status(thm)],[t30,t5685]) ).
cnf(t384336,plain,
complement(sk0) = join(complement(sk0),composition(complement(sk0),complement(zero))),
inference(step,[status(thm)],[t5691,t18]) ).
cnf(t384337,plain,
complement(sk0) = join(complement(sk0),composition(complement(sk0),top)),
inference(step,[status(thm)],[t384336,t337]) ).
cnf(t5862,plain,
join(complement(sk0),composition(complement(sk0),top)) = complement(sk0),
inference(orient,[status(thm)],[t384337]) ).
cnf(t5863,plain,
meet(complement(complement(sk0)),composition(complement(sk0),top)) = meet(complement(complement(sk0)),complement(sk0)),
inference(cp,[status(thm)],[t4634,t5862]) ).
cnf(t384338,plain,
meet(sk0,composition(complement(sk0),top)) = meet(complement(complement(sk0)),complement(sk0)),
inference(step,[status(thm)],[t5863,t380]) ).
cnf(t384339,plain,
meet(sk0,composition(complement(sk0),top)) = complement(join(complement(sk0),sk0)),
inference(step,[status(thm)],[t384338,t864]) ).
cnf(t384340,plain,
meet(sk0,composition(complement(sk0),top)) = meet(sk0,complement(sk0)),
inference(step,[status(thm)],[t384339,t837]) ).
cnf(t384341,plain,
meet(sk0,composition(complement(sk0),top)) = zero,
inference(step,[status(thm)],[t384340,t63]) ).
cnf(t5886,plain,
meet(sk0,composition(complement(sk0),top)) = zero,
inference(orient,[status(thm)],[t384341]) ).
cnf(t5887,plain,
join(complement(composition(complement(sk0),top)),sk0) = join(complement(composition(complement(sk0),top)),zero),
inference(cp,[status(thm)],[t4123,t5886]) ).
cnf(t384547,plain,
join(sk0,complement(composition(complement(sk0),top))) = join(complement(composition(complement(sk0),top)),zero),
inference(step,[status(thm)],[t5887,t19]) ).
cnf(t384548,plain,
join(sk0,complement(composition(complement(sk0),top))) = complement(composition(complement(sk0),top)),
inference(step,[status(thm)],[t384547,t346]) ).
cnf(t14728,plain,
join(sk0,complement(composition(complement(sk0),top))) = complement(composition(complement(sk0),top)),
inference(orient,[status(thm)],[t384548]) ).
cnf(t384785,plain,
sk0 = complement(composition(complement(sk0),top)),
inference(step,[status(thm)],[t26614,t14728]) ).
cnf(t26676,plain,
complement(composition(complement(sk0),top)) = sk0,
inference(orient,[status(thm)],[t384785]) ).
cnf(t26683,plain,
composition(complement(sk0),top) = complement(sk0),
inference(cp,[status(thm)],[t380,t26676]) ).
cnf(t26933,plain,
composition(complement(sk0),top) = complement(sk0),
inference(orient,[status(thm)],[t26683]) ).
cnf(t384859,plain,
converse(complement(meet(sk0,one))) = join(converse(complement(meet(sk0,one))),complement(sk0)),
inference(step,[status(thm)],[t384858,t26933]) ).
cnf(t384860,plain,
converse(complement(meet(sk0,one))) = complement(meet(converse(meet(sk0,one)),sk0)),
inference(step,[status(thm)],[t384859,t6200]) ).
cnf(t5174,plain,
meet(one,converse(X1)) = converse(meet(X1,one)),
inference(cp,[status(thm)],[t5163,t74]) ).
cnf(t5193,plain,
converse(meet(X1,one)) = meet(one,converse(X1)),
inference(orient,[status(thm)],[t5174]) ).
cnf(t384861,plain,
converse(complement(meet(sk0,one))) = complement(meet(meet(one,converse(sk0)),sk0)),
inference(step,[status(thm)],[t384860,t5193]) ).
cnf(t3640,plain,
join(X1,meet(X2,complement(meet(X3,X1)))) = join(X1,join(meet(X3,X1),X2)),
inference(cp,[status(thm)],[t1543,t3610]) ).
