TSTP Solution File: GRP200-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP200-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:10:58 EDT 2023
% Result : Unsatisfiable 19.54s 2.79s
% Output : CNFRefutation 20.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 10
% Syntax : Number of formulae : 93 ( 93 unt; 0 def)
% Number of atoms : 93 ( 92 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 : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 184 (; 184 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : multiply(identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : multiply(X,identity) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : multiply(X,left_division(X,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : left_division(X,multiply(X,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : multiply(right_division(X,Y),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : right_division(multiply(X,Y),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : multiply(X,right_inverse(X)) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] : multiply(left_inverse(X),X) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] : multiply(multiply(X,multiply(Y,Z)),X) = multiply(multiply(X,Y),multiply(Z,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
multiply(multiply(multiply(a,b),c),b) != multiply(a,multiply(b,multiply(c,b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f12,plain,
! [X0] : multiply(X0,identity) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f13,plain,
! [X0,X1] : multiply(X0,left_division(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
! [X0,X1] : left_division(X0,multiply(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f15,plain,
! [X0,X1] : multiply(right_division(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f16,plain,
! [X0,X1] : right_division(multiply(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f17,plain,
! [X0] : multiply(X0,right_inverse(X0)) = identity,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f18,plain,
! [X0] : multiply(left_inverse(X0),X0) = identity,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f19,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,X2)),X0) = multiply(multiply(X0,X1),multiply(X2,X0)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f20,plain,
multiply(multiply(multiply(a,b),c),b) != multiply(a,multiply(b,multiply(c,b))),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f34,plain,
! [X0,X1] : right_division(X0,left_division(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f13,f16]) ).
fof(f39,plain,
! [X0] : right_division(identity,right_inverse(X0)) = X0,
inference(paramodulation,[status(thm)],[f17,f16]) ).
fof(f40,plain,
! [X0] : left_division(X0,identity) = right_inverse(X0),
inference(paramodulation,[status(thm)],[f17,f14]) ).
fof(f46,plain,
! [X0] : right_division(identity,X0) = left_inverse(X0),
inference(paramodulation,[status(thm)],[f18,f16]) ).
fof(f49,plain,
! [X0] : left_inverse(right_inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f46,f39]) ).
fof(f76,plain,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(multiply(X0,identity),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f11,f19]) ).
fof(f77,plain,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f12,f76]) ).
fof(f91,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,X2),X0)) = multiply(multiply(X0,X1),multiply(X2,X0)),
inference(backward_demodulation,[status(thm)],[f77,f19]) ).
fof(f121,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,multiply(left_division(X1,X0),X1)),
inference(paramodulation,[status(thm)],[f13,f77]) ).
fof(f160,plain,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X1,multiply(multiply(left_division(X1,X0),X1),X1)),
inference(paramodulation,[status(thm)],[f121,f77]) ).
fof(f162,plain,
! [X0,X1] : left_division(X0,multiply(X1,X0)) = multiply(left_division(X0,X1),X0),
inference(paramodulation,[status(thm)],[f121,f14]) ).
fof(f170,plain,
! [X0] : left_division(X0,identity) = multiply(left_division(X0,left_inverse(X0)),X0),
inference(paramodulation,[status(thm)],[f18,f162]) ).
fof(f171,plain,
! [X0] : right_inverse(X0) = multiply(left_division(X0,left_inverse(X0)),X0),
inference(forward_demodulation,[status(thm)],[f40,f170]) ).
fof(f207,plain,
! [X0] : right_division(right_inverse(X0),X0) = left_division(X0,left_inverse(X0)),
inference(paramodulation,[status(thm)],[f171,f16]) ).
fof(f252,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),multiply(multiply(multiply(X2,X0),X3),multiply(X0,X1))) = multiply(multiply(X0,multiply(multiply(X1,X2),X0)),multiply(X3,multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f91,f91]) ).
