%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : REL042+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n002.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 02:36:59 PM UTC 2026
% Result : Theorem 114.12s 43.22s
% Output : CNFRefutation 114.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 14
% Syntax : Number of formulae : 304 ( 300 unt; 0 def)
% Number of atoms : 410 ( 307 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 501 ( 0 sgn 500 !; 1 ?; 441 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_zero) ).
fof(f14,conjecture,
! [X0] :
( ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero
=> join(composition(converse(X0),X0),one) = one ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] :
( ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero
=> join(composition(converse(X0),X0),one) = one ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0] :
( ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero
& one != join(composition(converse(X0),X0),one) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ! [X1] : zero = meet(composition(sK0,X1),composition(sK0,complement(X1)))
& one != join(composition(converse(sK0),sK0),one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f22,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f24,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
! [X1] : zero = meet(composition(sK0,X1),composition(sK0,complement(X1))),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
one != join(composition(converse(sK0),sK0),one),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f34,plain,
! [X1] : zero = complement(join(complement(composition(sK0,X1)),complement(composition(sK0,complement(X1))))),
inference(definition_unfolding,[],[f31,f21]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f18]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f19]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f20]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f22]) ).
tcf(c_53,plain,
! [X0: $i] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f23]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
inference(cnf_transformation,[],[f24]) ).
tcf(c_55,plain,
! [X0: $i] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f25]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f27]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f28]) ).
tcf(c_59,plain,
! [X0: $i] : join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f29]) ).
tcf(c_60,plain,
! [X0: $i] : complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f33]) ).
tcf(c_61,negated_conjecture,
join(composition(converse(sK0),sK0),one) != one,
inference(cnf_transformation,[],[f32]) ).
tcf(c_62,negated_conjecture,
! [X0: $i] : complement(join(complement(composition(sK0,X0)),complement(composition(sK0,complement(X0))))) = zero,
inference(cnf_transformation,[],[f34]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_51,c_50,c_49]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_58,c_50,c_49]) ).
tcf(c_78,negated_conjecture,
join(one,composition(converse(sK0),sK0)) != one,
inference(theory_normalisation,[status(thm)],[c_61,c_50,c_49]) ).
tcf(c_109,plain,
complement(top) = zero,
inference(demodulation,[status(thm)],[c_60,c_59]) ).
tcf(c_286,plain,
! [X0: $i,X1: $i] : join(complement(join(zero,X0)),complement(join(zero,complement(X0)))) = join(complement(composition(sK0,X1)),complement(composition(sK0,complement(X1)))),
inference(superposition,[status(thm)],[c_62,c_76]) ).
tcf(c_308,plain,
! [X0: $i] : join(complement(join(zero,X0)),complement(join(zero,complement(X0)))) = iPr_def_10,
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_286]) ).
tcf(c_3427,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
tcf(c_3556,plain,
! [X0: $i,X1: $i] : join(complement(join(zero,X0)),complement(join(zero,complement(X0)))) = join(complement(composition(sK0,X1)),complement(composition(sK0,complement(X1)))),
inference(superposition,[status(thm)],[c_62,c_76]) ).
tcf(c_3575,plain,
! [X0: $i] : join(complement(composition(sK0,X0)),complement(composition(sK0,complement(X0)))) = iPr_def_10,
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_3556]) ).
tcf(c_3608,plain,
complement(iPr_def_10) = zero,
inference(demodulation,[status(thm)],[c_62,c_3575]) ).
tcf(c_3617,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X1),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_49,c_76]) ).
tcf(c_3621,plain,
! [X0: $i] : join(complement(join(complement(X0),iPr_def_10)),complement(join(complement(X0),zero))) = X0,
inference(superposition,[status(thm)],[c_3608,c_76]) ).
tcf(c_3622,plain,
! [X0: $i] : join(complement(join(iPr_def_10,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_3621,c_50,c_49]) ).
tcf(c_3623,plain,
! [X0: $i] : join(complement(join(X0,zero)),complement(join(zero,complement(X0)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_49,c_308]) ).
tcf(c_3692,plain,
! [X0: $i] : join(complement(join(zero,X0)),complement(join(zero,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_109,c_76]) ).
tcf(c_3697,plain,
top = iPr_def_10,
inference(demodulation,[status(thm)],[c_3692,c_308]) ).
tcf(c_3784,plain,
! [X0: $i] : join(X0,complement(X0)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_59,c_3697]) ).
tcf(c_3786,plain,
join(iPr_def_10,zero) = iPr_def_10,
inference(superposition,[status(thm)],[c_3608,c_3784]) ).
tcf(c_3787,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_3784,c_50]) ).
tcf(c_3788,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(join(X0,X1)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3784,c_50]) ).
tcf(c_3789,plain,
! [X0: $i] : join(complement(join(complement(X0),complement(X0))),complement(iPr_def_10)) = X0,
inference(superposition,[status(thm)],[c_3784,c_76]) ).
tcf(c_3795,plain,
join(complement(join(zero,zero)),complement(iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_3784,c_3623]) ).
tcf(c_3798,plain,
join(complement(iPr_def_10),complement(join(zero,zero))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3795,c_50,c_49]) ).
tcf(c_3799,plain,
join(zero,complement(join(zero,zero))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3798,c_3608]) ).
tcf(c_3801,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_3789,c_50,c_49]) ).
tcf(c_3802,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(demodulation,[status(thm)],[c_3801,c_3608]) ).
tcf(c_3815,plain,
! [X0: $i] : join(iPr_def_10,complement(join(zero,complement(X0)))) = join(join(zero,X0),iPr_def_10),
inference(superposition,[status(thm)],[c_308,c_3787]) ).
tcf(c_3821,plain,
! [X0: $i] : join(iPr_def_10,join(zero,X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_3608,c_3787]) ).
tcf(c_3833,plain,
! [X0: $i] : join(iPr_def_10,complement(join(zero,complement(X0)))) = join(iPr_def_10,join(X0,zero)),
inference(theory_normalisation,[status(thm)],[c_3815,c_50,c_49]) ).
tcf(c_3848,plain,
join(complement(iPr_def_10),complement(join(zero,complement(complement(join(zero,zero)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3799,c_308]) ).
tcf(c_3856,plain,
join(zero,complement(join(zero,complement(complement(join(zero,zero)))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3848,c_3608]) ).
