TSTP Solution File: GRP412-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : Wed May 31 12:11:36 EDT 2023
% Result : Unsatisfiable 3.50s 0.83s
% Output : CNFRefutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 2
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 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 : 17 ( 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 : 79 (; 79 !; 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(f7,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1))),multiply(inverse(multiply(X2,inverse(X3))),X0)))),X1)),
inference(paramodulation,[status(thm)],[f3,f5]) ).
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(f58,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(inverse(multiply(multiply(multiply(inverse(inverse(X3)),inverse(X3)),inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X5))),inverse(inverse(X3)))),multiply(inverse(multiply(X4,inverse(X5))),X2)))),inverse(X3))),X0)))),X1)),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f59,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)],[f7,f58]) ).
fof(f264,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)],[f59,f33]) ).
fof(f342,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,X1)))),X4)))),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f59,f264]) ).
fof(f343,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)],[f59,f342]) ).
fof(f415,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)],[f59,f343]) ).
fof(f2037,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)],[f415,f11]) ).
fof(f2038,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,f2037]) ).
fof(f2806,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,f2038]) ).
fof(f2807,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))),X0)),
inference(forward_demodulation,[status(thm)],[f33,f2806]) ).
fof(f3290,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)],[f2807,f33]) ).
fof(f3291,plain,
! [X0,X1] : X0 = multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))),X0),
inference(forward_demodulation,[status(thm)],[f33,f3290]) ).
fof(f3363,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,X0)),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f3291,f415]) ).
fof(f3384,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X1))) = multiply(inverse(X2),X2),
inference(paramodulation,[status(thm)],[f3291,f33]) ).
fof(f3978,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),inverse(X0)) = multiply(inverse(X1),X1),
inference(forward_demodulation,[status(thm)],[f3363,f3384]) ).
fof(f3979,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f3978,f3978]) ).
fof(f4230,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f4,f3979]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP412-1 : 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 : 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 May 30 11:56:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 3.50/0.83 % Refutation found
% 3.50/0.83 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.50/0.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.50/0.86 % Elapsed time: 0.514199 seconds
% 3.50/0.86 % CPU time: 3.937511 seconds
% 3.50/0.86 % Memory used: 143.811 MB
%------------------------------------------------------------------------------