TSTP Solution File: BOO008-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : BOO008-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:12:52 EDT 2024
% Result : Unsatisfiable 7.71s 1.36s
% Output : CNFRefutation 8.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 11
% Syntax : Number of formulae : 102 ( 102 unt; 0 def)
% Number of atoms : 102 ( 101 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 225 ( 225 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = multiply(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : add(X,inverse(X)) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] : multiply(X,inverse(X)) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] : multiply(X,multiplicative_identity) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : multiply(multiplicative_identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X] : add(X,additive_identity) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
add(a,add(b,c)) != add(add(a,b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f17,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f18,plain,
! [X0,X1,X2] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f19,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f20,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f22,plain,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f24,plain,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f26,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f27,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f28,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f30,plain,
add(a,add(b,c)) != add(add(a,b),c),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f33,plain,
add(a,add(b,c)) != add(c,add(a,b)),
inference(forward_demodulation,[status(thm)],[f16,f30]) ).
fof(f64,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f19]) ).
fof(f65,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f27,f64]) ).
fof(f67,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X1,X0),add(X0,X2)),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f71,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = multiply(add(X0,X1),multiplicative_identity),
inference(paramodulation,[status(thm)],[f22,f19]) ).
fof(f72,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f26,f71]) ).
fof(f87,plain,
! [X0,X1] : add(inverse(X0),multiply(X0,X1)) = multiply(multiplicative_identity,add(inverse(X0),X1)),
inference(paramodulation,[status(thm)],[f22,f67]) ).
fof(f88,plain,
! [X0,X1] : add(inverse(X0),multiply(X0,X1)) = add(inverse(X0),X1),
inference(forward_demodulation,[status(thm)],[f27,f87]) ).
fof(f98,plain,
! [X0,X1] : add(X0,multiply(X1,additive_identity)) = multiply(add(X1,X0),X0),
inference(paramodulation,[status(thm)],[f28,f67]) ).
fof(f99,plain,
! [X0,X1] : add(X0,multiply(X1,additive_identity)) = multiply(X0,add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f17,f98]) ).
fof(f177,plain,
! [X0,X1] : add(inverse(X0),add(X0,multiply(X1,additive_identity))) = add(inverse(X0),add(X1,X0)),
inference(paramodulation,[status(thm)],[f99,f88]) ).
fof(f268,plain,
! [X0] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
inference(paramodulation,[status(thm)],[f26,f65]) ).
fof(f269,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(forward_demodulation,[status(thm)],[f22,f268]) ).
fof(f342,plain,
! [X0] : add(X0,additive_identity) = add(X0,X0),
inference(paramodulation,[status(thm)],[f24,f72]) ).
fof(f343,plain,
! [X0] : X0 = add(X0,X0),
inference(forward_demodulation,[status(thm)],[f28,f342]) ).
fof(f382,plain,
! [X0] : add(X0,multiply(X0,additive_identity)) = multiply(X0,X0),
inference(paramodulation,[status(thm)],[f343,f99]) ).
fof(f383,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(add(X1,X0),X0),
inference(paramodulation,[status(thm)],[f343,f67]) ).
fof(f384,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(X0,add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f17,f383]) ).
fof(f385,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = add(X0,multiply(X1,additive_identity)),
inference(forward_demodulation,[status(thm)],[f99,f384]) ).
fof(f395,plain,
! [X0] : add(X0,multiply(additive_identity,X0)) = multiply(X0,X0),
inference(paramodulation,[status(thm)],[f17,f382]) ).
fof(f761,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(paramodulation,[status(thm)],[f16,f269]) ).
fof(f852,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = add(multiply(X1,X2),multiply(X0,X2)),
inference(paramodulation,[status(thm)],[f16,f20]) ).
fof(f853,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = multiply(add(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f20,f852]) ).
fof(f860,plain,
! [X0,X1] : multiply(add(multiplicative_identity,X0),X1) = add(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f27,f20]) ).
fof(f861,plain,
! [X0,X1] : multiply(multiplicative_identity,X0) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f761,f860]) ).
fof(f862,plain,
! [X0,X1] : X0 = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f27,f861]) ).
fof(f893,plain,
! [X0,X1] : multiply(add(X0,X1),inverse(X1)) = add(multiply(X0,inverse(X1)),additive_identity),
inference(paramodulation,[status(thm)],[f24,f20]) ).
fof(f894,plain,
! [X0,X1] : multiply(inverse(X0),add(X1,X0)) = add(multiply(X1,inverse(X0)),additive_identity),
inference(forward_demodulation,[status(thm)],[f17,f893]) ).
