TSTP Solution File: GRP048-10 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP048-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:09:50 EDT 2023
% Result : Unsatisfiable 14.33s 2.11s
% Output : CNFRefutation 15.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 10
% Syntax : Number of formulae : 88 ( 88 unt; 0 def)
% Number of atoms : 88 ( 87 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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; 0-4 aty)
% Number of variables : 161 (; 161 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : product(identity,X,X) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : product(inverse(X),X,identity) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,W,Z] : ifeq(product(X,Y,W),true,ifeq(product(X,Y,Z),true,equalish(Z,W),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [U,Z,W,Y,V,X] : ifeq(product(U,Z,W),true,ifeq(product(Y,Z,V),true,ifeq(product(X,Y,U),true,product(X,V,W),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [Y,Z,V,X,W,U] : ifeq(product(Y,Z,V),true,ifeq(product(X,V,W),true,ifeq(product(X,Y,U),true,product(U,Z,W),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,W,Z] : ifeq(equalish(X,Y),true,ifeq(product(W,Z,X),true,product(W,Z,Y),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
equalish(a,b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
equalish(inverse(a),inverse(b)) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f12,plain,
! [X0] : product(identity,X0,X0) = true,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f13,plain,
! [X0] : product(inverse(X0),X0,identity) = true,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
! [X0,X1] : product(X0,X1,multiply(X0,X1)) = true,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : ifeq(product(X0,X1,X2),true,ifeq(product(X0,X1,X3),true,equalish(X3,X2),true),true) = true,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4,X5] : ifeq(product(X0,X1,X2),true,ifeq(product(X3,X1,X4),true,ifeq(product(X5,X3,X0),true,product(X5,X4,X2),true),true),true) = true,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4,X5] : ifeq(product(X0,X1,X2),true,ifeq(product(X3,X2,X4),true,ifeq(product(X3,X0,X5),true,product(X5,X1,X4),true),true),true) = true,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : ifeq(equalish(X0,X1),true,ifeq(product(X2,X3,X0),true,product(X2,X3,X1),true),true) = true,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f19,plain,
equalish(a,b) = true,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f20,plain,
equalish(inverse(a),inverse(b)) != true,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f22,plain,
! [X0,X1] : ifeq(true,true,ifeq(product(X0,X1,a),true,product(X0,X1,b),true),true) = true,
inference(paramodulation,[status(thm)],[f19,f18]) ).
fof(f23,plain,
! [X0,X1] : true = ifeq(product(X0,X1,a),true,product(X0,X1,b),true),
inference(paramodulation,[status(thm)],[f22,f11]) ).
fof(f28,plain,
true = ifeq(true,true,product(identity,a,b),true),
inference(paramodulation,[status(thm)],[f12,f23]) ).
fof(f34,plain,
! [X0,X1] : ifeq(equalish(X0,X1),true,ifeq(true,true,product(identity,X0,X1),true),true) = true,
inference(paramodulation,[status(thm)],[f12,f18]) ).
fof(f35,plain,
! [X0,X1] : ifeq(equalish(X0,X1),true,product(identity,X0,X1),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f34]) ).
fof(f36,plain,
! [X0,X1] : ifeq(product(identity,X0,X1),true,ifeq(true,true,equalish(X0,X1),true),true) = true,
inference(paramodulation,[status(thm)],[f12,f15]) ).
fof(f37,plain,
! [X0,X1] : ifeq(product(identity,X0,X1),true,equalish(X0,X1),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f36]) ).
fof(f38,plain,
! [X0,X1] : ifeq(true,true,ifeq(product(identity,X0,X1),true,equalish(X1,X0),true),true) = true,
inference(paramodulation,[status(thm)],[f12,f15]) ).
fof(f39,plain,
true = product(identity,a,b),
inference(paramodulation,[status(thm)],[f11,f28]) ).