tcf(c_4004,plain,
join(complement(join(zero,join(zero,complement(complement(join(zero,zero)))))),complement(iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_3856,c_308]) ).
tcf(c_4005,plain,
join(complement(iPr_def_10),complement(join(zero,join(zero,complement(complement(join(zero,zero))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4004,c_50,c_49]) ).
tcf(c_4006,plain,
join(zero,complement(join(zero,join(zero,complement(complement(join(zero,zero))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_4005,c_3608]) ).
tcf(c_4171,plain,
! [X0: $i] : join(iPr_def_10,join(X0,zero)) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_3786,c_3427]) ).
tcf(c_4321,plain,
! [X0: $i,X1: $i] : join(X0,join(join(X1,complement(join(X0,X1))),complement(iPr_def_10))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3788,c_3788]) ).
tcf(c_4332,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(zero,complement(join(X0,complement(join(zero,X0))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3788,c_308]) ).
tcf(c_4350,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(complement(iPr_def_10),complement(join(X0,X1))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4321,c_50,c_49]) ).
tcf(c_4351,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(zero,complement(join(X0,X1))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_4350,c_3608]) ).
tcf(c_4369,plain,
! [X0: $i] : join(zero,complement(join(zero,complement(join(X0,complement(join(zero,X0))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_4332,c_3608]) ).
tcf(c_4438,plain,
! [X0: $i] : join(complement(X0),join(complement(X0),X0)) = iPr_def_10,
inference(superposition,[status(thm)],[c_3802,c_4351]) ).
tcf(c_4524,plain,
! [X0: $i] : join(X0,join(complement(X0),complement(X0))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4438,c_50,c_49]) ).
tcf(c_4525,plain,
! [X0: $i] : join(iPr_def_10,complement(X0)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_4524,c_3787]) ).
tcf(c_4605,plain,
join(iPr_def_10,complement(join(zero,join(zero,complement(complement(join(zero,zero))))))) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_4006,c_3821]) ).
tcf(c_4613,plain,
join(iPr_def_10,iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_4605,c_4525]) ).
tcf(c_4709,plain,
! [X0: $i] : join(iPr_def_10,complement(join(zero,complement(join(X0,complement(join(zero,X0))))))) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_4369,c_3821]) ).
tcf(c_4719,plain,
! [X0: $i] : join(X0,iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_4709,c_49,c_50,c_4171,c_3833,c_4525,c_4613]) ).
tcf(c_5357,plain,
! [X0: $i] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(demodulation,[status(thm)],[c_3622,c_3608,c_4525]) ).
tcf(c_5395,plain,
! [X0: $i] : join(complement(X0),complement(join(zero,complement(complement(join(zero,complement(X0))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_5357,c_308]) ).
tcf(c_5448,plain,
! [X0: $i] : join(complement(join(complement(X0),join(zero,complement(complement(join(zero,complement(X0))))))),complement(iPr_def_10)) = X0,
inference(superposition,[status(thm)],[c_5395,c_76]) ).
tcf(c_5451,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(zero,join(complement(X0),complement(complement(join(zero,complement(X0)))))))) = X0,
inference(theory_normalisation,[status(thm)],[c_5448,c_50,c_49]) ).
tcf(c_5452,plain,
! [X0: $i] : join(zero,complement(join(zero,join(complement(X0),complement(complement(join(zero,complement(X0)))))))) = X0,
inference(demodulation,[status(thm)],[c_5451,c_3608]) ).
tcf(c_5670,plain,
! [X0: $i] : join(complement(join(complement(complement(X0)),X0)),complement(iPr_def_10)) = complement(X0),
inference(superposition,[status(thm)],[c_3784,c_3617]) ).
tcf(c_5692,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(X0,complement(complement(X0))))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_5670,c_50,c_49]) ).
tcf(c_5693,plain,
! [X0: $i] : join(zero,complement(join(X0,complement(complement(X0))))) = complement(X0),
inference(demodulation,[status(thm)],[c_5692,c_3608]) ).
tcf(c_5788,plain,
! [X0: $i,X1: $i] : join(zero,complement(join(X0,join(X1,complement(complement(join(X0,X1))))))) = complement(join(X0,X1)),
inference(superposition,[status(thm)],[c_50,c_5693]) ).
tcf(c_8133,plain,
! [X0: $i] : complement(join(zero,complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_5452,c_5788]) ).
tcf(c_8137,plain,
! [X0: $i] : join(zero,X0) = X0,
inference(demodulation,[status(thm)],[c_5357,c_8133]) ).
tcf(c_8149,plain,
! [X0: $i] : complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_8133,c_8137]) ).
tcf(c_14874,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
tcf(c_14911,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(X0),complement(iPr_def_10)))) = X0,
inference(superposition,[status(thm)],[c_4719,c_76]) ).
tcf(c_14915,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(join(X0,complement(X1)))) = complement(X0),
inference(superposition,[status(thm)],[c_8149,c_76]) ).
tcf(c_14927,plain,
! [X0: $i] : join(iPr_def_10,X0) = iPr_def_10,
inference(superposition,[status(thm)],[c_4719,c_49]) ).
tcf(c_14968,plain,
! [X0: $i,X1: $i] : join(X0,composition(converse(X1),complement(composition(X1,complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_8149,c_77]) ).
tcf(c_14992,plain,
complement(zero) = top,
inference(superposition,[status(thm)],[c_109,c_8149]) ).
tcf(c_15055,plain,
! [X0: $i,X1: $i] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_55,c_56]) ).
tcf(c_15056,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(converse(X1),X2)) = join(converse(join(X0,X1)),X2),
inference(superposition,[status(thm)],[c_56,c_50]) ).
tcf(c_15062,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_59,c_50]) ).
tcf(c_15075,plain,
top = iPr_def_10,
inference(superposition,[status(thm)],[c_14927,c_59]) ).
tcf(c_15082,plain,
complement(iPr_def_10) = zero,
inference(demodulation,[status(thm)],[c_109,c_15075]) ).
tcf(c_15095,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(join(complement(X1),X0))) = complement(X0),
inference(superposition,[status(thm)],[c_49,c_14915]) ).
tcf(c_15103,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,X1)),join(complement(join(X0,complement(X1))),X2)) = join(complement(X0),X2),
inference(superposition,[status(thm)],[c_14915,c_50]) ).
