TSTP Solution File: GRP424-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP424-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 20:20:25 EDT 2024
% Result : Unsatisfiable 0.18s 0.46s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2))) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X2)))),multiply(X3,inverse(X2))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f32,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(a1,inverse(multiply(inverse(X1),X2)))),multiply(a1,inverse(X2))),
inference(equality_split,[status(esa)],[f6]) ).
fof(f34,plain,
! [X0,X1] : X0 = multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1)))),X1)))),multiply(a1,inverse(X1))),
inference(paramodulation,[status(thm)],[f3,f32]) ).
fof(f66,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(a1,inverse(X2)))))),inverse(multiply(inverse(multiply(a1,inverse(X2))),multiply(a1,inverse(X2))))) = multiply(a1,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2)))),X2))),
inference(paramodulation,[status(thm)],[f34,f3]) ).
fof(f219,plain,
! [X0,X1] : X0 = multiply(a1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(a1,inverse(X1)))),inverse(multiply(inverse(X1),X1)))),X1))),
inference(paramodulation,[status(thm)],[f3,f66]) ).
fof(f236,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(a1,inverse(X2))))) = multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2)))),X2)))),multiply(a1,inverse(X2)))))),multiply(a1,inverse(multiply(a1,inverse(X2))))),
inference(paramodulation,[status(thm)],[f66,f34]) ).
fof(f237,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(a1,inverse(X2))))) = multiply(inverse(multiply(a1,inverse(X1))),multiply(a1,inverse(multiply(a1,inverse(X2))))),
inference(forward_demodulation,[status(thm)],[f34,f236]) ).
fof(f298,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(a1,inverse(X1))),multiply(a1,inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(a1,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3)))))),
inference(paramodulation,[status(thm)],[f219,f237]) ).
fof(f299,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(a1,inverse(X1))),multiply(a1,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f219,f298]) ).
fof(f394,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X3))) = multiply(inverse(multiply(a1,inverse(multiply(inverse(X2),X2)))),multiply(a1,inverse(X3))),
inference(paramodulation,[status(thm)],[f3,f299]) ).
fof(f407,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(X2))),
inference(paramodulation,[status(thm)],[f299,f299]) ).
fof(f476,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(a1,inverse(X1))),multiply(a1,inverse(X2))),
inference(equality_split,[status(esa)],[f407]) ).
fof(f483,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(X0),X1)))),multiply(a1,inverse(X1)))),inverse(X2))) = multiply(inverse(multiply(a1,inverse(multiply(inverse(X1),X1)))),multiply(a1,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f476,f394]) ).
fof(f484,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(a1,inverse(multiply(inverse(X1),X1)))),multiply(a1,inverse(multiply(inverse(X1),X1)))),
inference(paramodulation,[status(thm)],[f3,f483]) ).
fof(f590,plain,
! [X0] : multiply(inverse(X0),X0) = multiply(inverse(a1),a1),
inference(equality_split,[status(esa)],[f484]) ).
fof(f591,plain,
$false,
inference(resolution,[status(thm)],[f590,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP424-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 01:05:58 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 0.18/0.46 % Refutation found
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.49 % Elapsed time: 0.138008 seconds
% 0.18/0.49 % CPU time: 1.012994 seconds
% 0.18/0.49 % Total memory used: 70.941 MB
% 0.18/0.49 % Net memory used: 70.195 MB
%------------------------------------------------------------------------------