TSTP Solution File: GRP574-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP574-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:20:59 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 5
% Syntax : Number of formulae : 70 ( 70 unt; 0 def)
% Number of atoms : 70 ( 69 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 : 8 ( 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(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B,
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(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
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] : multiply(identity,double_divide(X0,X1)) = double_divide(multiply(X1,X0),identity),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f14,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity)) = double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),double_divide(X2,identity))),
inference(paramodulation,[status(thm)],[f6,f6]) ).
fof(f21,plain,
! [X0,X1,X2] : multiply(double_divide(identity,identity),double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity)))) = double_divide(X1,identity),
inference(paramodulation,[status(thm)],[f6,f7]) ).
fof(f51,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity))),double_divide(identity,identity)) = double_divide(identity,double_divide(X1,double_divide(identity,identity))),
inference(paramodulation,[status(thm)],[f14,f6]) ).
fof(f52,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,identity)) = double_divide(identity,double_divide(X0,double_divide(identity,identity))),
inference(forward_demodulation,[status(thm)],[f6,f51]) ).
fof(f97,plain,
! [X0,X1,X2] : double_divide(identity,double_divide(double_divide(X0,double_divide(identity,identity)),double_divide(identity,identity))) = double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),double_divide(X2,identity))),
inference(backward_demodulation,[status(thm)],[f52,f14]) ).
fof(f373,plain,
! [X0,X1,X2] : multiply(inverse(identity),double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity)))) = double_divide(X1,identity),
inference(backward_demodulation,[status(thm)],[f8,f21]) ).
fof(f374,plain,
! [X0,X1,X2] : multiply(inverse(identity),double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2)))) = double_divide(X1,identity),
inference(forward_demodulation,[status(thm)],[f8,f373]) ).
fof(f375,plain,
! [X0,X1,X2] : multiply(inverse(identity),double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2)))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f8,f374]) ).
fof(f392,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),inverse(identity)) = X1,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f393,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f392]) ).
fof(f394,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f11]) ).
fof(f395,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f397,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f395]) ).
fof(f398,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f395,f9]) ).
fof(f400,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f397,f397]) ).
fof(f475,plain,
! [X0,X1,X2] : double_divide(identity,double_divide(double_divide(X0,inverse(identity)),double_divide(identity,identity))) = double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),double_divide(X2,identity))),
inference(forward_demodulation,[status(thm)],[f8,f97]) ).
fof(f476,plain,
! [X0,X1,X2] : double_divide(identity,double_divide(double_divide(X0,inverse(identity)),inverse(identity))) = double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),double_divide(X2,identity))),
inference(forward_demodulation,[status(thm)],[f8,f475]) ).
fof(f477,plain,
! [X0,X1,X2] : double_divide(identity,double_divide(double_divide(X0,inverse(identity)),inverse(identity))) = double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),inverse(X2))),
inference(forward_demodulation,[status(thm)],[f8,f476]) ).
fof(f478,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(X0,inverse(identity)),inverse(identity))),inverse(identity)) = X0,
inference(backward_demodulation,[status(thm)],[f477,f393]) ).
fof(f501,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) = identity,
inference(paramodulation,[status(thm)],[f9,f478]) ).
fof(f502,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f9,f501]) ).
fof(f503,plain,
double_divide(inverse(identity),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f8,f502]) ).
fof(f510,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f503,f478]) ).
fof(f511,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f9,f510]) ).
fof(f512,plain,
double_divide(inverse(identity),inverse(identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f8,f511]) ).
fof(f513,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f503,f512]) ).
fof(f521,plain,
double_divide(inverse(identity),identity) = identity,
inference(backward_demodulation,[status(thm)],[f513,f503]) ).
fof(f522,plain,
inverse(inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f8,f521]) ).
fof(f523,plain,
multiply(identity,identity) = identity,
inference(forward_demodulation,[status(thm)],[f397,f522]) ).
fof(f524,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(X0,inverse(identity)),inverse(identity))),identity) = X0,
inference(backward_demodulation,[status(thm)],[f513,f478]) ).
fof(f525,plain,
! [X0] : inverse(double_divide(identity,double_divide(double_divide(X0,inverse(identity)),inverse(identity)))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f524]) ).
