%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL005-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 02:03:11 PM UTC 2026
% Result : Unsatisfiable 126.05s 16.92s
% Output : CNFRefutation 69.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 12
% Syntax : Number of formulae : 190 ( 190 unt; 0 def)
% Number of atoms : 190 ( 189 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 8 ( 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 : 323 ( 323 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : meet(A,B) = complement(join(complement(A),complement(B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : composition(A,one) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : converse(converse(A)) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : converse(join(A,B)) = join(converse(A),converse(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] : converse(composition(A,B)) = composition(converse(B),converse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] : join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] : top = join(A,complement(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] : zero = meet(A,complement(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
converse(meet(sk1,sk2)) != meet(converse(sk1),converse(sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f16,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f20,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f22,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f23,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f24,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f25,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f26,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f27,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f28,plain,
converse(meet(sk1,sk2)) != meet(converse(sk1),converse(sk2)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f35,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(backward_demodulation,[status(thm)],[f18,f17]) ).
fof(f37,plain,
! [X0,X1,X2] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f38,plain,
! [X0,X1,X2] : meet(X0,join(complement(X1),complement(X2))) = complement(join(complement(X0),meet(X1,X2))),
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f39,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f22,f23]) ).
fof(f40,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(paramodulation,[status(thm)],[f22,f23]) ).
fof(f42,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f22,f24]) ).
fof(f43,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f18,f35]) ).
fof(f44,plain,
! [X0,X1,X2] : join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X2),complement(join(meet(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f18,f35]) ).
fof(f45,plain,
! [X0,X1] : join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)) = complement(X1),
inference(paramodulation,[status(thm)],[f22,f25]) ).
fof(f332,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f20,f42]) ).
fof(f334,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f22,f332]) ).
fof(f337,plain,
! [X0,X1] : zero = meet(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f18,f27]) ).
fof(f367,plain,
! [X0,X1] : meet(join(complement(X0),complement(X1)),meet(X0,X1)) = complement(top),
inference(paramodulation,[status(thm)],[f26,f37]) ).
fof(f370,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f26,f39]) ).
fof(f382,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f337,f367]) ).
fof(f457,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f20,f334]) ).
fof(f466,plain,
! [X0] : join(composition(one,complement(X0)),complement(X0)) = complement(X0),
inference(paramodulation,[status(thm)],[f334,f45]) ).
fof(f478,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f457,f334]) ).
fof(f501,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f478,f466]) ).
fof(f600,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f501,f18]) ).
fof(f601,plain,
! [X0] : X0 = join(meet(X0,complement(X0)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f501,f35]) ).
fof(f618,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f27,f601]) ).
fof(f722,plain,
! [X0] : join(complement(complement(X0)),meet(X0,X0)) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f600,f501]) ).
fof(f830,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f43,f15]) ).
fof(f831,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(paramodulation,[status(thm)],[f23,f15]) ).
fof(f863,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(X1,converse(X0)),
inference(paramodulation,[status(thm)],[f15,f39]) ).
fof(f871,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f15,f18]) ).
fof(f872,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f15,f35]) ).
fof(f906,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f15,f16]) ).
fof(f909,plain,
! [X0,X1] : join(zero,join(complement(complement(X0)),X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f618,f16]) ).
fof(f924,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)) = join(X0,X2),
inference(paramodulation,[status(thm)],[f35,f16]) ).
fof(f962,plain,
! [X0,X1] : join(complement(X0),complement(complement(X1))) = join(meet(join(complement(X0),complement(complement(X1))),meet(X0,X1)),complement(X0)),
inference(paramodulation,[status(thm)],[f43,f44]) ).
fof(f1013,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(paramodulation,[status(thm)],[f600,f830]) ).
fof(f1024,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f27,f1013]) ).
fof(f1153,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f18,f872]) ).
fof(f1161,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)),
inference(paramodulation,[status(thm)],[f35,f872]) ).
