TSTP Solution File: BOO029-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : BOO029-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:13:09 EDT 2024
% Result : Unsatisfiable 2.07s 0.62s
% Output : CNFRefutation 2.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 9
% Syntax : Number of formulae : 92 ( 92 unt; 0 def)
% Number of atoms : 92 ( 91 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 196 ( 196 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : add(X,multiply(Y,multiply(X,Z))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : multiply(add(X,Y),add(X,inverse(Y))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : multiply(X,add(Y,add(X,Z))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : add(multiply(X,Y),multiply(X,inverse(Y))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] : multiply(X,Y) = multiply(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] : add(add(X,Y),Z) = add(X,add(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
add(b,inverse(b)) != add(a,inverse(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0,X1,X2] : add(X0,multiply(X1,multiply(X0,X2))) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f14,plain,
! [X0,X1] : multiply(add(X0,X1),add(X0,inverse(X1))) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f15,plain,
! [X0,X1,X2] : multiply(X0,add(X1,add(X0,X2))) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f17,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f18,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f19,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f20,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f21,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f22,plain,
add(b,inverse(b)) != add(a,inverse(a)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f27,plain,
! [X0,X1] : multiply(add(X0,X1),add(X1,inverse(X0))) = X1,
inference(paramodulation,[status(thm)],[f18,f14]) ).
fof(f32,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(X1,inverse(X0))) = X1,
inference(paramodulation,[status(thm)],[f19,f17]) ).
fof(f34,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(inverse(X1),X0)) = X0,
inference(paramodulation,[status(thm)],[f19,f17]) ).
fof(f40,plain,
! [X0,X1] : multiply(add(X0,X1),add(inverse(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f18,f27]) ).
fof(f49,plain,
! [X0,X1,X2] : add(add(X0,X1),multiply(X2,X0)) = add(X0,X1),
inference(paramodulation,[status(thm)],[f14,f12]) ).
fof(f50,plain,
! [X0,X1,X2] : add(X0,add(X1,multiply(X2,X0))) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f20,f49]) ).
fof(f60,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(inverse(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f19,f32]) ).
fof(f144,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f12,f15]) ).
fof(f157,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f15,f12]) ).
fof(f169,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f18,f144]) ).
fof(f196,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f19,f157]) ).
fof(f203,plain,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f157,f144]) ).
fof(f204,plain,
! [X0,X1] : multiply(X0,multiply(X1,X0)) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f19,f203]) ).
fof(f206,plain,
! [X0,X1] : multiply(X0,add(inverse(X0),multiply(X1,X0))) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f157,f40]) ).
fof(f215,plain,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f34,f169]) ).
fof(f216,plain,
! [X0,X1] : multiply(X0,multiply(X0,X1)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f19,f215]) ).
fof(f283,plain,
! [X0,X1,X2] : add(X0,X1) = add(X0,add(multiply(X2,X0),X1)),
inference(paramodulation,[status(thm)],[f157,f20]) ).
fof(f285,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X1,add(X0,X2)),
inference(paramodulation,[status(thm)],[f18,f20]) ).
fof(f286,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(forward_demodulation,[status(thm)],[f20,f285]) ).
fof(f330,plain,
! [X0,X1,X2] : add(X0,X1) = add(X0,add(multiply(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f196,f20]) ).
fof(f578,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = add(X0,X1),
inference(paramodulation,[status(thm)],[f34,f283]) ).
fof(f581,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = add(X0,X1),
inference(paramodulation,[status(thm)],[f17,f283]) ).
fof(f652,plain,
! [X0,X1,X2] : multiply(add(X0,X1),add(inverse(X0),add(multiply(X2,X0),X1))) = add(multiply(X2,X0),X1),
inference(paramodulation,[status(thm)],[f283,f40]) ).
fof(f972,plain,
! [X0,X1,X2] : multiply(add(X0,X1),add(inverse(X0),add(multiply(X0,X2),X1))) = add(multiply(X0,X2),X1),
inference(paramodulation,[status(thm)],[f330,f40]) ).
fof(f980,plain,
! [X0] : multiply(X0,add(inverse(X0),X0)) = multiply(inverse(inverse(X0)),X0),
inference(paramodulation,[status(thm)],[f578,f206]) ).
fof(f981,plain,
! [X0] : X0 = multiply(inverse(inverse(X0)),X0),
inference(forward_demodulation,[status(thm)],[f144,f980]) ).
fof(f982,plain,
! [X0] : X0 = multiply(X0,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f19,f981]) ).
