TSTP Solution File: REL005+2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : REL005+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:56:32 EDT 2024
% Result : Theorem 279.54s 37.33s
% Output : CNFRefutation 279.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 14
% Syntax : Number of formulae : 145 ( 135 unt; 0 def)
% Number of atoms : 157 ( 156 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 21 ~; 9 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 216 ( 7 sgn 49 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,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(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1] :
( converse(meet(X0,X1)) = join(meet(converse(X0),converse(X1)),converse(meet(X0,X1)))
& meet(converse(X0),converse(X1)) = join(converse(meet(X0,X1)),meet(converse(X0),converse(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( converse(meet(X0,X1)) = join(meet(converse(X0),converse(X1)),converse(meet(X0,X1)))
& meet(converse(X0),converse(X1)) = join(converse(meet(X0,X1)),meet(converse(X0),converse(X1))) ),
inference(negated_conjecture,[],[f14]) ).
fof(f16,plain,
? [X0,X1] :
( converse(meet(X0,X1)) != join(meet(converse(X0),converse(X1)),converse(meet(X0,X1)))
| meet(converse(X0),converse(X1)) != join(converse(meet(X0,X1)),meet(converse(X0),converse(X1))) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ? [X0,X1] :
( converse(meet(X0,X1)) != join(meet(converse(X0),converse(X1)),converse(meet(X0,X1)))
| meet(converse(X0),converse(X1)) != join(converse(meet(X0,X1)),meet(converse(X0),converse(X1))) )
=> ( converse(meet(sK0,sK1)) != join(meet(converse(sK0),converse(sK1)),converse(meet(sK0,sK1)))
| meet(converse(sK0),converse(sK1)) != join(converse(meet(sK0,sK1)),meet(converse(sK0),converse(sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( converse(meet(sK0,sK1)) != join(meet(converse(sK0),converse(sK1)),converse(meet(sK0,sK1)))
| meet(converse(sK0),converse(sK1)) != join(converse(meet(sK0,sK1)),meet(converse(sK0),converse(sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).
fof(f19,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f24,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f26,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f29,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f31,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f32,plain,
( converse(meet(sK0,sK1)) != join(meet(converse(sK0),converse(sK1)),converse(meet(sK0,sK1)))
| meet(converse(sK0),converse(sK1)) != join(converse(meet(sK0,sK1)),meet(converse(sK0),converse(sK1))) ),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f31,f22]) ).
fof(f34,plain,
( converse(complement(join(complement(sK0),complement(sK1)))) != join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),converse(complement(join(complement(sK0),complement(sK1)))))
| complement(join(complement(converse(sK0)),complement(converse(sK1)))) != join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) ),
inference(definition_unfolding,[],[f32,f22,f22,f22,f22,f22,f22]) ).
cnf(c_49,plain,
join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f19]) ).
cnf(c_50,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f20]) ).
cnf(c_51,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f21]) ).
cnf(c_52,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f23]) ).
cnf(c_53,plain,
composition(X0,one) = X0,
inference(cnf_transformation,[],[f24]) ).
cnf(c_55,plain,
converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f26]) ).
cnf(c_56,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f27]) ).
cnf(c_57,plain,
composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f28]) ).
cnf(c_58,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f29]) ).
cnf(c_59,plain,
join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f30]) ).
cnf(c_60,plain,
complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f33]) ).
cnf(c_61,negated_conjecture,
( join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),converse(complement(join(complement(sK0),complement(sK1))))) != converse(complement(join(complement(sK0),complement(sK1))))
| join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) != complement(join(complement(converse(sK0)),complement(converse(sK1)))) ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_74,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_51,c_50,c_49]) ).
cnf(c_75,plain,
join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_58,c_50,c_49]) ).
cnf(c_76,negated_conjecture,
( join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) != complement(join(complement(converse(sK0)),complement(converse(sK1))))
| join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) != converse(complement(join(complement(sK0),complement(sK1)))) ),
inference(theory_normalisation,[status(thm)],[c_61,c_50,c_49]) ).
