%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL045-2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 02:03:28 PM UTC 2026
% Result : Unsatisfiable 26.01s 3.93s
% Output : CNFRefutation 25.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 15
% Syntax : Number of formulae : 141 ( 141 unt; 0 def)
% Number of atoms : 141 ( 140 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 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 : 185 ( 185 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : meet(A,B) = complement(join(complement(A),complement(B))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : composition(A,composition(B,C)) = composition(composition(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : composition(A,one) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : converse(converse(A)) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : converse(join(A,B)) = join(converse(A),converse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] : converse(composition(A,B)) = composition(converse(B),converse(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] : join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] : top = join(A,complement(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] : zero = meet(A,complement(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B,C] : join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
join(sk1,composition(composition(sk1,converse(sk1)),sk1)) != composition(composition(sk1,converse(sk1)),sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f19,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f20,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f21,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f22,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f24,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f28,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f31,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(f34,plain,
join(sk1,composition(composition(sk1,converse(sk1)),sk1)) != composition(composition(sk1,converse(sk1)),sk1),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f42,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f18,f20]) ).
fof(f43,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f21,f42]) ).
fof(f44,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f18,f28]) ).
fof(f45,plain,
join(sk1,composition(sk1,composition(converse(sk1),sk1))) != composition(composition(sk1,converse(sk1)),sk1),
inference(forward_demodulation,[status(thm)],[f22,f34]) ).
fof(f46,plain,
join(sk1,composition(sk1,composition(converse(sk1),sk1))) != composition(sk1,composition(converse(sk1),sk1)),
inference(forward_demodulation,[status(thm)],[f22,f45]) ).
fof(f47,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f18,f43]) ).
fof(f56,plain,
! [X0,X1] : converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f57,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f85,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f25,f26]) ).
fof(f206,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f18,f47]) ).
fof(f208,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)) = join(X0,X2),
inference(paramodulation,[status(thm)],[f47,f19]) ).
fof(f730,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f23,f57]) ).
fof(f740,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f25,f730]) ).
fof(f749,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f23,f740]) ).
fof(f751,plain,
! [X0] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f740,f44]) ).
fof(f759,plain,
! [X0,X1] : composition(join(converse(one),X0),X1) = join(X1,composition(X0,X1)),
inference(paramodulation,[status(thm)],[f740,f24]) ).
fof(f761,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f749,f740]) ).
fof(f768,plain,
! [X0,X1] : composition(join(one,X0),X1) = join(X1,composition(X0,X1)),
inference(forward_demodulation,[status(thm)],[f749,f759]) ).
fof(f770,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f761,f751]) ).
fof(f788,plain,
! [X0] : converse(join(one,X0)) = join(one,converse(X0)),
inference(paramodulation,[status(thm)],[f749,f85]) ).
fof(f848,plain,
! [X0] : X0 = join(meet(X0,complement(X0)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f770,f47]) ).
fof(f857,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f18,f848]) ).
fof(f858,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f30,f857]) ).
fof(f859,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f18,f858]) ).
fof(f889,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f770,f21]) ).
fof(f890,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f29,f21]) ).
fof(f891,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f18,f21]) ).
fof(f895,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f21,f47]) ).
fof(f896,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f21,f206]) ).
fof(f910,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f30,f890]) ).
fof(f916,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f21,f891]) ).
fof(f918,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f18,f895]) ).
fof(f919,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f18,f896]) ).
fof(f941,plain,
! [X0] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top),
inference(paramodulation,[status(thm)],[f910,f44]) ).
fof(f954,plain,
! [X0] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(forward_demodulation,[status(thm)],[f910,f941]) ).
fof(f989,plain,
meet(top,top) = complement(zero),
inference(paramodulation,[status(thm)],[f910,f889]) ).
fof(f1000,plain,
! [X0] : top = join(complement(X0),meet(X0,X0)),
inference(paramodulation,[status(thm)],[f889,f29]) ).