tcf(c_15104,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(join(X0,X1)),join(X0,complement(X1)))),complement(complement(X0))) = complement(complement(join(X0,X1))),
inference(superposition,[status(thm)],[c_14915,c_14915]) ).
tcf(c_15112,plain,
! [X0: $i,X1: $i] : join(complement(complement(X0)),complement(join(X0,join(complement(X1),complement(join(X0,X1)))))) = complement(complement(join(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_15104,c_50,c_49]) ).
tcf(c_15113,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))) = join(X0,X1),
inference(demodulation,[status(thm)],[c_15112,c_8149]) ).
tcf(c_15134,plain,
complement(zero) = iPr_def_10,
inference(demodulation,[status(thm)],[c_14992,c_15075]) ).
tcf(c_15143,plain,
! [X0: $i] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(demodulation,[status(thm)],[c_14911,c_49,c_15082]) ).
tcf(c_15145,plain,
! [X0: $i] : join(zero,complement(join(zero,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_8149,c_15143]) ).
tcf(c_15340,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,complement(join(zero,X1)))) = join(X0,complement(X1)),
inference(superposition,[status(thm)],[c_15145,c_14874]) ).
tcf(c_15461,plain,
! [X0: $i] : join(converse(iPr_def_10),X0) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_14927,c_15055]) ).
tcf(c_15887,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(X0),join(complement(composition(converse(X1),complement(composition(X1,X0)))),complement(complement(X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_77,c_15113]) ).
tcf(c_15900,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X0,join(complement(composition(converse(X1),complement(composition(X1,complement(X0))))),complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_14968,c_15113]) ).
tcf(c_15916,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(join(X0,join(complement(X2),complement(join(X0,X2))))))) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_15113,c_14874]) ).
tcf(c_15920,plain,
! [X0: $i] : complement(complement(join(zero,join(complement(X0),complement(join(zero,X0)))))) = join(zero,complement(join(zero,X0))),
inference(superposition,[status(thm)],[c_15113,c_15145]) ).
tcf(c_15935,plain,
! [X0: $i] : join(complement(X0),complement(X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_15920,c_8149,c_15145,c_15340]) ).
tcf(c_15943,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X0,join(complement(X0),complement(composition(converse(X1),complement(composition(X1,complement(X0))))))))) = X0,
inference(theory_normalisation,[status(thm)],[c_15900,c_50,c_49]) ).
tcf(c_15944,plain,
! [X0: $i] : join(X0,zero) = X0,
inference(demodulation,[status(thm)],[c_15943,c_15082,c_15075,c_14927,c_15062]) ).
tcf(c_15957,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(X0),join(complement(complement(X0)),complement(composition(converse(X1),complement(composition(X1,X0)))))))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_15887,c_50,c_49]) ).
tcf(c_15958,plain,
! [X0: $i] : join(zero,complement(X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_15957,c_49,c_15082,c_15075,c_14927,c_15062]) ).
tcf(c_15991,plain,
! [X0: $i] : complement(join(zero,X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_15145,c_15958]) ).
tcf(c_15999,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_8149,c_15935]) ).
tcf(c_16031,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,X0)) = join(X1,X0),
inference(superposition,[status(thm)],[c_15999,c_14874]) ).
tcf(c_16127,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(join(X0,X1)),join(complement(X1),X0))),join(complement(complement(X0)),X2)) = join(complement(complement(join(X0,X1))),X2),
inference(superposition,[status(thm)],[c_15095,c_15103]) ).
tcf(c_16132,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,zero)),join(complement(join(X0,iPr_def_10)),X1)) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_15134,c_15103]) ).
tcf(c_16148,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,iPr_def_10)),join(X1,complement(join(X0,zero)))) = join(complement(X0),X1),
inference(theory_normalisation,[status(thm)],[c_16132,c_50,c_49]) ).
tcf(c_16149,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,complement(X1))) = join(complement(X1),X0),
inference(demodulation,[status(thm)],[c_16148,c_15082,c_4719,c_15944]) ).
tcf(c_16178,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(complement(X0)),join(X1,complement(join(X0,join(complement(X2),complement(join(X0,X2))))))) = join(complement(complement(join(X0,X2))),X1),
inference(theory_normalisation,[status(thm)],[c_16127,c_50,c_49]) ).
tcf(c_16179,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(demodulation,[status(thm)],[c_16178,c_50,c_8149,c_15916]) ).
tcf(c_16290,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,X1)) = join(X1,X0),
inference(superposition,[status(thm)],[c_8149,c_16149]) ).
tcf(c_16291,plain,
! [X0: $i] : join(zero,join(X0,zero)) = join(zero,X0),
inference(superposition,[status(thm)],[c_15082,c_16149]) ).
tcf(c_16308,plain,
! [X0: $i] : join(zero,X0) = X0,
inference(demodulation,[status(thm)],[c_16291,c_15944,c_16031]) ).
tcf(c_16344,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(join(zero,complement(join(X1,X0))))) = complement(zero),
inference(superposition,[status(thm)],[c_16290,c_14915]) ).
tcf(c_16370,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(join(X1,X0)))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_16344,c_15134,c_8149,c_16179,c_15991]) ).
tcf(c_16402,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(converse(X1),complement(converse(join(X1,X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_56,c_16370]) ).
tcf(c_16446,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,X1)),complement(converse(join(X1,X0)))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_16402,c_15056]) ).
tcf(c_16691,plain,
! [X0: $i] : join(converse(join(iPr_def_10,X0)),complement(converse(iPr_def_10))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4719,c_16446]) ).
tcf(c_16720,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),converse(join(iPr_def_10,X0))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_16691,c_50,c_49]) ).
tcf(c_16721,plain,
converse(iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_16720,c_49,c_14927,c_15461]) ).
tcf(c_48806,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
tcf(c_48828,plain,
! [X0: $i] : join(complement(composition(sK0,X0)),complement(composition(sK0,complement(X0)))) = complement(zero),
inference(superposition,[status(thm)],[c_62,c_8149]) ).
tcf(c_48847,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(join(X0,complement(X1)))) = complement(X0),
inference(superposition,[status(thm)],[c_8149,c_76]) ).
tcf(c_48859,plain,
! [X0: $i] : join(iPr_def_10,X0) = iPr_def_10,
inference(superposition,[status(thm)],[c_4719,c_49]) ).
tcf(c_48906,plain,
! [X0: $i,X1: $i] : join(X0,composition(converse(X1),complement(composition(X1,complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_8149,c_77]) ).