cnf(t384589,plain,
join(X1,meet(X2,complement(meet(X3,X1)))) = join(X1,X2),
inference(step,[status(thm)],[t3640,t1543]) ).
cnf(t16280,plain,
join(X1,meet(X2,complement(meet(X3,X1)))) = join(X1,X2),
inference(orient,[status(thm)],[t384589]) ).
cnf(t16290,plain,
join(X1,X2) = join(X1,meet(X2,join(X3,complement(X1)))),
inference(cp,[status(thm)],[t16280,t771]) ).
cnf(t17504,plain,
join(X1,meet(X2,join(X3,complement(X1)))) = join(X1,X2),
inference(orient,[status(thm)],[t16290]) ).
cnf(t17554,plain,
meet(X1,meet(X2,join(X3,complement(complement(X1))))) = meet(X1,join(complement(X1),X2)),
inference(cp,[status(thm)],[t4292,t17504]) ).
cnf(t384615,plain,
meet(X1,meet(X2,join(X3,X1))) = meet(X1,join(complement(X1),X2)),
inference(step,[status(thm)],[t17554,t380]) ).
cnf(t384616,plain,
meet(X1,meet(X2,join(X3,X1))) = meet(X1,X2),
inference(step,[status(thm)],[t384615,t4292]) ).
cnf(t17583,plain,
meet(X1,meet(X2,join(X3,X1))) = meet(X1,X2),
inference(orient,[status(thm)],[t384616]) ).
cnf(t17623,plain,
meet(meet(X1,X2),X3) = meet(meet(X1,X2),meet(X3,X1)),
inference(cp,[status(thm)],[t17583,t479]) ).
cnf(t18165,plain,
meet(meet(X1,X2),meet(X3,X1)) = meet(meet(X1,X2),X3),
inference(orient,[status(thm)],[t17623]) ).
cnf(t18176,plain,
meet(meet(X1,X2),X3) = meet(meet(X3,X1),meet(X1,X2)),
inference(cp,[status(thm)],[t18165,t74]) ).
cnf(t17603,plain,
meet(X1,X2) = meet(X1,meet(join(X3,X1),X2)),
inference(cp,[status(thm)],[t17583,t74]) ).
cnf(t17743,plain,
meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3),
inference(orient,[status(thm)],[t17603]) ).
cnf(t17797,plain,
meet(meet(X1,X2),X3) = meet(meet(X1,X2),meet(X2,X3)),
inference(cp,[status(thm)],[t17743,t487]) ).
cnf(t18858,plain,
meet(meet(X1,X2),meet(X2,X3)) = meet(meet(X1,X2),X3),
inference(orient,[status(thm)],[t17797]) ).
cnf(t384618,plain,
meet(meet(X1,X2),X3) = meet(meet(X3,X1),X2),
inference(step,[status(thm)],[t18176,t18858]) ).
cnf(t19149,plain,
meet(meet(X1,X2),X3) = meet(meet(X3,X1),X2),
inference(orient,[status(thm)],[t384618]) ).
cnf(t19162,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(cp,[status(thm)],[t19149,t74]) ).
cnf(t19718,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t19162]) ).
cnf(t384862,plain,
converse(complement(meet(sk0,one))) = complement(meet(one,meet(converse(sk0),sk0))),
inference(step,[status(thm)],[t384861,t19718]) ).
cnf(t384863,plain,
converse(complement(meet(sk0,one))) = complement(meet(one,meet(sk0,converse(sk0)))),
inference(step,[status(thm)],[t384862,t74]) ).
cnf(t29314,plain,
complement(meet(one,meet(sk0,converse(sk0)))) = converse(complement(meet(sk0,one))),
inference(orient,[status(thm)],[t384863]) ).
cnf(t29400,plain,
top = join(sk0,converse(complement(meet(sk0,one)))),
inference(cp,[status(thm)],[t7960,t29314]) ).
cnf(t29426,plain,
join(sk0,converse(complement(meet(sk0,one)))) = top,
inference(orient,[status(thm)],[t29400]) ).
