TSTP Solution File: REL007+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : REL007+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 : Thu Aug 31 13:40:37 EDT 2023
% Result : Theorem 67.69s 9.80s
% Output : CNFRefutation 67.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 11
% Syntax : Number of formulae : 147 ( 142 unt; 0 def)
% Number of atoms : 154 ( 153 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 199 ( 19 sgn; 37 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1] :
( zero = meet(X0,converse(X1))
=> zero = meet(converse(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( zero = meet(X0,converse(X1))
=> zero = meet(converse(X0),X1) ),
inference(negated_conjecture,[],[f14]) ).
fof(f16,plain,
? [X0,X1] :
( zero != meet(converse(X0),X1)
& zero = meet(X0,converse(X1)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ? [X0,X1] :
( zero != meet(converse(X0),X1)
& zero = meet(X0,converse(X1)) )
=> ( zero != meet(converse(sK0),sK1)
& zero = meet(sK0,converse(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( zero != meet(converse(sK0),sK1)
& zero = meet(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(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(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,
zero = meet(sK0,converse(sK1)),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
zero != meet(converse(sK0),sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f34,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f31,f22]) ).
fof(f35,plain,
zero != complement(join(complement(converse(sK0)),complement(sK1))),
inference(definition_unfolding,[],[f33,f22]) ).
fof(f36,plain,
zero = complement(join(complement(sK0),complement(converse(sK1)))),
inference(definition_unfolding,[],[f32,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_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_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,[],[f34]) ).
cnf(c_61,negated_conjecture,
complement(join(complement(converse(sK0)),complement(sK1))) != zero,
inference(cnf_transformation,[],[f35]) ).
cnf(c_62,negated_conjecture,
complement(join(complement(sK0),complement(converse(sK1)))) = zero,
inference(cnf_transformation,[],[f36]) ).
cnf(c_75,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_76,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_77,negated_conjecture,
complement(join(complement(sK1),complement(converse(sK0)))) != zero,
inference(theory_normalisation,[status(thm)],[c_61,c_50,c_49]) ).
cnf(c_108,plain,
complement(top) = zero,
inference(demodulation,[status(thm)],[c_60,c_59]) ).
cnf(c_1274,plain,
join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_1278,plain,
join(complement(X0),complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1))))))) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_75,c_75]) ).
cnf(c_1280,plain,
join(complement(complement(X0)),complement(join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0))))))) = X0,
inference(superposition,[status(thm)],[c_76,c_75]) ).
cnf(c_1287,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_108,c_59]) ).
cnf(c_1288,plain,
join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_59,c_75]) ).
cnf(c_1290,plain,
join(complement(join(complement(X0),complement(X0))),zero) = X0,
inference(demodulation,[status(thm)],[c_1288,c_108]) ).
cnf(c_1291,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_1290,c_50,c_49]) ).
cnf(c_1295,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X1),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_49,c_75]) ).
cnf(c_1296,plain,
join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[status(thm)],[c_49,c_75]) ).
cnf(c_1301,plain,
join(X0,join(X1,complement(X0))) = join(X1,top),
inference(superposition,[status(thm)],[c_59,c_1274]) ).
cnf(c_1305,plain,
join(complement(join(X0,join(complement(X1),X2))),complement(join(complement(X1),complement(join(X0,X2))))) = X1,
inference(superposition,[status(thm)],[c_1274,c_75]) ).
cnf(c_1313,plain,
join(complement(X0),complement(join(complement(complement(X0)),complement(complement(join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0)))))))))) = complement(X0),
inference(superposition,[status(thm)],[c_76,c_1278]) ).
cnf(c_1608,plain,
join(join(complement(X0),complement(X0)),X0) = join(zero,top),
inference(superposition,[status(thm)],[c_1291,c_1301]) ).
cnf(c_1610,plain,
join(join(complement(X0),complement(X1)),X1) = join(complement(join(complement(X1),X0)),top),
inference(superposition,[status(thm)],[c_1295,c_1301]) ).
cnf(c_1611,plain,
join(join(complement(X0),complement(X1)),X0) = join(complement(join(X1,complement(X0))),top),
inference(superposition,[status(thm)],[c_1296,c_1301]) ).