tcf(c_48909,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(converse(X1),complement(composition(X1,X0))),X2)) = join(complement(X0),X2),
inference(superposition,[status(thm)],[c_77,c_50]) ).
tcf(c_48913,plain,
! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
tcf(c_48920,plain,
! [X0: $i] : join(complement(one),composition(converse(X0),complement(X0))) = complement(one),
inference(superposition,[status(thm)],[c_53,c_77]) ).
tcf(c_48923,plain,
join(complement(sK0),complement(composition(sK0,complement(one)))) = complement(zero),
inference(superposition,[status(thm)],[c_53,c_48828]) ).
tcf(c_48926,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_59,c_50]) ).
tcf(c_48939,plain,
complement(zero) = top,
inference(superposition,[status(thm)],[c_109,c_8149]) ).
tcf(c_48948,plain,
join(complement(sK0),complement(composition(sK0,complement(one)))) = top,
inference(demodulation,[status(thm)],[c_48923,c_48939]) ).
tcf(c_48949,plain,
! [X0: $i] : join(complement(sK0),join(complement(composition(sK0,complement(one))),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_48948,c_50]) ).
tcf(c_48999,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(composition(X1,X2))) = composition(join(X0,converse(X2)),converse(X1)),
inference(superposition,[status(thm)],[c_57,c_54]) ).
tcf(c_49005,plain,
! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
tcf(c_49006,plain,
! [X0: $i,X1: $i] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_55,c_56]) ).
tcf(c_49008,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X1,X0)),
inference(superposition,[status(thm)],[c_56,c_49]) ).
tcf(c_49013,plain,
! [X0: $i,X1: $i] : converse(join(X0,converse(X1))) = join(X1,converse(X0)),
inference(superposition,[status(thm)],[c_55,c_49008]) ).
tcf(c_49014,plain,
! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(converse(X1),X0),
inference(superposition,[status(thm)],[c_55,c_49008]) ).
tcf(c_49045,plain,
! [X0: $i] : join(complement(sK0),join(X0,complement(composition(sK0,complement(one))))) = join(top,X0),
inference(superposition,[status(thm)],[c_49,c_48949]) ).
tcf(c_49073,plain,
top = iPr_def_10,
inference(superposition,[status(thm)],[c_48859,c_59]) ).
tcf(c_49080,plain,
join(complement(sK0),complement(composition(sK0,complement(one)))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_48948,c_49073]) ).
tcf(c_49081,plain,
complement(iPr_def_10) = zero,
inference(demodulation,[status(thm)],[c_109,c_49073]) ).
tcf(c_49166,plain,
! [X0: $i,X1: $i] : join(complement(converse(join(X0,X1))),complement(join(converse(X0),complement(converse(X1))))) = complement(converse(X0)),
inference(superposition,[status(thm)],[c_56,c_48847]) ).
tcf(c_49178,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(join(X0,X1),X2)),complement(join(X0,join(X1,complement(X2))))) = complement(join(X0,X1)),
inference(superposition,[status(thm)],[c_50,c_48847]) ).
tcf(c_49186,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(join(X0,X1)),join(X0,complement(X1)))),complement(complement(X0))) = complement(complement(join(X0,X1))),
inference(superposition,[status(thm)],[c_48847,c_48847]) ).
tcf(c_49194,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(X1,X2))),complement(join(X0,join(X1,complement(X2))))) = complement(join(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_49178,c_50,c_49]) ).
tcf(c_49196,plain,
! [X0: $i,X1: $i] : join(complement(complement(X0)),complement(join(X0,join(complement(X1),complement(join(X0,X1)))))) = complement(complement(join(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_49186,c_50,c_49]) ).
tcf(c_49197,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))) = join(X0,X1),
inference(demodulation,[status(thm)],[c_49196,c_8149]) ).
tcf(c_49222,plain,
! [X0: $i] : join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_16308,c_49]) ).
tcf(c_49298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(X1,converse(X2))),converse(composition(X2,X3))) = composition(join(composition(X0,X1),converse(X3)),converse(X2)),
inference(superposition,[status(thm)],[c_52,c_48999]) ).
tcf(c_49323,plain,
! [X0: $i] : join(complement(sK0),join(X0,complement(composition(sK0,complement(one))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_49045,c_49073,c_48859]) ).
tcf(c_49331,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(sK0),complement(join(X0,complement(composition(sK0,complement(one)))))))) = complement(complement(sK0)),
inference(superposition,[status(thm)],[c_49323,c_48847]) ).
tcf(c_49337,plain,
! [X0: $i] : complement(join(complement(sK0),complement(join(X0,complement(composition(sK0,complement(one))))))) = sK0,
inference(demodulation,[status(thm)],[c_49331,c_49081,c_16308,c_8149]) ).
tcf(c_49372,plain,
! [X0: $i] : join(complement(sK0),complement(join(X0,complement(composition(sK0,complement(one)))))) = complement(sK0),
inference(superposition,[status(thm)],[c_49337,c_8149]) ).
tcf(c_49386,plain,
! [X0: $i] : join(complement(sK0),complement(join(complement(composition(sK0,complement(one))),X0))) = complement(sK0),
inference(superposition,[status(thm)],[c_49,c_49372]) ).
tcf(c_49416,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_48926,c_49073]) ).
tcf(c_49417,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_49416,c_48859]) ).
tcf(c_49480,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,converse(X2))),converse(X2)) = composition(join(composition(X0,X1),converse(one)),converse(X2)),
inference(superposition,[status(thm)],[c_53,c_49298]) ).
tcf(c_49487,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),composition(X1,composition(X2,converse(X0)))) = composition(join(converse(one),composition(X1,X2)),converse(X0)),
inference(theory_normalisation,[status(thm)],[c_49480,c_50,c_49]) ).
tcf(c_49606,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X0,join(complement(X1),complement(join(X1,X0)))))) = join(X1,X0),
inference(superposition,[status(thm)],[c_49,c_49197]) ).
tcf(c_49761,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,converse(X2))) = join(X1,converse(join(X0,X2))),
inference(superposition,[status(thm)],[c_56,c_48806]) ).
tcf(c_49763,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,composition(converse(X2),complement(composition(X2,X0))))) = join(X1,complement(X0)),
inference(superposition,[status(thm)],[c_77,c_48806]) ).