fof(f895,plain,
! [X0,X1] : multiply(inverse(X0),add(X1,X0)) = multiply(X1,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f28,f894]) ).
fof(f938,plain,
! [X0] : X0 = multiply(X0,X0),
inference(backward_demodulation,[status(thm)],[f862,f395]) ).
fof(f941,plain,
! [X0,X1] : X0 = add(X0,multiply(X1,additive_identity)),
inference(backward_demodulation,[status(thm)],[f862,f385]) ).
fof(f1022,plain,
! [X0,X1] : add(inverse(X0),X0) = add(inverse(X0),add(X1,X0)),
inference(backward_demodulation,[status(thm)],[f941,f177]) ).
fof(f1023,plain,
! [X0,X1] : add(X0,inverse(X0)) = add(inverse(X0),add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f16,f1022]) ).
fof(f1024,plain,
! [X0,X1] : multiplicative_identity = add(inverse(X0),add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f22,f1023]) ).
fof(f1051,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = add(multiply(X0,X1),X1),
inference(paramodulation,[status(thm)],[f938,f20]) ).
fof(f1052,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f17,f1051]) ).
fof(f1053,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f16,f1052]) ).
fof(f1054,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f862,f1053]) ).
fof(f1055,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = add(X0,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f938,f20]) ).
fof(f1056,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f17,f1055]) ).
fof(f1057,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f862,f1056]) ).
fof(f1291,plain,
! [X0,X1,X2] : add(X0,multiply(add(X1,X2),inverse(X0))) = add(X0,add(X2,X1)),
inference(paramodulation,[status(thm)],[f853,f72]) ).
fof(f1292,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(X2,X1)),
inference(forward_demodulation,[status(thm)],[f72,f1291]) ).
fof(f1532,plain,
! [X0,X1] : add(X0,X1) = add(add(X0,X1),X1),
inference(paramodulation,[status(thm)],[f1054,f862]) ).
fof(f1533,plain,
! [X0,X1] : add(X0,X1) = add(X1,add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f16,f1532]) ).
fof(f1709,plain,
! [X0,X1] : add(X0,X1) = add(add(X0,X1),X0),
inference(paramodulation,[status(thm)],[f1057,f862]) ).
fof(f1710,plain,
! [X0,X1] : add(X0,X1) = add(X0,add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f16,f1709]) ).
fof(f1758,plain,
! [X0,X1,X2] : add(multiply(X0,inverse(X1)),add(X2,X1)) = multiply(add(X0,add(X2,X1)),multiplicative_identity),
inference(paramodulation,[status(thm)],[f1024,f18]) ).
fof(f1759,plain,
! [X0,X1,X2] : add(multiply(X0,inverse(X1)),add(X2,X1)) = add(X0,add(X2,X1)),
inference(forward_demodulation,[status(thm)],[f26,f1758]) ).
fof(f1760,plain,
! [X0,X1,X2] : add(multiply(inverse(X0),X1),add(X2,X0)) = multiply(multiplicative_identity,add(X1,add(X2,X0))),
inference(paramodulation,[status(thm)],[f1024,f18]) ).
fof(f1761,plain,
! [X0,X1,X2] : add(multiply(inverse(X0),X1),add(X2,X0)) = add(X1,add(X2,X0)),
inference(forward_demodulation,[status(thm)],[f27,f1760]) ).
fof(f1885,plain,
! [X0,X1,X2] : add(multiply(X0,X1),add(X2,X1)) = multiply(add(X0,add(X2,X1)),add(X2,X1)),
inference(paramodulation,[status(thm)],[f1533,f18]) ).
fof(f1886,plain,
! [X0,X1,X2] : add(multiply(X0,X1),add(X2,X1)) = multiply(add(X2,X1),add(X0,add(X2,X1))),
inference(forward_demodulation,[status(thm)],[f17,f1885]) ).
fof(f1887,plain,
! [X0,X1,X2] : add(multiply(X0,X1),add(X2,X1)) = add(X2,X1),
inference(forward_demodulation,[status(thm)],[f1054,f1886]) ).
fof(f1955,plain,
! [X0,X1,X2] : add(multiply(X0,X1),add(X1,X2)) = multiply(add(X0,add(X1,X2)),add(X1,X2)),
inference(paramodulation,[status(thm)],[f1710,f18]) ).
fof(f1956,plain,
! [X0,X1,X2] : add(multiply(X0,X1),add(X1,X2)) = multiply(add(X1,X2),add(X0,add(X1,X2))),
inference(forward_demodulation,[status(thm)],[f17,f1955]) ).
fof(f1957,plain,
! [X0,X1,X2] : add(multiply(X0,X1),add(X1,X2)) = add(X1,X2),
inference(forward_demodulation,[status(thm)],[f1054,f1956]) ).