fof(f254,plain,
! [X0,X1] : multiply(left_inverse(X0),multiply(multiply(X0,X1),left_inverse(X0))) = multiply(identity,multiply(X1,left_inverse(X0))),
inference(paramodulation,[status(thm)],[f18,f91]) ).
fof(f255,plain,
! [X0,X1] : multiply(left_inverse(X0),multiply(multiply(X0,X1),left_inverse(X0))) = multiply(X1,left_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f11,f254]) ).
fof(f263,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(left_division(X0,X1),X2),X0)) = multiply(X1,multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f13,f91]) ).
fof(f265,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X1,left_division(X0,left_inverse(X0))),X0)) = multiply(multiply(X0,X1),right_inverse(X0)),
inference(paramodulation,[status(thm)],[f171,f91]) ).
fof(f268,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X1,left_inverse(X0)),X0)) = multiply(multiply(X0,X1),identity),
inference(paramodulation,[status(thm)],[f18,f91]) ).
fof(f269,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X1,left_inverse(X0)),X0)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f12,f268]) ).
fof(f284,plain,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
inference(backward_demodulation,[status(thm)],[f263,f160]) ).
fof(f393,plain,
! [X0,X1] : left_division(X0,multiply(X0,X1)) = multiply(multiply(X1,left_inverse(X0)),X0),
inference(paramodulation,[status(thm)],[f269,f14]) ).
fof(f394,plain,
! [X0,X1] : X0 = multiply(multiply(X0,left_inverse(X1)),X1),
inference(forward_demodulation,[status(thm)],[f14,f393]) ).
fof(f413,plain,
! [X0,X1] : multiply(X0,left_inverse(X1)) = multiply(multiply(X0,multiply(left_inverse(X1),left_inverse(X1))),X1),
inference(paramodulation,[status(thm)],[f284,f394]) ).
fof(f415,plain,
! [X0] : left_inverse(left_inverse(X0)) = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f18,f394]) ).
fof(f416,plain,
! [X0] : left_inverse(left_inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f11,f415]) ).
fof(f417,plain,
! [X0,X1] : right_division(X0,left_inverse(X1)) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f15,f394]) ).
fof(f433,plain,
! [X0,X1] : right_division(X0,X1) = multiply(X0,left_inverse(X1)),
inference(paramodulation,[status(thm)],[f394,f16]) ).
fof(f442,plain,
! [X0,X1] : multiply(X0,left_inverse(X1)) = multiply(multiply(X0,right_division(left_inverse(X1),X1)),X1),
inference(backward_demodulation,[status(thm)],[f433,f413]) ).
fof(f443,plain,
! [X0,X1] : right_division(X0,X1) = multiply(multiply(X0,right_division(left_inverse(X1),X1)),X1),
inference(forward_demodulation,[status(thm)],[f433,f442]) ).
fof(f446,plain,
! [X0,X1] : multiply(left_inverse(X0),right_division(multiply(X0,X1),X0)) = multiply(X1,left_inverse(X0)),
inference(backward_demodulation,[status(thm)],[f433,f255]) ).
fof(f447,plain,
! [X0,X1] : multiply(left_inverse(X0),right_division(multiply(X0,X1),X0)) = right_division(X1,X0),
inference(forward_demodulation,[status(thm)],[f433,f446]) ).
fof(f610,plain,
! [X0] : left_inverse(X0) = right_inverse(X0),
inference(paramodulation,[status(thm)],[f49,f416]) ).
fof(f648,plain,
! [X0,X1] : multiply(right_inverse(X0),right_division(multiply(X0,X1),X0)) = right_division(X1,X0),
inference(backward_demodulation,[status(thm)],[f610,f447]) ).
fof(f650,plain,
! [X0,X1] : right_division(X0,X1) = multiply(multiply(X0,right_division(right_inverse(X1),X1)),X1),
inference(backward_demodulation,[status(thm)],[f610,f443]) ).
fof(f651,plain,
! [X0,X1] : right_division(X0,X1) = multiply(multiply(X0,left_division(X1,left_inverse(X1))),X1),
inference(forward_demodulation,[status(thm)],[f207,f650]) ).