tcf(c_49882,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(converse(X1),complement(composition(X1,X0))),X2)) = join(X2,complement(X0)),
inference(superposition,[status(thm)],[c_49,c_49763]) ).
tcf(c_49894,plain,
! [X0: $i,X1: $i] : join(complement(one),join(X0,composition(converse(X1),complement(X1)))) = join(X0,complement(one)),
inference(superposition,[status(thm)],[c_53,c_49763]) ).
tcf(c_49946,plain,
join(complement(composition(sK0,complement(one))),complement(join(complement(composition(sK0,complement(one))),complement(sK0)))) = join(complement(composition(sK0,complement(one))),sK0),
inference(superposition,[status(thm)],[c_49386,c_49197]) ).
tcf(c_49952,plain,
join(complement(composition(sK0,complement(one))),complement(join(complement(sK0),complement(composition(sK0,complement(one)))))) = join(sK0,complement(composition(sK0,complement(one)))),
inference(theory_normalisation,[status(thm)],[c_49946,c_50,c_49]) ).
tcf(c_49953,plain,
join(sK0,complement(composition(sK0,complement(one)))) = complement(composition(sK0,complement(one))),
inference(demodulation,[status(thm)],[c_49952,c_49081,c_49080,c_49222]) ).
tcf(c_51148,plain,
! [X0: $i,X1: $i] : join(complement(one),join(X0,composition(X1,complement(converse(X1))))) = join(X0,complement(one)),
inference(superposition,[status(thm)],[c_55,c_49894]) ).
tcf(c_51151,plain,
! [X0: $i,X1: $i] : join(complement(one),join(X0,composition(converse(complement(X1)),X1))) = join(X0,complement(one)),
inference(superposition,[status(thm)],[c_8149,c_49894]) ).
tcf(c_51796,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(X1,X2))),complement(join(X0,join(X2,complement(X1))))) = complement(join(X0,X2)),
inference(superposition,[status(thm)],[c_49,c_49194]) ).
tcf(c_51819,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,iPr_def_10)),complement(join(X0,join(X1,complement(join(complement(X1),X2)))))) = complement(join(X0,X1)),
inference(superposition,[status(thm)],[c_49417,c_49194]) ).
tcf(c_51896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(X0,join(X1,X2))),join(complement(join(X0,join(X1,complement(X2)))),X3)) = join(complement(join(X0,X1)),X3),
inference(superposition,[status(thm)],[c_49194,c_50]) ).
tcf(c_51927,plain,
! [X0: $i,X1: $i,X2: $i] : complement(join(X0,join(X1,complement(join(complement(X1),X2))))) = complement(join(X0,X1)),
inference(demodulation,[status(thm)],[c_51819,c_49081,c_16308,c_4719]) ).
tcf(c_52117,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),complement(join(X0,join(X1,complement(complement(X0)))))) = complement(join(X0,X1)),
inference(superposition,[status(thm)],[c_49417,c_51796]) ).
tcf(c_52119,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),join(composition(converse(X2),complement(composition(X2,X1))),complement(X0))))) = complement(join(complement(X1),composition(converse(X2),complement(composition(X2,X1))))),
inference(superposition,[status(thm)],[c_49763,c_51796]) ).
tcf(c_52245,plain,
! [X0: $i,X1: $i] : complement(join(X0,join(X1,X0))) = complement(join(X0,X1)),
inference(demodulation,[status(thm)],[c_52117,c_49081,c_16308,c_8149]) ).
tcf(c_52313,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,complement(X1))),complement(join(complement(X0),complement(X1)))) = X1,
inference(demodulation,[status(thm)],[c_52119,c_77,c_8149,c_49882]) ).
tcf(c_52956,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,X0)) = complement(complement(join(X0,X1))),
inference(superposition,[status(thm)],[c_52245,c_8149]) ).
tcf(c_52969,plain,
! [X0: $i,X1: $i] : join(join(X0,X1),complement(join(join(X0,X1),join(complement(X1),complement(join(X1,X0)))))) = join(X1,join(X0,X1)),
inference(superposition,[status(thm)],[c_52245,c_49606]) ).
tcf(c_52978,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,X0)) = join(X0,X1),
inference(demodulation,[status(thm)],[c_52956,c_8149]) ).
tcf(c_53017,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(join(X0,join(X1,join(complement(X1),complement(join(X1,X0)))))))) = join(X1,join(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_52969,c_50,c_49]) ).
tcf(c_53018,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,X0)) = join(X1,X0),
inference(demodulation,[status(thm)],[c_53017,c_49081,c_4719,c_49222,c_49417]) ).
tcf(c_53066,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_49,c_52978]) ).
tcf(c_53125,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,join(X0,X1)))) = join(join(X0,X1),X2),
inference(superposition,[status(thm)],[c_52978,c_50]) ).
tcf(c_53136,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,converse(X1))),X1) = converse(join(converse(X1),X0)),
inference(superposition,[status(thm)],[c_52978,c_49014]) ).
tcf(c_53160,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(X1,converse(X0)))) = converse(join(converse(X0),X1)),
inference(theory_normalisation,[status(thm)],[c_53136,c_50,c_49]) ).
tcf(c_53161,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,converse(X1))) = join(converse(X1),X0),
inference(demodulation,[status(thm)],[c_53160,c_49013,c_49014]) ).
tcf(c_53172,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,join(X0,X1)))) = join(X0,join(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_53125,c_50,c_49]) ).
tcf(c_53302,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,X0),X2)) = join(join(X1,X0),X2),
inference(superposition,[status(thm)],[c_53018,c_50]) ).
tcf(c_53319,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,X0))) = join(X1,join(X2,X0)),
inference(superposition,[status(thm)],[c_53018,c_48806]) ).
tcf(c_53370,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X0,X2))) = join(X1,join(X0,X2)),
inference(theory_normalisation,[status(thm)],[c_53302,c_50,c_49]) ).
tcf(c_53523,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,join(X1,X2)),join(X0,join(X1,X2))) = join(join(X0,join(X1,X2)),X1),
inference(superposition,[status(thm)],[c_53370,c_52978]) ).
tcf(c_53589,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,join(X0,join(X1,X2))))) = join(X0,join(X1,join(X2,X1))),
inference(theory_normalisation,[status(thm)],[c_53523,c_50,c_49]) ).
tcf(c_53590,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X2,join(X1,X0)),
inference(demodulation,[status(thm)],[c_53589,c_53018,c_53172,c_53319]) ).
