%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL011+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:03:14 PM UTC 2026
% Result : Theorem 6.71s 6.40s
% Output : CNFRefutation 7.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 15
% Syntax : Number of formulae : 126 ( 122 unt; 0 def)
% Number of atoms : 130 ( 129 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 163 ( 160 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,conjecture,
! [X0,X1,X2] :
( meet(X0,composition(converse(X1),X2)) = zero
=> meet(composition(X1,X0),X2) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( meet(X0,composition(converse(X1),X2)) = zero
=> meet(composition(X1,X0),X2) = zero ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f20,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f21,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f22,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f23,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f24,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f25,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f26,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f29,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f30,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f31,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f32,plain,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f35,plain,
? [X0,X1,X2] :
( meet(composition(X1,X0),X2) != zero
& meet(X0,composition(converse(X1),X2)) = zero ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f36,plain,
( meet(composition(sK1_skl,sK0_skl),sK2_skl) != zero
& meet(sK0_skl,composition(converse(sK1_skl),sK2_skl)) = zero ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl),skolemize(X2,sK2_skl)],[f35]) ).
fof(f37,plain,
meet(sK0_skl,composition(converse(sK1_skl),sK2_skl)) = zero,
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
meet(composition(sK1_skl,sK0_skl),sK2_skl) != zero,
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f42,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f19,f21]) ).
fof(f43,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f22,f42]) ).
fof(f44,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f19,f29]) ).
fof(f45,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f19,f43]) ).
fof(f51,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(paramodulation,[status(thm)],[f26,f27]) ).
fof(f52,plain,
! [X0,X1] : converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f53,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f109,plain,
! [X0,X1,X2] : converse(composition(X0,composition(X1,converse(X2)))) = composition(X2,converse(composition(X0,X1))),
inference(paramodulation,[status(thm)],[f23,f52]) ).
fof(f609,plain,
join(meet(composition(sK1_skl,sK0_skl),sK2_skl),composition(meet(sK1_skl,composition(sK2_skl,converse(sK0_skl))),zero)) = composition(meet(sK1_skl,composition(sK2_skl,converse(sK0_skl))),meet(sK0_skl,composition(converse(sK1_skl),sK2_skl))),
inference(paramodulation,[status(thm)],[f37,f32]) ).
fof(f648,plain,
join(meet(composition(sK1_skl,sK0_skl),sK2_skl),composition(meet(sK1_skl,composition(sK2_skl,converse(sK0_skl))),zero)) = composition(meet(sK1_skl,composition(sK2_skl,converse(sK0_skl))),zero),
inference(forward_demodulation,[status(thm)],[f37,f609]) ).
fof(f761,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f24,f53]) ).
fof(f770,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f26,f761]) ).
fof(f778,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f24,f770]) ).
fof(f798,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f778,f770]) ).
fof(f900,plain,
! [X0] : converse(join(X0,one)) = join(converse(X0),one),
inference(paramodulation,[status(thm)],[f778,f51]) ).
fof(f934,plain,
! [X0] : converse(join(X0,one)) = join(one,converse(X0)),
inference(forward_demodulation,[status(thm)],[f19,f900]) ).
fof(f1090,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f30,f22]) ).
fof(f1091,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f19,f22]) ).
fof(f1097,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f31,f1090]) ).
fof(f1098,plain,
meet(sK2_skl,composition(sK1_skl,sK0_skl)) != zero,
inference(backward_demodulation,[status(thm)],[f1123,f38]) ).
fof(f1106,plain,
join(meet(sK2_skl,composition(sK1_skl,sK0_skl)),composition(meet(sK1_skl,composition(sK2_skl,converse(sK0_skl))),zero)) = composition(meet(sK1_skl,composition(sK2_skl,converse(sK0_skl))),zero),
inference(backward_demodulation,[status(thm)],[f1123,f648]) ).
fof(f1123,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f22,f1091]) ).
fof(f1149,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(paramodulation,[status(thm)],[f1097,f22]) ).
fof(f1153,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f1149]) ).
fof(f1172,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f30,f20]) ).
fof(f1313,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(paramodulation,[status(thm)],[f30,f1172]) ).
fof(f1337,plain,
! [X0,X1] : composition(join(one,X0),X1) = join(X1,composition(X0,X1)),
inference(paramodulation,[status(thm)],[f798,f25]) ).
fof(f1342,plain,
! [X0,X1] : composition(join(X0,one),X1) = join(composition(X0,X1),X1),
inference(paramodulation,[status(thm)],[f798,f25]) ).
fof(f1357,plain,
! [X0,X1] : composition(join(X0,one),X1) = join(X1,composition(X0,X1)),
inference(forward_demodulation,[status(thm)],[f19,f1342]) ).
fof(f1369,plain,
! [X0] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top),
inference(paramodulation,[status(thm)],[f1097,f44]) ).
