TSTP Solution File: REL031+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : REL031+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 : Tue Apr 30 20:37:31 EDT 2024
% Result : Theorem 2.56s 0.77s
% Output : CNFRefutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 47 unt; 0 def)
% Number of atoms : 59 ( 58 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 5 ~; 0 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 68 ( 66 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,conjecture,
! [X0,X1] :
( ( join(composition(converse(X0),X0),one) = one
& join(composition(converse(X1),X1),one) = one )
=> join(composition(converse(composition(X0,X1)),composition(X0,X1)),one) = one ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( ( join(composition(converse(X0),X0),one) = one
& join(composition(converse(X1),X1),one) = one )
=> join(composition(converse(composition(X0,X1)),composition(X0,X1)),one) = one ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f17,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f20,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f21,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f22,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f23,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f24,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f25,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f29,plain,
? [X0,X1] :
( join(composition(converse(X0),X0),one) = one
& join(composition(converse(X1),X1),one) = one
& join(composition(converse(composition(X0,X1)),composition(X0,X1)),one) != one ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f30,plain,
( join(composition(converse(sk0_0),sk0_0),one) = one
& join(composition(converse(sk0_1),sk0_1),one) = one
& join(composition(converse(composition(sk0_0,sk0_1)),composition(sk0_0,sk0_1)),one) != one ),
inference(skolemization,[status(esa)],[f29]) ).
fof(f31,plain,
join(composition(converse(sk0_0),sk0_0),one) = one,
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f32,plain,
join(composition(converse(sk0_1),sk0_1),one) = one,
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f33,plain,
join(composition(converse(composition(sk0_0,sk0_1)),composition(sk0_0,sk0_1)),one) != one,
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f36,plain,
join(one,composition(converse(sk0_0),sk0_0)) = one,
inference(forward_demodulation,[status(thm)],[f16,f31]) ).
fof(f37,plain,
join(one,composition(converse(sk0_1),sk0_1)) = one,
inference(forward_demodulation,[status(thm)],[f16,f32]) ).
fof(f38,plain,
join(one,composition(converse(composition(sk0_0,sk0_1)),composition(sk0_0,sk0_1))) != one,
inference(forward_demodulation,[status(thm)],[f16,f33]) ).
fof(f41,plain,
! [X0,X1] : converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f42,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f47,plain,
! [X0,X1,X2] : composition(converse(X0),composition(converse(X1),X2)) = composition(converse(composition(X1,X0)),X2),
inference(paramodulation,[status(thm)],[f25,f20]) ).
fof(f48,plain,
! [X0,X1] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(paramodulation,[status(thm)],[f21,f20]) ).
fof(f61,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f88,plain,
! [X0] : join(one,join(composition(converse(sk0_1),sk0_1),X0)) = join(one,X0),
inference(paramodulation,[status(thm)],[f37,f17]) ).
fof(f122,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f21,f42]) ).
fof(f123,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f23,f122]) ).
fof(f145,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f48,f123]) ).
fof(f146,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[status(thm)],[f123,f145]) ).
fof(f166,plain,
! [X0,X1] : composition(join(one,X0),X1) = join(X1,composition(X0,X1)),
inference(paramodulation,[status(thm)],[f146,f22]) ).
fof(f467,plain,
! [X0] : composition(one,X0) = join(X0,composition(composition(converse(sk0_0),sk0_0),X0)),
inference(paramodulation,[status(thm)],[f36,f166]) ).
fof(f468,plain,
! [X0] : X0 = join(X0,composition(composition(converse(sk0_0),sk0_0),X0)),
inference(forward_demodulation,[status(thm)],[f146,f467]) ).
fof(f469,plain,
! [X0] : X0 = join(X0,composition(converse(sk0_0),composition(sk0_0,X0))),
inference(forward_demodulation,[status(thm)],[f20,f468]) ).
fof(f699,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(sk0_0),composition(sk0_0,converse(X0))))),
inference(paramodulation,[status(thm)],[f469,f61]) ).
fof(f700,plain,
! [X0] : X0 = join(X0,converse(composition(converse(sk0_0),composition(sk0_0,converse(X0))))),
inference(forward_demodulation,[status(thm)],[f23,f699]) ).
fof(f701,plain,
! [X0] : X0 = join(X0,composition(converse(composition(sk0_0,converse(X0))),sk0_0)),
inference(forward_demodulation,[status(thm)],[f42,f700]) ).
fof(f702,plain,
! [X0] : X0 = join(X0,composition(composition(X0,converse(sk0_0)),sk0_0)),
inference(forward_demodulation,[status(thm)],[f41,f701]) ).
fof(f703,plain,
! [X0] : X0 = join(X0,composition(X0,composition(converse(sk0_0),sk0_0))),
inference(forward_demodulation,[status(thm)],[f20,f702]) ).
fof(f762,plain,
! [X0] : converse(X0) = join(converse(X0),composition(converse(composition(sk0_0,X0)),sk0_0)),
inference(paramodulation,[status(thm)],[f47,f703]) ).
fof(f896,plain,
! [X0] : join(one,composition(join(converse(sk0_1),X0),sk0_1)) = join(one,composition(X0,sk0_1)),
inference(paramodulation,[status(thm)],[f22,f88]) ).
fof(f2996,plain,
join(one,composition(converse(sk0_1),sk0_1)) = join(one,composition(composition(converse(composition(sk0_0,sk0_1)),sk0_0),sk0_1)),
inference(paramodulation,[status(thm)],[f762,f896]) ).
fof(f2997,plain,
one = join(one,composition(composition(converse(composition(sk0_0,sk0_1)),sk0_0),sk0_1)),
inference(forward_demodulation,[status(thm)],[f37,f2996]) ).
fof(f2998,plain,
one = join(one,composition(converse(composition(sk0_0,sk0_1)),composition(sk0_0,sk0_1))),
inference(forward_demodulation,[status(thm)],[f20,f2997]) ).
fof(f2999,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2998,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : REL031+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.35 % Computer : n011.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Apr 29 21:09:16 EDT 2024
% 0.11/0.35 % CPUTime :
% 0.11/0.36 % Drodi V3.6.0
% 2.56/0.77 % Refutation found
% 2.56/0.77 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.56/0.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.30/0.80 % Elapsed time: 0.445626 seconds
% 3.30/0.80 % CPU time: 3.354802 seconds
% 3.30/0.80 % Total memory used: 63.381 MB
% 3.30/0.80 % Net memory used: 62.021 MB
%------------------------------------------------------------------------------