fof(f1027,plain,
! [X0,X1] : join(meet(X0,X1),composition(meet(X0,composition(X1,converse(one))),meet(one,composition(converse(X0),X1)))) = composition(meet(X0,composition(X1,converse(one))),meet(one,composition(converse(X0),X1))),
inference(paramodulation,[status(thm)],[f23,f31]) ).
fof(f1043,plain,
! [X0,X1,X2] : join(meet(composition(X0,converse(X1)),X2),composition(meet(X0,composition(X2,X1)),meet(converse(X1),composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(converse(X1)))),meet(converse(X1),composition(converse(X0),X2))),
inference(paramodulation,[status(thm)],[f25,f31]) ).
fof(f1084,plain,
! [X0,X1] : join(meet(X0,X1),composition(meet(X0,composition(X1,one)),meet(one,composition(converse(X0),X1)))) = composition(meet(X0,composition(X1,converse(one))),meet(one,composition(converse(X0),X1))),
inference(forward_demodulation,[status(thm)],[f749,f1027]) ).
fof(f1085,plain,
! [X0,X1] : join(meet(X0,X1),composition(meet(X0,X1),meet(one,composition(converse(X0),X1)))) = composition(meet(X0,composition(X1,converse(one))),meet(one,composition(converse(X0),X1))),
inference(forward_demodulation,[status(thm)],[f23,f1084]) ).
fof(f1086,plain,
! [X0,X1] : join(meet(X0,X1),composition(meet(X0,X1),meet(one,composition(converse(X0),X1)))) = composition(meet(X0,composition(X1,one)),meet(one,composition(converse(X0),X1))),
inference(forward_demodulation,[status(thm)],[f749,f1085]) ).
fof(f1087,plain,
! [X0,X1] : join(meet(X0,X1),composition(meet(X0,X1),meet(one,composition(converse(X0),X1)))) = composition(meet(X0,X1),meet(one,composition(converse(X0),X1))),
inference(forward_demodulation,[status(thm)],[f23,f1086]) ).
fof(f1111,plain,
! [X0,X1,X2] : join(meet(composition(X0,converse(X1)),X2),composition(meet(X0,composition(X2,X1)),meet(converse(X1),composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,X1)),meet(converse(X1),composition(converse(X0),X2))),
inference(forward_demodulation,[status(thm)],[f25,f1043]) ).
fof(f1298,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(paramodulation,[status(thm)],[f770,f208]) ).
fof(f1349,plain,
! [X0,X1] : X0 = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f47,f1298]) ).
fof(f1430,plain,
! [X0] : X0 = join(meet(X0,meet(X0,X0)),complement(top)),
inference(paramodulation,[status(thm)],[f1000,f47]) ).
fof(f1446,plain,
! [X0] : X0 = join(complement(top),meet(X0,meet(X0,X0))),
inference(forward_demodulation,[status(thm)],[f18,f1430]) ).
fof(f1447,plain,
! [X0] : X0 = join(zero,meet(X0,meet(X0,X0))),
inference(forward_demodulation,[status(thm)],[f910,f1446]) ).
fof(f1452,plain,
top = join(zero,meet(top,complement(zero))),
inference(paramodulation,[status(thm)],[f989,f1447]) ).
fof(f1497,plain,
! [X0] : X0 = join(meet(X0,top),meet(X0,zero)),
inference(paramodulation,[status(thm)],[f910,f918]) ).
fof(f1631,plain,
! [X0] : X0 = join(meet(top,X0),meet(X0,zero)),
inference(paramodulation,[status(thm)],[f916,f1497]) ).
fof(f1634,plain,
! [X0] : X0 = join(meet(X0,top),meet(zero,X0)),
inference(paramodulation,[status(thm)],[f916,f1497]) ).
fof(f1656,plain,
complement(zero) = join(meet(complement(zero),top),zero),
inference(paramodulation,[status(thm)],[f30,f1634]) ).
