TSTP Solution File: GRP584-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP584-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : Wed May 31 12:12:08 EDT 2023
% Result : Unsatisfiable 0.16s 0.34s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 5
% Syntax : Number of formulae : 77 ( 77 unt; 0 def)
% Number of atoms : 77 ( 76 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 103 (; 103 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),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(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),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(a,b) != multiply(b,a),
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(f126,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),inverse(identity)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f6]) ).
fof(f127,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,double_divide(X1,double_divide(inverse(identity),X0)))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f9,f126]) ).
fof(f128,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(identity),double_divide(X1,double_divide(identity,X0)))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f8,f126]) ).
fof(f138,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X0),double_divide(X1,identity))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f9,f126]) ).
fof(f139,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X0),inverse(X1))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f138]) ).
fof(f145,plain,
! [X0] : double_divide(double_divide(multiply(identity,identity),double_divide(identity,double_divide(X0,identity))),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f25,f127]) ).
fof(f146,plain,
! [X0] : double_divide(double_divide(multiply(identity,identity),double_divide(identity,inverse(X0))),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f145]) ).
fof(f150,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,inverse(inverse(identity))))),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f8,f127]) ).
fof(f151,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,multiply(identity,identity)))),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f16,f150]) ).
fof(f227,plain,
double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = double_divide(identity,identity),
inference(paramodulation,[status(thm)],[f26,f151]) ).
fof(f228,plain,
double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = double_divide(identity,identity),
inference(forward_demodulation,[status(thm)],[f8,f227]) ).
fof(f229,plain,
double_divide(identity,inverse(identity)) = double_divide(identity,identity),
inference(forward_demodulation,[status(thm)],[f9,f228]) ).
fof(f230,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[status(thm)],[f9,f229]) ).
fof(f231,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f8,f230]) ).
fof(f254,plain,
! [X0] : double_divide(double_divide(multiply(identity,identity),double_divide(identity,inverse(X0))),identity) = X0,
inference(backward_demodulation,[status(thm)],[f231,f146]) ).
fof(f255,plain,
! [X0] : inverse(double_divide(multiply(identity,identity),double_divide(identity,inverse(X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f254]) ).
fof(f256,plain,
! [X0] : multiply(double_divide(identity,inverse(X0)),multiply(identity,identity)) = X0,
inference(forward_demodulation,[status(thm)],[f15,f255]) ).
fof(f257,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(identity),double_divide(X1,double_divide(identity,X0)))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f231,f128]) ).
fof(f258,plain,
! [X0,X1] : inverse(double_divide(X0,double_divide(inverse(identity),double_divide(X1,double_divide(identity,X0))))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f257]) ).
fof(f259,plain,
! [X0,X1] : multiply(double_divide(inverse(identity),double_divide(X0,double_divide(identity,X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f15,f258]) ).
fof(f260,plain,
! [X0,X1] : multiply(double_divide(identity,double_divide(X0,double_divide(identity,X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f231,f259]) ).
fof(f265,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),identity) = X2,
inference(backward_demodulation,[status(thm)],[f231,f126]) ).
fof(f266,plain,
! [X0,X1,X2] : inverse(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f265]) ).
fof(f267,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,X2))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f15,f266]) ).
fof(f279,plain,
multiply(identity,identity) = inverse(identity),
inference(paramodulation,[status(thm)],[f231,f16]) ).
fof(f280,plain,
multiply(identity,identity) = identity,
inference(forward_demodulation,[status(thm)],[f231,f279]) ).
fof(f376,plain,
! [X0] : multiply(double_divide(identity,inverse(X0)),identity) = X0,
inference(forward_demodulation,[status(thm)],[f280,f256]) ).
fof(f411,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X0),inverse(X1))),identity) = X1,
inference(forward_demodulation,[status(thm)],[f231,f139]) ).
fof(f412,plain,
! [X0,X1] : inverse(double_divide(inverse(X0),double_divide(double_divide(identity,X0),inverse(X1)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f411]) ).
fof(f413,plain,
! [X0,X1] : multiply(double_divide(double_divide(identity,X0),inverse(X1)),inverse(X0)) = X1,
inference(forward_demodulation,[status(thm)],[f15,f412]) ).
fof(f414,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,X0),
inference(paramodulation,[status(thm)],[f9,f413]) ).
fof(f421,plain,
! [X0] : multiply(double_divide(double_divide(identity,X0),identity),inverse(X0)) = identity,
inference(paramodulation,[status(thm)],[f231,f413]) ).