fof(f50,plain,
! [X0] : ifeq(product(identity,a,X0),true,ifeq(true,true,equalish(b,X0),true),true) = true,
inference(paramodulation,[status(thm)],[f39,f15]) ).
fof(f51,plain,
! [X0] : ifeq(product(identity,a,X0),true,equalish(b,X0),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f50]) ).
fof(f87,plain,
! [X0,X1,X2] : ifeq(equalish(multiply(X0,X1),X2),true,ifeq(true,true,product(X0,X1,X2),true),true) = true,
inference(paramodulation,[status(thm)],[f14,f18]) ).
fof(f88,plain,
! [X0,X1,X2] : ifeq(equalish(multiply(X0,X1),X2),true,product(X0,X1,X2),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f87]) ).
fof(f125,plain,
ifeq(true,true,equalish(b,a),true) = true,
inference(paramodulation,[status(thm)],[f12,f51]) ).
fof(f132,plain,
! [X0,X1,X2,X3] : ifeq(true,true,ifeq(product(X0,X1,X2),true,ifeq(product(X3,X0,inverse(X1)),true,product(X3,X2,identity),true),true),true) = true,
inference(paramodulation,[status(thm)],[f13,f16]) ).
fof(f134,plain,
! [X0,X1,X2,X3] : ifeq(true,true,ifeq(product(X0,X1,X2),true,ifeq(product(X3,X0,identity),true,product(X3,X2,X1),true),true),true) = true,
inference(paramodulation,[status(thm)],[f12,f16]) ).
fof(f165,plain,
! [X0,X1,X2,X3] : ifeq(product(X0,X1,X2),true,ifeq(true,true,ifeq(product(identity,X0,X3),true,product(X3,X1,X2),true),true),true) = true,
inference(paramodulation,[status(thm)],[f12,f17]) ).
fof(f166,plain,
! [X0,X1,X2,X3] : ifeq(product(X0,X1,X2),true,ifeq(product(identity,X0,X3),true,product(X3,X1,X2),true),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f165]) ).
fof(f170,plain,
! [X0,X1,X2,X3] : ifeq(product(X0,X1,X2),true,ifeq(product(inverse(X0),X2,X3),true,ifeq(true,true,product(identity,X1,X3),true),true),true) = true,
inference(paramodulation,[status(thm)],[f13,f17]) ).
fof(f171,plain,
! [X0,X1,X2,X3] : ifeq(product(X0,X1,X2),true,ifeq(product(inverse(X0),X2,X3),true,product(identity,X1,X3),true),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f170]) ).
fof(f182,plain,
! [X0,X1] : ifeq(product(identity,X0,X1),true,equalish(X1,X0),true) = true,
inference(paramodulation,[status(thm)],[f11,f38]) ).
fof(f198,plain,
equalish(b,a) = true,
inference(paramodulation,[status(thm)],[f11,f125]) ).
fof(f213,plain,
ifeq(true,true,product(identity,b,a),true) = true,
inference(paramodulation,[status(thm)],[f198,f35]) ).
fof(f253,plain,
product(identity,b,a) = true,
inference(paramodulation,[status(thm)],[f11,f213]) ).
fof(f481,plain,
! [X0,X1] : ifeq(true,true,ifeq(true,true,ifeq(product(X0,identity,inverse(X1)),true,product(X0,X1,identity),true),true),true) = true,
inference(paramodulation,[status(thm)],[f12,f132]) ).
fof(f482,plain,
! [X0,X1] : ifeq(true,true,ifeq(product(X0,identity,inverse(X1)),true,product(X0,X1,identity),true),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f481]) ).
fof(f493,plain,
! [X0,X1,X2,X3] : ifeq(product(X0,X1,X2),true,ifeq(product(X3,X0,identity),true,product(X3,X2,X1),true),true) = true,
inference(paramodulation,[status(thm)],[f11,f134]) ).
fof(f494,plain,
! [X0,X1] : ifeq(true,true,ifeq(true,true,ifeq(product(X0,inverse(X1),identity),true,product(X0,identity,X1),true),true),true) = true,
inference(paramodulation,[status(thm)],[f13,f134]) ).
