TSTP Solution File: GRP497-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP497-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 20:20:48 EDT 2024
% Result : Unsatisfiable 0.20s 0.40s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 5
% Syntax : Number of formulae : 62 ( 62 unt; 0 def)
% Number of atoms : 62 ( 61 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 88 ( 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(identity,double_divide(A,double_divide(B,identity))),double_divide(double_divide(B,double_divide(C,A)),identity)) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity)) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0] : inverse(X0) = double_divide(X0,identity),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0] : identity = double_divide(X0,inverse(X0)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
multiply(identity,a2) != a2,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f14,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),multiply(double_divide(X2,X0),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f7,f6]) ).
fof(f17,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),multiply(multiply(X1,X2),X0)) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f7,f14]) ).
fof(f293,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f298,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,double_divide(identity,inverse(X0))),multiply(multiply(X1,X2),X0)) = double_divide(X2,X1),
inference(backward_demodulation,[status(thm)],[f8,f17]) ).
fof(f301,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,double_divide(X0,inverse(X1))),multiply(double_divide(X2,X0),X1)) = X2,
inference(backward_demodulation,[status(thm)],[f8,f14]) ).
fof(f321,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f293]) ).
fof(f322,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f293]) ).
fof(f323,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f293,f9]) ).
fof(f341,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f322,f322]) ).
fof(f491,plain,
identity = inverse(identity),
inference(paramodulation,[status(thm)],[f323,f301]) ).
fof(f492,plain,
! [X0,X1] : double_divide(double_divide(identity,identity),multiply(double_divide(X0,X1),X1)) = X0,
inference(paramodulation,[status(thm)],[f9,f301]) ).
fof(f493,plain,
! [X0,X1] : double_divide(inverse(identity),multiply(double_divide(X0,X1),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f492]) ).
fof(f503,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(inverse(X0),inverse(X1))),multiply(identity,X1)) = X0,
inference(paramodulation,[status(thm)],[f9,f301]) ).
fof(f504,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(identity,inverse(X0))),multiply(inverse(X1),X0)) = X1,
inference(paramodulation,[status(thm)],[f8,f301]) ).
fof(f605,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(backward_demodulation,[status(thm)],[f491,f321]) ).
fof(f614,plain,
multiply(identity,identity) = inverse(identity),
inference(paramodulation,[status(thm)],[f491,f322]) ).
fof(f615,plain,
multiply(identity,identity) = identity,
inference(forward_demodulation,[status(thm)],[f491,f614]) ).
fof(f858,plain,
! [X0,X1] : double_divide(identity,multiply(double_divide(X0,X1),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f491,f493]) ).
fof(f903,plain,
! [X0] : double_divide(double_divide(identity,double_divide(inverse(X0),identity)),multiply(identity,identity)) = X0,
inference(paramodulation,[status(thm)],[f491,f503]) ).
fof(f904,plain,
! [X0] : double_divide(double_divide(identity,inverse(inverse(X0))),multiply(identity,identity)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f903]) ).
fof(f905,plain,
! [X0] : double_divide(double_divide(identity,multiply(identity,X0)),multiply(identity,identity)) = X0,
inference(forward_demodulation,[status(thm)],[f322,f904]) ).
fof(f906,plain,
! [X0] : double_divide(double_divide(identity,multiply(identity,X0)),identity) = X0,
inference(forward_demodulation,[status(thm)],[f615,f905]) ).
fof(f907,plain,
! [X0] : inverse(double_divide(identity,multiply(identity,X0))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f906]) ).
fof(f908,plain,
! [X0] : multiply(multiply(identity,X0),identity) = X0,
inference(forward_demodulation,[status(thm)],[f293,f907]) ).
fof(f942,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,inverse(identity))),X0) = double_divide(X0,identity),
inference(paramodulation,[status(thm)],[f908,f298]) ).
fof(f943,plain,
! [X0] : double_divide(double_divide(identity,identity),X0) = double_divide(X0,identity),
inference(forward_demodulation,[status(thm)],[f9,f942]) ).