cnf(t29441,plain,
join(converse(sk0),complement(meet(sk0,one))) = converse(top),
inference(cp,[status(thm)],[t115,t29426]) ).
cnf(t384872,plain,
join(converse(sk0),complement(meet(sk0,one))) = top,
inference(step,[status(thm)],[t29441,t368]) ).
cnf(t29499,plain,
join(converse(sk0),complement(meet(sk0,one))) = top,
inference(orient,[status(thm)],[t384872]) ).
cnf(t29501,plain,
meet(complement(complement(meet(sk0,one))),converse(sk0)) = meet(complement(complement(meet(sk0,one))),top),
inference(cp,[status(thm)],[t4563,t29499]) ).
cnf(t384876,plain,
meet(meet(sk0,one),converse(sk0)) = meet(complement(complement(meet(sk0,one))),top),
inference(step,[status(thm)],[t29501,t380]) ).
cnf(t384877,plain,
meet(sk0,meet(one,converse(sk0))) = meet(complement(complement(meet(sk0,one))),top),
inference(step,[status(thm)],[t384876,t19718]) ).
cnf(t394,plain,
X1 = join(meet(X1,top),complement(top)),
inference(cp,[status(thm)],[t296,t392]) ).
cnf(t384150,plain,
X1 = join(complement(top),meet(X1,top)),
inference(step,[status(thm)],[t394,t19]) ).
cnf(t384151,plain,
X1 = join(zero,meet(X1,top)),
inference(step,[status(thm)],[t384150,t65]) ).
cnf(t384152,plain,
X1 = meet(X1,top),
inference(step,[status(thm)],[t384151,t325]) ).
cnf(t398,plain,
meet(X1,top) = X1,
inference(orient,[status(thm)],[t384152]) ).
cnf(t384878,plain,
meet(sk0,meet(one,converse(sk0))) = complement(complement(meet(sk0,one))),
inference(step,[status(thm)],[t384877,t398]) ).
cnf(t384879,plain,
meet(sk0,meet(one,converse(sk0))) = meet(sk0,one),
inference(step,[status(thm)],[t384878,t380]) ).
cnf(t29548,plain,
meet(sk0,meet(one,converse(sk0))) = meet(sk0,one),
inference(orient,[status(thm)],[t384879]) ).
cnf(t29569,plain,
meet(one,converse(sk0)) = join(meet(sk0,one),meet(meet(one,converse(sk0)),complement(sk0))),
inference(cp,[status(thm)],[t9363,t29548]) ).
cnf(t384880,plain,
meet(one,converse(sk0)) = join(meet(sk0,one),meet(one,meet(converse(sk0),complement(sk0)))),
inference(step,[status(thm)],[t29569,t19718]) ).
cnf(t746,plain,
zero = meet(join(X1,X2),complement(join(X2,X1))),
inference(cp,[status(thm)],[t745,t494]) ).
cnf(t3391,plain,
meet(join(X1,X2),complement(join(X2,X1))) = zero,
inference(orient,[status(thm)],[t746]) ).
cnf(t29440,plain,
zero = meet(top,complement(join(converse(complement(meet(sk0,one))),sk0))),
inference(cp,[status(thm)],[t3391,t29426]) ).
cnf(t399,plain,
X1 = meet(top,X1),
inference(cp,[status(thm)],[t398,t74]) ).
cnf(t400,plain,
meet(top,X1) = X1,
inference(orient,[status(thm)],[t399]) ).
cnf(t384868,plain,
zero = complement(join(converse(complement(meet(sk0,one))),sk0)),
inference(step,[status(thm)],[t29440,t400]) ).
cnf(t5063,plain,
meet(converse(X1),complement(X2)) = complement(join(converse(complement(X1)),X2)),
inference(cp,[status(thm)],[t837,t5031]) ).
cnf(t6718,plain,
complement(join(converse(complement(X1)),X2)) = meet(converse(X1),complement(X2)),
inference(orient,[status(thm)],[t5063]) ).
cnf(t384869,plain,
zero = meet(converse(meet(sk0,one)),complement(sk0)),
inference(step,[status(thm)],[t384868,t6718]) ).
