TSTP Solution File: REL006+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : REL006+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 02:56:33 EDT 2024
% Result : Theorem 38.57s 6.22s
% Output : CNFRefutation 39.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 11
% Syntax : Number of formulae : 216 ( 211 unt; 0 def)
% Number of atoms : 223 ( 222 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 14 ( 3 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 : 269 ( 18 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(converse(X0),X1)
=> zero = meet(X0,converse(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( zero = meet(converse(X0),X1)
=> zero = meet(X0,converse(X1)) ),
inference(negated_conjecture,[],[f14]) ).
fof(f16,plain,
? [X0,X1] :
( zero != meet(X0,converse(X1))
& zero = meet(converse(X0),X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ? [X0,X1] :
( zero != meet(X0,converse(X1))
& zero = meet(converse(X0),X1) )
=> ( zero != meet(sK0,converse(sK1))
& zero = meet(converse(sK0),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( zero != meet(sK0,converse(sK1))
& zero = meet(converse(sK0),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(converse(sK0),sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
zero != meet(sK0,converse(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(sK0),complement(converse(sK1)))),
inference(definition_unfolding,[],[f33,f22]) ).
fof(f36,plain,
zero = complement(join(complement(converse(sK0)),complement(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(sK0),complement(converse(sK1)))) != zero,
inference(cnf_transformation,[],[f35]) ).
cnf(c_62,negated_conjecture,
complement(join(complement(converse(sK0)),complement(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_62,c_50,c_49]) ).
cnf(c_108,plain,
complement(top) = zero,
inference(demodulation,[status(thm)],[c_60,c_59]) ).
cnf(c_1257,plain,
join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_1259,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_1261,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_1262,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_1259,c_50,c_49]) ).
cnf(c_1263,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_1266,plain,
join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(superposition,[status(thm)],[c_108,c_75]) ).
cnf(c_1267,plain,
join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_1266,c_50,c_49]) ).
cnf(c_1270,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_108,c_59]) ).
cnf(c_1271,plain,
join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_59,c_75]) ).
cnf(c_1272,plain,
join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[status(thm)],[c_59,c_75]) ).
cnf(c_1273,plain,
join(complement(join(complement(X0),complement(X0))),zero) = X0,
inference(demodulation,[status(thm)],[c_1271,c_108]) ).
cnf(c_1274,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_1273,c_50,c_49]) ).
cnf(c_1275,plain,
join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(demodulation,[status(thm)],[c_1272,c_108]) ).
cnf(c_1278,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X1),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_49,c_75]) ).
cnf(c_1279,plain,
join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[status(thm)],[c_49,c_75]) ).
cnf(c_1280,plain,
join(join(complement(sK1),complement(converse(sK0))),zero) = top,
inference(superposition,[status(thm)],[c_77,c_59]) ).
cnf(c_1284,plain,
join(complement(join(complement(sK1),converse(sK0))),zero) = sK1,
inference(superposition,[status(thm)],[c_77,c_75]) ).
cnf(c_1286,plain,
join(zero,complement(join(complement(sK1),converse(sK0)))) = sK1,
inference(theory_normalisation,[status(thm)],[c_1284,c_50,c_49]) ).
cnf(c_1287,plain,
join(zero,join(complement(sK1),complement(converse(sK0)))) = top,
inference(theory_normalisation,[status(thm)],[c_1280,c_50,c_49]) ).
cnf(c_1294,plain,
join(X0,join(X1,complement(X0))) = join(X1,top),
inference(superposition,[status(thm)],[c_59,c_1257]) ).
cnf(c_1295,plain,
join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))) = join(X2,X0),
inference(superposition,[status(thm)],[c_75,c_1257]) ).
cnf(c_1297,plain,
join(top,join(X0,zero)) = join(X0,top),
inference(superposition,[status(thm)],[c_1270,c_1257]) ).
cnf(c_1298,plain,
join(complement(join(X0,join(complement(X1),X2))),complement(join(complement(X1),complement(join(X0,X2))))) = X1,
inference(superposition,[status(thm)],[c_1257,c_75]) ).
cnf(c_1303,plain,
join(complement(X0),complement(join(complement(join(X1,complement(X0))),complement(complement(join(complement(X0),complement(X1))))))) = join(X1,complement(X0)),
inference(superposition,[status(thm)],[c_49,c_1261]) ).
cnf(c_1308,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_1261]) ).