fof(f652,plain,
! [X0,X1] : right_division(X0,X1) = multiply(multiply(X0,left_division(X1,right_inverse(X1))),X1),
inference(forward_demodulation,[status(thm)],[f610,f651]) ).
fof(f655,plain,
! [X0,X1] : right_division(X0,X1) = multiply(X0,right_inverse(X1)),
inference(backward_demodulation,[status(thm)],[f610,f433]) ).
fof(f656,plain,
! [X0,X1] : right_division(X0,right_inverse(X1)) = multiply(X0,X1),
inference(backward_demodulation,[status(thm)],[f610,f417]) ).
fof(f662,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X1,left_division(X0,right_inverse(X0))),X0)) = multiply(multiply(X0,X1),right_inverse(X0)),
inference(backward_demodulation,[status(thm)],[f610,f265]) ).
fof(f663,plain,
! [X0,X1] : multiply(X0,right_division(X1,X0)) = multiply(multiply(X0,X1),right_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f652,f662]) ).
fof(f664,plain,
! [X0,X1] : multiply(X0,right_division(X1,X0)) = right_division(multiply(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f655,f663]) ).
fof(f677,plain,
! [X0,X1] : multiply(right_inverse(X0),multiply(X0,right_division(X1,X0))) = right_division(X1,X0),
inference(backward_demodulation,[status(thm)],[f664,f648]) ).
fof(f1105,plain,
! [X0,X1] : multiply(right_inverse(X0),multiply(X0,X1)) = right_division(multiply(X1,X0),X0),
inference(paramodulation,[status(thm)],[f16,f677]) ).
fof(f1106,plain,
! [X0,X1] : multiply(right_inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f16,f1105]) ).
fof(f1171,plain,
! [X0,X1] : multiply(right_inverse(X0),X1) = left_division(X0,X1),
inference(paramodulation,[status(thm)],[f13,f1106]) ).
fof(f1186,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(multiply(multiply(X2,X0),right_inverse(X0)),multiply(X0,X1))) = multiply(multiply(X0,multiply(multiply(X1,X2),X0)),X1),
inference(paramodulation,[status(thm)],[f1106,f252]) ).
fof(f1187,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(right_division(multiply(X2,X0),X0),multiply(X0,X1))) = multiply(multiply(X0,multiply(multiply(X1,X2),X0)),X1),
inference(forward_demodulation,[status(thm)],[f655,f1186]) ).
fof(f1188,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,multiply(X0,X1))) = multiply(multiply(X0,multiply(multiply(X1,X2),X0)),X1),
inference(forward_demodulation,[status(thm)],[f16,f1187]) ).
fof(f1207,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(multiply(X2,right_inverse(X0)),multiply(X0,X1))) = multiply(multiply(multiply(X0,X1),X2),X1),
inference(paramodulation,[status(thm)],[f1106,f91]) ).
fof(f1208,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(right_division(X2,X0),multiply(X0,X1))) = multiply(multiply(multiply(X0,X1),X2),X1),
inference(forward_demodulation,[status(thm)],[f655,f1207]) ).
fof(f1220,plain,
! [X0,X1] : left_division(right_inverse(X0),X1) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f1106,f14]) ).
fof(f1274,plain,
! [X0,X1] : right_division(right_inverse(X0),X1) = left_division(X0,right_inverse(X1)),
inference(paramodulation,[status(thm)],[f655,f1171]) ).
fof(f1339,plain,
! [X0,X1] : right_division(left_division(X0,X1),X1) = right_inverse(X0),
inference(paramodulation,[status(thm)],[f1171,f16]) ).
fof(f1631,plain,
! [X0,X1] : X0 = left_division(X1,right_inverse(left_division(X0,right_inverse(X1)))),
inference(paramodulation,[status(thm)],[f34,f1274]) ).