cnf(c_1622,plain,
join(X0,join(complement(X0),complement(X0))) = join(top,zero),
inference(theory_normalisation,[status(thm)],[c_1608,c_50,c_49]) ).
cnf(c_1623,plain,
join(complement(X0),top) = top,
inference(demodulation,[status(thm)],[c_1622,c_1287,c_1301]) ).
cnf(c_1624,plain,
join(top,complement(X0)) = top,
inference(theory_normalisation,[status(thm)],[c_1623,c_50,c_49]) ).
cnf(c_1632,plain,
join(X0,join(complement(X0),complement(X1))) = join(top,complement(join(X1,complement(X0)))),
inference(theory_normalisation,[status(thm)],[c_1611,c_50,c_49]) ).
cnf(c_1633,plain,
join(complement(X0),join(X1,complement(X1))) = join(top,complement(join(complement(X1),X0))),
inference(theory_normalisation,[status(thm)],[c_1610,c_50,c_49]) ).
cnf(c_1634,plain,
join(top,complement(join(complement(X0),X1))) = join(complement(X1),top),
inference(demodulation,[status(thm)],[c_1633,c_59]) ).
cnf(c_1635,plain,
join(top,complement(join(complement(X0),X1))) = join(top,complement(X1)),
inference(theory_normalisation,[status(thm)],[c_1634,c_50,c_49]) ).
cnf(c_1889,plain,
join(complement(join(complement(X0),join(complement(complement(X0)),complement(composition(converse(X1),complement(composition(X1,X0))))))),complement(X0)) = complement(X0),
inference(superposition,[status(thm)],[c_1280,c_1305]) ).
cnf(c_1995,plain,
join(zero,complement(X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_1889,c_108,c_1624,c_1632]) ).
cnf(c_2147,plain,
join(complement(join(complement(complement(X0)),join(complement(X0),complement(complement(join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0)))))))))),complement(complement(X0))) = X0,
inference(superposition,[status(thm)],[c_1313,c_1305]) ).
cnf(c_2151,plain,
join(complement(complement(X0)),complement(join(complement(X0),join(complement(complement(X0)),complement(complement(join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0))))))))))) = X0,
inference(theory_normalisation,[status(thm)],[c_2147,c_50,c_49]) ).
cnf(c_2152,plain,
join(complement(complement(X0)),zero) = X0,
inference(demodulation,[status(thm)],[c_2151,c_108,c_1624,c_1632,c_1635]) ).
cnf(c_2153,plain,
join(zero,complement(complement(X0))) = X0,
inference(theory_normalisation,[status(thm)],[c_2152,c_50,c_49]) ).
cnf(c_2154,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_2153,c_1995]) ).
cnf(c_40380,plain,
join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_40382,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_75,c_75]) ).
cnf(c_40385,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_40382,c_50,c_49]) ).
cnf(c_40394,plain,
join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(superposition,[status(thm)],[c_108,c_75]) ).
cnf(c_40395,plain,
join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_40394,c_50,c_49]) ).
cnf(c_40397,plain,
join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_55,c_76]) ).
cnf(c_40398,plain,
complement(zero) = top,
inference(superposition,[status(thm)],[c_108,c_2154]) ).
cnf(c_40400,plain,
join(complement(join(X0,X1)),complement(join(X0,complement(X1)))) = complement(X0),
inference(superposition,[status(thm)],[c_2154,c_75]) ).
cnf(c_40410,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_108,c_59]) ).
cnf(c_40421,plain,
join(X0,join(X1,complement(X0))) = join(X1,top),
inference(superposition,[status(thm)],[c_59,c_40380]) ).
cnf(c_40423,plain,
join(complement(X0),join(X1,composition(converse(X2),complement(composition(X2,X0))))) = join(X1,complement(X0)),
inference(superposition,[status(thm)],[c_76,c_40380]) ).
cnf(c_40429,plain,
join(complement(X0),complement(join(complement(X1),join(complement(X0),complement(join(complement(X0),X1)))))) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_40380,c_40385]) ).