fof(f2201,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X2,add(X1,X0)),
inference(paramodulation,[status(thm)],[f16,f1292]) ).
fof(f2337,plain,
! [X0,X1,X2] : add(X0,add(X1,add(X0,X2))) = add(X1,add(X0,X2)),
inference(paramodulation,[status(thm)],[f1057,f1887]) ).
fof(f2340,plain,
! [X0,X1,X2] : add(X0,add(X1,add(X2,X0))) = add(X1,add(X2,X0)),
inference(paramodulation,[status(thm)],[f1054,f1887]) ).
fof(f3369,plain,
! [X0,X1,X2] : add(X0,add(add(X0,X1),X2)) = add(add(X0,X1),X2),
inference(paramodulation,[status(thm)],[f1057,f1957]) ).
fof(f3372,plain,
! [X0,X1,X2] : add(X0,add(add(X1,X0),X2)) = add(add(X1,X0),X2),
inference(paramodulation,[status(thm)],[f1054,f1957]) ).
fof(f7199,plain,
! [X0,X1,X2,X3] : add(X0,add(X1,add(X2,add(X0,X3)))) = add(X1,add(X0,add(X2,add(X0,X3)))),
inference(paramodulation,[status(thm)],[f2337,f2337]) ).
fof(f7200,plain,
! [X0,X1,X2,X3] : add(X0,add(X1,add(X2,add(X0,X3)))) = add(X1,add(X2,add(X0,X3))),
inference(forward_demodulation,[status(thm)],[f2337,f7199]) ).
fof(f9742,plain,
! [X0,X1,X2] : add(multiply(X0,inverse(X1)),add(X2,X1)) = add(add(X0,X1),add(X2,X1)),
inference(paramodulation,[status(thm)],[f895,f1761]) ).
fof(f9743,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X0,X2),add(X1,X2)),
inference(forward_demodulation,[status(thm)],[f1759,f9742]) ).
fof(f10083,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X1,X2),add(X2,X0)),
inference(paramodulation,[status(thm)],[f2201,f9743]) ).
fof(f10201,plain,
! [X0,X1,X2,X3] : add(X0,add(add(X1,X2),X3)) = add(add(X0,X3),add(X3,add(X2,X1))),
inference(paramodulation,[status(thm)],[f2201,f9743]) ).
fof(f10202,plain,
! [X0,X1,X2,X3] : add(X0,add(add(X1,X2),X3)) = add(add(X2,X1),add(X0,X3)),
inference(forward_demodulation,[status(thm)],[f10083,f10201]) ).
fof(f10345,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X0,X2),add(X2,X1)),
inference(paramodulation,[status(thm)],[f16,f9743]) ).
fof(f10346,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X2,add(add(X2,X0),X1)),
inference(forward_demodulation,[status(thm)],[f10202,f10345]) ).
fof(f10347,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X2,X0),X1),
inference(forward_demodulation,[status(thm)],[f3369,f10346]) ).
fof(f10363,plain,
! [X0,X1,X2] : add(X0,add(add(X1,add(X0,X2)),X2)) = add(add(X1,add(X0,X2)),X2),
inference(paramodulation,[status(thm)],[f9743,f3372]) ).
fof(f10364,plain,
! [X0,X1,X2] : add(X0,add(X1,add(X2,add(X0,X1)))) = add(add(X2,add(X0,X1)),X1),
inference(forward_demodulation,[status(thm)],[f1292,f10363]) ).
fof(f10365,plain,
! [X0,X1,X2] : add(X0,add(X1,add(X2,X0))) = add(add(X1,add(X2,X0)),X0),
inference(forward_demodulation,[status(thm)],[f7200,f10364]) ).
fof(f10366,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X0,add(X1,X2)),X2),
inference(forward_demodulation,[status(thm)],[f2340,f10365]) ).
fof(f10367,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X2,add(add(X1,X2),X0)),
inference(forward_demodulation,[status(thm)],[f2201,f10366]) ).
fof(f10368,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X1,X2),X0),
inference(forward_demodulation,[status(thm)],[f3372,f10367]) ).
fof(f10369,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f10347,f10368]) ).
fof(f10370,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f33,f10369]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : BOO008-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 22:31:11 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 7.71/1.36 % Refutation found
% 7.71/1.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.71/1.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.10/1.41 % Elapsed time: 1.037489 seconds
% 8.10/1.41 % CPU time: 8.114734 seconds
% 8.10/1.41 % Total memory used: 137.252 MB
% 8.10/1.41 % Net memory used: 133.675 MB
%------------------------------------------------------------------------------