tcf(c_54030,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(join(complement(X0),X1))) = complement(X1),
inference(superposition,[status(thm)],[c_8149,c_52313]) ).
tcf(c_54047,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,complement(X1))),join(X2,X1)) = join(X2,X1),
inference(superposition,[status(thm)],[c_52313,c_53370]) ).
tcf(c_54062,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(join(X2,complement(X0))))) = join(X1,X0),
inference(theory_normalisation,[status(thm)],[c_54047,c_50,c_49]) ).
tcf(c_54147,plain,
! [X0: $i,X1: $i] : join(complement(complement(X0)),complement(join(complement(complement(join(X0,X1))),complement(join(X0,complement(X1)))))) = complement(complement(join(X0,complement(X1)))),
inference(superposition,[status(thm)],[c_48847,c_54030]) ).
tcf(c_54216,plain,
! [X0: $i,X1: $i] : join(complement(complement(X0)),complement(join(complement(complement(join(X1,X0))),complement(join(complement(X1),X0))))) = complement(complement(join(complement(X1),X0))),
inference(superposition,[status(thm)],[c_54030,c_54030]) ).
tcf(c_54277,plain,
! [X0: $i,X1: $i] : join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),complement(complement(join(X1,X0)))))) = complement(complement(join(complement(X1),X0))),
inference(theory_normalisation,[status(thm)],[c_54216,c_50,c_49]) ).
tcf(c_54278,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X0,X1))) = join(complement(X1),X0),
inference(demodulation,[status(thm)],[c_54277,c_8149,c_53590,c_51927]) ).
tcf(c_54286,plain,
! [X0: $i,X1: $i] : join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),complement(complement(join(X0,X1)))))) = complement(complement(join(X0,complement(X1)))),
inference(theory_normalisation,[status(thm)],[c_54147,c_50,c_49]) ).
tcf(c_54287,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X0,X1))) = join(X0,complement(X1)),
inference(demodulation,[status(thm)],[c_54286,c_8149,c_53590,c_54062]) ).
tcf(c_54353,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X1,X0))) = join(complement(X1),X0),
inference(superposition,[status(thm)],[c_49,c_54278]) ).
tcf(c_54552,plain,
! [X0: $i,X1: $i] : join(converse(X0),complement(converse(join(X1,X0)))) = join(converse(X0),complement(converse(X1))),
inference(superposition,[status(thm)],[c_49008,c_54287]) ).
tcf(c_54553,plain,
! [X0: $i,X1: $i] : join(converse(X0),complement(converse(join(X0,X1)))) = join(converse(X0),complement(converse(X1))),
inference(superposition,[status(thm)],[c_56,c_54287]) ).
tcf(c_54597,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(join(X0,X1)),X2)) = join(join(X0,complement(X1)),X2),
inference(superposition,[status(thm)],[c_54287,c_50]) ).
tcf(c_54632,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(join(X0,X1)),X2)) = join(X0,join(complement(X1),X2)),
inference(theory_normalisation,[status(thm)],[c_54597,c_50,c_49]) ).
tcf(c_54779,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,complement(join(X1,join(X2,X0)))) = join(complement(join(X1,X2)),X0),
inference(superposition,[status(thm)],[c_50,c_54353]) ).
tcf(c_54991,plain,
! [X0: $i,X1: $i] : join(converse(complement(one)),complement(converse(join(X0,composition(converse(complement(X1)),X1))))) = join(converse(complement(one)),complement(converse(join(X0,complement(one))))),
inference(superposition,[status(thm)],[c_51151,c_54553]) ).
tcf(c_55053,plain,
! [X0: $i,X1: $i] : join(converse(complement(one)),complement(converse(join(X0,composition(converse(complement(X1)),X1))))) = join(converse(complement(one)),complement(converse(X0))),
inference(demodulation,[status(thm)],[c_54991,c_54552]) ).
tcf(c_55248,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(join(X1,X0)),X2)) = join(X0,join(complement(X1),X2)),
inference(superposition,[status(thm)],[c_49,c_54632]) ).
tcf(c_55753,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(complement(join(X0,X1)),X2),complement(join(X1,join(complement(X0),X2)))) = join(complement(X1),join(complement(join(X0,X1)),X2)),
inference(superposition,[status(thm)],[c_55248,c_54353]) ).
tcf(c_55870,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,X1)),join(X2,complement(join(X1,join(complement(X0),X2))))) = join(complement(X1),join(complement(join(X0,X1)),X2)),
inference(theory_normalisation,[status(thm)],[c_55753,c_50,c_49]) ).
tcf(c_55871,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,X1)),join(complement(join(X1,complement(X0))),X2)) = join(complement(X1),join(complement(join(X0,X1)),X2)),
inference(demodulation,[status(thm)],[c_55870,c_54779]) ).
tcf(c_56028,plain,
! [X0: $i] : composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_53,c_48913]) ).
tcf(c_56051,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),composition(converse(X1),X2)) = converse(join(X0,composition(converse(X2),X1))),
inference(superposition,[status(thm)],[c_48913,c_56]) ).
tcf(c_56062,plain,
! [X0: $i] : composition(converse(one),X0) = X0,
inference(demodulation,[status(thm)],[c_56028,c_55]) ).
tcf(c_56381,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_56062,c_53]) ).
tcf(c_56744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(complement(X0),join(composition(converse(X1),complement(composition(X1,X0))),X2))),join(complement(join(complement(X0),complement(X2))),X3)) = join(complement(join(complement(X0),composition(converse(X1),complement(composition(X1,X0))))),X3),
inference(superposition,[status(thm)],[c_48909,c_51896]) ).
tcf(c_56810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(complement(X0),complement(X1))),join(X2,complement(join(complement(X0),join(composition(converse(X3),complement(composition(X3,X0))),X1))))) = join(complement(join(complement(X0),composition(converse(X3),complement(composition(X3,X0))))),X2),
inference(theory_normalisation,[status(thm)],[c_56744,c_50,c_49]) ).
tcf(c_56811,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,complement(X1))),join(X2,complement(join(complement(X1),complement(X0))))) = join(X1,X2),
inference(demodulation,[status(thm)],[c_56810,c_77,c_8149,c_49882,c_53590]) ).
tcf(c_58924,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(X1,converse(X2)),complement(composition(join(converse(X1),X2),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_49005,c_77]) ).