cnf(t384870,plain,
zero = meet(meet(one,converse(sk0)),complement(sk0)),
inference(step,[status(thm)],[t384869,t5193]) ).
cnf(t384871,plain,
zero = meet(one,meet(converse(sk0),complement(sk0))),
inference(step,[status(thm)],[t384870,t19718]) ).
cnf(t29482,plain,
meet(one,meet(converse(sk0),complement(sk0))) = zero,
inference(orient,[status(thm)],[t384871]) ).
cnf(t384881,plain,
meet(one,converse(sk0)) = join(meet(sk0,one),zero),
inference(step,[status(thm)],[t384880,t29482]) ).
cnf(t384882,plain,
meet(one,converse(sk0)) = meet(sk0,one),
inference(step,[status(thm)],[t384881,t346]) ).
cnf(t29591,plain,
meet(one,converse(sk0)) = meet(sk0,one),
inference(orient,[status(thm)],[t384882]) ).
cnf(t134156,plain,
converse(composition(meet(one,sk0),X1)) = composition(converse(X1),meet(sk0,one)),
inference(cp,[status(thm)],[t134103,t29591]) ).
cnf(t386682,plain,
converse(composition(meet(sk0,one),X1)) = composition(converse(X1),meet(sk0,one)),
inference(step,[status(thm)],[t134156,t74]) ).
cnf(t134251,plain,
converse(composition(meet(sk0,one),X1)) = composition(converse(X1),meet(sk0,one)),
inference(orient,[status(thm)],[t386682]) ).
cnf(t4308,plain,
meet(X1,join(meet(complement(X1),X2),X3)) = meet(X1,join(complement(X1),X3)),
inference(cp,[status(thm)],[t4292,t1383]) ).
cnf(t384596,plain,
meet(X1,join(meet(complement(X1),X2),X3)) = meet(X1,X3),
inference(step,[status(thm)],[t4308,t4292]) ).
cnf(t16898,plain,
meet(X1,join(meet(complement(X1),X2),X3)) = meet(X1,X3),
inference(orient,[status(thm)],[t384596]) ).
cnf(t5651,plain,
composition(converse(sk0),composition(complement(sk0),X1)) = composition(zero,X1),
inference(cp,[status(thm)],[t46,t5650]) ).
cnf(t434,plain,
composition(top,composition(converse(sk0),X1)) = composition(converse(sk0),X1),
inference(cp,[status(thm)],[t46,t433]) ).
cnf(t1078,plain,
composition(top,composition(converse(sk0),X1)) = composition(converse(sk0),X1),
inference(orient,[status(thm)],[t434]) ).
cnf(t5656,plain,
composition(converse(sk0),complement(sk0)) = composition(top,zero),
inference(cp,[status(thm)],[t1078,t5650]) ).
cnf(t384285,plain,
zero = composition(top,zero),
inference(step,[status(thm)],[t5656,t5650]) ).
cnf(t5658,plain,
composition(top,zero) = zero,
inference(orient,[status(thm)],[t384285]) ).
cnf(t5664,plain,
composition(join(top,X1),zero) = join(zero,composition(X1,zero)),
inference(cp,[status(thm)],[t27,t5658]) ).
cnf(t384297,plain,
composition(top,zero) = join(zero,composition(X1,zero)),
inference(step,[status(thm)],[t5664,t360]) ).
cnf(t384298,plain,
zero = join(zero,composition(X1,zero)),
inference(step,[status(thm)],[t384297,t5658]) ).
cnf(t384299,plain,
zero = composition(X1,zero),
inference(step,[status(thm)],[t384298,t325]) ).
cnf(t5673,plain,
composition(X1,zero) = zero,
inference(orient,[status(thm)],[t384299]) ).
cnf(t5681,plain,
composition(converse(zero),X1) = converse(zero),
inference(cp,[status(thm)],[t137,t5673]) ).
cnf(t384312,plain,
composition(zero,X1) = converse(zero),
inference(step,[status(thm)],[t5681,t409]) ).