fof(f1676,plain,
complement(zero) = join(zero,meet(complement(zero),top)),
inference(forward_demodulation,[status(thm)],[f18,f1656]) ).
fof(f1677,plain,
complement(zero) = join(zero,meet(top,complement(zero))),
inference(forward_demodulation,[status(thm)],[f916,f1676]) ).
fof(f1680,plain,
complement(zero) = top,
inference(forward_demodulation,[status(thm)],[f1452,f1677]) ).
fof(f1689,plain,
! [X0] : meet(X0,zero) = complement(join(complement(X0),top)),
inference(paramodulation,[status(thm)],[f1680,f21]) ).
fof(f1698,plain,
! [X0] : zero = join(meet(zero,X0),complement(join(X0,top))),
inference(paramodulation,[status(thm)],[f1680,f206]) ).
fof(f1699,plain,
! [X0] : zero = join(meet(zero,X0),complement(join(top,X0))),
inference(paramodulation,[status(thm)],[f1680,f47]) ).
fof(f1705,plain,
! [X0] : meet(X0,zero) = complement(join(top,complement(X0))),
inference(forward_demodulation,[status(thm)],[f18,f1689]) ).
fof(f1786,plain,
! [X0] : X0 = join(meet(X0,zero),meet(top,X0)),
inference(paramodulation,[status(thm)],[f18,f1631]) ).
fof(f1883,plain,
! [X0] : X0 = join(X0,complement(top)),
inference(paramodulation,[status(thm)],[f1000,f1349]) ).
fof(f1896,plain,
! [X0] : zero = join(zero,complement(join(top,X0))),
inference(paramodulation,[status(thm)],[f1680,f1349]) ).
fof(f1922,plain,
! [X0] : X0 = join(X0,zero),
inference(forward_demodulation,[status(thm)],[f910,f1883]) ).
fof(f1941,plain,
! [X0] : X0 = join(zero,X0),
inference(paramodulation,[status(thm)],[f18,f1922]) ).
fof(f1963,plain,
! [X0] : X0 = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f1941,f859]) ).
fof(f1968,plain,
! [X0] : composition(converse(X0),complement(composition(X0,top))) = zero,
inference(backward_demodulation,[status(thm)],[f1941,f954]) ).
fof(f1971,plain,
! [X0] : zero = complement(join(top,X0)),
inference(backward_demodulation,[status(thm)],[f1941,f1896]) ).
fof(f2029,plain,
! [X0] : meet(X0,zero) = zero,
inference(backward_demodulation,[status(thm)],[f1971,f1705]) ).
fof(f2030,plain,
! [X0] : zero = join(meet(zero,X0),zero),
inference(backward_demodulation,[status(thm)],[f1971,f1699]) ).
fof(f2091,plain,
! [X0] : X0 = join(zero,meet(top,X0)),
inference(backward_demodulation,[status(thm)],[f2029,f1786]) ).
fof(f2102,plain,
! [X0] : zero = join(zero,complement(join(X0,top))),
inference(backward_demodulation,[status(thm)],[f2103,f1698]) ).
fof(f2103,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[status(thm)],[f1922,f2030]) ).
fof(f2144,plain,
! [X0] : X0 = meet(top,X0),
inference(forward_demodulation,[status(thm)],[f1941,f2091]) ).
fof(f2160,plain,
! [X0] : zero = complement(join(X0,top)),
inference(forward_demodulation,[status(thm)],[f1941,f2102]) ).
fof(f2702,plain,
! [X0] : join(X0,top) = complement(zero),
inference(paramodulation,[status(thm)],[f2160,f1963]) ).
fof(f2719,plain,
! [X0] : join(X0,top) = top,
inference(forward_demodulation,[status(thm)],[f1680,f2702]) ).
fof(f2757,plain,
! [X0] : join(top,X0) = top,
inference(paramodulation,[status(thm)],[f18,f2719]) ).