fof(f1162,plain,
! [X0,X1] : join(X0,complement(X1)) = join(meet(join(X0,complement(X1)),meet(X1,X0)),complement(X1)),
inference(paramodulation,[status(thm)],[f872,f872]) ).
fof(f1231,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f15,f1153]) ).
fof(f1235,plain,
! [X0,X1] : X0 = join(meet(X0,meet(X1,X1)),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f600,f1153]) ).
fof(f1260,plain,
! [X0,X1] : X0 = join(meet(complement(X1),X0),meet(X0,meet(X1,X1))),
inference(paramodulation,[status(thm)],[f600,f1231]) ).
fof(f1442,plain,
! [X0] : join(zero,complement(complement(X0))) = join(X0,meet(X0,X0)),
inference(paramodulation,[status(thm)],[f722,f909]) ).
fof(f1446,plain,
! [X0] : join(zero,complement(complement(X0))) = join(X0,complement(complement(X0))),
inference(paramodulation,[status(thm)],[f501,f909]) ).
fof(f1458,plain,
! [X0] : X0 = join(X0,meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f618,f1442]) ).
fof(f1462,plain,
! [X0] : X0 = join(X0,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f618,f1446]) ).
fof(f1481,plain,
! [X0] : meet(X0,join(complement(complement(X0)),complement(complement(X0)))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f1458,f38]) ).
fof(f1493,plain,
! [X0] : meet(X0,complement(complement(X0))) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f501,f1481]) ).
fof(f1512,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(complement(converse(X0))))),
inference(paramodulation,[status(thm)],[f1462,f39]) ).
fof(f1513,plain,
! [X0] : join(zero,complement(complement(X0))) = join(X0,complement(complement(complement(complement(X0))))),
inference(paramodulation,[status(thm)],[f1462,f909]) ).
fof(f1531,plain,
! [X0] : X0 = join(X0,converse(complement(complement(converse(X0))))),
inference(forward_demodulation,[status(thm)],[f22,f1512]) ).
fof(f1532,plain,
! [X0] : X0 = join(X0,complement(complement(complement(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f618,f1513]) ).
fof(f1568,plain,
! [X0,X1] : join(X0,join(converse(complement(complement(converse(X0)))),X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f1531,f16]) ).
fof(f1603,plain,
! [X0] : X0 = join(meet(complement(X0),X0),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f1493,f1231]) ).
fof(f1604,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(complement(X0),X0)),
inference(paramodulation,[status(thm)],[f1493,f1153]) ).
fof(f1607,plain,
! [X0] : complement(complement(X0)) = join(complement(complement(X0)),meet(complement(complement(X0)),complement(X0))),
inference(paramodulation,[status(thm)],[f1493,f1231]) ).
fof(f1837,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),complement(complement(complement(complement(meet(X0,X1)))))),complement(meet(X0,X1))),
inference(paramodulation,[status(thm)],[f1532,f44]) ).
fof(f1883,plain,
! [X0] : converse(converse(top)) = join(complement(converse(X0)),converse(X0)),
inference(paramodulation,[status(thm)],[f370,f863]) ).
fof(f1927,plain,
! [X0] : top = join(complement(converse(X0)),converse(X0)),
inference(forward_demodulation,[status(thm)],[f22,f1883]) ).
fof(f1972,plain,
! [X0] : top = join(complement(X0),converse(converse(X0))),
inference(paramodulation,[status(thm)],[f22,f1927]) ).
fof(f1985,plain,
! [X0] : converse(top) = join(converse(complement(converse(X0))),X0),
inference(paramodulation,[status(thm)],[f1927,f40]) ).
fof(f2008,plain,
! [X0] : top = join(complement(X0),X0),
inference(forward_demodulation,[status(thm)],[f22,f1972]) ).
fof(f2042,plain,
! [X0] : meet(complement(X0),X0) = complement(top),
inference(paramodulation,[status(thm)],[f2008,f18]) ).
