TSTP Solution File: GRP488-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP488-1 : 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 : Wed May 31 12:11:51 EDT 2023
% Result : Unsatisfiable 0.20s 0.45s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 5
% Syntax : Number of formulae : 71 ( 71 unt; 0 def)
% Number of atoms : 71 ( 70 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 99 (; 99 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),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(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),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(f11,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))))) = X2,
inference(backward_demodulation,[status(thm)],[f7,f6]) ).
fof(f12,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),double_divide(X1,X2))))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f11]) ).
fof(f13,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f14,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f13]) ).
fof(f15,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f13]) ).
fof(f17,plain,
! [X0,X1] : multiply(multiply(X0,X1),double_divide(X1,X0)) = inverse(identity),
inference(paramodulation,[status(thm)],[f13,f14]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),X2)))) = multiply(X3,double_divide(identity,double_divide(inverse(X1),double_divide(X3,X2)))),
inference(paramodulation,[status(thm)],[f12,f12]) ).
fof(f20,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),identity)))) = inverse(X1),
inference(paramodulation,[status(thm)],[f9,f12]) ).
fof(f21,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,inverse(inverse(X0))))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f8,f20]) ).
fof(f22,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,multiply(identity,X0)))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f15,f21]) ).
fof(f25,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f15,f15]) ).
fof(f26,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f15]) ).
fof(f64,plain,
! [X0,X1] : double_divide(X0,inverse(multiply(double_divide(inverse(X0),double_divide(identity,X1)),identity))) = X1,
inference(paramodulation,[status(thm)],[f26,f12]) ).
fof(f179,plain,
! [X0] : double_divide(X0,inverse(multiply(multiply(identity,X0),identity))) = inverse(identity),
inference(paramodulation,[status(thm)],[f26,f22]) ).
fof(f180,plain,
! [X0] : double_divide(X0,inverse(identity)) = inverse(multiply(multiply(identity,X0),identity)),
inference(paramodulation,[status(thm)],[f17,f22]) ).
fof(f195,plain,
! [X0] : double_divide(X0,double_divide(X0,inverse(identity))) = inverse(identity),
inference(backward_demodulation,[status(thm)],[f180,f179]) ).
fof(f204,plain,
! [X0,X1,X2] : double_divide(X0,inverse(multiply(double_divide(inverse(X0),X1),identity))) = multiply(X2,double_divide(identity,double_divide(inverse(identity),double_divide(X2,X1)))),
inference(paramodulation,[status(thm)],[f26,f19]) ).
fof(f221,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,inverse(inverse(X0))))) = multiply(X2,double_divide(identity,double_divide(inverse(X1),double_divide(X2,identity)))),
inference(paramodulation,[status(thm)],[f8,f19]) ).
fof(f222,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,multiply(identity,X0)))) = multiply(X2,double_divide(identity,double_divide(inverse(X1),double_divide(X2,identity)))),
inference(forward_demodulation,[status(thm)],[f15,f221]) ).
fof(f223,plain,
! [X0,X1] : inverse(X0) = multiply(X1,double_divide(identity,double_divide(inverse(X0),double_divide(X1,identity)))),
inference(forward_demodulation,[status(thm)],[f22,f222]) ).
fof(f224,plain,
! [X0,X1] : inverse(X0) = multiply(X1,double_divide(identity,double_divide(inverse(X0),inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f8,f223]) ).
fof(f228,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),X2)))) = inverse(multiply(double_divide(inverse(X1),double_divide(identity,X2)),identity)),
inference(paramodulation,[status(thm)],[f26,f19]) ).
fof(f267,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),identity)))) = multiply(X2,double_divide(identity,double_divide(inverse(X1),inverse(X2)))),
inference(paramodulation,[status(thm)],[f8,f19]) ).
fof(f268,plain,
! [X0,X1] : inverse(multiply(double_divide(inverse(X0),double_divide(identity,identity)),identity)) = multiply(X1,double_divide(identity,double_divide(inverse(X0),inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f228,f267]) ).
fof(f269,plain,
! [X0,X1] : inverse(multiply(double_divide(inverse(X0),inverse(identity)),identity)) = multiply(X1,double_divide(identity,double_divide(inverse(X0),inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f8,f268]) ).
fof(f270,plain,
! [X0] : inverse(multiply(double_divide(inverse(X0),inverse(identity)),identity)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f224,f269]) ).
fof(f307,plain,
! [X0,X1] : inverse(multiply(double_divide(inverse(X0),double_divide(identity,double_divide(X0,X1))),identity)) = X1,
inference(backward_demodulation,[status(thm)],[f228,f12]) ).
fof(f308,plain,
! [X0,X1,X2] : inverse(multiply(double_divide(inverse(X0),double_divide(identity,X1)),identity)) = multiply(X2,double_divide(identity,double_divide(inverse(X0),double_divide(X2,X1)))),
inference(backward_demodulation,[status(thm)],[f228,f19]) ).
fof(f337,plain,
! [X0,X1] : double_divide(X0,inverse(multiply(double_divide(inverse(X0),X1),identity))) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,X1)),identity)),
inference(backward_demodulation,[status(thm)],[f308,f204]) ).