cnf(c_107,plain,
complement(top) = zero,
inference(demodulation,[status(thm)],[c_60,c_59]) ).
cnf(c_207,plain,
join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_74,c_74]) ).
cnf(c_213,plain,
join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))) = join(complement(X0),X1),
inference(theory_normalisation,[status(thm)],[c_207,c_50,c_49]) ).
cnf(c_289,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_373,plain,
join(converse(X0),join(X1,converse(X2))) = converse(join(X0,join(converse(X1),X2))),
inference(superposition,[status(thm)],[c_289,c_56]) ).
cnf(c_998,plain,
converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_1089,plain,
converse(join(converse(X0),X1)) = join(converse(X1),X0),
inference(superposition,[status(thm)],[c_49,c_998]) ).
cnf(c_17707,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_17710,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_17715,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_17909,plain,
join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_59,c_17710]) ).
cnf(c_18035,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_53,c_17715]) ).
cnf(c_18057,plain,
composition(converse(one),X0) = X0,
inference(demodulation,[status(thm)],[c_18035,c_55]) ).
cnf(c_18070,plain,
join(complement(X0),composition(converse(converse(one)),complement(X0))) = complement(X0),
inference(superposition,[status(thm)],[c_18057,c_75]) ).
cnf(c_18074,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_18057,c_17707]) ).
cnf(c_18076,plain,
composition(one,X0) = X0,
inference(demodulation,[status(thm)],[c_18074,c_18057]) ).
cnf(c_18078,plain,
join(complement(X0),composition(one,complement(X0))) = complement(X0),
inference(demodulation,[status(thm)],[c_18070,c_55]) ).
cnf(c_18131,plain,
join(complement(X0),complement(X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_18078,c_18076]) ).
cnf(c_18138,plain,
join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[status(thm)],[c_18131,c_17710]) ).
cnf(c_18141,plain,
join(top,complement(X0)) = top,
inference(demodulation,[status(thm)],[c_18138,c_59]) ).
cnf(c_18148,plain,
join(X0,top) = top,
inference(demodulation,[status(thm)],[c_17909,c_18141]) ).
cnf(c_18239,plain,
join(converse(top),X0) = converse(top),
inference(superposition,[status(thm)],[c_18148,c_1089]) ).
cnf(c_62231,plain,
join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_59,c_74]) ).
cnf(c_62237,plain,
join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_62231,c_50,c_49]) ).
cnf(c_62238,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(demodulation,[status(thm)],[c_62237,c_107]) ).
cnf(c_62247,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_62268,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_18239,c_59]) ).
cnf(c_62269,plain,
join(top,X0) = top,
inference(demodulation,[status(thm)],[c_18239,c_62268]) ).
cnf(c_62305,plain,
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_75,c_213]) ).
cnf(c_62318,plain,
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_62305,c_50,c_49]) ).
cnf(c_62319,plain,
join(complement(X0),zero) = complement(X0),
inference(demodulation,[status(thm)],[c_62318,c_107,c_62247,c_62269]) ).
cnf(c_62397,plain,
join(zero,complement(X0)) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_62319,c_50,c_49]) ).
cnf(c_62401,plain,
complement(zero) = top,
inference(superposition,[status(thm)],[c_62397,c_59]) ).
cnf(c_62408,plain,
join(complement(join(complement(X0),zero)),complement(join(complement(X0),top))) = X0,
inference(superposition,[status(thm)],[c_62401,c_74]) ).
cnf(c_62411,plain,
join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_62408,c_50,c_49]) ).
cnf(c_62412,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_62411,c_107,c_62269,c_62397]) ).
cnf(c_62417,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_62412,c_62397]) ).
cnf(c_63512,plain,
complement(join(complement(X0),complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_62238,c_62417]) ).