fof(f2062,plain,
! [X0] : complement(complement(X0)) = join(complement(complement(X0)),zero),
inference(backward_demodulation,[status(thm)],[f2077,f1607]) ).
fof(f2071,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(backward_demodulation,[status(thm)],[f2077,f1604]) ).
fof(f2072,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(backward_demodulation,[status(thm)],[f2077,f1603]) ).
fof(f2077,plain,
! [X0] : meet(complement(X0),X0) = zero,
inference(forward_demodulation,[status(thm)],[f382,f2042]) ).
fof(f2090,plain,
! [X0] : X0 = join(X0,complement(complement(X0))),
inference(backward_demodulation,[status(thm)],[f2163,f1532]) ).
fof(f2093,plain,
! [X0] : meet(X0,complement(complement(X0))) = X0,
inference(backward_demodulation,[status(thm)],[f2163,f1493]) ).
fof(f2112,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),complement(complement(meet(X0,X1)))),complement(meet(X0,X1))),
inference(backward_demodulation,[status(thm)],[f2163,f1837]) ).
fof(f2124,plain,
! [X0,X1] : join(X0,join(converse(converse(X0)),X1)) = join(X0,X1),
inference(backward_demodulation,[status(thm)],[f2163,f1568]) ).
fof(f2158,plain,
! [X0,X1] : join(complement(X0),complement(complement(X1))) = join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)),
inference(backward_demodulation,[status(thm)],[f2163,f962]) ).
fof(f2163,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f1024,f2062]) ).
fof(f2192,plain,
! [X0] : X0 = join(X0,zero),
inference(forward_demodulation,[status(thm)],[f2163,f2071]) ).
fof(f2209,plain,
! [X0] : X0 = join(zero,X0),
inference(forward_demodulation,[status(thm)],[f2163,f2072]) ).
fof(f2215,plain,
! [X0] : X0 = join(X0,X0),
inference(forward_demodulation,[status(thm)],[f2163,f2090]) ).
fof(f2234,plain,
! [X0,X1] : X0 = join(meet(complement(X1),X0),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f2262,f1260]) ).
fof(f2235,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(backward_demodulation,[status(thm)],[f2262,f1235]) ).
fof(f2262,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f2163,f2093]) ).
fof(f2280,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),meet(X0,X1)),complement(meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f2163,f2112]) ).
fof(f2281,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f337,f2280]) ).
fof(f2354,plain,
! [X0,X1] : meet(X0,X1) = complement(complement(meet(X1,X0))),
inference(backward_demodulation,[status(thm)],[f2437,f871]) ).
fof(f2437,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f2209,f2281]) ).
fof(f2463,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f22,f2124]) ).
fof(f2508,plain,
! [X0,X1] : complement(meet(X0,complement(X1))) = join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)),
inference(forward_demodulation,[status(thm)],[f2437,f2158]) ).
fof(f2510,plain,
! [X0,X1] : complement(meet(X0,complement(X1))) = join(complement(X0),X1),
inference(forward_demodulation,[status(thm)],[f1161,f2508]) ).
fof(f2592,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f2163,f2354]) ).
fof(f3271,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X1,X0)),
inference(paramodulation,[status(thm)],[f15,f2437]) ).
fof(f3273,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f2163,f2437]) ).
fof(f3337,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f2592,f1231]) ).
fof(f3338,plain,
! [X0,X1] : X0 = join(meet(complement(X1),X0),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f2592,f1153]) ).
fof(f3481,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(X1,complement(X0))),
inference(paramodulation,[status(thm)],[f2163,f3271]) ).
fof(f3484,plain,
! [X0,X1] : join(complement(X0),X1) = complement(meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f2163,f3271]) ).
fof(f3523,plain,
! [X0,X1] : join(meet(X0,X1),X1) = join(meet(X0,X1),meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f3337,f2463]) ).
