TSTP Solution File: GRP485-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP485-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:20:46 EDT 2024
% Result : Unsatisfiable 0.20s 0.43s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 5
% Syntax : Number of formulae : 75 ( 75 unt; 0 def)
% Number of atoms : 75 ( 74 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 129 ( 129 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,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(f16,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,double_divide(multiply(X1,X0),double_divide(X1,identity))),double_divide(identity,identity)),
inference(paramodulation,[status(thm)],[f7,f6]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),double_divide(X2,identity))),double_divide(double_divide(X3,X0),double_divide(double_divide(identity,identity),identity))),double_divide(identity,identity)),
inference(paramodulation,[status(thm)],[f6,f6]) ).
fof(f23,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),double_divide(X2,identity))),double_divide(double_divide(X3,X0),multiply(identity,identity))),double_divide(identity,identity)),
inference(forward_demodulation,[status(thm)],[f7,f17]) ).
fof(f26,plain,
! [X0,X1] : double_divide(multiply(X0,double_divide(X1,identity)),double_divide(X0,identity)) = double_divide(double_divide(X1,identity),double_divide(identity,identity)),
inference(paramodulation,[status(thm)],[f16,f6]) ).
fof(f27,plain,
! [X0,X1] : double_divide(identity,identity) = double_divide(double_divide(X0,double_divide(identity,double_divide(double_divide(multiply(X1,X0),double_divide(X1,identity)),identity))),double_divide(identity,identity)),
inference(paramodulation,[status(thm)],[f16,f6]) ).
fof(f31,plain,
! [X0,X1] : double_divide(identity,identity) = double_divide(double_divide(X0,double_divide(identity,multiply(double_divide(X1,identity),multiply(X1,X0)))),double_divide(identity,identity)),
inference(forward_demodulation,[status(thm)],[f7,f27]) ).
fof(f326,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),inverse(identity)) = X2,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f327,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f330,plain,
! [X0,X1] : double_divide(multiply(X0,double_divide(X1,identity)),inverse(X0)) = double_divide(double_divide(X1,identity),double_divide(identity,identity)),
inference(backward_demodulation,[status(thm)],[f8,f26]) ).
fof(f340,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),inverse(identity)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f326]) ).
fof(f343,plain,
! [X0,X1] : double_divide(multiply(X0,inverse(X1)),inverse(X0)) = double_divide(double_divide(X1,identity),double_divide(identity,identity)),
inference(forward_demodulation,[status(thm)],[f8,f330]) ).
fof(f344,plain,
! [X0,X1] : double_divide(multiply(X0,inverse(X1)),inverse(X0)) = double_divide(inverse(X1),double_divide(identity,identity)),
inference(forward_demodulation,[status(thm)],[f8,f343]) ).
fof(f345,plain,
! [X0,X1] : double_divide(multiply(X0,inverse(X1)),inverse(X0)) = double_divide(inverse(X1),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f344]) ).
fof(f348,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f327]) ).
fof(f349,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f327]) ).
fof(f350,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f327,f9]) ).
fof(f354,plain,
! [X0] : inverse(identity) = multiply(multiply(identity,X0),inverse(X0)),
inference(paramodulation,[status(thm)],[f349,f348]) ).
fof(f355,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f349,f9]) ).
fof(f435,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),double_divide(double_divide(X3,X0),multiply(identity,identity))),double_divide(identity,identity)),
inference(forward_demodulation,[status(thm)],[f8,f23]) ).
fof(f436,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),double_divide(double_divide(X3,X0),multiply(identity,identity))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f435]) ).
fof(f452,plain,
! [X0,X1] : identity = double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),identity),inverse(X1))),identity),inverse(identity)),
inference(paramodulation,[status(thm)],[f350,f436]) ).
fof(f474,plain,
! [X0,X1] : identity = double_divide(inverse(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),identity),inverse(X1)))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f452]) ).
fof(f475,plain,
! [X0,X1] : identity = double_divide(multiply(double_divide(double_divide(double_divide(X0,X1),identity),inverse(X1)),X0),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f327,f474]) ).
fof(f476,plain,
! [X0,X1] : identity = double_divide(multiply(double_divide(inverse(double_divide(X0,X1)),inverse(X1)),X0),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f475]) ).
fof(f477,plain,
! [X0,X1] : identity = double_divide(multiply(double_divide(multiply(X0,X1),inverse(X0)),X1),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f327,f476]) ).
fof(f672,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,double_divide(identity,inverse(X0))),inverse(identity)),
inference(paramodulation,[status(thm)],[f350,f340]) ).
fof(f727,plain,
! [X0] : multiply(identity,X0) = double_divide(double_divide(X0,identity),inverse(identity)),
inference(paramodulation,[status(thm)],[f9,f672]) ).
fof(f744,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f727]) ).
fof(f753,plain,
! [X0,X1] : double_divide(multiply(X0,inverse(X1)),inverse(X0)) = multiply(identity,X1),
inference(backward_demodulation,[status(thm)],[f744,f345]) ).
fof(f779,plain,
! [X0] : identity = double_divide(multiply(multiply(identity,X0),inverse(X0)),inverse(identity)),
inference(paramodulation,[status(thm)],[f753,f477]) ).
fof(f793,plain,
identity = double_divide(inverse(identity),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f354,f779]) ).
fof(f794,plain,
identity = multiply(identity,identity),
inference(forward_demodulation,[status(thm)],[f744,f793]) ).