fof(f1372,plain,
! [X0] : join(complement(X0),composition(one,complement(composition(one,X0)))) = complement(X0),
inference(paramodulation,[status(thm)],[f778,f44]) ).
fof(f1393,plain,
! [X0] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(forward_demodulation,[status(thm)],[f1097,f1369]) ).
fof(f1396,plain,
! [X0] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f798,f1372]) ).
fof(f1397,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f798,f1396]) ).
fof(f1417,plain,
sK0_skl = join(zero,complement(join(complement(sK0_skl),composition(converse(sK1_skl),sK2_skl)))),
inference(paramodulation,[status(thm)],[f37,f45]) ).
fof(f1423,plain,
! [X0,X1] : X0 = join(meet(X0,join(complement(complement(X0)),X1)),complement(join(top,X1))),
inference(paramodulation,[status(thm)],[f1172,f45]) ).
fof(f1439,plain,
! [X0,X1] : X0 = join(complement(join(top,X1)),meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f19,f1423]) ).
fof(f1448,plain,
meet(join(complement(sK0_skl),composition(converse(sK1_skl),sK2_skl)),top) = complement(sK0_skl),
inference(paramodulation,[status(thm)],[f1417,f1153]) ).
fof(f1452,plain,
meet(top,join(complement(sK0_skl),composition(converse(sK1_skl),sK2_skl))) = complement(sK0_skl),
inference(forward_demodulation,[status(thm)],[f1123,f1448]) ).
fof(f1454,plain,
top = join(complement(sK0_skl),complement(join(complement(top),join(complement(sK0_skl),composition(converse(sK1_skl),sK2_skl))))),
inference(paramodulation,[status(thm)],[f1452,f45]) ).
fof(f1455,plain,
top = join(complement(sK0_skl),complement(join(zero,join(complement(sK0_skl),composition(converse(sK1_skl),sK2_skl))))),
inference(forward_demodulation,[status(thm)],[f1097,f1454]) ).
fof(f1499,plain,
! [X0] : X0 = join(meet(X0,complement(X0)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f1397,f45]) ).
fof(f1500,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(paramodulation,[status(thm)],[f1397,f1172]) ).
fof(f1520,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f1499]) ).
fof(f1521,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f31,f1520]) ).
fof(f1522,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f1521]) ).
fof(f1525,plain,
! [X0] : join(X0,top) = top,
inference(backward_demodulation,[status(thm)],[f1527,f1313]) ).
fof(f1527,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[status(thm)],[f30,f1500]) ).
fof(f1540,plain,
! [X0] : join(top,X0) = top,
inference(paramodulation,[status(thm)],[f19,f1525]) ).
fof(f1544,plain,
! [X0] : X0 = join(meet(X0,top),complement(top)),
inference(paramodulation,[status(thm)],[f1525,f45]) ).
fof(f1567,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(complement(complement(X0)),X1))),
inference(backward_demodulation,[status(thm)],[f1540,f1439]) ).
fof(f1574,plain,
! [X0] : X0 = join(complement(top),meet(X0,top)),
inference(forward_demodulation,[status(thm)],[f19,f1544]) ).
fof(f1576,plain,
! [X0] : X0 = join(zero,meet(X0,top)),
inference(forward_demodulation,[status(thm)],[f1097,f1574]) ).
fof(f1588,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f1097,f1567]) ).
fof(f1626,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))),
inference(paramodulation,[status(thm)],[f22,f1522]) ).
fof(f1627,plain,
! [X0] : meet(complement(X0),top) = complement(X0),
inference(paramodulation,[status(thm)],[f1522,f1153]) ).
fof(f1631,plain,
! [X0] : meet(top,complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f1123,f1627]) ).
fof(f1648,plain,
! [X0] : X0 = join(zero,meet(top,X0)),
inference(paramodulation,[status(thm)],[f1123,f1576]) ).
fof(f1700,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(paramodulation,[status(thm)],[f1631,f1648]) ).
fof(f1702,plain,
join(complement(sK0_skl),composition(converse(sK1_skl),sK2_skl)) = join(zero,complement(sK0_skl)),
inference(paramodulation,[status(thm)],[f1452,f1648]) ).
fof(f1711,plain,
! [X0] : X0 = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f1700,f1522]) ).
fof(f1713,plain,
! [X0] : meet(X0,top) = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f1700,f1153]) ).
fof(f1714,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1700,f1626]) ).
fof(f1722,plain,
top = join(complement(sK0_skl),complement(join(zero,complement(sK0_skl)))),
inference(backward_demodulation,[status(thm)],[f1727,f1455]) ).
fof(f1727,plain,
join(complement(sK0_skl),composition(converse(sK1_skl),sK2_skl)) = complement(sK0_skl),
inference(forward_demodulation,[status(thm)],[f1700,f1702]) ).
fof(f1739,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(X0,X1))),
inference(backward_demodulation,[status(thm)],[f1711,f1588]) ).