fof(f3524,plain,
! [X0,X1] : join(meet(X0,X1),X0) = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f2235,f2463]) ).
fof(f3535,plain,
! [X0] : join(X0,top) = join(X0,complement(X0)),
inference(paramodulation,[status(thm)],[f26,f2463]) ).
fof(f3570,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(forward_demodulation,[status(thm)],[f3337,f3523]) ).
fof(f3579,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(forward_demodulation,[status(thm)],[f2235,f3524]) ).
fof(f3605,plain,
! [X0] : join(X0,top) = top,
inference(forward_demodulation,[status(thm)],[f26,f3535]) ).
fof(f3643,plain,
converse(top) = top,
inference(paramodulation,[status(thm)],[f1985,f3605]) ).
fof(f3659,plain,
! [X0] : top = join(converse(complement(converse(X0))),X0),
inference(backward_demodulation,[status(thm)],[f3643,f1985]) ).
fof(f3817,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f15,f3570]) ).
fof(f3833,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(X1,X2)) = join(X1,X2),
inference(paramodulation,[status(thm)],[f3570,f16]) ).
fof(f3848,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f2592,f3817]) ).
fof(f3881,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(X0,X2)) = join(X0,X2),
inference(paramodulation,[status(thm)],[f3579,f16]) ).
fof(f4049,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(paramodulation,[status(thm)],[f2215,f924]) ).
fof(f4096,plain,
! [X0,X1] : X0 = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f35,f4049]) ).
fof(f4322,plain,
! [X0,X1] : X0 = join(X0,complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f15,f4096]) ).
fof(f4451,plain,
! [X0,X1] : complement(X0) = complement(meet(X0,join(X1,complement(complement(X0))))),
inference(paramodulation,[status(thm)],[f2437,f4322]) ).
fof(f4498,plain,
! [X0,X1] : complement(X0) = complement(meet(X0,join(X1,X0))),
inference(forward_demodulation,[status(thm)],[f2163,f4451]) ).
fof(f4682,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = meet(X0,complement(X1)),
inference(paramodulation,[status(thm)],[f2510,f2163]) ).
fof(f4769,plain,
! [X0,X1,X2] : join(meet(complement(X0),X1),complement(X2)) = complement(meet(join(X0,complement(X1)),X2)),
inference(paramodulation,[status(thm)],[f3273,f3273]) ).
fof(f4776,plain,
! [X0,X1,X2] : meet(complement(X0),X1) = join(meet(complement(X0),X1),complement(join(X2,join(X0,complement(X1))))),
inference(paramodulation,[status(thm)],[f3273,f4322]) ).
fof(f4847,plain,
! [X0,X1,X2] : meet(complement(X0),X1) = complement(meet(join(X0,complement(X1)),join(X2,join(X0,complement(X1))))),
inference(forward_demodulation,[status(thm)],[f4769,f4776]) ).
fof(f4858,plain,
! [X0,X1] : meet(complement(X0),X1) = complement(join(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f4498,f4847]) ).
fof(f4920,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(X1,complement(X0)),
inference(paramodulation,[status(thm)],[f3481,f2163]) ).
fof(f5547,plain,
! [X0,X1] : complement(complement(X0)) = meet(X0,complement(meet(complement(X0),X1))),
inference(paramodulation,[status(thm)],[f3848,f4682]) ).
fof(f5604,plain,
! [X0,X1] : X0 = meet(X0,complement(meet(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f2163,f5547]) ).
fof(f5605,plain,
! [X0,X1] : X0 = meet(X0,join(complement(X1),X0)),
inference(forward_demodulation,[status(thm)],[f3484,f5604]) ).
fof(f5685,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f2163,f5605]) ).
fof(f6090,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X1),
inference(paramodulation,[status(thm)],[f3338,f5685]) ).
fof(f6091,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(paramodulation,[status(thm)],[f2234,f5685]) ).