fof(f944,plain,
! [X0] : double_divide(inverse(identity),X0) = double_divide(X0,identity),
inference(forward_demodulation,[status(thm)],[f8,f943]) ).
fof(f945,plain,
! [X0] : double_divide(identity,X0) = double_divide(X0,identity),
inference(forward_demodulation,[status(thm)],[f491,f944]) ).
fof(f946,plain,
! [X0] : double_divide(identity,X0) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f8,f945]) ).
fof(f963,plain,
! [X0,X1] : inverse(multiply(double_divide(X0,X1),X1)) = X0,
inference(backward_demodulation,[status(thm)],[f946,f858]) ).
fof(f992,plain,
! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f946,f293]) ).
fof(f993,plain,
! [X0] : multiply(X0,identity) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f322,f992]) ).
fof(f1001,plain,
! [X0] : inverse(multiply(identity,inverse(X0))) = X0,
inference(paramodulation,[status(thm)],[f9,f963]) ).
fof(f1002,plain,
! [X0] : multiply(identity,inverse(inverse(X0))) = X0,
inference(forward_demodulation,[status(thm)],[f341,f1001]) ).
fof(f1003,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f322,f1002]) ).
fof(f1006,plain,
! [X0,X1] : multiply(X0,multiply(double_divide(X0,X1),X1)) = identity,
inference(paramodulation,[status(thm)],[f963,f605]) ).
fof(f1099,plain,
! [X0,X1] : double_divide(inverse(double_divide(identity,inverse(X0))),multiply(inverse(X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f946,f504]) ).
fof(f1100,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),identity),multiply(inverse(X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f293,f1099]) ).
fof(f1101,plain,
! [X0,X1] : double_divide(multiply(identity,inverse(X0)),multiply(inverse(X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f993,f1100]) ).
fof(f1111,plain,
! [X0,X1] : double_divide(multiply(identity,multiply(identity,X0)),multiply(inverse(X1),inverse(X0))) = X1,
inference(paramodulation,[status(thm)],[f322,f1101]) ).
fof(f1112,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X1),inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f1003,f1111]) ).
fof(f1255,plain,
! [X0,X1] : double_divide(multiply(identity,inverse(multiply(double_divide(inverse(X0),X1),X1))),identity) = X0,
inference(paramodulation,[status(thm)],[f1006,f1101]) ).
fof(f1256,plain,
! [X0,X1] : inverse(multiply(identity,inverse(multiply(double_divide(inverse(X0),X1),X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f1255]) ).
fof(f1257,plain,
! [X0,X1] : multiply(identity,inverse(inverse(multiply(double_divide(inverse(X0),X1),X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f341,f1256]) ).
fof(f1258,plain,
! [X0,X1] : multiply(identity,multiply(identity,multiply(double_divide(inverse(X0),X1),X1))) = X0,
inference(forward_demodulation,[status(thm)],[f322,f1257]) ).
fof(f1259,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f1003,f1258]) ).
fof(f1838,plain,
! [X0] : double_divide(X0,multiply(identity,inverse(X0))) = identity,
inference(paramodulation,[status(thm)],[f491,f1112]) ).
fof(f2034,plain,
! [X0] : multiply(identity,multiply(identity,inverse(inverse(X0)))) = X0,
inference(paramodulation,[status(thm)],[f1838,f1259]) ).
fof(f2035,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f1003,f2034]) ).
fof(f2036,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f322,f2035]) ).
fof(f2074,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f2036,f10]) ).
fof(f2075,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f2074]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP497-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.33 % Computer : n025.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 00:46:56 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Drodi V3.6.0
% 0.20/0.40 % Refutation found
% 0.20/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.42 % Elapsed time: 0.073730 seconds
% 0.20/0.42 % CPU time: 0.503768 seconds
% 0.20/0.42 % Total memory used: 28.118 MB
% 0.20/0.42 % Net memory used: 27.594 MB
%------------------------------------------------------------------------------