fof(f1023,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = add(X0,add(inverse(inverse(X0)),multiply(X1,inverse(X0)))),
inference(paramodulation,[status(thm)],[f206,f578]) ).
fof(f1024,plain,
! [X0,X1] : add(X0,X1) = add(X0,add(inverse(inverse(X0)),multiply(X1,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f581,f1023]) ).
fof(f1073,plain,
! [X0,X1] : add(inverse(inverse(X0)),X1) = add(inverse(inverse(X0)),add(X0,X1)),
inference(paramodulation,[status(thm)],[f982,f283]) ).
fof(f1074,plain,
! [X0,X1] : add(inverse(inverse(X0)),X1) = add(X0,add(inverse(inverse(X0)),X1)),
inference(forward_demodulation,[status(thm)],[f286,f1073]) ).
fof(f1075,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(inverse(inverse(X0)),X1)),
inference(paramodulation,[status(thm)],[f982,f21]) ).
fof(f1089,plain,
! [X0,X1] : add(X0,X1) = add(inverse(inverse(X0)),multiply(X1,inverse(X0))),
inference(backward_demodulation,[status(thm)],[f1074,f1024]) ).
fof(f1435,plain,
! [X0,X1] : multiply(X0,add(inverse(inverse(inverse(X0))),multiply(X1,inverse(inverse(X0))))) = multiply(X0,multiply(X1,inverse(inverse(X0)))),
inference(paramodulation,[status(thm)],[f206,f1075]) ).
fof(f1436,plain,
! [X0,X1] : multiply(X0,add(inverse(X0),X1)) = multiply(X0,multiply(X1,inverse(inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f1089,f1435]) ).
fof(f1445,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(X1,inverse(inverse(X0)))),
inference(paramodulation,[status(thm)],[f19,f1075]) ).
fof(f1446,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,add(inverse(X0),X1)),
inference(forward_demodulation,[status(thm)],[f1436,f1445]) ).
fof(f1462,plain,
! [X0,X1] : add(inverse(inverse(X0)),multiply(X0,X1)) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f1075,f12]) ).
fof(f1518,plain,
! [X0,X1] : add(inverse(X0),X1) = add(inverse(X0),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f17,f50]) ).
fof(f1635,plain,
! [X0,X1] : add(X0,X1) = add(inverse(inverse(X0)),X1),
inference(backward_demodulation,[status(thm)],[f1518,f1089]) ).
fof(f1653,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = inverse(inverse(X0)),
inference(backward_demodulation,[status(thm)],[f1635,f1462]) ).
fof(f1654,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f196,f1653]) ).
fof(f1778,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = multiply(X0,inverse(X0)),
inference(paramodulation,[status(thm)],[f196,f1446]) ).
fof(f1926,plain,
! [X0,X1] : add(inverse(multiply(X0,X1)),X0) = add(inverse(multiply(X0,X1)),multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f216,f1518]) ).
fof(f1927,plain,
! [X0,X1] : add(X0,inverse(multiply(X0,X1))) = add(inverse(multiply(X0,X1)),multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f18,f1926]) ).
fof(f1928,plain,
! [X0,X1] : add(X0,inverse(multiply(X0,X1))) = add(multiply(X0,X1),inverse(multiply(X0,X1))),
inference(forward_demodulation,[status(thm)],[f18,f1927]) ).
fof(f1929,plain,
! [X0,X1] : add(inverse(multiply(X0,X1)),X1) = add(inverse(multiply(X0,X1)),multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f204,f1518]) ).
fof(f1930,plain,
! [X0,X1] : add(X0,inverse(multiply(X1,X0))) = add(inverse(multiply(X1,X0)),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f18,f1929]) ).
fof(f1931,plain,
! [X0,X1] : add(X0,inverse(multiply(X1,X0))) = add(multiply(X1,X0),inverse(multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f18,f1930]) ).
fof(f1932,plain,
! [X0,X1] : add(X0,inverse(multiply(X1,X0))) = add(X1,inverse(multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f1928,f1931]) ).
fof(f1970,plain,
! [X0,X1,X2] : add(add(inverse(X0),X1),X2) = add(inverse(X0),add(multiply(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f1518,f20]) ).
fof(f1971,plain,
! [X0,X1,X2] : add(inverse(X0),add(X1,X2)) = add(inverse(X0),add(multiply(X1,X0),X2)),
inference(forward_demodulation,[status(thm)],[f20,f1970]) ).