fof(f6103,plain,
! [X0,X1] : converse(X0) = meet(converse(X0),converse(join(X0,X1))),
inference(paramodulation,[status(thm)],[f831,f5685]) ).
fof(f6133,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f5685,f3570]) ).
fof(f6163,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f2592,f6090]) ).
fof(f6218,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = meet(join(X1,X0),X0),
inference(paramodulation,[status(thm)],[f5685,f6163]) ).
fof(f6222,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f2592,f6163]) ).
fof(f6254,plain,
! [X0,X1] : X0 = meet(join(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f5685,f6218]) ).
fof(f6269,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f2592,f6091]) ).
fof(f6924,plain,
! [X0,X1] : X0 = meet(join(X0,X1),X0),
inference(paramodulation,[status(thm)],[f15,f6254]) ).
fof(f7228,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(join(X0,X2),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f3881,f6924]) ).
fof(f7229,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(join(X1,X2),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f3833,f6924]) ).
fof(f7294,plain,
! [X0,X1] : join(X0,complement(X1)) = join(meet(X1,X0),complement(X1)),
inference(backward_demodulation,[status(thm)],[f7229,f1162]) ).
fof(f7340,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X1),complement(X0)),
inference(paramodulation,[status(thm)],[f2163,f4920]) ).
fof(f7778,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f15,f6133]) ).
fof(f9345,plain,
! [X0,X1] : converse(meet(X0,X1)) = meet(converse(meet(X0,X1)),converse(X1)),
inference(paramodulation,[status(thm)],[f3337,f6103]) ).
fof(f11666,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(join(X2,X0),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f7778,f7228]) ).
fof(f11883,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(join(X2,X1),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f7778,f7229]) ).
fof(f12202,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(X1,X2)) = join(X2,X1),
inference(paramodulation,[status(thm)],[f3570,f906]) ).
fof(f15894,plain,
! [X0,X1,X2] : meet(X0,meet(X0,X1)) = meet(join(X2,X0),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f6222,f11666]) ).
fof(f15997,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(join(X2,X0),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f6269,f15894]) ).
fof(f21620,plain,
! [X0,X1] : join(X0,complement(complement(X1))) = join(meet(complement(X1),X0),X1),
inference(paramodulation,[status(thm)],[f2163,f7294]) ).
fof(f21777,plain,
! [X0,X1] : join(X0,X1) = join(meet(complement(X1),X0),X1),
inference(forward_demodulation,[status(thm)],[f2163,f21620]) ).
fof(f21948,plain,
! [X0,X1] : join(meet(complement(X0),X1),join(X1,X0)) = join(X0,meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f21777,f7778]) ).
fof(f22038,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f12202,f21948]) ).
fof(f22291,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,X0))),
inference(paramodulation,[status(thm)],[f7340,f22038]) ).
fof(f25576,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = join(X0,complement(top)),
inference(paramodulation,[status(thm)],[f3659,f22291]) ).
fof(f25851,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = join(X0,zero),
inference(forward_demodulation,[status(thm)],[f382,f25576]) ).
fof(f25852,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f2192,f25851]) ).
fof(f26302,plain,
! [X0] : complement(X0) = meet(converse(complement(converse(X0))),complement(X0)),
inference(paramodulation,[status(thm)],[f25852,f4920]) ).
fof(f26303,plain,
! [X0] : meet(complement(X0),converse(complement(converse(X0)))) = complement(X0),
inference(paramodulation,[status(thm)],[f25852,f4858]) ).
fof(f32614,plain,
! [X0] : complement(converse(X0)) = meet(converse(complement(X0)),complement(converse(X0))),
inference(paramodulation,[status(thm)],[f22,f26302]) ).
fof(f37950,plain,
! [X0,X1,X2] : converse(meet(join(X0,X1),meet(X2,X1))) = meet(converse(meet(X2,X1)),converse(meet(X2,X1))),
inference(paramodulation,[status(thm)],[f11883,f9345]) ).