cnf(c_1313,plain,
join(complement(sK1),complement(join(complement(join(complement(sK1),converse(sK0))),complement(zero)))) = join(complement(sK1),converse(sK0)),
inference(superposition,[status(thm)],[c_77,c_1261]) ).
cnf(c_1316,plain,
join(complement(X0),complement(join(complement(join(complement(X0),complement(X0))),complement(complement(top))))) = join(complement(X0),complement(X0)),
inference(superposition,[status(thm)],[c_59,c_1261]) ).
cnf(c_1319,plain,
join(zero,complement(join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0))))))) = join(zero,X0),
inference(superposition,[status(thm)],[c_77,c_1261]) ).
cnf(c_1326,plain,
join(complement(X0),complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1))))))))))))) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_1261,c_1261]) ).
cnf(c_1330,plain,
join(complement(sK1),complement(join(complement(zero),complement(join(complement(sK1),converse(sK0)))))) = join(complement(sK1),converse(sK0)),
inference(theory_normalisation,[status(thm)],[c_1313,c_50,c_49]) ).
cnf(c_1331,plain,
join(complement(X0),complement(join(complement(join(complement(X0),complement(X0))),complement(zero)))) = join(complement(X0),complement(X0)),
inference(demodulation,[status(thm)],[c_1316,c_108]) ).
cnf(c_1332,plain,
join(complement(X0),complement(join(complement(zero),complement(join(complement(X0),complement(X0)))))) = join(complement(X0),complement(X0)),
inference(theory_normalisation,[status(thm)],[c_1331,c_50,c_49]) ).
cnf(c_1343,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_1257,c_1262]) ).
cnf(c_1362,plain,
join(complement(X0),complement(join(complement(join(complement(X0),join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))),complement(complement(join(complement(X0),X1)))))) = join(complement(X0),join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))),
inference(superposition,[status(thm)],[c_1262,c_1261]) ).
cnf(c_1366,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))))))) = X0,
inference(superposition,[status(thm)],[c_1262,c_75]) ).
cnf(c_1367,plain,
join(complement(X0),join(X1,complement(join(complement(X0),join(complement(X2),complement(join(complement(X0),X2))))))) = join(X1,join(complement(X0),X2)),
inference(superposition,[status(thm)],[c_1262,c_1257]) ).
cnf(c_1382,plain,
join(complement(X0),complement(join(complement(complement(join(complement(X0),X1))),complement(join(complement(X0),join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))))))) = join(complement(X0),join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))),
inference(theory_normalisation,[status(thm)],[c_1362,c_50,c_49]) ).
cnf(c_1436,plain,
join(complement(join(top,complement(zero))),complement(top)) = zero,
inference(superposition,[status(thm)],[c_59,c_1267]) ).
cnf(c_1446,plain,
join(complement(join(top,complement(zero))),zero) = zero,
inference(demodulation,[status(thm)],[c_1436,c_108]) ).
cnf(c_1447,plain,
join(zero,complement(join(top,complement(zero)))) = zero,
inference(theory_normalisation,[status(thm)],[c_1446,c_50,c_49]) ).
cnf(c_1496,plain,
join(complement(join(X0,complement(X1))),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[status(thm)],[c_49,c_1278]) ).
cnf(c_1502,plain,
join(complement(join(X0,join(complement(X1),X2))),complement(join(complement(join(X0,X2)),complement(X1)))) = X1,
inference(superposition,[status(thm)],[c_1257,c_1278]) ).
cnf(c_1516,plain,
join(complement(join(complement(complement(X0)),X0)),complement(top)) = complement(X0),
inference(superposition,[status(thm)],[c_59,c_1278]) ).
cnf(c_1539,plain,
join(complement(join(complement(complement(X0)),X0)),zero) = complement(X0),
inference(demodulation,[status(thm)],[c_1516,c_108]) ).
cnf(c_1540,plain,
join(zero,complement(join(X0,complement(complement(X0))))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_1539,c_50,c_49]) ).
cnf(c_1711,plain,
join(top,join(zero,X0)) = join(X0,top),
inference(superposition,[status(thm)],[c_49,c_1297]) ).
cnf(c_1730,plain,
join(complement(zero),top) = join(top,top),
inference(superposition,[status(thm)],[c_59,c_1711]) ).