cnf(c_63521,plain,
join(complement(X0),complement(X0)) = complement(join(X0,X0)),
inference(superposition,[status(thm)],[c_63512,c_63512]) ).
cnf(c_219342,plain,
join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_59,c_74]) ).
cnf(c_219348,plain,
join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_219342,c_50,c_49]) ).
cnf(c_219349,plain,
join(zero,complement(complement(join(X0,X0)))) = X0,
inference(demodulation,[status(thm)],[c_219348,c_107,c_63521]) ).
cnf(c_219358,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_219379,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_18239,c_59]) ).
cnf(c_219380,plain,
join(top,X0) = top,
inference(demodulation,[status(thm)],[c_18239,c_219379]) ).
cnf(c_219416,plain,
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_75,c_213]) ).
cnf(c_219429,plain,
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_219416,c_50,c_49]) ).
cnf(c_219430,plain,
join(complement(X0),zero) = complement(X0),
inference(demodulation,[status(thm)],[c_219429,c_107,c_219358,c_219380]) ).
cnf(c_219452,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_219456,plain,
join(converse(X0),join(converse(X1),X2)) = join(converse(join(X0,X1)),X2),
inference(superposition,[status(thm)],[c_56,c_50]) ).
cnf(c_219457,plain,
join(converse(X0),converse(X1)) = converse(join(X1,X0)),
inference(superposition,[status(thm)],[c_56,c_49]) ).
cnf(c_219487,plain,
join(zero,complement(X0)) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_219430,c_50,c_49]) ).
cnf(c_219488,plain,
complement(complement(join(X0,X0))) = X0,
inference(demodulation,[status(thm)],[c_219349,c_219487]) ).
cnf(c_219492,plain,
complement(zero) = top,
inference(superposition,[status(thm)],[c_219487,c_59]) ).
cnf(c_219499,plain,
join(complement(join(complement(X0),zero)),complement(join(complement(X0),top))) = X0,
inference(superposition,[status(thm)],[c_219492,c_74]) ).
cnf(c_219502,plain,
join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_219499,c_50,c_49]) ).
cnf(c_219503,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_219502,c_107,c_219380,c_219487]) ).
cnf(c_219508,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_219503,c_219487]) ).
cnf(c_219511,plain,
join(complement(join(X0,X1)),complement(join(X0,complement(X1)))) = complement(X0),
inference(superposition,[status(thm)],[c_219503,c_74]) ).
cnf(c_219534,plain,
join(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_219488,c_219503]) ).
cnf(c_219538,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_219534,c_50]) ).
cnf(c_219539,plain,
join(X0,join(X1,join(X0,X1))) = join(X0,X1),
inference(superposition,[status(thm)],[c_219534,c_50]) ).
cnf(c_219551,plain,
join(converse(X0),join(X1,converse(X2))) = converse(join(join(converse(X1),X2),X0)),
inference(superposition,[status(thm)],[c_49,c_373]) ).
cnf(c_219564,plain,
join(converse(X0),join(converse(X1),converse(X2))) = converse(join(X0,join(X1,X2))),
inference(superposition,[status(thm)],[c_55,c_373]) ).
cnf(c_219580,plain,
converse(join(X0,join(X1,X2))) = converse(join(X1,join(X2,X0))),
inference(demodulation,[status(thm)],[c_219564,c_219457,c_219456]) ).
cnf(c_219581,plain,
join(converse(X0),join(X1,converse(X2))) = converse(join(converse(X1),join(X2,X0))),
inference(theory_normalisation,[status(thm)],[c_219551,c_50,c_49]) ).
cnf(c_219582,plain,
join(converse(X0),join(X1,converse(X2))) = join(X1,converse(join(X2,X0))),
inference(demodulation,[status(thm)],[c_219581,c_219452]) ).
cnf(c_219590,plain,
converse(join(X0,join(converse(X1),X2))) = join(X1,converse(join(X2,X0))),
inference(demodulation,[status(thm)],[c_373,c_219582]) ).
