TSTP Solution File: GRP486-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP486-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:11:50 EDT 2023
% Result : Unsatisfiable 0.19s 0.38s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 5
% Syntax : Number of formulae : 101 ( 101 unt; 0 def)
% Number of atoms : 101 ( 100 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 166 (; 166 !; 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(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
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(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
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] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f11]) ).
fof(f15,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f16,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f15]) ).
fof(f17,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f8,f14]) ).
fof(f25,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f16,f9]) ).
fof(f26,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f15,f9]) ).
fof(f28,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f15]) ).
fof(f32,plain,
! [X0] : identity = double_divide(multiply(identity,inverse(X0)),multiply(identity,multiply(identity,X0))),
inference(paramodulation,[status(thm)],[f17,f25]) ).
fof(f126,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),double_divide(identity,identity)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f6]) ).
fof(f127,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,f126]) ).
fof(f128,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),inverse(identity)) = double_divide(double_divide(double_divide(double_divide(X0,identity),X2),X1),inverse(X2)),
inference(paramodulation,[status(thm)],[f127,f127]) ).
fof(f129,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),inverse(identity)) = double_divide(double_divide(double_divide(inverse(X0),X2),X1),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f8,f128]) ).
fof(f132,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f26,f127]) ).
fof(f135,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(double_divide(X0,X1)),inverse(X1))),inverse(identity)) = identity,
inference(paramodulation,[status(thm)],[f8,f127]) ).
fof(f136,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(multiply(X1,X0),inverse(X1))),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f15,f135]) ).
fof(f148,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),inverse(inverse(X0)))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f9,f127]) ).
fof(f149,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),multiply(identity,X0))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f16,f148]) ).
fof(f244,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = multiply(X1,double_divide(inverse(X0),identity)),
inference(paramodulation,[status(thm)],[f129,f132]) ).
fof(f245,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,double_divide(inverse(X1),identity)),
inference(forward_demodulation,[status(thm)],[f132,f244]) ).
fof(f246,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,inverse(inverse(X1))),
inference(forward_demodulation,[status(thm)],[f8,f245]) ).
fof(f247,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(identity,X1)),
inference(forward_demodulation,[status(thm)],[f16,f246]) ).
fof(f248,plain,
! [X0] : double_divide(double_divide(X0,identity),inverse(identity)) = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f9,f132]) ).
fof(f249,plain,
! [X0] : double_divide(inverse(X0),inverse(identity)) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f8,f248]) ).
fof(f275,plain,
! [X0] : identity = double_divide(multiply(identity,inverse(X0)),multiply(identity,X0)),
inference(backward_demodulation,[status(thm)],[f247,f32]) ).
fof(f298,plain,
! [X0,X1] : double_divide(multiply(X0,X1),inverse(identity)) = multiply(identity,double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f15,f249]) ).
fof(f299,plain,
! [X0,X1] : double_divide(multiply(X0,X1),inverse(identity)) = inverse(multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f14,f298]) ).
fof(f311,plain,
! [X0] : multiply(inverse(identity),inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f249,f15]) ).
fof(f312,plain,
! [X0] : multiply(inverse(identity),inverse(X0)) = multiply(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f17,f311]) ).
fof(f561,plain,
! [X0] : multiply(inverse(identity),multiply(identity,X0)) = multiply(identity,inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f16,f312]) ).
fof(f562,plain,
! [X0] : multiply(inverse(identity),X0) = multiply(identity,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f247,f561]) ).
fof(f563,plain,
! [X0] : multiply(inverse(identity),X0) = multiply(identity,multiply(identity,X0)),
inference(forward_demodulation,[status(thm)],[f16,f562]) ).
fof(f564,plain,
! [X0] : multiply(inverse(identity),X0) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f247,f563]) ).
fof(f739,plain,
inverse(identity) = multiply(identity,identity),
inference(paramodulation,[status(thm)],[f28,f564]) ).
fof(f772,plain,
identity = double_divide(multiply(identity,inverse(identity)),inverse(identity)),
inference(paramodulation,[status(thm)],[f739,f275]) ).
fof(f773,plain,
identity = inverse(multiply(identity,inverse(identity))),
inference(forward_demodulation,[status(thm)],[f299,f772]) ).
fof(f774,plain,
identity = multiply(identity,inverse(inverse(identity))),
inference(forward_demodulation,[status(thm)],[f17,f773]) ).
fof(f775,plain,
identity = multiply(identity,multiply(identity,identity)),
inference(forward_demodulation,[status(thm)],[f16,f774]) ).
fof(f776,plain,
identity = multiply(identity,identity),
inference(forward_demodulation,[status(thm)],[f247,f775]) ).
fof(f777,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f739,f776]) ).
fof(f813,plain,
identity = multiply(identity,identity),
inference(backward_demodulation,[status(thm)],[f777,f739]) ).
fof(f814,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(multiply(X1,X0),inverse(X1))),identity) = identity,
inference(backward_demodulation,[status(thm)],[f777,f136]) ).
fof(f815,plain,
! [X0,X1] : inverse(double_divide(X0,double_divide(multiply(X1,X0),inverse(X1)))) = identity,
inference(forward_demodulation,[status(thm)],[f8,f814]) ).
fof(f816,plain,
! [X0,X1] : multiply(double_divide(multiply(X0,X1),inverse(X0)),X1) = identity,
inference(forward_demodulation,[status(thm)],[f15,f815]) ).
fof(f828,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),identity) = double_divide(double_divide(double_divide(inverse(X0),X2),X1),inverse(X2)),
inference(backward_demodulation,[status(thm)],[f777,f129]) ).