cnf(c_1733,plain,
join(complement(join(complement(X0),complement(X0))),top) = join(top,X0),
inference(superposition,[status(thm)],[c_1274,c_1711]) ).
cnf(c_1736,plain,
join(complement(join(complement(sK1),converse(sK0))),top) = join(top,sK1),
inference(superposition,[status(thm)],[c_1286,c_1711]) ).
cnf(c_1741,plain,
join(top,complement(zero)) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_1730,c_50,c_49]) ).
cnf(c_1745,plain,
join(top,complement(join(complement(sK1),converse(sK0)))) = join(top,sK1),
inference(theory_normalisation,[status(thm)],[c_1736,c_50,c_49]) ).
cnf(c_1746,plain,
join(top,complement(join(complement(X0),complement(X0)))) = join(top,X0),
inference(theory_normalisation,[status(thm)],[c_1733,c_50,c_49]) ).
cnf(c_1771,plain,
join(X0,join(complement(X0),X1)) = join(X1,top),
inference(superposition,[status(thm)],[c_49,c_1294]) ).
cnf(c_1780,plain,
join(join(complement(X0),complement(X0)),X0) = join(zero,top),
inference(superposition,[status(thm)],[c_1274,c_1294]) ).
cnf(c_1782,plain,
join(join(complement(X0),complement(X1)),X1) = join(complement(join(complement(X1),X0)),top),
inference(superposition,[status(thm)],[c_1278,c_1294]) ).
cnf(c_1783,plain,
join(join(complement(X0),complement(X1)),X0) = join(complement(join(X1,complement(X0))),top),
inference(superposition,[status(thm)],[c_1279,c_1294]) ).
cnf(c_1788,plain,
join(join(top,complement(zero)),zero) = join(zero,top),
inference(superposition,[status(thm)],[c_1447,c_1294]) ).
cnf(c_1807,plain,
join(join(top,top),zero) = join(zero,top),
inference(demodulation,[status(thm)],[c_1788,c_1741]) ).
cnf(c_1808,plain,
join(top,join(top,zero)) = join(top,zero),
inference(theory_normalisation,[status(thm)],[c_1807,c_50,c_49]) ).
cnf(c_1809,plain,
join(top,top) = top,
inference(demodulation,[status(thm)],[c_1808,c_1270,c_1297]) ).
cnf(c_1812,plain,
join(X0,join(complement(X0),complement(X0))) = join(top,zero),
inference(theory_normalisation,[status(thm)],[c_1780,c_50,c_49]) ).
cnf(c_1813,plain,
join(complement(X0),top) = top,
inference(demodulation,[status(thm)],[c_1812,c_1270,c_1294]) ).
cnf(c_1814,plain,
join(top,complement(X0)) = top,
inference(theory_normalisation,[status(thm)],[c_1813,c_50,c_49]) ).
cnf(c_1828,plain,
join(X0,join(complement(X0),complement(X1))) = join(top,complement(join(X1,complement(X0)))),
inference(theory_normalisation,[status(thm)],[c_1783,c_50,c_49]) ).
cnf(c_1829,plain,
join(complement(X0),join(X1,complement(X1))) = join(top,complement(join(complement(X1),X0))),
inference(theory_normalisation,[status(thm)],[c_1782,c_50,c_49]) ).
cnf(c_1830,plain,
join(top,complement(join(complement(X0),X1))) = join(complement(X1),top),
inference(demodulation,[status(thm)],[c_1829,c_59]) ).
cnf(c_1831,plain,
join(top,complement(join(complement(X0),X1))) = join(top,complement(X1)),
inference(theory_normalisation,[status(thm)],[c_1830,c_50,c_49]) ).
cnf(c_1880,plain,
join(complement(join(complement(complement(X0)),join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0))))))),join(X2,complement(X0))) = join(X2,complement(X0)),
inference(superposition,[status(thm)],[c_1263,c_1295]) ).
cnf(c_1924,plain,
join(complement(X0),join(X1,complement(join(complement(X0),join(complement(complement(X0)),complement(composition(converse(X2),complement(composition(X2,X0))))))))) = join(X1,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_1880,c_50,c_49]) ).
cnf(c_1925,plain,
join(complement(X0),join(X1,zero)) = join(X1,complement(X0)),
inference(demodulation,[status(thm)],[c_1924,c_108,c_1814,c_1828]) ).