fof(f1745,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f1748,f1576]) ).
fof(f1748,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[status(thm)],[f1711,f1713]) ).
fof(f1768,plain,
top = complement(meet(sK0_skl,join(zero,complement(sK0_skl)))),
inference(forward_demodulation,[status(thm)],[f1714,f1722]) ).
fof(f1769,plain,
top = complement(meet(sK0_skl,complement(sK0_skl))),
inference(forward_demodulation,[status(thm)],[f1700,f1768]) ).
fof(f1770,plain,
top = complement(zero),
inference(forward_demodulation,[status(thm)],[f31,f1769]) ).
fof(f1792,plain,
! [X0,X1] : X0 = meet(X0,join(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1745,f1739]) ).
fof(f1794,plain,
! [X0] : composition(converse(X0),complement(composition(X0,top))) = zero,
inference(backward_demodulation,[status(thm)],[f1745,f1393]) ).
fof(f2245,plain,
! [X0] : zero = join(meet(zero,X0),complement(join(top,X0))),
inference(paramodulation,[status(thm)],[f1770,f45]) ).
fof(f2249,plain,
! [X0] : zero = join(meet(zero,X0),complement(top)),
inference(forward_demodulation,[status(thm)],[f1540,f2245]) ).
fof(f2250,plain,
! [X0] : zero = join(complement(top),meet(zero,X0)),
inference(forward_demodulation,[status(thm)],[f19,f2249]) ).
fof(f2251,plain,
! [X0] : zero = join(zero,meet(zero,X0)),
inference(forward_demodulation,[status(thm)],[f1097,f2250]) ).
fof(f2252,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[status(thm)],[f1745,f2251]) ).
fof(f2352,plain,
! [X0] : zero = meet(X0,zero),
inference(paramodulation,[status(thm)],[f1123,f2252]) ).
fof(f2482,plain,
meet(sK2_skl,composition(sK1_skl,sK0_skl)) = meet(meet(sK2_skl,composition(sK1_skl,sK0_skl)),composition(meet(sK1_skl,composition(sK2_skl,converse(sK0_skl))),zero)),
inference(paramodulation,[status(thm)],[f1106,f1792]) ).
fof(f4256,plain,
! [X0] : composition(join(one,converse(X0)),complement(composition(join(X0,one),top))) = zero,
inference(paramodulation,[status(thm)],[f934,f1794]) ).
fof(f4303,plain,
! [X0] : composition(join(one,converse(X0)),complement(join(top,composition(X0,top)))) = zero,
inference(forward_demodulation,[status(thm)],[f1357,f4256]) ).
fof(f4304,plain,
! [X0] : composition(join(one,converse(X0)),complement(top)) = zero,
inference(forward_demodulation,[status(thm)],[f1540,f4303]) ).
fof(f4305,plain,
! [X0] : composition(join(one,converse(X0)),zero) = zero,
inference(forward_demodulation,[status(thm)],[f1097,f4304]) ).
fof(f4306,plain,
! [X0] : join(zero,composition(converse(X0),zero)) = zero,
inference(forward_demodulation,[status(thm)],[f1337,f4305]) ).
fof(f4309,plain,
! [X0] : composition(converse(X0),zero) = zero,
inference(forward_demodulation,[status(thm)],[f1745,f4306]) ).
fof(f4414,plain,
! [X0,X1,X2] : composition(composition(X0,converse(composition(X1,X2))),zero) = zero,
inference(paramodulation,[status(thm)],[f109,f4309]) ).
fof(f4455,plain,
! [X0,X1,X2] : composition(X0,composition(converse(composition(X1,X2)),zero)) = zero,
inference(forward_demodulation,[status(thm)],[f23,f4414]) ).
fof(f4467,plain,
meet(sK2_skl,composition(sK1_skl,sK0_skl)) = meet(meet(sK2_skl,composition(sK1_skl,sK0_skl)),zero),
inference(backward_demodulation,[status(thm)],[f4493,f2482]) ).
fof(f4493,plain,
! [X0] : composition(X0,zero) = zero,
inference(forward_demodulation,[status(thm)],[f4309,f4455]) ).
fof(f4638,plain,
meet(sK2_skl,composition(sK1_skl,sK0_skl)) = zero,
inference(forward_demodulation,[status(thm)],[f2352,f4467]) ).
fof(f4639,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4638,f1098]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL011+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.39 % Computer : n005.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Mon Sep 21 03:58:54 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.16/5.40 % Drodi V4.1.1
% 6.71/6.40 % Refutation found
% 6.71/6.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 6.71/6.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.47/6.46 % Elapsed time: 1.050346 seconds
% 7.47/6.46 % CPU time: 7.816801 seconds
% 7.47/6.46 % Total memory used: 130.415 MB
% 7.47/6.46 % Net memory used: 127.592 MB
%------------------------------------------------------------------------------