fof(f829,plain,
! [X0,X1,X2] : inverse(double_divide(X0,X1)) = double_divide(double_divide(double_divide(inverse(X0),X2),X1),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f8,f828]) ).
fof(f830,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(double_divide(double_divide(inverse(X1),X2),X0),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f15,f829]) ).
fof(f831,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)],[f777,f127]) ).
fof(f832,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,f831]) ).
fof(f833,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1)),X0) = X2,
inference(forward_demodulation,[status(thm)],[f15,f832]) ).
fof(f836,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(backward_demodulation,[status(thm)],[f777,f28]) ).
fof(f917,plain,
! [X0,X1] : multiply(double_divide(double_divide(identity,X0),inverse(inverse(X1))),X1) = X0,
inference(paramodulation,[status(thm)],[f9,f833]) ).
fof(f918,plain,
! [X0,X1] : multiply(double_divide(double_divide(identity,X0),multiply(identity,X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f16,f917]) ).
fof(f919,plain,
! [X0,X1] : multiply(double_divide(double_divide(inverse(X0),X1),inverse(identity)),X0) = X1,
inference(paramodulation,[status(thm)],[f8,f833]) ).
fof(f920,plain,
! [X0,X1] : multiply(double_divide(double_divide(inverse(X0),X1),identity),X0) = X1,
inference(forward_demodulation,[status(thm)],[f777,f919]) ).
fof(f921,plain,
! [X0,X1] : multiply(inverse(double_divide(inverse(X0),X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f8,f920]) ).
fof(f922,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f15,f921]) ).
fof(f935,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),multiply(identity,X0))),identity) = X1,
inference(forward_demodulation,[status(thm)],[f777,f149]) ).
fof(f936,plain,
! [X0,X1] : inverse(double_divide(X0,double_divide(double_divide(identity,X1),multiply(identity,X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f935]) ).
fof(f937,plain,
! [X0,X1] : multiply(double_divide(double_divide(identity,X0),multiply(identity,X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f15,f936]) ).
fof(f947,plain,
! [X0] : multiply(double_divide(double_divide(identity,X0),identity),identity) = X0,
inference(paramodulation,[status(thm)],[f813,f937]) ).
fof(f948,plain,
! [X0] : multiply(inverse(double_divide(identity,X0)),identity) = X0,
inference(forward_demodulation,[status(thm)],[f8,f947]) ).
fof(f949,plain,
! [X0] : multiply(multiply(X0,identity),identity) = X0,
inference(forward_demodulation,[status(thm)],[f15,f948]) ).
fof(f978,plain,
! [X0,X1] : multiply(multiply(X0,multiply(identity,X1)),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f16,f922]) ).
fof(f979,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f247,f978]) ).
fof(f1008,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(X0),
inference(paramodulation,[status(thm)],[f836,f979]) ).
fof(f1038,plain,
! [X0,X1] : multiply(identity,multiply(X0,X1)) = inverse(double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f15,f1008]) ).
fof(f1039,plain,
! [X0,X1] : multiply(identity,multiply(X0,X1)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f15,f1038]) ).
fof(f1220,plain,
! [X0] : multiply(identity,X0) = multiply(multiply(X0,identity),identity),
inference(paramodulation,[status(thm)],[f949,f1039]) ).
fof(f1221,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f949,f1220]) ).
fof(f1258,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f1221,f14]) ).
fof(f1263,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(backward_demodulation,[status(thm)],[f1221,f16]) ).
fof(f1350,plain,
! [X0,X1] : multiply(identity,inverse(X0)) = double_divide(multiply(X1,X0),inverse(X1)),
inference(paramodulation,[status(thm)],[f816,f979]) ).
fof(f1351,plain,
! [X0,X1] : inverse(X0) = double_divide(multiply(X1,X0),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f1221,f1350]) ).
fof(f1393,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = double_divide(identity,inverse(X0)),
inference(paramodulation,[status(thm)],[f26,f830]) ).
fof(f1394,plain,
! [X0] : X0 = double_divide(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f922,f1393]) ).
fof(f1431,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(paramodulation,[status(thm)],[f1263,f1394]) ).
fof(f1525,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),multiply(identity,X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f1431,f918]) ).
fof(f1526,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f1221,f1525]) ).
fof(f1535,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f1263,f1526]) ).
fof(f1573,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f1535,f1258]) ).
fof(f1574,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f1263,f1573]) ).
fof(f1604,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f1574,f1535]) ).
fof(f2090,plain,
! [X0,X1] : inverse(double_divide(X0,X1)) = double_divide(inverse(X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f1604,f1351]) ).
fof(f2091,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X0),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f15,f2090]) ).
fof(f2584,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(double_divide(multiply(X1,X2),X0),inverse(inverse(X2))),
inference(paramodulation,[status(thm)],[f2091,f830]) ).
fof(f2585,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(double_divide(multiply(X1,X2),X0),X2),
inference(forward_demodulation,[status(thm)],[f1263,f2584]) ).
fof(f3360,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = inverse(double_divide(multiply(X1,X2),X0)),
inference(paramodulation,[status(thm)],[f2585,f1535]) ).
fof(f3361,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f15,f3360]) ).
fof(f3647,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f3361,f10]) ).
fof(f3648,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f3647]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP486-1 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 11:15:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 0.19/0.38 % Refutation found
% 0.19/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.39 % Elapsed time: 0.050977 seconds
% 0.19/0.39 % CPU time: 0.297681 seconds
% 0.19/0.39 % Memory used: 5.916 MB
%------------------------------------------------------------------------------