TSTP Solution File: REL009-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : REL009-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:37:22 EDT 2024
% Result : Unsatisfiable 228.24s 29.11s
% Output : CNFRefutation 231.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 25 unt; 0 def)
% Number of atoms : 51 ( 34 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f14,negated_conjecture,
join(sk1,sk2) = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( join(composition(sk1,sk3),composition(sk2,sk3)) != composition(sk2,sk3)
| join(composition(sk3,sk1),composition(sk3,sk2)) != composition(sk3,sk2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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,
join(sk1,sk2) = sk2,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f30,plain,
( join(composition(sk1,sk3),composition(sk2,sk3)) != composition(sk2,sk3)
| join(composition(sk3,sk1),composition(sk3,sk2)) != composition(sk3,sk2) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f31,plain,
( spl0_0
<=> join(composition(sk1,sk3),composition(sk2,sk3)) = composition(sk2,sk3) ),
introduced(split_symbol_definition) ).
fof(f33,plain,
( join(composition(sk1,sk3),composition(sk2,sk3)) != composition(sk2,sk3)
| spl0_0 ),
inference(component_clause,[status(thm)],[f31]) ).
fof(f34,plain,
( spl0_1
<=> join(composition(sk3,sk1),composition(sk3,sk2)) = composition(sk3,sk2) ),
introduced(split_symbol_definition) ).
fof(f36,plain,
( join(composition(sk3,sk1),composition(sk3,sk2)) != composition(sk3,sk2)
| spl0_1 ),
inference(component_clause,[status(thm)],[f34]) ).
fof(f37,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f30,f31,f34]) ).
fof(f340,plain,
( composition(join(sk1,sk2),sk3) != composition(sk2,sk3)
| spl0_0 ),
inference(backward_demodulation,[status(thm)],[f22,f33]) ).
fof(f341,plain,
( composition(sk2,sk3) != composition(sk2,sk3)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f29,f340]) ).
fof(f342,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f341]) ).
fof(f343,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f342]) ).
fof(f424,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f425,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f531,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f533,plain,
! [X0,X1,X2] : composition(join(converse(X0),X1),converse(X2)) = join(converse(composition(X2,X0)),composition(X1,converse(X2))),
inference(paramodulation,[status(thm)],[f25,f22]) ).
fof(f2293,plain,
! [X0,X1,X2] : converse(composition(join(converse(X0),X1),X2)) = composition(converse(X2),join(X0,converse(X1))),
inference(paramodulation,[status(thm)],[f424,f25]) ).
fof(f2355,plain,
! [X0,X1,X2] : converse(join(X0,composition(converse(X1),X2))) = join(converse(X0),composition(converse(X2),X1)),
inference(paramodulation,[status(thm)],[f531,f425]) ).
fof(f187553,plain,
! [X0,X1,X2] : converse(composition(join(converse(X0),converse(X1)),converse(X2))) = join(converse(converse(composition(X2,X0))),composition(converse(converse(X2)),X1)),
inference(paramodulation,[status(thm)],[f533,f2355]) ).
fof(f187554,plain,
! [X0,X1,X2] : composition(converse(converse(X0)),join(X1,converse(converse(X2)))) = join(converse(converse(composition(X0,X1))),composition(converse(converse(X0)),X2)),
inference(forward_demodulation,[status(thm)],[f2293,f187553]) ).
fof(f187555,plain,
! [X0,X1,X2] : composition(X0,join(X1,converse(converse(X2)))) = join(converse(converse(composition(X0,X1))),composition(converse(converse(X0)),X2)),
inference(forward_demodulation,[status(thm)],[f23,f187554]) ).
fof(f187556,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(converse(converse(composition(X0,X1))),composition(converse(converse(X0)),X2)),
inference(forward_demodulation,[status(thm)],[f23,f187555]) ).
fof(f187557,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(converse(converse(X0)),X2)),
inference(forward_demodulation,[status(thm)],[f23,f187556]) ).
fof(f187558,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[status(thm)],[f23,f187557]) ).
fof(f189501,plain,
( composition(sk3,join(sk1,sk2)) != composition(sk3,sk2)
| spl0_1 ),
inference(backward_demodulation,[status(thm)],[f187558,f36]) ).
fof(f189502,plain,
( composition(sk3,sk2) != composition(sk3,sk2)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f29,f189501]) ).
fof(f189503,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f189502]) ).
fof(f189504,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f189503]) ).
fof(f189505,plain,
$false,
inference(sat_refutation,[status(thm)],[f37,f343,f189504]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL009-1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 21:23:59 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 228.24/29.11 % Refutation found
% 228.24/29.11 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 228.24/29.11 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 231.82/29.59 % Elapsed time: 29.169265 seconds
% 231.82/29.59 % CPU time: 230.221324 seconds
% 231.82/29.59 % Total memory used: 1.498 GB
% 231.82/29.59 % Net memory used: 1.490 GB
%------------------------------------------------------------------------------