fof(f1648,plain,
! [X0,X1] : multiply(left_division(X0,right_inverse(X1)),X1) = right_inverse(X0),
inference(paramodulation,[status(thm)],[f1274,f15]) ).
fof(f1681,plain,
! [X0,X1] : multiply(X0,X1) = right_inverse(left_division(X1,right_inverse(X0))),
inference(paramodulation,[status(thm)],[f1631,f13]) ).
fof(f1739,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,left_division(X2,right_inverse(X0))),X0)) = multiply(multiply(X0,X1),right_inverse(X2)),
inference(paramodulation,[status(thm)],[f1648,f91]) ).
fof(f1740,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,left_division(X2,right_inverse(X0))),X0)) = right_division(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f655,f1739]) ).
fof(f1773,plain,
! [X0,X1,X2] : right_division(X0,multiply(X1,X2)) = multiply(X0,left_division(X2,right_inverse(X1))),
inference(paramodulation,[status(thm)],[f1681,f656]) ).
fof(f1800,plain,
! [X0,X1,X2] : multiply(X0,multiply(right_division(X1,multiply(X0,X2)),X0)) = right_division(multiply(X0,X1),X2),
inference(backward_demodulation,[status(thm)],[f1773,f1740]) ).
fof(f4316,plain,
! [X0,X1,X2] : multiply(X0,multiply(right_inverse(X1),X0)) = right_division(multiply(X0,left_division(X1,multiply(X0,X2))),X2),
inference(paramodulation,[status(thm)],[f1339,f1800]) ).
fof(f4317,plain,
! [X0,X1,X2] : multiply(X0,left_division(X1,X0)) = right_division(multiply(X0,left_division(X1,multiply(X0,X2))),X2),
inference(forward_demodulation,[status(thm)],[f1171,f4316]) ).
fof(f7975,plain,
! [X0,X1,X2] : multiply(multiply(X0,left_division(X1,X0)),X2) = multiply(X0,left_division(X1,multiply(X0,X2))),
inference(paramodulation,[status(thm)],[f4317,f15]) ).
fof(f12229,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,X0)),X2) = multiply(X0,left_division(right_inverse(X1),multiply(X0,X2))),
inference(paramodulation,[status(thm)],[f1220,f7975]) ).
fof(f12230,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,X0)),X2) = multiply(X0,multiply(X1,multiply(X0,X2))),
inference(forward_demodulation,[status(thm)],[f1220,f12229]) ).
fof(f13121,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,multiply(X0,X1))) = multiply(X0,multiply(multiply(X1,X2),multiply(X0,X1))),
inference(backward_demodulation,[status(thm)],[f12230,f1188]) ).
fof(f13122,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,multiply(X0,X1))) = multiply(X0,multiply(X1,multiply(multiply(X2,X0),X1))),
inference(forward_demodulation,[status(thm)],[f91,f13121]) ).
fof(f13948,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(multiply(right_division(X2,X0),X0),X1))) = multiply(multiply(multiply(X0,X1),X2),X1),
inference(backward_demodulation,[status(thm)],[f13122,f1208]) ).
fof(f13949,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X2,X1))) = multiply(multiply(multiply(X0,X1),X2),X1),
inference(forward_demodulation,[status(thm)],[f15,f13948]) ).
fof(f14046,plain,
multiply(a,multiply(b,multiply(c,b))) != multiply(a,multiply(b,multiply(c,b))),
inference(backward_demodulation,[status(thm)],[f13949,f20]) ).
fof(f14047,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f14046]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : GRP200-1 : TPTP v8.1.2. Released v2.2.0.
% 0.05/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue May 30 11:35:01 EDT 2023
% 0.07/0.27 % CPUTime :
% 0.07/0.28 % Drodi V3.5.1
% 19.54/2.79 % Refutation found
% 19.54/2.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 19.54/2.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 20.51/2.90 % Elapsed time: 2.614631 seconds
% 20.51/2.90 % CPU time: 20.404066 seconds
% 20.51/2.90 % Memory used: 595.734 MB
%------------------------------------------------------------------------------