fof(f37974,plain,
! [X0] : converse(meet(complement(X0),converse(complement(converse(X0))))) = meet(converse(complement(X0)),converse(converse(complement(converse(X0))))),
inference(paramodulation,[status(thm)],[f26303,f9345]) ).
fof(f38114,plain,
! [X0,X1] : converse(meet(X0,X1)) = meet(converse(meet(X1,X0)),converse(meet(X1,X0))),
inference(forward_demodulation,[status(thm)],[f15997,f37950]) ).
fof(f38115,plain,
! [X0,X1] : converse(meet(X0,X1)) = converse(meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f2262,f38114]) ).
fof(f38149,plain,
! [X0] : converse(complement(X0)) = meet(converse(complement(X0)),converse(converse(complement(converse(X0))))),
inference(forward_demodulation,[status(thm)],[f26303,f37974]) ).
fof(f38150,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(backward_demodulation,[status(thm)],[f38151,f32614]) ).
fof(f38151,plain,
! [X0] : converse(complement(X0)) = meet(converse(complement(X0)),complement(converse(X0))),
inference(forward_demodulation,[status(thm)],[f22,f38149]) ).
fof(f39886,plain,
! [X0,X1] : join(complement(X0),converse(complement(X1))) = complement(meet(converse(X1),X0)),
inference(paramodulation,[status(thm)],[f38150,f3271]) ).
fof(f81136,plain,
! [X0,X1] : join(converse(complement(X0)),converse(complement(X1))) = complement(meet(converse(X1),converse(X0))),
inference(paramodulation,[status(thm)],[f38150,f39886]) ).
fof(f81264,plain,
! [X0,X1] : converse(join(complement(X0),complement(X1))) = complement(meet(converse(X0),converse(X1))),
inference(forward_demodulation,[status(thm)],[f831,f81136]) ).
fof(f81265,plain,
! [X0,X1] : converse(complement(meet(X0,X1))) = complement(meet(converse(X1),converse(X0))),
inference(forward_demodulation,[status(thm)],[f3271,f81264]) ).
fof(f85148,plain,
! [X0,X1] : complement(converse(complement(meet(X0,X1)))) = meet(converse(X1),converse(X0)),
inference(paramodulation,[status(thm)],[f81265,f2163]) ).
fof(f85287,plain,
! [X0,X1] : converse(complement(complement(meet(X0,X1)))) = meet(converse(X1),converse(X0)),
inference(forward_demodulation,[status(thm)],[f38150,f85148]) ).
fof(f85294,plain,
converse(meet(sk1,sk2)) != converse(meet(sk2,sk1)),
inference(backward_demodulation,[status(thm)],[f85513,f28]) ).
fof(f85513,plain,
! [X0,X1] : converse(meet(X0,X1)) = meet(converse(X1),converse(X0)),
inference(forward_demodulation,[status(thm)],[f2163,f85287]) ).
fof(f85551,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f85294,f38115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL005-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.58 % Computer : n026.cluster.edu
% 0.09/0.58 % Model : x86_64 x86_64
% 0.09/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.58 % Memory : 8046.5625MB
% 0.09/0.58 % OS : Linux 6.8.0-71-generic
% 0.09/0.58 % CPULimit : 300
% 0.09/0.58 % WCLimit : 300
% 0.09/0.58 % DateTime : Mon Sep 21 04:00:23 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.09/0.59 % Drodi V4.1.1
% 126.05/16.92 % Refutation found
% 126.05/16.92 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 126.05/16.92 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 91.84/18.12 % Elapsed time: 17.319449 seconds
% 91.84/18.12 % CPU time: 126.506943 seconds
% 91.84/18.12 % Total memory used: 549.796 MB
% 91.84/18.12 % Net memory used: 522.197 MB
%------------------------------------------------------------------------------