TSTP Solution File: GRP412-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP412-1 : 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 20:20:22 EDT 2024
% Result : Unsatisfiable 7.68s 1.34s
% Output : CNFRefutation 7.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 2
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 14 ( 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 : 93 ( 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(A,inverse(B))),C))),B))) = C,
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(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))) = inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X3))),X2))),X3)),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f6,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)),inverse(multiply(inverse(X2),X3))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)))) = X3,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(X1,X2))) = inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X2))),inverse(X3))),multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X4))),X1))),X4)))),X3)),
inference(paramodulation,[status(thm)],[f3,f5]) ).
fof(f33,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1)))) = X2,
inference(paramodulation,[status(thm)],[f5,f3]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X4)),X3))))) = multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1))),X4),
inference(paramodulation,[status(thm)],[f5,f33]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X3,inverse(X4))),X5))),X4)))),inverse(X1))),multiply(inverse(X5),X2)),
inference(paramodulation,[status(thm)],[f6,f42]) ).
fof(f157,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(inverse(multiply(inverse(X3),inverse(X1))),multiply(inverse(X3),X2)),
inference(forward_demodulation,[status(thm)],[f3,f156]) ).
fof(f181,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f157,f157]) ).
fof(f217,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))) = inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,X2)))),X3)),
inference(paramodulation,[status(thm)],[f157,f5]) ).
fof(f218,plain,
! [X0,X1,X2] : X0 = inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X0)))),X1)),
inference(forward_demodulation,[status(thm)],[f3,f217]) ).
fof(f351,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X3)))),X1)))),multiply(X0,X4)) = multiply(inverse(multiply(X5,X3)),multiply(X5,X4)),
inference(paramodulation,[status(thm)],[f218,f181]) ).
fof(f352,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(forward_demodulation,[status(thm)],[f218,f351]) ).
fof(f420,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X0)))),X3)) = multiply(inverse(multiply(X4,X1)),multiply(X4,X3)),
inference(paramodulation,[status(thm)],[f218,f352]) ).
fof(f2307,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X2)))),X1))) = inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,X4)))),X2)),
inference(paramodulation,[status(thm)],[f420,f11]) ).
fof(f2308,plain,
! [X0,X1,X2] : inverse(X0) = inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X2)))),X0)),
inference(forward_demodulation,[status(thm)],[f3,f2307]) ).
fof(f2486,plain,
! [X0,X1,X2,X3] : inverse(X0) = inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X1)),X3))))))),X0)),
inference(paramodulation,[status(thm)],[f33,f2308]) ).
fof(f2487,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))),X0)),
inference(forward_demodulation,[status(thm)],[f33,f2486]) ).
fof(f2785,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X1))) = multiply(inverse(X2),X2),
inference(paramodulation,[status(thm)],[f2487,f33]) ).
fof(f2943,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1)))) = multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X3),X3))),X2),
inference(paramodulation,[status(thm)],[f2487,f33]) ).
fof(f2944,plain,
! [X0,X1] : X0 = multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))),X0),
inference(forward_demodulation,[status(thm)],[f33,f2943]) ).
fof(f3010,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,X0)),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f2944,f420]) ).
fof(f3738,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),inverse(X0)) = multiply(inverse(X1),X1),
inference(forward_demodulation,[status(thm)],[f3010,f2785]) ).
fof(f3739,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f3738,f3738]) ).
fof(f3986,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f4,f3739]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP412-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n031.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 : Tue Apr 30 01:04:28 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 7.68/1.34 % Refutation found
% 7.68/1.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.68/1.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.68/1.40 % Elapsed time: 1.040529 seconds
% 7.68/1.40 % CPU time: 8.061134 seconds
% 7.68/1.40 % Total memory used: 323.257 MB
% 7.68/1.40 % Net memory used: 321.740 MB
%------------------------------------------------------------------------------