fof(f526,plain,
! [X0] : multiply(double_divide(double_divide(X0,inverse(identity)),inverse(identity)),identity) = X0,
inference(forward_demodulation,[status(thm)],[f395,f525]) ).
fof(f527,plain,
! [X0] : multiply(double_divide(double_divide(X0,identity),inverse(identity)),identity) = X0,
inference(forward_demodulation,[status(thm)],[f513,f526]) ).
fof(f528,plain,
! [X0] : multiply(double_divide(inverse(X0),inverse(identity)),identity) = X0,
inference(forward_demodulation,[status(thm)],[f8,f527]) ).
fof(f529,plain,
! [X0] : multiply(double_divide(inverse(X0),identity),identity) = X0,
inference(forward_demodulation,[status(thm)],[f513,f528]) ).
fof(f530,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(forward_demodulation,[status(thm)],[f8,f529]) ).
fof(f531,plain,
! [X0] : multiply(multiply(identity,X0),identity) = X0,
inference(forward_demodulation,[status(thm)],[f397,f530]) ).
fof(f561,plain,
! [X0,X1] : multiply(inverse(multiply(X0,X1)),identity) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f394,f531]) ).
fof(f562,plain,
! [X0] : identity = double_divide(double_divide(identity,multiply(identity,X0)),X0),
inference(paramodulation,[status(thm)],[f531,f398]) ).
fof(f642,plain,
! [X0,X1,X2] : multiply(identity,double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2)))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f513,f375]) ).
fof(f643,plain,
! [X0,X1,X2] : inverse(multiply(double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X1)),X2)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f394,f642]) ).
fof(f650,plain,
! [X0,X1] : inverse(multiply(double_divide(double_divide(X0,identity),inverse(double_divide(identity,multiply(identity,X1)))),X1)) = inverse(X0),
inference(paramodulation,[status(thm)],[f562,f643]) ).
fof(f651,plain,
! [X0,X1] : inverse(multiply(double_divide(inverse(X0),inverse(double_divide(identity,multiply(identity,X1)))),X1)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f8,f650]) ).
fof(f652,plain,
! [X0,X1] : inverse(multiply(double_divide(inverse(X0),multiply(multiply(identity,X1),identity)),X1)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f395,f651]) ).
fof(f653,plain,
! [X0,X1] : inverse(multiply(double_divide(inverse(X0),X1),X1)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f531,f652]) ).
fof(f761,plain,
! [X0] : inverse(multiply(double_divide(identity,X0),X0)) = inverse(identity),
inference(paramodulation,[status(thm)],[f513,f653]) ).
fof(f762,plain,
! [X0] : inverse(multiply(double_divide(identity,X0),X0)) = identity,
inference(forward_demodulation,[status(thm)],[f513,f761]) ).
fof(f788,plain,
! [X0] : multiply(identity,identity) = double_divide(X0,double_divide(identity,X0)),
inference(paramodulation,[status(thm)],[f762,f561]) ).
fof(f789,plain,
! [X0] : identity = double_divide(X0,double_divide(identity,X0)),
inference(forward_demodulation,[status(thm)],[f523,f788]) ).
fof(f822,plain,
! [X0] : inverse(multiply(double_divide(identity,inverse(identity)),X0)) = inverse(X0),
inference(paramodulation,[status(thm)],[f789,f643]) ).
fof(f823,plain,
! [X0] : inverse(multiply(identity,X0)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f9,f822]) ).
fof(f824,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f400,f823]) ).
fof(f870,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = double_divide(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f824,f561]) ).
fof(f871,plain,
! [X0] : multiply(multiply(identity,X0),identity) = double_divide(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f397,f870]) ).
fof(f872,plain,
! [X0] : X0 = double_divide(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f531,f871]) ).
fof(f873,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f8,f872]) ).
fof(f874,plain,
! [X0] : X0 = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f397,f873]) ).
fof(f882,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f874,f10]) ).
fof(f883,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f882]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP574-1 : 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 : n026.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 00:49:49 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.037838 seconds
% 0.13/0.39 % CPU time: 0.219341 seconds
% 0.13/0.39 % Total memory used: 14.674 MB
% 0.13/0.39 % Net memory used: 14.307 MB
%------------------------------------------------------------------------------