tcf(c_59726,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(join(X0,converse(X1)),complement(join(converse(X0),X1)))) = complement(one),
inference(superposition,[status(thm)],[c_53,c_58924]) ).
tcf(c_60774,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,complement(X1))),join(complement(join(complement(X1),complement(X0))),X2)) = join(X1,X2),
inference(superposition,[status(thm)],[c_49,c_56811]) ).
tcf(c_60889,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(join(X1,complement(X0))),X2)) = join(X0,X2),
inference(demodulation,[status(thm)],[c_60774,c_8149,c_55871]) ).
tcf(c_61601,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,complement(converse(X1)))),converse(join(X1,X2))) = join(converse(X1),converse(X2)),
inference(superposition,[status(thm)],[c_60889,c_49761]) ).
tcf(c_61654,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,complement(converse(X1)))),converse(join(X1,X2))) = converse(join(X2,X1)),
inference(demodulation,[status(thm)],[c_61601,c_49008]) ).
tcf(c_62800,plain,
! [X0: $i] : join(converse(complement(one)),composition(converse(complement(X0)),X0)) = converse(complement(one)),
inference(superposition,[status(thm)],[c_48920,c_56051]) ).
tcf(c_65004,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(join(X0,X1),complement(converse(X1)))) = join(composition(X0,complement(converse(X1))),complement(one)),
inference(superposition,[status(thm)],[c_54,c_51148]) ).
tcf(c_65092,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(join(X0,X1),complement(converse(X1)))) = join(complement(one),composition(X0,complement(converse(X1)))),
inference(theory_normalisation,[status(thm)],[c_65004,c_50,c_49]) ).
tcf(c_81899,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(X0,join(X1,converse(X2)))) = join(converse(join(X0,X1)),X2),
inference(superposition,[status(thm)],[c_50,c_49006]) ).
tcf(c_83243,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(join(converse(X0),converse(X1)),complement(join(X0,X1)))) = complement(one),
inference(superposition,[status(thm)],[c_55,c_59726]) ).
tcf(c_83304,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(converse(join(X0,X1)),complement(join(X1,X0)))) = complement(one),
inference(demodulation,[status(thm)],[c_83243,c_49008]) ).
tcf(c_83538,plain,
! [X0: $i] : join(complement(one),composition(converse(join(composition(converse(X0),complement(X0)),complement(one))),complement(complement(one)))) = complement(one),
inference(superposition,[status(thm)],[c_48920,c_83304]) ).
tcf(c_83700,plain,
! [X0: $i] : join(complement(one),composition(converse(join(complement(one),composition(converse(X0),complement(X0)))),complement(complement(one)))) = complement(one),
inference(theory_normalisation,[status(thm)],[c_83538,c_50,c_49]) ).
tcf(c_83701,plain,
join(complement(one),converse(complement(one))) = complement(one),
inference(demodulation,[status(thm)],[c_83700,c_53,c_56051,c_8149,c_62800]) ).
tcf(c_84737,plain,
join(converse(complement(one)),complement(one)) = converse(complement(one)),
inference(superposition,[status(thm)],[c_83701,c_49006]) ).
tcf(c_84752,plain,
join(complement(one),converse(complement(one))) = converse(complement(one)),
inference(theory_normalisation,[status(thm)],[c_84737,c_50,c_49]) ).
tcf(c_84753,plain,
converse(complement(one)) = complement(one),
inference(demodulation,[status(thm)],[c_84752,c_83701]) ).
tcf(c_93781,plain,
! [X0: $i,X1: $i] : join(complement(converse(join(X0,complement(one)))),complement(join(converse(complement(one)),complement(converse(join(X0,composition(converse(complement(X1)),X1))))))) = complement(converse(complement(one))),
inference(superposition,[status(thm)],[c_51151,c_49166]) ).
tcf(c_93980,plain,
! [X0: $i] : join(complement(converse(join(X0,complement(one)))),complement(join(complement(one),complement(converse(X0))))) = one,
inference(demodulation,[status(thm)],[c_93781,c_8149,c_55053,c_84753]) ).
tcf(c_96444,plain,
! [X0: $i] : join(complement(complement(converse(join(X0,complement(one))))),complement(join(complement(one),complement(converse(X0))))) = join(complement(join(complement(one),complement(converse(X0)))),complement(one)),
inference(superposition,[status(thm)],[c_93980,c_54353]) ).
tcf(c_96553,plain,
! [X0: $i] : join(complement(join(complement(one),complement(converse(X0)))),complement(complement(converse(join(X0,complement(one)))))) = join(complement(one),complement(join(complement(one),complement(converse(X0))))),
inference(theory_normalisation,[status(thm)],[c_96444,c_50,c_49]) ).
tcf(c_96554,plain,
! [X0: $i] : join(complement(one),converse(X0)) = converse(join(complement(one),X0)),
inference(demodulation,[status(thm)],[c_96553,c_49,c_8149,c_54278,c_61654]) ).
tcf(c_97208,plain,
! [X0: $i] : join(complement(one),converse(join(complement(complement(one)),X0))) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_49417,c_96554]) ).
tcf(c_97355,plain,
! [X0: $i] : join(complement(one),converse(join(one,X0))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_97208,c_8149,c_16721]) ).
tcf(c_98439,plain,
! [X0: $i,X1: $i] : join(converse(join(one,X0)),join(complement(complement(one)),X1)) = join(converse(join(one,X0)),join(complement(iPr_def_10),X1)),
inference(superposition,[status(thm)],[c_97355,c_55248]) ).
tcf(c_98440,plain,
! [X0: $i] : join(complement(complement(one)),converse(join(one,X0))) = join(converse(join(one,X0)),complement(iPr_def_10)),
inference(superposition,[status(thm)],[c_97355,c_54353]) ).
tcf(c_98508,plain,
! [X0: $i] : join(complement(complement(one)),converse(join(one,X0))) = join(complement(iPr_def_10),converse(join(one,X0))),
inference(theory_normalisation,[status(thm)],[c_98440,c_50,c_49]) ).
tcf(c_98509,plain,
! [X0: $i] : join(one,converse(join(one,X0))) = converse(join(one,X0)),
inference(demodulation,[status(thm)],[c_98508,c_49081,c_16308,c_8149]) ).