cnf(c_1926,plain,
join(zero,join(X0,complement(X1))) = join(X0,complement(X1)),
inference(theory_normalisation,[status(thm)],[c_1925,c_50,c_49]) ).
cnf(c_1986,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_1263,c_1298]) ).
cnf(c_2072,plain,
join(zero,complement(X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_1986,c_108,c_1814,c_1828]) ).
cnf(c_2262,plain,
join(complement(join(complement(X0),join(complement(complement(X0)),complement(complement(join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0)))))))))),join(X2,complement(complement(X0)))) = join(X2,X0),
inference(superposition,[status(thm)],[c_1308,c_1295]) ).
cnf(c_2279,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_1308,c_1298]) ).
cnf(c_2287,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_2279,c_50,c_49]) ).
cnf(c_2288,plain,
join(complement(complement(X0)),zero) = X0,
inference(demodulation,[status(thm)],[c_2287,c_108,c_1814,c_1828,c_1831]) ).
cnf(c_2289,plain,
join(zero,complement(complement(X0))) = X0,
inference(theory_normalisation,[status(thm)],[c_2288,c_50,c_49]) ).
cnf(c_2290,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_2289,c_2072]) ).
cnf(c_2297,plain,
join(X0,complement(complement(X1))) = join(X0,X1),
inference(demodulation,[status(thm)],[c_2262,c_108,c_1814,c_1828,c_1831,c_1926]) ).
cnf(c_2319,plain,
complement(join(complement(join(zero,X0)),complement(X0))) = join(zero,X0),
inference(demodulation,[status(thm)],[c_1319,c_2072,c_2297]) ).
cnf(c_2320,plain,
complement(join(complement(X0),complement(join(zero,X0)))) = join(zero,X0),
inference(theory_normalisation,[status(thm)],[c_2319,c_50,c_49]) ).
cnf(c_2321,plain,
complement(join(zero,complement(join(zero,join(complement(sK1),complement(converse(sK0))))))) = join(zero,join(complement(sK1),complement(converse(sK0)))),
inference(superposition,[status(thm)],[c_77,c_2320]) ).
cnf(c_2345,plain,
join(zero,complement(join(join(zero,X0),complement(complement(join(zero,X0)))))) = join(complement(X0),complement(join(zero,X0))),
inference(superposition,[status(thm)],[c_2320,c_1275]) ).
cnf(c_2379,plain,
join(complement(join(zero,join(complement(X0),X0))),join(zero,X0)) = X0,
inference(superposition,[status(thm)],[c_2320,c_1298]) ).
cnf(c_2383,plain,
join(X0,join(zero,complement(join(zero,join(X0,complement(X0)))))) = X0,
inference(theory_normalisation,[status(thm)],[c_2379,c_50,c_49]) ).
cnf(c_2384,plain,
join(X0,zero) = X0,
inference(demodulation,[status(thm)],[c_2383,c_59,c_108,c_1926,c_2072]) ).
cnf(c_2430,plain,
join(complement(X0),complement(join(zero,X0))) = complement(join(zero,X0)),
inference(demodulation,[status(thm)],[c_2345,c_1540]) ).
cnf(c_2442,plain,
complement(zero) = top,
inference(demodulation,[status(thm)],[c_2321,c_108,c_1287,c_2072]) ).
cnf(c_2575,plain,
join(complement(X0),complement(join(complement(join(complement(X0),X1)),join(complement(X0),join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))))) = join(complement(X0),X1),
inference(demodulation,[status(thm)],[c_1326,c_2297]) ).
cnf(c_2576,plain,
join(complement(X0),complement(join(complement(X0),join(complement(X0),join(complement(X1),join(complement(join(complement(X0),X1)),complement(join(complement(X0),X1)))))))) = join(complement(X0),X1),
inference(theory_normalisation,[status(thm)],[c_2575,c_50,c_49]) ).
cnf(c_2621,plain,
join(complement(X0),complement(join(complement(X0),join(complement(X0),join(complement(complement(join(zero,X0))),join(join(zero,X0),join(zero,X0))))))) = join(complement(X0),complement(join(zero,X0))),
inference(superposition,[status(thm)],[c_2320,c_2576]) ).
cnf(c_2709,plain,
join(complement(X0),complement(join(complement(X0),join(complement(X0),join(join(zero,X0),join(join(zero,X0),join(zero,X0))))))) = complement(join(zero,X0)),
inference(demodulation,[status(thm)],[c_2621,c_2290,c_2430]) ).
