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 : n014.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 : Unsatisfiable 3.15s 0.77s
% Output : CNFRefutation 3.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 51 ( 51 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 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(f5,axiom,
! [A,B,C] : composition(A,composition(B,C)) = composition(composition(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : composition(A,one) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
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(f14,negated_conjecture,
join(composition(converse(sk1),sk1),one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
join(composition(converse(sk2),sk2),one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one) != one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f18,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f21,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f22,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f23,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f24,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f25,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f26,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f30,plain,
join(composition(converse(sk1),sk1),one) = one,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f31,plain,
join(composition(converse(sk2),sk2),one) = one,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f32,plain,
join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one) != one,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f35,plain,
join(one,composition(converse(sk1),sk1)) = one,
inference(forward_demodulation,[status(thm)],[f17,f30]) ).
fof(f36,plain,
join(one,composition(converse(sk2),sk2)) = one,
inference(forward_demodulation,[status(thm)],[f17,f31]) ).
fof(f37,plain,
join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))) != one,
inference(forward_demodulation,[status(thm)],[f17,f32]) ).
fof(f40,plain,
! [X0,X1] : converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(paramodulation,[status(thm)],[f24,f26]) ).
fof(f41,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f24,f26]) ).
fof(f46,plain,
! [X0,X1,X2] : composition(converse(X0),composition(converse(X1),X2)) = composition(converse(composition(X1,X0)),X2),
inference(paramodulation,[status(thm)],[f26,f21]) ).
fof(f47,plain,
! [X0,X1] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(paramodulation,[status(thm)],[f22,f21]) ).
fof(f60,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f24,f25]) ).
fof(f87,plain,
! [X0] : join(one,join(composition(converse(sk2),sk2),X0)) = join(one,X0),
inference(paramodulation,[status(thm)],[f36,f18]) ).
fof(f121,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f22,f41]) ).
fof(f122,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f24,f121]) ).
fof(f144,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f47,f122]) ).
fof(f145,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[status(thm)],[f122,f144]) ).
fof(f165,plain,
! [X0,X1] : composition(join(one,X0),X1) = join(X1,composition(X0,X1)),
inference(paramodulation,[status(thm)],[f145,f23]) ).
fof(f466,plain,
! [X0] : composition(one,X0) = join(X0,composition(composition(converse(sk1),sk1),X0)),
inference(paramodulation,[status(thm)],[f35,f165]) ).
fof(f467,plain,
! [X0] : X0 = join(X0,composition(composition(converse(sk1),sk1),X0)),
inference(forward_demodulation,[status(thm)],[f145,f466]) ).
fof(f468,plain,
! [X0] : X0 = join(X0,composition(converse(sk1),composition(sk1,X0))),
inference(forward_demodulation,[status(thm)],[f21,f467]) ).
fof(f698,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(sk1),composition(sk1,converse(X0))))),
inference(paramodulation,[status(thm)],[f468,f60]) ).
fof(f699,plain,
! [X0] : X0 = join(X0,converse(composition(converse(sk1),composition(sk1,converse(X0))))),
inference(forward_demodulation,[status(thm)],[f24,f698]) ).
fof(f700,plain,
! [X0] : X0 = join(X0,composition(converse(composition(sk1,converse(X0))),sk1)),
inference(forward_demodulation,[status(thm)],[f41,f699]) ).
fof(f701,plain,
! [X0] : X0 = join(X0,composition(composition(X0,converse(sk1)),sk1)),
inference(forward_demodulation,[status(thm)],[f40,f700]) ).
fof(f702,plain,
! [X0] : X0 = join(X0,composition(X0,composition(converse(sk1),sk1))),
inference(forward_demodulation,[status(thm)],[f21,f701]) ).
fof(f817,plain,
! [X0] : join(one,composition(join(converse(sk2),X0),sk2)) = join(one,composition(X0,sk2)),
inference(paramodulation,[status(thm)],[f23,f87]) ).
fof(f3415,plain,
join(one,composition(converse(sk2),sk2)) = join(one,composition(composition(converse(sk2),composition(converse(sk1),sk1)),sk2)),
inference(paramodulation,[status(thm)],[f702,f817]) ).
fof(f3416,plain,
one = join(one,composition(composition(converse(sk2),composition(converse(sk1),sk1)),sk2)),
inference(forward_demodulation,[status(thm)],[f36,f3415]) ).
fof(f3417,plain,
one = join(one,composition(converse(sk2),composition(composition(converse(sk1),sk1),sk2))),
inference(forward_demodulation,[status(thm)],[f21,f3416]) ).
fof(f3418,plain,
one = join(one,composition(converse(sk2),composition(converse(sk1),composition(sk1,sk2)))),
inference(forward_demodulation,[status(thm)],[f21,f3417]) ).
fof(f3419,plain,
one = join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))),
inference(forward_demodulation,[status(thm)],[f46,f3418]) ).
fof(f3420,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3419,f37]) ).
%------------------------------------------------------------------------------
%----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
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 20:56:19 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.36 % Drodi V3.6.0
% 3.15/0.77 % Refutation found
% 3.15/0.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.15/0.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.15/0.79 % Elapsed time: 0.437454 seconds
% 3.15/0.79 % CPU time: 3.367489 seconds
% 3.15/0.79 % Total memory used: 77.333 MB
% 3.15/0.79 % Net memory used: 75.901 MB
%------------------------------------------------------------------------------