fof(f495,plain,
! [X0,X1] : ifeq(true,true,ifeq(product(X0,inverse(X1),identity),true,product(X0,identity,X1),true),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f494]) ).
fof(f2823,plain,
! [X0,X1] : ifeq(product(b,X0,X1),true,ifeq(true,true,product(a,X0,X1),true),true) = true,
inference(paramodulation,[status(thm)],[f253,f166]) ).
fof(f2824,plain,
! [X0,X1] : ifeq(product(b,X0,X1),true,product(a,X0,X1),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f2823]) ).
fof(f5509,plain,
! [X0,X1] : ifeq(product(X0,identity,inverse(X1)),true,product(X0,X1,identity),true) = true,
inference(paramodulation,[status(thm)],[f11,f482]) ).
fof(f7068,plain,
! [X0,X1,X2] : ifeq(product(X0,X1,X2),true,ifeq(true,true,product(inverse(X0),X2,X1),true),true) = true,
inference(paramodulation,[status(thm)],[f13,f493]) ).
fof(f7069,plain,
! [X0,X1,X2] : ifeq(product(X0,X1,X2),true,product(inverse(X0),X2,X1),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f7068]) ).
fof(f7118,plain,
! [X0] : ifeq(true,true,ifeq(true,true,product(inverse(inverse(X0)),identity,X0),true),true) = true,
inference(paramodulation,[status(thm)],[f13,f495]) ).
fof(f7119,plain,
! [X0] : ifeq(true,true,product(inverse(inverse(X0)),identity,X0),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f7118]) ).
fof(f7361,plain,
! [X0,X1] : ifeq(true,true,product(inverse(X0),multiply(X0,X1),X1),true) = true,
inference(paramodulation,[status(thm)],[f14,f7069]) ).
fof(f7504,plain,
! [X0] : product(inverse(inverse(X0)),identity,X0) = true,
inference(paramodulation,[status(thm)],[f11,f7119]) ).
fof(f7509,plain,
! [X0,X1] : ifeq(product(inverse(X0),X1,identity),true,ifeq(true,true,product(identity,X1,X0),true),true) = true,
inference(paramodulation,[status(thm)],[f7504,f171]) ).
fof(f7510,plain,
! [X0,X1] : ifeq(product(inverse(X0),X1,identity),true,product(identity,X1,X0),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f7509]) ).
fof(f8264,plain,
! [X0,X1] : product(inverse(X0),multiply(X0,X1),X1) = true,
inference(paramodulation,[status(thm)],[f11,f7361]) ).
fof(f13491,plain,
! [X0] : ifeq(true,true,product(identity,multiply(X0,identity),X0),true) = true,
inference(paramodulation,[status(thm)],[f8264,f7510]) ).
fof(f13524,plain,
! [X0] : product(identity,multiply(X0,identity),X0) = true,
inference(paramodulation,[status(thm)],[f11,f13491]) ).
fof(f13563,plain,
! [X0] : ifeq(true,true,equalish(multiply(X0,identity),X0),true) = true,
inference(paramodulation,[status(thm)],[f13524,f37]) ).
fof(f13806,plain,
! [X0] : equalish(multiply(X0,identity),X0) = true,
inference(paramodulation,[status(thm)],[f11,f13563]) ).
fof(f13818,plain,
! [X0] : ifeq(true,true,product(X0,identity,X0),true) = true,
inference(paramodulation,[status(thm)],[f13806,f88]) ).
fof(f13841,plain,
! [X0] : product(X0,identity,X0) = true,
inference(paramodulation,[status(thm)],[f11,f13818]) ).
fof(f14358,plain,
! [X0,X1] : ifeq(equalish(X0,X1),true,ifeq(true,true,product(X0,identity,X1),true),true) = true,
inference(paramodulation,[status(thm)],[f13841,f18]) ).