cnf(c_2710,plain,
join(complement(X0),complement(join(X0,join(X0,join(X0,join(zero,join(zero,join(zero,join(complement(X0),complement(X0)))))))))) = complement(join(zero,X0)),
inference(theory_normalisation,[status(thm)],[c_2709,c_50,c_49]) ).
cnf(c_2711,plain,
join(complement(X0),complement(join(X0,top))) = complement(join(zero,X0)),
inference(demodulation,[status(thm)],[c_2710,c_1771,c_1809,c_1926]) ).
cnf(c_2844,plain,
join(complement(sK1),complement(join(top,sK1))) = join(complement(sK1),converse(sK0)),
inference(demodulation,[status(thm)],[c_1330,c_1745,c_2442]) ).
cnf(c_2853,plain,
join(complement(sK1),complement(join(complement(sK1),join(complement(complement(join(top,sK1))),complement(join(complement(sK1),converse(sK0))))))) = join(complement(sK1),converse(sK0)),
inference(superposition,[status(thm)],[c_2844,c_1262]) ).
cnf(c_2887,plain,
join(complement(sK1),complement(join(complement(sK1),join(join(top,sK1),complement(join(complement(sK1),converse(sK0))))))) = join(complement(sK1),converse(sK0)),
inference(demodulation,[status(thm)],[c_2853,c_2290]) ).
cnf(c_2888,plain,
join(complement(sK1),complement(join(top,join(sK1,join(complement(sK1),complement(join(complement(sK1),converse(sK0)))))))) = join(complement(sK1),converse(sK0)),
inference(theory_normalisation,[status(thm)],[c_2887,c_50,c_49]) ).
cnf(c_2889,plain,
join(complement(sK1),converse(sK0)) = complement(sK1),
inference(demodulation,[status(thm)],[c_2888,c_108,c_1809,c_1814,c_1828,c_2384]) ).
cnf(c_2911,plain,
join(complement(X0),complement(join(top,X0))) = join(complement(X0),complement(X0)),
inference(demodulation,[status(thm)],[c_1332,c_1746,c_2442]) ).
cnf(c_2916,plain,
join(complement(X0),complement(join(X0,top))) = join(complement(X0),complement(X0)),
inference(superposition,[status(thm)],[c_49,c_2911]) ).
cnf(c_2949,plain,
join(complement(X0),complement(X0)) = complement(join(zero,X0)),
inference(demodulation,[status(thm)],[c_2916,c_2711]) ).
cnf(c_3019,plain,
join(top,complement(join(complement(join(X0,top)),complement(complement(join(top,complement(X0))))))) = join(X0,top),
inference(superposition,[status(thm)],[c_2442,c_1303]) ).
cnf(c_3032,plain,
join(top,complement(join(top,join(complement(X0),complement(join(top,X0)))))) = join(top,X0),
inference(superposition,[status(thm)],[c_2442,c_1262]) ).
cnf(c_3036,plain,
join(complement(join(top,X0)),complement(join(top,complement(X0)))) = zero,
inference(superposition,[status(thm)],[c_2442,c_75]) ).
cnf(c_3052,plain,
complement(join(top,X0)) = zero,
inference(demodulation,[status(thm)],[c_3036,c_108,c_1814,c_2384]) ).
cnf(c_3058,plain,
join(top,X0) = top,
inference(demodulation,[status(thm)],[c_3032,c_1814]) ).
cnf(c_3064,plain,
join(X0,top) = top,
inference(demodulation,[status(thm)],[c_3019,c_1814,c_1831]) ).
cnf(c_3123,plain,
join(complement(X0),complement(X0)) = join(complement(X0),complement(top)),
inference(superposition,[status(thm)],[c_3058,c_2911]) ).
cnf(c_3126,plain,
complement(join(zero,X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_3123,c_108,c_2384,c_2949]) ).
cnf(c_3458,plain,
join(complement(X0),complement(join(complement(join(complement(X0),join(complement(X1),join(complement(join(complement(X0),X1)),complement(join(complement(X0),X1)))))),join(complement(X0),X1)))) = join(complement(X0),join(complement(X0),join(complement(X1),join(complement(join(complement(X0),X1)),complement(join(complement(X0),X1)))))),
inference(superposition,[status(thm)],[c_2576,c_1343]) ).