cnf(c_219591,plain,
join(complement(join(X0,X1)),complement(join(X1,complement(X0)))) = complement(X1),
inference(superposition,[status(thm)],[c_49,c_219511]) ).
cnf(c_219737,plain,
join(converse(complement(converse(X0))),X0) = converse(top),
inference(superposition,[status(thm)],[c_59,c_1089]) ).
cnf(c_219761,plain,
join(X0,converse(complement(converse(X0)))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_219737,c_50,c_49]) ).
cnf(c_219762,plain,
join(X0,converse(complement(converse(X0)))) = top,
inference(demodulation,[status(thm)],[c_219761,c_219379]) ).
cnf(c_219916,plain,
join(complement(top),complement(join(X0,complement(converse(complement(converse(X0))))))) = complement(X0),
inference(superposition,[status(thm)],[c_219762,c_219511]) ).
cnf(c_219931,plain,
complement(join(X0,complement(converse(complement(converse(X0)))))) = complement(X0),
inference(demodulation,[status(thm)],[c_219916,c_107,c_219508]) ).
cnf(c_222700,plain,
join(converse(X0),join(converse(X1),X2)) = join(converse(join(X1,X0)),X2),
inference(superposition,[status(thm)],[c_219457,c_50]) ).
cnf(c_222800,plain,
join(converse(join(X0,X1)),converse(X2)) = join(converse(X1),converse(join(X0,X2))),
inference(superposition,[status(thm)],[c_56,c_222700]) ).
cnf(c_222914,plain,
converse(join(join(X0,X1),X2)) = converse(join(X1,join(X0,X2))),
inference(demodulation,[status(thm)],[c_222800,c_219457]) ).
cnf(c_223054,plain,
join(complement(join(X0,X1)),complement(X1)) = complement(X1),
inference(superposition,[status(thm)],[c_219591,c_219538]) ).
cnf(c_223072,plain,
join(complement(X0),complement(join(X1,X0))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_223054,c_50,c_49]) ).
cnf(c_226622,plain,
join(converse(X0),converse(join(X1,X2))) = converse(join(X2,join(X0,X1))),
inference(superposition,[status(thm)],[c_55,c_219590]) ).
cnf(c_226700,plain,
converse(join(X0,join(X1,X2))) = converse(join(X0,join(X2,X1))),
inference(demodulation,[status(thm)],[c_226622,c_219457,c_222914]) ).
cnf(c_249237,plain,
join(X0,complement(converse(complement(converse(X0))))) = complement(complement(X0)),
inference(superposition,[status(thm)],[c_219931,c_219503]) ).
cnf(c_249261,plain,
join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(demodulation,[status(thm)],[c_249237,c_219503]) ).
cnf(c_249398,plain,
join(converse(complement(converse(complement(converse(converse(X0)))))),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_249261,c_1089]) ).
cnf(c_249470,plain,
join(X0,converse(complement(converse(complement(converse(converse(X0))))))) = converse(converse(X0)),
inference(theory_normalisation,[status(thm)],[c_249398,c_50,c_49]) ).
cnf(c_249471,plain,
join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(demodulation,[status(thm)],[c_249470,c_55]) ).
cnf(c_249560,plain,
join(complement(converse(complement(converse(complement(X0))))),complement(X0)) = complement(converse(complement(converse(complement(X0))))),
inference(superposition,[status(thm)],[c_249471,c_223072]) ).
cnf(c_249667,plain,
join(complement(X0),complement(converse(complement(converse(complement(X0)))))) = complement(converse(complement(converse(complement(X0))))),
inference(theory_normalisation,[status(thm)],[c_249560,c_50,c_49]) ).
cnf(c_249668,plain,
complement(converse(complement(converse(complement(X0))))) = complement(X0),
inference(demodulation,[status(thm)],[c_249667,c_249261]) ).