fof(f14359,plain,
! [X0,X1] : ifeq(equalish(X0,X1),true,product(X0,identity,X1),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f14358]) ).
fof(f14360,plain,
! [X0,X1] : ifeq(product(X0,identity,X1),true,ifeq(true,true,equalish(X0,X1),true),true) = true,
inference(paramodulation,[status(thm)],[f13841,f15]) ).
fof(f14361,plain,
! [X0,X1] : ifeq(product(X0,identity,X1),true,equalish(X0,X1),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f14360]) ).
fof(f14788,plain,
! [X0] : ifeq(true,true,equalish(inverse(inverse(X0)),X0),true) = true,
inference(paramodulation,[status(thm)],[f7504,f14361]) ).
fof(f14905,plain,
! [X0] : equalish(inverse(inverse(X0)),X0) = true,
inference(paramodulation,[status(thm)],[f11,f14788]) ).
fof(f14926,plain,
! [X0] : ifeq(true,true,product(identity,inverse(inverse(X0)),X0),true) = true,
inference(paramodulation,[status(thm)],[f14905,f35]) ).
fof(f16974,plain,
! [X0] : product(identity,inverse(inverse(X0)),X0) = true,
inference(paramodulation,[status(thm)],[f11,f14926]) ).
fof(f17009,plain,
! [X0] : ifeq(true,true,equalish(X0,inverse(inverse(X0))),true) = true,
inference(paramodulation,[status(thm)],[f16974,f182]) ).
fof(f17214,plain,
! [X0] : equalish(X0,inverse(inverse(X0))) = true,
inference(paramodulation,[status(thm)],[f11,f17009]) ).
fof(f17245,plain,
! [X0] : ifeq(true,true,product(X0,identity,inverse(inverse(X0))),true) = true,
inference(paramodulation,[status(thm)],[f17214,f14359]) ).
fof(f17532,plain,
! [X0] : product(X0,identity,inverse(inverse(X0))) = true,
inference(paramodulation,[status(thm)],[f11,f17245]) ).
fof(f17639,plain,
! [X0] : ifeq(true,true,product(X0,inverse(X0),identity),true) = true,
inference(paramodulation,[status(thm)],[f17532,f5509]) ).
fof(f17892,plain,
! [X0] : product(X0,inverse(X0),identity) = true,
inference(paramodulation,[status(thm)],[f11,f17639]) ).
fof(f17903,plain,
ifeq(true,true,product(a,inverse(b),identity),true) = true,
inference(paramodulation,[status(thm)],[f17892,f2824]) ).
fof(f18604,plain,
product(a,inverse(b),identity) = true,
inference(paramodulation,[status(thm)],[f11,f17903]) ).
fof(f18663,plain,
ifeq(true,true,product(inverse(a),identity,inverse(b)),true) = true,
inference(paramodulation,[status(thm)],[f18604,f7069]) ).
fof(f54170,plain,
product(inverse(a),identity,inverse(b)) = true,
inference(paramodulation,[status(thm)],[f11,f18663]) ).
fof(f54217,plain,
ifeq(true,true,equalish(inverse(a),inverse(b)),true) = true,
inference(paramodulation,[status(thm)],[f54170,f14361]) ).
fof(f54364,plain,
equalish(inverse(a),inverse(b)) = true,
inference(paramodulation,[status(thm)],[f11,f54217]) ).
fof(f54365,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f54364,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GRP048-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n023.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue May 30 11:44:38 EDT 2023
% 0.06/0.25 % CPUTime :
% 0.06/0.25 % Drodi V3.5.1
% 14.33/2.11 % Refutation found
% 14.33/2.11 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 14.33/2.11 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 15.41/2.23 % Elapsed time: 1.961782 seconds
% 15.41/2.23 % CPU time: 15.238831 seconds
% 15.41/2.23 % Memory used: 385.092 MB
%------------------------------------------------------------------------------