cnf(c_3607,plain,
join(complement(X0),complement(join(complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))),join(complement(X0),X1)))) = join(complement(X0),join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))),
inference(demodulation,[status(thm)],[c_3458,c_2949,c_3126]) ).
cnf(c_3608,plain,
join(complement(X0),complement(join(X1,join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))))))) = join(complement(X0),join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))),
inference(theory_normalisation,[status(thm)],[c_3607,c_50,c_49]) ).
cnf(c_3609,plain,
join(complement(X0),join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))) = join(complement(X0),complement(join(X1,join(complement(X0),X1)))),
inference(demodulation,[status(thm)],[c_3608,c_1262]) ).
cnf(c_4454,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(join(X1,join(complement(X0),X1)))))) = X0,
inference(demodulation,[status(thm)],[c_1366,c_2297,c_3609]) ).
cnf(c_4969,plain,
join(X0,complement(join(top,complement(X0)))) = join(X0,X0),
inference(superposition,[status(thm)],[c_2290,c_2911]) ).
cnf(c_5015,plain,
join(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_4969,c_2384,c_3052]) ).
cnf(c_5065,plain,
join(X0,join(X1,X0)) = join(X1,X0),
inference(superposition,[status(thm)],[c_5015,c_1257]) ).
cnf(c_5067,plain,
join(X0,join(join(X0,X1),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_5015,c_1257]) ).
cnf(c_5079,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),complement(X1))),X0),
inference(superposition,[status(thm)],[c_5015,c_1295]) ).
cnf(c_5087,plain,
join(complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))),join(complement(X0),X1)) = join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))),
inference(superposition,[status(thm)],[c_5015,c_1367]) ).
cnf(c_5091,plain,
join(X0,join(X0,join(X1,X1))) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_5067,c_50,c_49]) ).
cnf(c_5092,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(demodulation,[status(thm)],[c_5091,c_5015]) ).
cnf(c_5126,plain,
join(complement(join(complement(X0),complement(X1))),X0) = X0,
inference(demodulation,[status(thm)],[c_5079,c_75]) ).
cnf(c_5127,plain,
join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_5126,c_50,c_49]) ).
cnf(c_5131,plain,
join(complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))),join(complement(X0),X1)) = join(complement(X0),X1),
inference(demodulation,[status(thm)],[c_5087,c_1262]) ).
cnf(c_5132,plain,
join(X0,join(complement(X1),complement(join(complement(X1),join(complement(X0),complement(join(complement(X1),X0))))))) = join(complement(X1),X0),
inference(theory_normalisation,[status(thm)],[c_5131,c_50,c_49]) ).
cnf(c_5133,plain,
join(X0,join(complement(X1),X0)) = join(complement(X1),X0),
inference(demodulation,[status(thm)],[c_5132,c_1262]) ).
cnf(c_5172,plain,
join(complement(X0),complement(join(join(complement(X0),X1),complement(join(complement(X0),complement(join(complement(X0),X1))))))) = join(complement(X0),complement(join(complement(X0),X1))),
inference(demodulation,[status(thm)],[c_1382,c_2290,c_3609,c_5133]) ).
cnf(c_5173,plain,
join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X0),complement(join(complement(X0),X1)))))))) = join(complement(X0),complement(join(complement(X0),X1))),
inference(theory_normalisation,[status(thm)],[c_5172,c_50,c_49]) ).
cnf(c_5835,plain,
join(complement(join(join(complement(X0),X1),complement(join(complement(X1),complement(X0))))),complement(X0)) = join(complement(X1),complement(X0)),
inference(superposition,[status(thm)],[c_1278,c_1496]) ).
cnf(c_5926,plain,
join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X1),complement(X0))))))) = join(complement(X1),complement(X0)),
inference(theory_normalisation,[status(thm)],[c_5835,c_50,c_49]) ).
cnf(c_5927,plain,
join(complement(X0),complement(join(complement(X0),X1))) = join(complement(X1),complement(X0)),
inference(demodulation,[status(thm)],[c_5926,c_5127]) ).
cnf(c_6086,plain,
join(complement(join(X0,complement(X1))),complement(join(complement(join(X0,complement(X1))),complement(X1)))) = X1,
inference(superposition,[status(thm)],[c_5015,c_1502]) ).
cnf(c_6109,plain,
join(complement(join(X0,join(complement(join(complement(X1),complement(X0))),complement(X1)))),complement(X1)) = join(complement(X1),complement(X0)),
inference(superposition,[status(thm)],[c_1279,c_1502]) ).