cnf(c_249697,plain,
complement(converse(complement(converse(X0)))) = X0,
inference(superposition,[status(thm)],[c_219503,c_249668]) ).
cnf(c_249791,plain,
complement(converse(complement(X0))) = converse(X0),
inference(superposition,[status(thm)],[c_55,c_249697]) ).
cnf(c_250015,plain,
complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[status(thm)],[c_249791,c_219503]) ).
cnf(c_250064,plain,
( join(complement(converse(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) != complement(join(complement(converse(sK0)),complement(converse(sK1))))
| join(complement(converse(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) != complement(converse(join(complement(sK0),complement(sK1)))) ),
inference(demodulation,[status(thm)],[c_76,c_250015]) ).
cnf(c_251095,plain,
join(complement(converse(X0)),converse(X1)) = converse(join(complement(X0),X1)),
inference(superposition,[status(thm)],[c_250015,c_56]) ).
cnf(c_251512,plain,
join(complement(converse(X0)),complement(converse(X1))) = converse(join(complement(X0),complement(X1))),
inference(superposition,[status(thm)],[c_250015,c_251095]) ).
cnf(c_251622,plain,
join(complement(converse(join(complement(sK0),complement(sK1)))),complement(converse(join(complement(sK0),complement(sK1))))) != complement(converse(join(complement(sK0),complement(sK1)))),
inference(demodulation,[status(thm)],[c_250064,c_251512]) ).
cnf(c_251623,plain,
complement(converse(join(complement(sK0),complement(sK1)))) != complement(converse(join(complement(sK0),complement(sK1)))),
inference(demodulation,[status(thm)],[c_251622,c_219457,c_219580,c_219539,c_226700,c_222914,c_63521]) ).
cnf(c_251624,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_251623]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL005+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 19:51:31 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 279.54/37.33 % SZS status Started for theBenchmark.p
% 279.54/37.33 % SZS status Theorem for theBenchmark.p
% 279.54/37.33
% 279.54/37.33 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 279.54/37.33
% 279.54/37.33 ------ iProver source info
% 279.54/37.33
% 279.54/37.33 git: date: 2024-05-02 19:28:25 +0000
% 279.54/37.33 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 279.54/37.33 git: non_committed_changes: false
% 279.54/37.33
% 279.54/37.33 ------ Parsing...
% 279.54/37.33 ------ Clausification by vclausify_rel & Parsing by iProver...
% 279.54/37.33
% 279.54/37.33 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 279.54/37.33
% 279.54/37.33 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 279.54/37.33
% 279.54/37.33 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 279.54/37.33 ------ Proving...
% 279.54/37.33 ------ Problem Properties
% 279.54/37.33
% 279.54/37.33
% 279.54/37.33 clauses 13
% 279.54/37.33 conjectures 1
% 279.54/37.33 EPR 0
% 279.54/37.33 Horn 13
% 279.54/37.33 unary 12
% 279.54/37.33 binary 1
% 279.54/37.33 lits 14
% 279.54/37.33 lits eq 14
% 279.54/37.33 fd_pure 0
% 279.54/37.33 fd_pseudo 0
% 279.54/37.33 fd_cond 0
% 279.54/37.33 fd_pseudo_cond 0
% 279.54/37.33 AC symbols 1
% 279.54/37.33
% 279.54/37.33 ------ Input Options Time Limit: Unbounded
% 279.54/37.33
% 279.54/37.33
% 279.54/37.33 ------
% 279.54/37.33 Current options:
% 279.54/37.33 ------
% 279.54/37.33
% 279.54/37.33
% 279.54/37.33
% 279.54/37.33
% 279.54/37.33 ------ Proving...
% 279.54/37.33
% 279.54/37.33
% 279.54/37.33 % SZS status Theorem for theBenchmark.p
% 279.54/37.33
% 279.54/37.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 279.54/37.33
% 279.54/37.34
%------------------------------------------------------------------------------