fof(f422,plain,
! [X0] : multiply(inverse(double_divide(identity,X0)),inverse(X0)) = identity,
inference(forward_demodulation,[status(thm)],[f8,f421]) ).
fof(f423,plain,
! [X0] : multiply(multiply(X0,identity),inverse(X0)) = identity,
inference(forward_demodulation,[status(thm)],[f15,f422]) ).
fof(f440,plain,
! [X0] : double_divide(identity,X0) = inverse(multiply(identity,X0)),
inference(backward_demodulation,[status(thm)],[f414,f17]) ).
fof(f458,plain,
! [X0] : multiply(X0,inverse(double_divide(identity,double_divide(X0,double_divide(identity,identity))))) = identity,
inference(paramodulation,[status(thm)],[f260,f423]) ).
fof(f459,plain,
! [X0] : multiply(X0,multiply(double_divide(X0,double_divide(identity,identity)),identity)) = identity,
inference(forward_demodulation,[status(thm)],[f15,f458]) ).
fof(f460,plain,
! [X0] : multiply(X0,multiply(double_divide(X0,inverse(identity)),identity)) = identity,
inference(forward_demodulation,[status(thm)],[f8,f459]) ).
fof(f461,plain,
! [X0] : multiply(X0,multiply(double_divide(X0,identity),identity)) = identity,
inference(forward_demodulation,[status(thm)],[f231,f460]) ).
fof(f462,plain,
! [X0] : multiply(X0,multiply(inverse(X0),identity)) = identity,
inference(forward_demodulation,[status(thm)],[f8,f461]) ).
fof(f474,plain,
! [X0,X1] : multiply(multiply(double_divide(X0,X1),identity),multiply(X1,X0)) = identity,
inference(paramodulation,[status(thm)],[f15,f423]) ).
fof(f481,plain,
! [X0] : double_divide(identity,inverse(X0)) = inverse(double_divide(identity,X0)),
inference(paramodulation,[status(thm)],[f414,f440]) ).
fof(f482,plain,
! [X0] : double_divide(identity,inverse(X0)) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f15,f481]) ).
fof(f519,plain,
! [X0] : multiply(multiply(X0,identity),identity) = X0,
inference(backward_demodulation,[status(thm)],[f482,f376]) ).
fof(f1175,plain,
! [X0] : multiply(multiply(double_divide(multiply(inverse(X0),identity),X0),identity),identity) = identity,
inference(paramodulation,[status(thm)],[f462,f474]) ).
fof(f1176,plain,
! [X0] : double_divide(multiply(inverse(X0),identity),X0) = identity,
inference(forward_demodulation,[status(thm)],[f519,f1175]) ).
fof(f1251,plain,
! [X0] : multiply(double_divide(identity,identity),X0) = multiply(inverse(double_divide(identity,X0)),identity),
inference(paramodulation,[status(thm)],[f1176,f260]) ).
fof(f1252,plain,
! [X0] : multiply(inverse(identity),X0) = multiply(inverse(double_divide(identity,X0)),identity),
inference(forward_demodulation,[status(thm)],[f8,f1251]) ).
fof(f1253,plain,
! [X0] : multiply(identity,X0) = multiply(inverse(double_divide(identity,X0)),identity),
inference(forward_demodulation,[status(thm)],[f231,f1252]) ).
fof(f1254,plain,
! [X0] : multiply(identity,X0) = multiply(multiply(X0,identity),identity),
inference(forward_demodulation,[status(thm)],[f15,f1253]) ).
fof(f1255,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f519,f1254]) ).
fof(f1292,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(backward_demodulation,[status(thm)],[f1255,f414]) ).
fof(f1299,plain,
! [X0] : identity = double_divide(inverse(X0),X0),
inference(backward_demodulation,[status(thm)],[f1255,f25]) ).
fof(f1300,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(backward_demodulation,[status(thm)],[f1255,f16]) ).
fof(f1366,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),double_divide(X1,double_divide(X0,X2))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f1292,f267]) ).
fof(f1418,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),identity),X1) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f1299,f1366]) ).
fof(f1419,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),X1) = inverse(double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f8,f1418]) ).
fof(f1420,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1300,f1419]) ).
fof(f1421,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f15,f1420]) ).
fof(f1457,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f10,f1421]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP584-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:29:33 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.34 % Refutation found
% 0.16/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.36 % Elapsed time: 0.045695 seconds
% 0.16/0.36 % CPU time: 0.067347 seconds
% 0.16/0.36 % Memory used: 1.961 MB
%------------------------------------------------------------------------------