cnf(c_6230,plain,
join(X0,complement(join(X1,complement(X0)))) = X0,
inference(demodulation,[status(thm)],[c_6086,c_2290,c_5927]) ).
cnf(c_6257,plain,
join(complement(X0),complement(join(X1,join(complement(X0),complement(join(complement(X0),complement(X1))))))) = join(complement(X0),complement(X1)),
inference(theory_normalisation,[status(thm)],[c_6109,c_50,c_49]) ).
cnf(c_6258,plain,
join(complement(X0),complement(join(X1,complement(X0)))) = join(complement(X0),complement(X1)),
inference(demodulation,[status(thm)],[c_6257,c_2290,c_5092,c_5927]) ).
cnf(c_7200,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(join(complement(X0),X1))))) = X0,
inference(superposition,[status(thm)],[c_5065,c_4454]) ).
cnf(c_7221,plain,
join(complement(join(complement(X0),X1)),X0) = X0,
inference(demodulation,[status(thm)],[c_7200,c_2297,c_6258]) ).
cnf(c_7222,plain,
join(X0,complement(join(complement(X0),X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_7221,c_50,c_49]) ).
cnf(c_8145,plain,
join(complement(X0),complement(join(X0,X1))) = complement(X0),
inference(superposition,[status(thm)],[c_2290,c_7222]) ).
cnf(c_11733,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_11734,plain,
converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_15573,plain,
join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_59,c_11733]) ).
cnf(c_15578,plain,
join(X0,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_3064,c_11733]) ).
cnf(c_22112,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_15578,c_3058]) ).
cnf(c_28487,plain,
join(X0,converse(complement(converse(X0)))) = top,
inference(demodulation,[status(thm)],[c_15573,c_22112]) ).
cnf(c_28534,plain,
join(X0,join(X1,converse(complement(converse(X0))))) = join(X1,top),
inference(superposition,[status(thm)],[c_28487,c_1257]) ).
cnf(c_28569,plain,
join(X0,join(X1,converse(complement(converse(X0))))) = top,
inference(demodulation,[status(thm)],[c_28534,c_3064]) ).
cnf(c_28683,plain,
join(X0,converse(join(X1,complement(converse(X0))))) = top,
inference(superposition,[status(thm)],[c_56,c_28569]) ).
cnf(c_29929,plain,
join(converse(complement(sK1)),sK0) = converse(complement(sK1)),
inference(superposition,[status(thm)],[c_2889,c_11734]) ).
cnf(c_29985,plain,
join(sK0,converse(complement(sK1))) = converse(complement(sK1)),
inference(theory_normalisation,[status(thm)],[c_29929,c_50,c_49]) ).
cnf(c_30007,plain,
join(complement(sK0),complement(converse(complement(sK1)))) = complement(sK0),
inference(superposition,[status(thm)],[c_29985,c_8145]) ).
cnf(c_30161,plain,
join(complement(sK1),converse(complement(sK0))) = top,
inference(superposition,[status(thm)],[c_30007,c_28683]) ).
cnf(c_30342,plain,
join(complement(sK1),join(X0,converse(complement(sK0)))) = join(X0,top),
inference(superposition,[status(thm)],[c_30161,c_1257]) ).
cnf(c_30368,plain,
join(complement(sK1),join(X0,converse(complement(sK0)))) = top,
inference(demodulation,[status(thm)],[c_30342,c_3064]) ).
cnf(c_30625,plain,
join(complement(sK1),join(converse(complement(sK0)),X0)) = top,
inference(superposition,[status(thm)],[c_49,c_30368]) ).
cnf(c_30879,plain,
join(complement(sK1),complement(join(complement(sK1),converse(complement(sK0))))) = join(complement(sK1),complement(top)),
inference(superposition,[status(thm)],[c_30625,c_5173]) ).
cnf(c_30898,plain,
join(complement(converse(complement(sK0))),complement(sK1)) = complement(sK1),
inference(demodulation,[status(thm)],[c_30879,c_108,c_2384,c_5927]) ).
cnf(c_30899,plain,
join(complement(sK1),complement(converse(complement(sK0)))) = complement(sK1),
inference(theory_normalisation,[status(thm)],[c_30898,c_50,c_49]) ).