cnf(c_40441,plain,
join(complement(X0),complement(join(complement(X0),join(complement(join(X1,X2)),complement(join(X1,join(complement(X0),X2))))))) = join(X1,join(complement(X0),X2)),
inference(superposition,[status(thm)],[c_40380,c_40385]) ).
cnf(c_40443,plain,
join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))) = join(X0,X1),
inference(superposition,[status(thm)],[c_2154,c_40385]) ).
cnf(c_40577,plain,
join(complement(join(X0,X1)),join(X2,complement(join(X0,complement(X1))))) = join(X2,complement(X0)),
inference(superposition,[status(thm)],[c_40400,c_40380]) ).
cnf(c_40622,plain,
join(complement(join(top,complement(X0))),top) = join(join(zero,complement(X0)),X0),
inference(superposition,[status(thm)],[c_40395,c_40421]) ).
cnf(c_40623,plain,
join(join(X0,complement(X1)),complement(X0)) = join(complement(join(X0,X1)),top),
inference(superposition,[status(thm)],[c_40400,c_40421]) ).
cnf(c_40633,plain,
join(X0,join(X1,join(X2,complement(X0)))) = join(X1,join(X2,top)),
inference(superposition,[status(thm)],[c_40421,c_40380]) ).
cnf(c_40637,plain,
join(X0,join(complement(X1),complement(X0))) = join(top,complement(join(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_40623,c_50,c_49]) ).
cnf(c_40638,plain,
join(top,complement(join(X0,X1))) = join(complement(X1),top),
inference(demodulation,[status(thm)],[c_40637,c_40421]) ).
cnf(c_40639,plain,
join(top,complement(join(X0,X1))) = join(top,complement(X1)),
inference(theory_normalisation,[status(thm)],[c_40638,c_50,c_49]) ).
cnf(c_40640,plain,
join(top,complement(join(top,complement(X0)))) = join(zero,join(X0,complement(X0))),
inference(theory_normalisation,[status(thm)],[c_40622,c_50,c_49]) ).
cnf(c_40641,plain,
join(top,complement(join(top,complement(X0)))) = join(zero,top),
inference(demodulation,[status(thm)],[c_40640,c_59]) ).
cnf(c_40642,plain,
join(top,complement(join(top,complement(X0)))) = join(top,zero),
inference(theory_normalisation,[status(thm)],[c_40641,c_50,c_49]) ).
cnf(c_40643,plain,
join(top,complement(join(top,complement(X0)))) = top,
inference(demodulation,[status(thm)],[c_40642,c_40410]) ).
cnf(c_40663,plain,
join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(join(X0,composition(converse(X2),complement(composition(X2,X1)))))))) = X1,
inference(superposition,[status(thm)],[c_40423,c_75]) ).
cnf(c_40680,plain,
join(complement(join(X0,X1)),complement(join(complement(X1),X0))) = complement(X0),
inference(superposition,[status(thm)],[c_49,c_40400]) ).
cnf(c_40788,plain,
join(top,complement(join(complement(X0),join(top,complement(join(top,X0)))))) = join(top,X0),
inference(superposition,[status(thm)],[c_40398,c_40429]) ).
cnf(c_40801,plain,
join(top,X0) = top,
inference(demodulation,[status(thm)],[c_40788,c_40643,c_40639]) ).
cnf(c_41004,plain,
join(top,complement(join(top,join(complement(join(X0,X1)),complement(join(X0,join(top,X1))))))) = join(X0,join(top,X1)),
inference(superposition,[status(thm)],[c_40398,c_40441]) ).
cnf(c_41019,plain,
join(X0,top) = top,
inference(demodulation,[status(thm)],[c_41004,c_40801,c_40639]) ).
cnf(c_41103,plain,
join(complement(X0),complement(join(complement(X0),join(complement(composition(X1,complement(composition(converse(X1),X0)))),complement(complement(X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_40397,c_40443]) ).
cnf(c_41147,plain,
join(complement(X0),zero) = complement(X0),
inference(demodulation,[status(thm)],[c_41103,c_108,c_40421,c_41019]) ).
cnf(c_41148,plain,
join(zero,complement(X0)) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_41147,c_50,c_49]) ).
cnf(c_41279,plain,
join(complement(top),complement(join(zero,complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_40801,c_40395]) ).
