TSTP Solution File: GRP547-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP547-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:20:55 EDT 2024
% Result : Unsatisfiable 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 5
% Syntax : Number of formulae : 81 ( 81 unt; 0 def)
% Number of atoms : 81 ( 80 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 196 ( 196 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(identity,divide(A,B)),divide(divide(B,C),A)) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,divide(identity,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = divide(identity,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = divide(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : divide(divide(identity,divide(X0,X1)),divide(divide(X1,X2),X0)) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0] : identity = divide(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,X1)),divide(divide(X1,X2),X0)) = X2,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f12,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f13,plain,
inverse(identity) = identity,
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f15,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f12]) ).
fof(f21,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,multiply(identity,X1)),
inference(paramodulation,[status(thm)],[f15,f12]) ).
fof(f67,plain,
! [X0,X1,X2,X3] : divide(inverse(X0),divide(divide(divide(divide(X1,X0),X2),X3),inverse(divide(X2,X1)))) = X3,
inference(paramodulation,[status(thm)],[f11,f11]) ).
fof(f68,plain,
! [X0,X1,X2,X3] : divide(inverse(X0),multiply(divide(divide(divide(X1,X0),X2),X3),divide(X2,X1))) = X3,
inference(forward_demodulation,[status(thm)],[f12,f67]) ).
fof(f69,plain,
! [X0,X1] : divide(inverse(inverse(X0)),divide(divide(X0,X1),identity)) = X1,
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f70,plain,
! [X0,X1] : divide(multiply(identity,X0),divide(divide(X0,X1),identity)) = X1,
inference(forward_demodulation,[status(thm)],[f15,f69]) ).
fof(f72,plain,
! [X0,X1,X2] : divide(inverse(multiply(X0,X1)),divide(divide(inverse(X1),X2),X0)) = X2,
inference(paramodulation,[status(thm)],[f12,f11]) ).
fof(f73,plain,
! [X0,X1] : divide(inverse(identity),divide(divide(X0,X1),X0)) = X1,
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f74,plain,
! [X0,X1] : divide(identity,divide(divide(X0,X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f13,f73]) ).
fof(f75,plain,
! [X0,X1] : inverse(divide(divide(X0,X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f74]) ).
fof(f77,plain,
! [X0,X1,X2] : divide(inverse(divide(inverse(X0),X1)),multiply(divide(X1,X2),X0)) = X2,
inference(paramodulation,[status(thm)],[f12,f11]) ).
fof(f78,plain,
! [X0,X1] : divide(inverse(divide(divide(X0,X1),X0)),identity) = X1,
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f79,plain,
! [X0] : divide(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f75,f78]) ).
fof(f80,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(X0,inverse(divide(X1,X2)))),divide(X3,X0)) = divide(divide(X2,X3),X1),
inference(paramodulation,[status(thm)],[f11,f11]) ).
fof(f81,plain,
! [X0,X1,X2,X3] : divide(inverse(multiply(X0,divide(X1,X2))),divide(X3,X0)) = divide(divide(X2,X3),X1),
inference(forward_demodulation,[status(thm)],[f12,f80]) ).
fof(f85,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,X1)),divide(multiply(X1,X2),X0)) = inverse(X2),
inference(paramodulation,[status(thm)],[f12,f11]) ).
fof(f86,plain,
! [X0,X1] : divide(inverse(divide(X0,X1)),divide(identity,X0)) = X1,
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f87,plain,
! [X0,X1] : divide(inverse(divide(X0,X1)),inverse(X0)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f86]) ).
fof(f88,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f12,f87]) ).
fof(f91,plain,
! [X0,X1] : divide(multiply(identity,X0),divide(X0,X1)) = X1,
inference(backward_demodulation,[status(thm)],[f79,f70]) ).
fof(f101,plain,
! [X0,X1,X2] : multiply(inverse(X0),inverse(divide(X1,X2))) = divide(divide(X2,X0),X1),
inference(paramodulation,[status(thm)],[f11,f88]) ).
fof(f107,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(paramodulation,[status(thm)],[f9,f88]) ).
fof(f108,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f13,f107]) ).
fof(f112,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(backward_demodulation,[status(thm)],[f108,f21]) ).
fof(f124,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(backward_demodulation,[status(thm)],[f108,f91]) ).
fof(f129,plain,
! [X0,X1,X2] : divide(inverse(X0),divide(X1,X2)) = divide(divide(X2,X0),X1),
inference(backward_demodulation,[status(thm)],[f112,f101]) ).
fof(f132,plain,
! [X0,X1,X2] : divide(divide(X0,divide(X0,X1)),multiply(X1,X2)) = inverse(X2),
inference(backward_demodulation,[status(thm)],[f129,f85]) ).
fof(f133,plain,
! [X0,X1] : divide(X0,multiply(X0,X1)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f124,f132]) ).
fof(f136,plain,
! [X0,X1,X2,X3] : divide(divide(X0,multiply(X0,divide(X1,X2))),X3) = divide(divide(X2,X3),X1),
inference(backward_demodulation,[status(thm)],[f129,f81]) ).
fof(f137,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,X1)),X2) = divide(divide(X1,X2),X0),
inference(forward_demodulation,[status(thm)],[f133,f136]) ).
fof(f138,plain,
! [X0,X1,X2] : divide(divide(X0,multiply(X0,X1)),divide(inverse(X1),X2)) = X2,
inference(backward_demodulation,[status(thm)],[f129,f72]) ).
fof(f139,plain,
! [X0,X1] : divide(inverse(X0),divide(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f133,f138]) ).
fof(f140,plain,
! [X0,X1] : divide(divide(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f129,f139]) ).
fof(f141,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f12,f140]) ).