cnf(c_31635,plain,
join(converse(complement(sK0)),complement(complement(sK1))) = converse(complement(sK0)),
inference(superposition,[status(thm)],[c_30899,c_6230]) ).
cnf(c_31679,plain,
join(converse(complement(sK0)),sK1) = converse(complement(sK0)),
inference(demodulation,[status(thm)],[c_31635,c_2297]) ).
cnf(c_31680,plain,
join(sK1,converse(complement(sK0))) = converse(complement(sK0)),
inference(theory_normalisation,[status(thm)],[c_31679,c_50,c_49]) ).
cnf(c_31833,plain,
join(converse(sK1),complement(sK0)) = converse(converse(complement(sK0))),
inference(superposition,[status(thm)],[c_31680,c_11734]) ).
cnf(c_31835,plain,
join(converse(sK1),complement(sK0)) = complement(sK0),
inference(demodulation,[status(thm)],[c_31833,c_55]) ).
cnf(c_31836,plain,
join(complement(sK0),converse(sK1)) = complement(sK0),
inference(theory_normalisation,[status(thm)],[c_31835,c_50,c_49]) ).
cnf(c_31904,plain,
join(complement(sK0),complement(join(complement(sK0),join(converse(sK1),complement(join(complement(sK0),complement(complement(sK0)))))))) = join(complement(sK0),complement(complement(sK0))),
inference(superposition,[status(thm)],[c_31836,c_5173]) ).
cnf(c_31978,plain,
join(complement(join(converse(sK1),complement(join(complement(sK0),sK0)))),complement(sK0)) = join(complement(sK0),sK0),
inference(demodulation,[status(thm)],[c_31904,c_2297,c_5927]) ).
cnf(c_31979,plain,
join(complement(sK0),complement(join(converse(sK1),complement(join(sK0,complement(sK0)))))) = join(sK0,complement(sK0)),
inference(theory_normalisation,[status(thm)],[c_31978,c_50,c_49]) ).
cnf(c_31980,plain,
join(complement(sK0),complement(converse(sK1))) = top,
inference(demodulation,[status(thm)],[c_31979,c_59,c_108,c_2384]) ).
cnf(c_32085,plain,
complement(top) != zero,
inference(superposition,[status(thm)],[c_31980,c_61]) ).
cnf(c_32132,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_32085,c_108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL006+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n002.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 20:14:42 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 38.57/6.22 % SZS status Started for theBenchmark.p
% 38.57/6.22 % SZS status Theorem for theBenchmark.p
% 38.57/6.22
% 38.57/6.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 38.57/6.22
% 38.57/6.22 ------ iProver source info
% 38.57/6.22
% 38.57/6.22 git: date: 2024-05-02 19:28:25 +0000
% 38.57/6.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 38.57/6.22 git: non_committed_changes: false
% 38.57/6.22
% 38.57/6.22 ------ Parsing...
% 38.57/6.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 38.57/6.22
% 38.57/6.22 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 38.57/6.22
% 38.57/6.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 38.57/6.22
% 38.57/6.22 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 38.57/6.22 ------ Proving...
% 38.57/6.22 ------ Problem Properties
% 38.57/6.22
% 38.57/6.22
% 38.57/6.22 clauses 14
% 38.57/6.22 conjectures 2
% 38.57/6.22 EPR 0
% 38.57/6.22 Horn 14
% 38.57/6.22 unary 14
% 38.57/6.22 binary 0
% 38.57/6.22 lits 14
% 38.57/6.22 lits eq 14
% 38.57/6.22 fd_pure 0
% 38.57/6.22 fd_pseudo 0
% 38.57/6.22 fd_cond 0
% 38.57/6.22 fd_pseudo_cond 0
% 38.57/6.22 AC symbols 1
% 38.57/6.22
% 38.57/6.22 ------ Input Options Time Limit: Unbounded
% 38.57/6.22
% 38.57/6.22
% 38.57/6.22 ------
% 38.57/6.22 Current options:
% 38.57/6.22 ------
% 38.57/6.22
% 38.57/6.22
% 38.57/6.22
% 38.57/6.22
% 38.57/6.22 ------ Proving...
% 38.57/6.22
% 38.57/6.22
% 38.57/6.22 % SZS status Theorem for theBenchmark.p
% 38.57/6.22
% 38.57/6.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 39.62/6.22
% 39.62/6.22
%------------------------------------------------------------------------------