cnf(c_41290,plain,
join(zero,X0) = X0,
inference(demodulation,[status(thm)],[c_41279,c_108,c_41148,c_2154]) ).
cnf(c_41341,plain,
join(zero,complement(join(zero,join(complement(X0),complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_41290,c_40443]) ).
cnf(c_41371,plain,
complement(join(complement(X0),complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_41341,c_41290,c_41148]) ).
cnf(c_41565,plain,
complement(join(X0,X0)) = complement(X0),
inference(superposition,[status(thm)],[c_2154,c_41371]) ).
cnf(c_41651,plain,
join(X0,X0) = complement(complement(X0)),
inference(superposition,[status(thm)],[c_41565,c_2154]) ).
cnf(c_41672,plain,
join(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_41651,c_2154]) ).
cnf(c_41707,plain,
join(X0,join(join(X0,X1),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_41672,c_40380]) ).
cnf(c_41719,plain,
join(X0,join(X0,join(X1,X1))) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_41707,c_50,c_49]) ).
cnf(c_41720,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(demodulation,[status(thm)],[c_41719,c_41672]) ).
cnf(c_42288,plain,
join(X0,join(X1,join(X2,complement(X0)))) = top,
inference(demodulation,[status(thm)],[c_40633,c_41019]) ).
cnf(c_42314,plain,
join(X0,join(X1,complement(X0))) = top,
inference(superposition,[status(thm)],[c_41672,c_42288]) ).
cnf(c_43342,plain,
join(zero,complement(join(complement(complement(converse(sK1))),complement(sK0)))) = complement(complement(sK0)),
inference(superposition,[status(thm)],[c_62,c_40680]) ).
cnf(c_43515,plain,
complement(join(converse(sK1),complement(sK0))) = sK0,
inference(demodulation,[status(thm)],[c_43342,c_41148,c_2154]) ).
cnf(c_43886,plain,
join(converse(sK1),complement(sK0)) = complement(sK0),
inference(superposition,[status(thm)],[c_43515,c_2154]) ).
cnf(c_44158,plain,
join(complement(join(X0,complement(X1))),X1) = X1,
inference(superposition,[status(thm)],[c_40663,c_41720]) ).
cnf(c_44164,plain,
join(complement(join(X0,X1)),complement(X0)) = complement(X0),
inference(superposition,[status(thm)],[c_40400,c_41720]) ).
cnf(c_44219,plain,
join(X0,complement(join(X1,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_44158,c_50,c_49]) ).
cnf(c_44222,plain,
join(complement(X0),complement(join(X0,X1))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_44164,c_50,c_49]) ).
cnf(c_44317,plain,
join(complement(join(X0,X1)),X1) = join(X1,complement(X0)),
inference(superposition,[status(thm)],[c_44219,c_40577]) ).
cnf(c_44325,plain,
join(X0,complement(join(X1,X0))) = join(X0,complement(X1)),
inference(theory_normalisation,[status(thm)],[c_44317,c_50,c_49]) ).
cnf(c_44730,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_44731,plain,
converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_48444,plain,
join(X0,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_41019,c_44730]) ).
cnf(c_48458,plain,
join(sK1,converse(complement(sK0))) = converse(complement(sK0)),
inference(superposition,[status(thm)],[c_43886,c_44730]) ).
cnf(c_49239,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_48444,c_40801]) ).
cnf(c_49323,plain,
join(complement(sK1),complement(converse(complement(sK0)))) = complement(sK1),
inference(superposition,[status(thm)],[c_48458,c_44222]) ).
cnf(c_50724,plain,
join(converse(complement(sK0)),complement(sK1)) = top,
inference(superposition,[status(thm)],[c_49323,c_42314]) ).
cnf(c_50741,plain,
join(complement(sK1),converse(complement(sK0))) = top,
inference(theory_normalisation,[status(thm)],[c_50724,c_50,c_49]) ).
cnf(c_53020,plain,
join(converse(complement(sK1)),complement(sK0)) = converse(top),
inference(superposition,[status(thm)],[c_50741,c_44731]) ).
cnf(c_53082,plain,
join(converse(complement(sK1)),complement(sK0)) = top,
inference(demodulation,[status(thm)],[c_53020,c_49239]) ).