cnf(t384313,plain,
composition(zero,X1) = zero,
inference(step,[status(thm)],[t384312,t409]) ).
cnf(t5684,plain,
composition(zero,X1) = zero,
inference(orient,[status(thm)],[t384313]) ).
cnf(t384351,plain,
composition(converse(sk0),composition(complement(sk0),X1)) = zero,
inference(step,[status(thm)],[t5651,t5684]) ).
cnf(t7170,plain,
composition(converse(sk0),composition(complement(sk0),X1)) = zero,
inference(orient,[status(thm)],[t384351]) ).
cnf(t7176,plain,
complement(composition(complement(sk0),X1)) = join(complement(composition(complement(sk0),X1)),composition(converse(converse(sk0)),complement(zero))),
inference(cp,[status(thm)],[t30,t7170]) ).
cnf(t384549,plain,
complement(composition(complement(sk0),X1)) = join(complement(composition(complement(sk0),X1)),composition(sk0,complement(zero))),
inference(step,[status(thm)],[t7176,t18]) ).
cnf(t384550,plain,
complement(composition(complement(sk0),X1)) = join(composition(sk0,complement(zero)),complement(composition(complement(sk0),X1))),
inference(step,[status(thm)],[t384549,t19]) ).
cnf(t384551,plain,
complement(composition(complement(sk0),X1)) = join(composition(sk0,top),complement(composition(complement(sk0),X1))),
inference(step,[status(thm)],[t384550,t337]) ).
cnf(t384552,plain,
complement(composition(complement(sk0),X1)) = join(sk0,complement(composition(complement(sk0),X1))),
inference(step,[status(thm)],[t384551,t58]) ).
cnf(t14756,plain,
join(sk0,complement(composition(complement(sk0),X1))) = complement(composition(complement(sk0),X1)),
inference(orient,[status(thm)],[t384552]) ).
cnf(t14787,plain,
meet(complement(sk0),composition(complement(sk0),X1)) = complement(complement(composition(complement(sk0),X1))),
inference(cp,[status(thm)],[t813,t14756]) ).
cnf(t384567,plain,
meet(complement(sk0),composition(complement(sk0),X1)) = composition(complement(sk0),X1),
inference(step,[status(thm)],[t14787,t380]) ).
cnf(t15055,plain,
meet(complement(sk0),composition(complement(sk0),X1)) = composition(complement(sk0),X1),
inference(orient,[status(thm)],[t384567]) ).
cnf(t16938,plain,
meet(sk0,X1) = meet(sk0,join(composition(complement(sk0),X2),X1)),
inference(cp,[status(thm)],[t16898,t15055]) ).
cnf(t20808,plain,
meet(sk0,join(composition(complement(sk0),X1),X2)) = meet(sk0,X2),
inference(orient,[status(thm)],[t16938]) ).
cnf(t20809,plain,
meet(sk0,composition(X1,X2)) = meet(sk0,composition(join(complement(sk0),X1),X2)),
inference(cp,[status(thm)],[t20808,t27]) ).
cnf(t381927,plain,
meet(sk0,composition(join(complement(sk0),X1),X2)) = meet(sk0,composition(X1,X2)),
inference(orient,[status(thm)],[t20809]) ).
cnf(t17845,plain,
meet(X1,X2) = meet(X1,meet(join(X1,X3),X2)),
inference(cp,[status(thm)],[t17743,t19]) ).
cnf(t18048,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(orient,[status(thm)],[t17845]) ).
cnf(t429,plain,
join(converse(X1),composition(X2,top)) = converse(join(X1,composition(top,converse(X2)))),
inference(cp,[status(thm)],[t115,t418]) ).
cnf(t52518,plain,
converse(join(X1,composition(top,converse(X2)))) = join(converse(X1),composition(X2,top)),
inference(orient,[status(thm)],[t429]) ).
cnf(t55,plain,
composition(join(converse(X1),X2),converse(X3)) = join(converse(composition(X3,X1)),composition(X2,converse(X3))),
inference(cp,[status(thm)],[t27,t51]) ).