tcf(c_98527,plain,
! [X0: $i,X1: $i] : join(complement(complement(one)),join(X0,converse(join(one,X1)))) = join(complement(iPr_def_10),join(X0,converse(join(one,X1)))),
inference(theory_normalisation,[status(thm)],[c_98439,c_50,c_49]) ).
tcf(c_98528,plain,
! [X0: $i,X1: $i] : join(one,join(X0,converse(join(one,X1)))) = join(X0,converse(join(one,X1))),
inference(demodulation,[status(thm)],[c_98527,c_49081,c_16308,c_8149]) ).
tcf(c_105611,plain,
! [X0: $i,X1: $i] : join(converse(join(one,X0)),join(one,X1)) = converse(join(X0,converse(join(one,X1)))),
inference(superposition,[status(thm)],[c_98528,c_81899]) ).
tcf(c_105645,plain,
! [X0: $i,X1: $i] : join(one,join(X0,converse(join(one,X1)))) = converse(join(X1,converse(join(one,X0)))),
inference(theory_normalisation,[status(thm)],[c_105611,c_50,c_49]) ).
tcf(c_105646,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(one,X1))) = join(one,join(X0,converse(X1))),
inference(demodulation,[status(thm)],[c_105645,c_50,c_49013,c_98528]) ).
tcf(c_105685,plain,
! [X0: $i] : join(one,join(one,converse(X0))) = converse(join(one,X0)),
inference(demodulation,[status(thm)],[c_98509,c_105646]) ).
tcf(c_105687,plain,
! [X0: $i] : join(one,converse(X0)) = converse(join(one,X0)),
inference(demodulation,[status(thm)],[c_105685,c_49,c_53161]) ).
tcf(c_108266,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),composition(X1,composition(X2,converse(X0)))) = composition(join(one,composition(X1,X2)),converse(X0)),
inference(demodulation,[status(thm)],[c_49487,c_56381]) ).
tcf(c_108298,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(X1,composition(X2,X0))) = composition(join(one,composition(X1,X2)),X0),
inference(superposition,[status(thm)],[c_55,c_108266]) ).
tcf(c_122570,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(converse(join(X0,X1)),complement(converse(converse(X1))))) = join(complement(one),composition(converse(X0),complement(converse(converse(X1))))),
inference(superposition,[status(thm)],[c_56,c_65092]) ).
tcf(c_122770,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(converse(join(X0,X1)),complement(X1))) = join(complement(one),composition(converse(X0),complement(X1))),
inference(demodulation,[status(thm)],[c_122570,c_55]) ).
tcf(c_124365,plain,
join(complement(one),composition(converse(complement(composition(sK0,complement(one)))),complement(complement(composition(sK0,complement(one)))))) = join(complement(one),composition(converse(sK0),complement(complement(composition(sK0,complement(one)))))),
inference(superposition,[status(thm)],[c_49953,c_122770]) ).
tcf(c_124559,plain,
composition(join(one,composition(converse(sK0),sK0)),complement(one)) = complement(one),
inference(demodulation,[status(thm)],[c_124365,c_48920,c_8149,c_108298]) ).
tcf(c_125947,plain,
join(one,composition(converse(join(one,composition(converse(sK0),sK0))),complement(complement(one)))) = one,
inference(superposition,[status(thm)],[c_124559,c_48906]) ).
tcf(c_125950,plain,
join(one,composition(converse(sK0),sK0)) = one,
inference(demodulation,[status(thm)],[c_125947,c_53,c_48913,c_105687,c_8149,c_108298,c_53066]) ).
tcf(c_125951,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_125950,c_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL042+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/6.00 % Computer : n002.cluster.edu
% 0.09/6.00 % Model : x86_64 x86_64
% 0.09/6.00 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/6.00 % Memory : 8046.5625MB
% 0.09/6.00 % OS : Linux 6.8.0-71-generic
% 0.09/6.00 % CPULimit : 300
% 0.09/6.00 % WCLimit : 300
% 0.09/6.00 % DateTime : Thu Sep 24 07:37:30 UTC 2026
% 0.09/6.01 % CPUTime :
% 0.09/6.01 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/6.04 Running first-order theorem proving
% 0.16/6.04 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/6.06
% 0.16/6.06 % ======== iProver multi-core TPTP/SMT =========
% 0.16/6.06
% 0.16/6.06 % Detected problem language: tptp
% 0.16/6.07 % Proving...
% 114.12/43.22 % SZS status Started for theBenchmark.p
% 114.12/43.22 % SZS status Theorem for theBenchmark.p
% 114.12/43.22
% 114.12/43.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 114.12/43.22
% 114.12/43.22 % ------ iProver source info
% 114.12/43.22
% 114.12/43.22 % git: date: 2026-07-19 20:42:38 +0200
% 114.12/43.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 114.12/43.22 % git: non_committed_changes: false
% 114.12/43.22
% 114.12/43.22 % ------ Parsing...
% 114.12/43.22 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 114.12/43.22
% 114.12/43.22 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 114.12/43.22
% 114.12/43.22 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 114.12/43.22
% 114.12/43.22 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 114.12/43.22 % ------ Proving...
% 114.12/43.22 % ------ Problem Properties
% 114.12/43.22
% 114.12/43.22 %
% 114.12/43.22 % clauses 14
% 114.12/43.22 % conjectures 2
% 114.12/43.22 % EPR 0
% 114.12/43.22 % Horn 14
% 114.12/43.22 % unary 14
% 114.12/43.22 % binary 0
% 114.12/43.22 % lits 14
% 114.12/43.22 % lits eq 14
% 114.12/43.22 % fd_pure 0
% 114.12/43.22 % fd_pseudo 0
% 114.12/43.22 % fd_cond 0
% 114.12/43.22 % fd_pseudo_cond 0
% 114.12/43.22 % AC symbols 1
% 114.12/43.22
% 114.12/43.22 % ------ Input Options Time Limit: Unbounded
% 114.12/43.22
% 114.12/43.22
% 114.12/43.22 % ------
% 114.12/43.22 % Current options:
% 114.12/43.22 % ------
% 114.12/43.22
% 114.12/43.22
% 114.12/43.22 %
% 114.12/43.22
% 114.12/43.22 % ------ Proving...
% 114.12/43.22 %
% 114.12/43.22
% 114.12/43.22 % SZS status Theorem for theBenchmark.p
% 114.12/43.22
% 114.12/43.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 114.12/43.23
% 114.12/43.23
%------------------------------------------------------------------------------