fof(f807,plain,
inverse(identity) = multiply(identity,inverse(identity)),
inference(paramodulation,[status(thm)],[f794,f354]) ).
fof(f841,plain,
identity = double_divide(inverse(inverse(identity)),inverse(identity)),
inference(paramodulation,[status(thm)],[f807,f355]) ).
fof(f864,plain,
identity = multiply(identity,inverse(identity)),
inference(forward_demodulation,[status(thm)],[f744,f841]) ).
fof(f879,plain,
identity = inverse(identity),
inference(paramodulation,[status(thm)],[f807,f864]) ).
fof(f939,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,double_divide(identity,inverse(X0))),identity),
inference(backward_demodulation,[status(thm)],[f879,f672]) ).
fof(f940,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),identity) = X2,
inference(backward_demodulation,[status(thm)],[f879,f340]) ).
fof(f949,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(backward_demodulation,[status(thm)],[f879,f348]) ).
fof(f959,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,double_divide(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f8,f939]) ).
fof(f960,plain,
! [X0,X1] : multiply(X0,X1) = multiply(double_divide(identity,inverse(X0)),X1),
inference(forward_demodulation,[status(thm)],[f327,f959]) ).
fof(f961,plain,
! [X0,X1,X2] : inverse(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f940]) ).
fof(f962,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1)),X0) = X2,
inference(forward_demodulation,[status(thm)],[f327,f961]) ).
fof(f1198,plain,
! [X0,X1] : X0 = multiply(double_divide(double_divide(inverse(X1),X0),inverse(identity)),X1),
inference(paramodulation,[status(thm)],[f8,f962]) ).
fof(f1218,plain,
! [X0,X1] : X0 = multiply(double_divide(double_divide(inverse(X1),X0),identity),X1),
inference(forward_demodulation,[status(thm)],[f879,f1198]) ).
fof(f1219,plain,
! [X0,X1] : X0 = multiply(inverse(double_divide(inverse(X1),X0)),X1),
inference(forward_demodulation,[status(thm)],[f8,f1218]) ).
fof(f1220,plain,
! [X0,X1] : X0 = multiply(multiply(X0,inverse(X1)),X1),
inference(forward_demodulation,[status(thm)],[f327,f1219]) ).
fof(f1232,plain,
! [X0,X1] : multiply(X0,inverse(inverse(X1))) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f1220,f1220]) ).
fof(f1236,plain,
! [X0,X1] : X0 = multiply(multiply(X0,multiply(identity,X1)),inverse(X1)),
inference(paramodulation,[status(thm)],[f349,f1220]) ).
fof(f1244,plain,
! [X0,X1] : multiply(X0,multiply(identity,X1)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f349,f1232]) ).
fof(f1379,plain,
! [X0,X1] : X0 = multiply(multiply(X0,X1),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f1244,f1236]) ).
fof(f1389,plain,
! [X0] : inverse(X0) = multiply(identity,inverse(X0)),
inference(paramodulation,[status(thm)],[f949,f1379]) ).
fof(f1649,plain,
! [X0,X1] : inverse(identity) = double_divide(double_divide(X0,double_divide(identity,multiply(double_divide(X1,identity),multiply(X1,X0)))),double_divide(identity,identity)),
inference(forward_demodulation,[status(thm)],[f8,f31]) ).
fof(f1650,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,double_divide(identity,multiply(double_divide(X1,identity),multiply(X1,X0)))),double_divide(identity,identity)),
inference(forward_demodulation,[status(thm)],[f879,f1649]) ).
fof(f1651,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,double_divide(identity,multiply(inverse(X1),multiply(X1,X0)))),double_divide(identity,identity)),
inference(forward_demodulation,[status(thm)],[f8,f1650]) ).
fof(f1652,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,double_divide(identity,multiply(inverse(X1),multiply(X1,X0)))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f1651]) ).
fof(f1653,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,double_divide(identity,multiply(inverse(X1),multiply(X1,X0)))),identity),
inference(forward_demodulation,[status(thm)],[f879,f1652]) ).
fof(f1654,plain,
! [X0,X1] : identity = inverse(double_divide(X0,double_divide(identity,multiply(inverse(X1),multiply(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f8,f1653]) ).
fof(f1655,plain,
! [X0,X1] : identity = multiply(double_divide(identity,multiply(inverse(X0),multiply(X0,X1))),X1),
inference(forward_demodulation,[status(thm)],[f327,f1654]) ).
fof(f1676,plain,
! [X0] : identity = multiply(double_divide(identity,multiply(inverse(identity),inverse(X0))),inverse(X0)),
inference(paramodulation,[status(thm)],[f1389,f1655]) ).
fof(f1713,plain,
! [X0] : identity = multiply(double_divide(identity,multiply(identity,inverse(X0))),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f879,f1676]) ).
fof(f1714,plain,
! [X0] : identity = multiply(double_divide(identity,inverse(X0)),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f1389,f1713]) ).
fof(f1715,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f960,f1714]) ).
fof(f1997,plain,
! [X0] : X0 = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f1715,f1220]) ).
fof(f2018,plain,
$false,
inference(resolution,[status(thm)],[f1997,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP485-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n020.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 00:24:02 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.20/0.43 % Refutation found
% 0.20/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.45 % Elapsed time: 0.101992 seconds
% 0.20/0.45 % CPU time: 0.705829 seconds
% 0.20/0.45 % Total memory used: 30.853 MB
% 0.20/0.45 % Net memory used: 29.353 MB
%------------------------------------------------------------------------------