cnf(t22929,plain,
join(converse(composition(X1,X2)),composition(X3,converse(X1))) = composition(join(converse(X2),X3),converse(X1)),
inference(orient,[status(thm)],[t55]) ).
cnf(t52520,plain,
join(converse(converse(composition(X1,X2))),composition(X1,top)) = converse(composition(join(converse(X2),top),converse(X1))),
inference(cp,[status(thm)],[t52518,t22929]) ).
cnf(t385607,plain,
join(composition(X1,X2),composition(X1,top)) = converse(composition(join(converse(X2),top),converse(X1))),
inference(step,[status(thm)],[t52520,t18]) ).
cnf(t111,plain,
converse(composition(join(converse(X1),X2),X3)) = composition(converse(X3),join(X1,converse(X2))),
inference(cp,[status(thm)],[t51,t106]) ).
cnf(t33719,plain,
converse(composition(join(converse(X1),X2),X3)) = composition(converse(X3),join(X1,converse(X2))),
inference(orient,[status(thm)],[t111]) ).
cnf(t385608,plain,
join(composition(X1,X2),composition(X1,top)) = composition(converse(converse(X1)),join(X2,converse(top))),
inference(step,[status(thm)],[t385607,t33719]) ).
cnf(t385609,plain,
join(composition(X1,X2),composition(X1,top)) = composition(X1,join(X2,converse(top))),
inference(step,[status(thm)],[t385608,t18]) ).
cnf(t385610,plain,
join(composition(X1,X2),composition(X1,top)) = composition(X1,join(X2,top)),
inference(step,[status(thm)],[t385609,t368]) ).
cnf(t385611,plain,
join(composition(X1,X2),composition(X1,top)) = composition(X1,top),
inference(step,[status(thm)],[t385610,t392]) ).
cnf(t52654,plain,
join(composition(X1,X2),composition(X1,top)) = composition(X1,top),
inference(orient,[status(thm)],[t385611]) ).
cnf(t52657,plain,
composition(X1,top) = join(X1,composition(X1,top)),
inference(cp,[status(thm)],[t52654,t17]) ).
cnf(t52801,plain,
join(X1,composition(X1,top)) = composition(X1,top),
inference(orient,[status(thm)],[t52657]) ).
cnf(t52828,plain,
meet(X1,X2) = meet(X1,meet(composition(X1,top),X2)),
inference(cp,[status(thm)],[t18048,t52801]) ).
cnf(t55477,plain,
meet(X1,meet(composition(X1,top),X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t52828]) ).
cnf(t55566,plain,
join(complement(X1),meet(composition(X1,top),X2)) = join(complement(X1),meet(X1,X2)),
inference(cp,[status(thm)],[t4467,t55477]) ).
cnf(t387272,plain,
join(complement(X1),meet(composition(X1,top),X2)) = join(complement(X1),X2),
inference(step,[status(thm)],[t55566,t4467]) ).
cnf(t201145,plain,
join(complement(X1),meet(composition(X1,top),X2)) = join(complement(X1),X2),
inference(orient,[status(thm)],[t387272]) ).
cnf(t381988,plain,
meet(sk0,composition(meet(composition(sk0,top),X1),X2)) = meet(sk0,composition(join(complement(sk0),X1),X2)),
inference(cp,[status(thm)],[t381927,t201145]) ).
cnf(t388209,plain,
meet(sk0,composition(meet(sk0,X1),X2)) = meet(sk0,composition(join(complement(sk0),X1),X2)),
inference(step,[status(thm)],[t381988,t58]) ).
cnf(t388210,plain,
composition(meet(sk0,X1),X2) = meet(sk0,composition(join(complement(sk0),X1),X2)),
inference(step,[status(thm)],[t388209,t16014]) ).
cnf(t388211,plain,
composition(meet(sk0,X1),X2) = meet(sk0,composition(X1,X2)),
inference(step,[status(thm)],[t388210,t381927]) ).
cnf(t382679,plain,
composition(meet(sk0,X1),X2) = meet(sk0,composition(X1,X2)),
inference(orient,[status(thm)],[t388211]) ).