fof(f361,plain,
! [X0] : multiply(double_divide(X0,inverse(identity)),X0) = inverse(inverse(identity)),
inference(paramodulation,[status(thm)],[f195,f13]) ).
fof(f362,plain,
! [X0] : multiply(double_divide(X0,inverse(identity)),X0) = multiply(identity,identity),
inference(forward_demodulation,[status(thm)],[f15,f361]) ).
fof(f461,plain,
! [X0,X1] : inverse(multiply(double_divide(X0,inverse(identity)),identity)) = inverse(multiply(double_divide(inverse(X1),double_divide(identity,double_divide(X1,X0))),identity)),
inference(paramodulation,[status(thm)],[f307,f270]) ).
fof(f462,plain,
! [X0] : inverse(multiply(double_divide(X0,inverse(identity)),identity)) = X0,
inference(forward_demodulation,[status(thm)],[f307,f461]) ).
fof(f484,plain,
inverse(multiply(identity,identity)) = identity,
inference(paramodulation,[status(thm)],[f362,f462]) ).
fof(f485,plain,
multiply(identity,inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f25,f484]) ).
fof(f507,plain,
double_divide(inverse(identity),inverse(identity)) = inverse(multiply(identity,identity)),
inference(paramodulation,[status(thm)],[f485,f180]) ).
fof(f508,plain,
double_divide(inverse(identity),inverse(identity)) = multiply(identity,inverse(identity)),
inference(forward_demodulation,[status(thm)],[f25,f507]) ).
fof(f509,plain,
double_divide(inverse(identity),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f485,f508]) ).
fof(f512,plain,
! [X0] : double_divide(inverse(identity),multiply(X0,double_divide(identity,identity))) = inverse(X0),
inference(paramodulation,[status(thm)],[f485,f22]) ).
fof(f513,plain,
! [X0] : double_divide(inverse(identity),multiply(X0,inverse(identity))) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f8,f512]) ).
fof(f539,plain,
inverse(multiply(identity,identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f509,f462]) ).
fof(f540,plain,
multiply(identity,inverse(identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f25,f539]) ).
fof(f541,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f485,f540]) ).
fof(f569,plain,
! [X0] : inverse(multiply(double_divide(X0,identity),identity)) = X0,
inference(backward_demodulation,[status(thm)],[f541,f462]) ).
fof(f570,plain,
! [X0] : inverse(multiply(inverse(X0),identity)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f569]) ).
fof(f593,plain,
! [X0] : double_divide(inverse(identity),multiply(X0,identity)) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f541,f513]) ).
fof(f594,plain,
! [X0] : double_divide(identity,multiply(X0,identity)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f541,f593]) ).
fof(f626,plain,
! [X0,X1] : double_divide(X0,inverse(multiply(double_divide(inverse(X0),X1),identity))) = inverse(multiply(double_divide(identity,double_divide(identity,X1)),identity)),
inference(backward_demodulation,[status(thm)],[f541,f337]) ).
fof(f641,plain,
! [X0] : inverse(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X0))),identity)) = X0,
inference(backward_demodulation,[status(thm)],[f626,f64]) ).
fof(f715,plain,
! [X0] : inverse(multiply(X0,identity)) = multiply(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f570,f570]) ).
fof(f738,plain,
! [X0] : multiply(inverse(double_divide(identity,double_divide(identity,double_divide(identity,X0)))),identity) = X0,
inference(backward_demodulation,[status(thm)],[f715,f641]) ).
fof(f739,plain,
! [X0] : multiply(multiply(double_divide(identity,double_divide(identity,X0)),identity),identity) = X0,
inference(forward_demodulation,[status(thm)],[f13,f738]) ).
fof(f817,plain,
! [X0] : multiply(multiply(X0,identity),identity) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f594,f13]) ).
fof(f818,plain,
! [X0] : multiply(multiply(X0,identity),identity) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f15,f817]) ).
fof(f828,plain,
! [X0] : multiply(identity,double_divide(identity,double_divide(identity,X0))) = X0,
inference(backward_demodulation,[status(thm)],[f818,f739]) ).
fof(f829,plain,
! [X0] : inverse(multiply(double_divide(identity,X0),identity)) = X0,
inference(forward_demodulation,[status(thm)],[f26,f828]) ).
fof(f830,plain,
! [X0] : multiply(inverse(double_divide(identity,X0)),identity) = X0,
inference(forward_demodulation,[status(thm)],[f715,f829]) ).
fof(f831,plain,
! [X0] : multiply(multiply(X0,identity),identity) = X0,
inference(forward_demodulation,[status(thm)],[f13,f830]) ).
fof(f832,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f818,f831]) ).
fof(f835,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f832,f10]) ).
fof(f836,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f835]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP488-1 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 May 30 11:26:58 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.20/0.45 % Refutation found
% 0.20/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.47 % Elapsed time: 0.121755 seconds
% 0.20/0.47 % CPU time: 0.430310 seconds
% 0.20/0.47 % Memory used: 9.634 MB
%------------------------------------------------------------------------------