fof(f2765,plain,
! [X0] : converse(top) = join(X0,converse(top)),
inference(paramodulation,[status(thm)],[f2719,f85]) ).
fof(f2955,plain,
converse(top) = top,
inference(paramodulation,[status(thm)],[f2757,f2765]) ).
fof(f4590,plain,
! [X0] : composition(join(one,converse(X0)),complement(composition(join(one,X0),top))) = zero,
inference(paramodulation,[status(thm)],[f788,f1968]) ).
fof(f4624,plain,
! [X0] : composition(join(one,converse(X0)),complement(join(top,composition(X0,top)))) = zero,
inference(forward_demodulation,[status(thm)],[f768,f4590]) ).
fof(f4625,plain,
! [X0] : composition(join(one,converse(X0)),complement(top)) = zero,
inference(forward_demodulation,[status(thm)],[f2757,f4624]) ).
fof(f4626,plain,
! [X0] : composition(join(one,converse(X0)),zero) = zero,
inference(forward_demodulation,[status(thm)],[f910,f4625]) ).
fof(f4627,plain,
! [X0] : join(zero,composition(converse(X0),zero)) = zero,
inference(forward_demodulation,[status(thm)],[f768,f4626]) ).
fof(f4629,plain,
! [X0] : composition(converse(X0),zero) = zero,
inference(forward_demodulation,[status(thm)],[f1941,f4627]) ).
fof(f4693,plain,
! [X0,X1] : composition(composition(X0,converse(X1)),zero) = zero,
inference(paramodulation,[status(thm)],[f56,f4629]) ).
fof(f4718,plain,
! [X0,X1] : composition(X0,composition(converse(X1),zero)) = zero,
inference(forward_demodulation,[status(thm)],[f22,f4693]) ).
fof(f4731,plain,
! [X0] : composition(X0,zero) = zero,
inference(forward_demodulation,[status(thm)],[f4629,f4718]) ).
fof(f8006,plain,
! [X0] : join(meet(X0,complement(composition(X0,top))),composition(meet(X0,complement(composition(X0,top))),meet(one,zero))) = composition(meet(X0,complement(composition(X0,top))),meet(one,composition(converse(X0),complement(composition(X0,top))))),
inference(paramodulation,[status(thm)],[f1968,f1087]) ).
fof(f8123,plain,
! [X0] : join(meet(X0,complement(composition(X0,top))),composition(meet(X0,complement(composition(X0,top))),zero)) = composition(meet(X0,complement(composition(X0,top))),meet(one,composition(converse(X0),complement(composition(X0,top))))),
inference(forward_demodulation,[status(thm)],[f2029,f8006]) ).
fof(f8124,plain,
! [X0] : join(meet(X0,complement(composition(X0,top))),zero) = composition(meet(X0,complement(composition(X0,top))),meet(one,composition(converse(X0),complement(composition(X0,top))))),
inference(forward_demodulation,[status(thm)],[f4731,f8123]) ).
fof(f8125,plain,
! [X0] : meet(X0,complement(composition(X0,top))) = composition(meet(X0,complement(composition(X0,top))),meet(one,composition(converse(X0),complement(composition(X0,top))))),
inference(forward_demodulation,[status(thm)],[f1922,f8124]) ).
fof(f8126,plain,
! [X0] : meet(X0,complement(composition(X0,top))) = composition(meet(X0,complement(composition(X0,top))),meet(one,zero)),
inference(forward_demodulation,[status(thm)],[f1968,f8125]) ).
fof(f8127,plain,
! [X0] : meet(X0,complement(composition(X0,top))) = composition(meet(X0,complement(composition(X0,top))),zero),
inference(forward_demodulation,[status(thm)],[f2029,f8126]) ).
fof(f8128,plain,
! [X0] : meet(X0,complement(composition(X0,top))) = zero,
inference(forward_demodulation,[status(thm)],[f4731,f8127]) ).