fof(f145,plain,
! [X0,X1,X2] : divide(divide(X0,multiply(divide(X0,X1),X2)),inverse(X2)) = X1,
inference(backward_demodulation,[status(thm)],[f137,f77]) ).
fof(f146,plain,
! [X0,X1,X2] : multiply(divide(X0,multiply(divide(X0,X1),X2)),X2) = X1,
inference(forward_demodulation,[status(thm)],[f12,f145]) ).
fof(f196,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),inverse(X1)) = multiply(divide(divide(divide(X2,X1),X3),X0),divide(X3,X2)),
inference(paramodulation,[status(thm)],[f68,f88]) ).
fof(f197,plain,
! [X0,X1,X2,X3] : divide(inverse(X0),X1) = multiply(divide(divide(divide(X2,X1),X3),X0),divide(X3,X2)),
inference(forward_demodulation,[status(thm)],[f112,f196]) ).
fof(f209,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f12,f141]) ).
fof(f210,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f112,f209]) ).
fof(f217,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(paramodulation,[status(thm)],[f88,f210]) ).
fof(f223,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f210,f88]) ).
fof(f253,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f223,f133]) ).
fof(f254,plain,
! [X0,X1] : divide(X0,multiply(X1,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f223,f210]) ).
fof(f285,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f124,f141]) ).
fof(f287,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f210,f285]) ).
fof(f299,plain,
! [X0,X1] : multiply(inverse(X0),X1) = divide(X1,X0),
inference(paramodulation,[status(thm)],[f285,f223]) ).
fof(f327,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(paramodulation,[status(thm)],[f287,f10]) ).
fof(f415,plain,
! [X0,X1,X2] : multiply(divide(X0,multiply(X1,X2)),X2) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f124,f146]) ).
fof(f416,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,multiply(X2,X0))) = divide(X1,X2),
inference(forward_demodulation,[status(thm)],[f287,f415]) ).
fof(f438,plain,
! [X0,X1,X2] : divide(X0,X1) = inverse(divide(X2,multiply(divide(X2,X1),X0))),
inference(paramodulation,[status(thm)],[f146,f254]) ).
fof(f439,plain,
! [X0,X1,X2] : divide(X0,X1) = divide(multiply(divide(X2,X1),X0),X2),
inference(forward_demodulation,[status(thm)],[f217,f438]) ).
fof(f496,plain,
! [X0,X1,X2] : multiply(divide(inverse(X0),X1),X2) = divide(X2,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f253,f299]) ).
fof(f501,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X1),X2)),
inference(paramodulation,[status(thm)],[f253,f12]) ).
fof(f597,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = multiply(divide(X0,X2),X1),
inference(paramodulation,[status(thm)],[f439,f285]) ).
fof(f626,plain,
! [X0,X1,X2] : multiply(inverse(X0),divide(X1,X2)) = divide(X1,multiply(X0,X2)),
inference(backward_demodulation,[status(thm)],[f597,f496]) ).
fof(f627,plain,
! [X0,X1,X2] : divide(divide(X0,X1),X2) = divide(X0,multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f299,f626]) ).
fof(f640,plain,
! [X0,X1,X2,X3] : divide(inverse(X0),X1) = multiply(divide(divide(X2,X1),X3),divide(divide(X3,X2),X0)),
inference(backward_demodulation,[status(thm)],[f597,f197]) ).
fof(f641,plain,
! [X0,X1,X2,X3] : divide(inverse(X0),X1) = multiply(divide(X2,X1),divide(divide(divide(X3,X2),X0),X3)),
inference(forward_demodulation,[status(thm)],[f597,f640]) ).
fof(f642,plain,
! [X0,X1,X2,X3] : divide(inverse(X0),X1) = multiply(X2,divide(divide(divide(divide(X3,X2),X0),X3),X1)),
inference(forward_demodulation,[status(thm)],[f597,f641]) ).
fof(f643,plain,
! [X0,X1,X2,X3] : divide(inverse(X0),X1) = multiply(X2,divide(divide(divide(X3,X2),X0),multiply(X1,X3))),
inference(forward_demodulation,[status(thm)],[f627,f642]) ).
fof(f644,plain,
! [X0,X1,X2,X3] : divide(inverse(X0),X1) = multiply(X2,divide(divide(X3,X2),multiply(multiply(X1,X3),X0))),
inference(forward_demodulation,[status(thm)],[f627,f643]) ).
fof(f645,plain,
! [X0,X1,X2,X3] : divide(inverse(X0),X1) = multiply(X2,divide(X3,multiply(multiply(multiply(X1,X3),X0),X2))),
inference(forward_demodulation,[status(thm)],[f627,f644]) ).
fof(f646,plain,
! [X0,X1,X2] : divide(inverse(X0),X1) = divide(X2,multiply(multiply(X1,X2),X0)),
inference(forward_demodulation,[status(thm)],[f416,f645]) ).
fof(f807,plain,
! [X0,X1,X2] : divide(X0,divide(inverse(X1),X2)) = multiply(multiply(X2,X0),X1),
inference(paramodulation,[status(thm)],[f646,f124]) ).
fof(f808,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X2,X0),X1),
inference(forward_demodulation,[status(thm)],[f501,f807]) ).
fof(f837,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f287,f808]) ).
fof(f838,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f327,f837]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP547-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 00:14:12 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 0.19/0.41 % Refutation found
% 0.19/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.42 % Elapsed time: 0.081075 seconds
% 0.19/0.42 % CPU time: 0.558227 seconds
% 0.19/0.42 % Total memory used: 19.881 MB
% 0.19/0.42 % Net memory used: 19.292 MB
%------------------------------------------------------------------------------