fof(f1990,plain,
! [X0,X1,X2] : multiply(add(X0,X1),add(inverse(X0),add(X2,X1))) = add(multiply(X2,X0),X1),
inference(backward_demodulation,[status(thm)],[f1971,f652]) ).
fof(f1991,plain,
! [X0,X1,X2] : add(multiply(multiply(X0,X1),X0),X2) = add(multiply(X0,X1),X2),
inference(backward_demodulation,[status(thm)],[f1990,f972]) ).
fof(f1992,plain,
! [X0,X1,X2] : add(multiply(X0,multiply(X1,X0)),X2) = add(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f21,f1991]) ).
fof(f1993,plain,
! [X0,X1,X2] : add(multiply(X0,X1),X2) = add(multiply(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f204,f1992]) ).
fof(f2170,plain,
! [X0,X1] : add(multiply(X0,multiply(inverse(inverse(X0)),X1)),multiply(inverse(X0),inverse(inverse(X0)))) = multiply(inverse(inverse(X0)),X1),
inference(paramodulation,[status(thm)],[f1778,f60]) ).
fof(f2171,plain,
! [X0,X1] : add(multiply(inverse(X0),inverse(inverse(X0))),multiply(X0,multiply(inverse(inverse(X0)),X1))) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[status(thm)],[f18,f2170]) ).
fof(f2172,plain,
! [X0,X1] : add(multiply(inverse(X0),X0),multiply(X0,multiply(inverse(inverse(X0)),X1))) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[status(thm)],[f1654,f2171]) ).
fof(f2173,plain,
! [X0,X1] : add(multiply(X0,inverse(X0)),multiply(X0,multiply(inverse(inverse(X0)),X1))) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[status(thm)],[f1993,f2172]) ).
fof(f2174,plain,
! [X0,X1] : add(multiply(X0,inverse(X0)),multiply(X0,multiply(X0,X1))) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[status(thm)],[f1654,f2173]) ).
fof(f2175,plain,
! [X0,X1] : add(multiply(X0,inverse(X0)),multiply(X0,X1)) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[status(thm)],[f216,f2174]) ).
fof(f2176,plain,
! [X0,X1] : add(multiply(X0,inverse(X0)),multiply(X0,X1)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f1654,f2175]) ).
fof(f2218,plain,
! [X0,X1] : add(multiply(X0,inverse(X0)),multiply(inverse(multiply(inverse(X0),X1)),X0)) = X0,
inference(paramodulation,[status(thm)],[f1778,f34]) ).
fof(f2219,plain,
! [X0,X1] : add(multiply(X0,inverse(X0)),multiply(X0,inverse(multiply(inverse(X0),X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f19,f2218]) ).
fof(f2220,plain,
! [X0,X1] : multiply(X0,inverse(multiply(inverse(X0),X1))) = X0,
inference(forward_demodulation,[status(thm)],[f2176,f2219]) ).
fof(f2315,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,inverse(X0)))) = X0,
inference(paramodulation,[status(thm)],[f204,f2220]) ).
fof(f2331,plain,
! [X0,X1] : add(X0,inverse(X0)) = add(X0,inverse(multiply(inverse(inverse(X0)),X1))),
inference(paramodulation,[status(thm)],[f2220,f578]) ).
fof(f2332,plain,
! [X0,X1] : add(X0,inverse(X0)) = add(X0,inverse(multiply(X0,X1))),
inference(forward_demodulation,[status(thm)],[f1654,f2331]) ).
fof(f2371,plain,
! [X0,X1] : add(X0,inverse(multiply(X1,X0))) = add(X1,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f2332,f1932]) ).
fof(f2391,plain,
! [X0,X1] : add(X0,inverse(X0)) = add(X0,inverse(multiply(X1,inverse(inverse(X0))))),
inference(paramodulation,[status(thm)],[f2315,f578]) ).
fof(f2392,plain,
! [X0,X1] : add(X0,inverse(X0)) = add(X0,inverse(multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f1654,f2391]) ).
fof(f2435,plain,
! [X0,X1] : add(X0,inverse(X0)) = add(X1,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f2392,f2371]) ).
fof(f2436,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f22,f2435]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : BOO029-1 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n024.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 : Mon Apr 29 22:34:21 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 2.07/0.62 % Refutation found
% 2.07/0.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.07/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.18/0.64 % Elapsed time: 0.288946 seconds
% 2.18/0.64 % CPU time: 2.227122 seconds
% 2.18/0.64 % Total memory used: 40.262 MB
% 2.18/0.64 % Net memory used: 39.355 MB
%------------------------------------------------------------------------------