TSTP Solution File: GRP403-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP403-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:20:19 EDT 2024
% Result : Unsatisfiable 0.21s 0.56s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 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 : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(B,multiply(inverse(B),B)))))) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),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(inverse(X1),inverse(multiply(X2,multiply(inverse(X2),X2)))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1)),inverse(multiply(X3,multiply(inverse(X3),X3))))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X0))),inverse(multiply(X3,multiply(inverse(X3),X3))))),
inference(paramodulation,[status(thm)],[f3,f5]) ).
fof(f28,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),inverse(multiply(X1,multiply(inverse(X1),X1))))))) = X2,
inference(paramodulation,[status(thm)],[f5,f3]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,multiply(inverse(X4),X4)))))))) = multiply(inverse(multiply(inverse(multiply(X2,X4)),X1)),X3),
inference(paramodulation,[status(thm)],[f5,f28]) ).
fof(f51,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X5)),multiply(inverse(multiply(X3,X4)),X1))),inverse(multiply(X5,multiply(inverse(X5),X5))))),X0))),inverse(multiply(X2,multiply(inverse(X2),X2))))),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f52,plain,
! [X0,X1,X2] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),inverse(multiply(X2,multiply(inverse(X2),X2))))),
inference(forward_demodulation,[status(thm)],[f7,f51]) ).
fof(f260,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),inverse(multiply(X2,inverse(multiply(multiply(X0,X2),multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))))) = inverse(multiply(X1,multiply(inverse(X1),X1))),
inference(paramodulation,[status(thm)],[f52,f3]) ).
fof(f261,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f52,f28]) ).
fof(f293,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(a1,X1)),multiply(a1,X2)),
inference(equality_split,[status(esa)],[f261]) ).
fof(f511,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),inverse(multiply(X2,inverse(multiply(multiply(X0,X2),multiply(inverse(multiply(a1,X2)),multiply(a1,X2))))))) = inverse(multiply(X1,multiply(inverse(X1),X1))),
inference(forward_demodulation,[status(thm)],[f293,f260]) ).
fof(f738,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(a1,X0)),multiply(a1,multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,multiply(inverse(X3),X3)))))))) = multiply(inverse(multiply(inverse(multiply(X1,X3)),X0)),X2),
inference(forward_demodulation,[status(thm)],[f293,f37]) ).
fof(f745,plain,
! [X0,X1,X2] : multiply(inverse(multiply(a1,X0)),multiply(a1,inverse(multiply(X1,multiply(inverse(X1),X1))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(a1,X1)),multiply(a1,inverse(X2)))),X0)),X2),
inference(paramodulation,[status(thm)],[f511,f738]) ).
fof(f1059,plain,
! [X0,X1] : multiply(inverse(multiply(a1,inverse(multiply(X0,multiply(inverse(X0),X0))))),multiply(a1,inverse(multiply(X0,multiply(inverse(X0),X0))))) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f52,f745]) ).
fof(f1248,plain,
! [X0] : multiply(inverse(X0),X0) = multiply(inverse(a1),a1),
inference(equality_split,[status(esa)],[f1059]) ).
fof(f1249,plain,
$false,
inference(resolution,[status(thm)],[f1248,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP403-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n003.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 00:38:48 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.21/0.56 % Refutation found
% 0.21/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.57 % Elapsed time: 0.213348 seconds
% 0.21/0.57 % CPU time: 1.594676 seconds
% 0.21/0.57 % Total memory used: 96.590 MB
% 0.21/0.57 % Net memory used: 95.772 MB
%------------------------------------------------------------------------------