TSTP Solution File: HWV052-1.002.001 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : HWV052-1.002.001 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:22:12 EDT 2024
% Result : Unsatisfiable 0.20s 0.51s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 75 ( 74 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 55 ( 7 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( X = o
| X = i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : inv(X) != X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X1,X2] : unpack1(X1,X2,pack1(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X1,X2] : unpack1(inv(X1),X2,pack1(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X1,X2] : unpack1(X1,X2,inv(pack1(X1,X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0] :
( X0 = o
| X0 = i ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f12,plain,
! [X0] : inv(X0) != X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f13,plain,
! [X0,X1] : unpack1(X0,X1,pack1(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
! [X0,X1] : unpack1(inv(X0),X1,pack1(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f16,plain,
! [X0,X1] : unpack1(X0,X1,inv(pack1(X0,X1))) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f22,plain,
! [X0,X1] :
( X0 = o
| X0 = X1
| X1 = o ),
inference(paramodulation,[status(thm)],[f11,f11]) ).
fof(f33,plain,
! [X0,X1,X2,X3] :
( X0 = o
| X0 = X1
| X1 = X2
| X3 = o
| X3 = X2 ),
inference(paramodulation,[status(thm)],[f22,f22]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| X1 = X2
| X3 = X2
| X3 != X0
| o = X0 ),
inference(equality_factoring,[status(esa)],[f33]) ).
fof(f124,plain,
! [X0,X1,X2] :
( X0 = X1
| X1 = X2
| X0 = X2
| o = X0 ),
inference(destructive_equality_resolution,[status(esa)],[f123]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4,X5] :
( X0 = X1
| X1 = X2
| X0 = X2
| X3 = X0
| X3 = X4
| X4 = X5
| X3 = X5 ),
inference(paramodulation,[status(thm)],[f124,f124]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4] :
( X0 = X1
| X0 = X2
| X1 = X0
| X3 = X4
| X1 = X4
| X2 != X3
| X1 = X3 ),
inference(equality_factoring,[status(esa)],[f157]) ).
fof(f199,plain,
! [X0,X1,X2,X3,X4] :
( X0 = X1
| X0 = X2
| X3 = X4
| X1 = X4
| X2 != X3
| X1 = X3 ),
inference(duplicate_literals_removal,[status(esa)],[f198]) ).
fof(f200,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| X0 = X2
| X2 = X3
| X1 = X3
| X1 = X2 ),
inference(destructive_equality_resolution,[status(esa)],[f199]) ).
fof(f370,plain,
! [X0,X1,X2] :
( X0 = X1
| X1 = X0
| X1 = X2
| X2 != X2
| X0 = X2 ),
inference(equality_factoring,[status(esa)],[f200]) ).
fof(f371,plain,
! [X0,X1,X2] :
( X0 = X1
| X1 = X2
| X2 != X2
| X0 = X2 ),
inference(duplicate_literals_removal,[status(esa)],[f370]) ).
fof(f372,plain,
! [X0,X1,X2] :
( X0 = X1
| X1 = X2
| X0 = X2 ),
inference(trivial_equality_resolution,[status(esa)],[f371]) ).
fof(f388,plain,
! [X0,X1] :
( X0 = inv(X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f372,f12]) ).
fof(f400,plain,
! [X0,X1,X2] :
( unpack1(X0,X1,X2) = X0
| X2 = pack1(X0,X1) ),
inference(paramodulation,[status(thm)],[f388,f16]) ).
fof(f510,plain,
! [X0,X1,X2] :
( unpack1(X0,X1,X2) = X0
| unpack1(X0,X1,X2) = X0 ),
inference(paramodulation,[status(thm)],[f400,f13]) ).
fof(f511,plain,
! [X0,X1,X2] : unpack1(X0,X1,X2) = X0,
inference(duplicate_literals_removal,[status(esa)],[f510]) ).
fof(f512,plain,
! [X0] : inv(X0) = X0,
inference(backward_demodulation,[status(thm)],[f511,f14]) ).
fof(f513,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f512,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : HWV052-1.002.001 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n022.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 : Tue Apr 30 01:08:44 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.51 % Refutation found
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.52 % Elapsed time: 0.162051 seconds
% 0.20/0.52 % CPU time: 1.250456 seconds
% 0.20/0.52 % Total memory used: 18.074 MB
% 0.20/0.52 % Net memory used: 16.733 MB
%------------------------------------------------------------------------------