cnf(c_53083,plain,
join(complement(sK0),converse(complement(sK1))) = top,
inference(theory_normalisation,[status(thm)],[c_53082,c_50,c_49]) ).
cnf(c_53174,plain,
join(complement(top),complement(join(complement(sK0),complement(converse(complement(sK1)))))) = sK0,
inference(superposition,[status(thm)],[c_53083,c_75]) ).
cnf(c_53193,plain,
complement(join(complement(sK0),complement(converse(complement(sK1))))) = sK0,
inference(demodulation,[status(thm)],[c_53174,c_108,c_41148]) ).
cnf(c_53373,plain,
join(converse(complement(sK1)),sK0) = converse(complement(sK1)),
inference(superposition,[status(thm)],[c_53193,c_44219]) ).
cnf(c_53399,plain,
join(sK0,converse(complement(sK1))) = converse(complement(sK1)),
inference(theory_normalisation,[status(thm)],[c_53373,c_50,c_49]) ).
cnf(c_60880,plain,
join(converse(sK0),complement(sK1)) = converse(converse(complement(sK1))),
inference(superposition,[status(thm)],[c_53399,c_44731]) ).
cnf(c_60882,plain,
join(converse(sK0),complement(sK1)) = complement(sK1),
inference(demodulation,[status(thm)],[c_60880,c_55]) ).
cnf(c_86679,plain,
join(complement(sK1),complement(complement(sK1))) = join(complement(sK1),complement(converse(sK0))),
inference(superposition,[status(thm)],[c_60882,c_44325]) ).
cnf(c_86855,plain,
join(complement(sK1),complement(converse(sK0))) = top,
inference(demodulation,[status(thm)],[c_86679,c_59]) ).
cnf(c_87455,plain,
complement(top) != zero,
inference(superposition,[status(thm)],[c_86855,c_77]) ).
cnf(c_87511,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_87455,c_108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : REL007+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 22:07:22 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 67.69/9.80 % SZS status Started for theBenchmark.p
% 67.69/9.80 % SZS status Theorem for theBenchmark.p
% 67.69/9.80
% 67.69/9.80 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 67.69/9.80
% 67.69/9.80 ------ iProver source info
% 67.69/9.80
% 67.69/9.80 git: date: 2023-05-31 18:12:56 +0000
% 67.69/9.80 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 67.69/9.80 git: non_committed_changes: false
% 67.69/9.80 git: last_make_outside_of_git: false
% 67.69/9.80
% 67.69/9.80 ------ Parsing...
% 67.69/9.80 ------ Clausification by vclausify_rel & Parsing by iProver...
% 67.69/9.80
% 67.69/9.80 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 67.69/9.80
% 67.69/9.80 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 67.69/9.80
% 67.69/9.80 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 67.69/9.80 ------ Proving...
% 67.69/9.80 ------ Problem Properties
% 67.69/9.80
% 67.69/9.80
% 67.69/9.80 clauses 14
% 67.69/9.80 conjectures 2
% 67.69/9.80 EPR 0
% 67.69/9.80 Horn 14
% 67.69/9.80 unary 14
% 67.69/9.80 binary 0
% 67.69/9.80 lits 14
% 67.69/9.80 lits eq 14
% 67.69/9.80 fd_pure 0
% 67.69/9.80 fd_pseudo 0
% 67.69/9.80 fd_cond 0
% 67.69/9.80 fd_pseudo_cond 0
% 67.69/9.80 AC symbols 1
% 67.69/9.80
% 67.69/9.80 ------ Input Options Time Limit: Unbounded
% 67.69/9.80
% 67.69/9.80
% 67.69/9.80 ------
% 67.69/9.80 Current options:
% 67.69/9.80 ------
% 67.69/9.80
% 67.69/9.80
% 67.69/9.80
% 67.69/9.80
% 67.69/9.80 ------ Proving...
% 67.69/9.80
% 67.69/9.80
% 67.69/9.80 % SZS status Theorem for theBenchmark.p
% 67.69/9.80
% 67.69/9.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 67.69/9.80
% 67.69/9.80
%------------------------------------------------------------------------------