cnf(t388226,plain,
converse(meet(sk0,composition(one,X1))) = composition(converse(X1),meet(sk0,one)),
inference(step,[status(thm)],[t134251,t382679]) ).
cnf(t388227,plain,
converse(meet(sk0,X1)) = composition(converse(X1),meet(sk0,one)),
inference(step,[status(thm)],[t388226,t170]) ).
cnf(t383302,plain,
converse(meet(sk0,X1)) = composition(converse(X1),meet(sk0,one)),
inference(rw,[status(thm)],[t388227]) ).
cnf(t383307,plain,
composition(converse(X1),meet(sk0,one)) = converse(meet(sk0,X1)),
inference(orient,[status(thm)],[t383302]) ).
cnf(t383413,plain,
converse(meet(sk0,converse(X1))) = composition(X1,meet(sk0,one)),
inference(cp,[status(thm)],[t383307,t18]) ).
cnf(t6259,plain,
meet(X1,converse(X2)) = converse(meet(X2,converse(X1))),
inference(cp,[status(thm)],[t6249,t74]) ).
cnf(t6309,plain,
converse(meet(X1,converse(X2))) = meet(X2,converse(X1)),
inference(orient,[status(thm)],[t6259]) ).
cnf(t388232,plain,
meet(X1,converse(sk0)) = composition(X1,meet(sk0,one)),
inference(step,[status(thm)],[t383413,t6309]) ).
cnf(t383491,plain,
composition(X1,meet(sk0,one)) = meet(X1,converse(sk0)),
inference(orient,[status(thm)],[t388232]) ).
cnf(t383558,plain,
composition(X1,composition(meet(sk0,one),X2)) = composition(meet(X1,converse(sk0)),X2),
inference(cp,[status(thm)],[t46,t383491]) ).
cnf(t388245,plain,
composition(X1,meet(sk0,composition(one,X2))) = composition(meet(X1,converse(sk0)),X2),
inference(step,[status(thm)],[t383558,t382679]) ).
cnf(t388246,plain,
composition(X1,meet(sk0,X2)) = composition(meet(X1,converse(sk0)),X2),
inference(step,[status(thm)],[t388245,t170]) ).
cnf(t383735,plain,
composition(meet(X1,converse(sk0)),X2) = composition(X1,meet(sk0,X2)),
inference(orient,[status(thm)],[t388246]) ).
cnf(t523,plain,
meet(X1,X2) = meet(meet(X1,X2),X1),
inference(cp,[status(thm)],[t521,t296]) ).
cnf(t384161,plain,
meet(X1,X2) = meet(X1,meet(X1,X2)),
inference(step,[status(thm)],[t523,t74]) ).
cnf(t542,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t384161]) ).
cnf(c14,plain,
join(composition(sk1,meet(sk0,sk2)),composition(meet(sk1,converse(sk0)),meet(sk0,sk2))) != composition(meet(sk1,converse(sk0)),meet(sk0,sk2)),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(goal_0,negated_conjecture,
join(composition(sk1,meet(sk0,sk2)),composition(meet(sk1,converse(sk0)),meet(sk0,sk2))) != composition(meet(sk1,converse(sk0)),meet(sk0,sk2)),
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(g0_0,plain,
composition(join(sk1,meet(sk1,converse(sk0))),meet(sk0,sk2)) != composition(meet(sk1,converse(sk0)),meet(sk0,sk2)),
inference(rw,[status(thm)],[goal_0,t27]) ).
cnf(g0_1,plain,
composition(sk1,meet(sk0,sk2)) != composition(meet(sk1,converse(sk0)),meet(sk0,sk2)),
inference(rw,[status(thm)],[g0_0,t479]) ).
cnf(g0_2,plain,
composition(sk1,meet(sk0,sk2)) != composition(sk1,meet(sk0,meet(sk0,sk2))),
inference(rw,[status(thm)],[g0_1,t383735]) ).
cnf(g0_3,plain,
composition(sk1,meet(sk0,sk2)) != composition(sk1,meet(sk0,sk2)),
inference(rw,[status(thm)],[g0_2,t542]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL034+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 07:33:59 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 235.88/31.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 235.88/31.06 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------