fof(f8204,plain,
! [X0] : X0 = join(meet(composition(X0,top),X0),zero),
inference(paramodulation,[status(thm)],[f8128,f919]) ).
fof(f8233,plain,
! [X0] : X0 = meet(composition(X0,top),X0),
inference(forward_demodulation,[status(thm)],[f1922,f8204]) ).
fof(f8234,plain,
! [X0] : X0 = meet(X0,composition(X0,top)),
inference(forward_demodulation,[status(thm)],[f916,f8233]) ).
fof(f10823,plain,
! [X0] : join(meet(composition(X0,converse(top)),X0),composition(X0,meet(converse(top),composition(converse(X0),X0)))) = composition(meet(X0,composition(X0,top)),meet(converse(top),composition(converse(X0),X0))),
inference(paramodulation,[status(thm)],[f8234,f1111]) ).
fof(f10984,plain,
! [X0] : join(meet(X0,composition(X0,converse(top))),composition(X0,meet(converse(top),composition(converse(X0),X0)))) = composition(meet(X0,composition(X0,top)),meet(converse(top),composition(converse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f916,f10823]) ).
fof(f10985,plain,
! [X0] : join(meet(X0,composition(X0,top)),composition(X0,meet(converse(top),composition(converse(X0),X0)))) = composition(meet(X0,composition(X0,top)),meet(converse(top),composition(converse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f2955,f10984]) ).
fof(f10986,plain,
! [X0] : join(X0,composition(X0,meet(converse(top),composition(converse(X0),X0)))) = composition(meet(X0,composition(X0,top)),meet(converse(top),composition(converse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f8234,f10985]) ).
fof(f10987,plain,
! [X0] : join(X0,composition(X0,meet(top,composition(converse(X0),X0)))) = composition(meet(X0,composition(X0,top)),meet(converse(top),composition(converse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f2955,f10986]) ).
fof(f10988,plain,
! [X0] : join(X0,composition(X0,composition(converse(X0),X0))) = composition(meet(X0,composition(X0,top)),meet(converse(top),composition(converse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f2144,f10987]) ).
fof(f10989,plain,
! [X0] : join(X0,composition(X0,composition(converse(X0),X0))) = composition(X0,meet(converse(top),composition(converse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f8234,f10988]) ).
fof(f10990,plain,
! [X0] : join(X0,composition(X0,composition(converse(X0),X0))) = composition(X0,meet(top,composition(converse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f2955,f10989]) ).
fof(f10991,plain,
composition(sk1,composition(converse(sk1),sk1)) != composition(sk1,composition(converse(sk1),sk1)),
inference(backward_demodulation,[status(thm)],[f10992,f46]) ).
fof(f10992,plain,
! [X0] : join(X0,composition(X0,composition(converse(X0),X0))) = composition(X0,composition(converse(X0),X0)),
inference(forward_demodulation,[status(thm)],[f2144,f10990]) ).
fof(f11177,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f10991]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL045-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.49 % Computer : n020.cluster.edu
% 0.17/0.49 % Model : x86_64 x86_64
% 0.17/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.49 % Memory : 8046.5625MB
% 0.17/0.49 % OS : Linux 6.8.0-71-generic
% 0.17/0.49 % CPULimit : 300
% 0.17/0.49 % WCLimit : 300
% 0.17/0.49 % DateTime : Mon Sep 21 04:09:18 UTC 2026
% 0.17/0.49 % CPUTime :
% 0.17/0.51 % Drodi V4.1.1
% 26.01/3.93 % Refutation found
% 26.01/3.93 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 26.01/3.93 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.25/4.05 % Elapsed time: 3.534309 seconds
% 4.25/4.05 % CPU time: 27.325842 seconds
% 4.25/4.05 % Total memory used: 278.907 MB
% 4.25/4.05 % Net memory used: 271.974 MB
%------------------------------------------------------------------------------