TSTP Solution File: GRP483-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP483-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:20:45 EDT 2024
% Result : Unsatisfiable 0.20s 0.41s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 5
% Syntax : Number of formulae : 66 ( 66 unt; 0 def)
% Number of atoms : 66 ( 65 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 : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 137 ( 137 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),double_divide(X0,identity))),X1) = 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(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),inverse(X0))),X1) = X2,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f13,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),inverse(X0))),X1) = X2,
inference(forward_demodulation,[status(thm)],[f8,f12]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(double_divide(X2,double_divide(X3,inverse(X3))),inverse(X0))),X1) = X2,
inference(forward_demodulation,[status(thm)],[f8,f13]) ).
fof(f15,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(double_divide(X2,identity),inverse(X0))),X1) = X2,
inference(forward_demodulation,[status(thm)],[f9,f14]) ).
fof(f16,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(X2),inverse(X0))),X1) = X2,
inference(forward_demodulation,[status(thm)],[f8,f15]) ).
fof(f17,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f27,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f11,f9]) ).
fof(f29,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f155,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,double_divide(inverse(X1),inverse(double_divide(double_divide(X2,inverse(inverse(X3))),double_divide(inverse(X0),inverse(X2)))))),X3) = X1,
inference(paramodulation,[status(thm)],[f16,f16]) ).
fof(f156,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,double_divide(inverse(X1),multiply(double_divide(inverse(X0),inverse(X2)),double_divide(X2,inverse(inverse(X3)))))),X3) = X1,
inference(forward_demodulation,[status(thm)],[f11,f155]) ).
fof(f157,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,double_divide(inverse(X1),multiply(double_divide(inverse(X0),inverse(X2)),double_divide(X2,multiply(identity,X3))))),X3) = X1,
inference(forward_demodulation,[status(thm)],[f17,f156]) ).
fof(f158,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(inverse(X0),inverse(X1))),X1) = X0,
inference(paramodulation,[status(thm)],[f9,f16]) ).
fof(f162,plain,
! [X0,X1] : double_divide(double_divide(double_divide(inverse(X0),inverse(X1)),identity),X1) = X0,
inference(paramodulation,[status(thm)],[f9,f16]) ).
fof(f163,plain,
! [X0,X1] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f8,f162]) ).
fof(f164,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),inverse(X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f11,f163]) ).
fof(f176,plain,
! [X0,X1,X2] : multiply(X0,double_divide(double_divide(X1,inverse(X0)),double_divide(inverse(X2),inverse(X1)))) = inverse(X2),
inference(paramodulation,[status(thm)],[f16,f11]) ).
fof(f183,plain,
! [X0] : double_divide(inverse(identity),inverse(X0)) = X0,
inference(paramodulation,[status(thm)],[f29,f164]) ).
fof(f202,plain,
identity = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f183]) ).
fof(f220,plain,
! [X0] : multiply(inverse(X0),inverse(identity)) = inverse(X0),
inference(paramodulation,[status(thm)],[f183,f11]) ).
fof(f221,plain,
! [X0] : multiply(inverse(X0),identity) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f202,f220]) ).
fof(f222,plain,
! [X0] : double_divide(identity,inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f202,f183]) ).
fof(f257,plain,
! [X0] : double_divide(multiply(inverse(X0),identity),X0) = identity,
inference(paramodulation,[status(thm)],[f202,f164]) ).
fof(f258,plain,
! [X0] : double_divide(inverse(X0),X0) = identity,
inference(forward_demodulation,[status(thm)],[f221,f257]) ).
fof(f263,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,inverse(X0)),double_divide(inverse(X1),identity)),X0) = X1,
inference(paramodulation,[status(thm)],[f202,f16]) ).
fof(f264,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(X1),identity)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f222,f263]) ).
fof(f265,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(inverse(X1))),X0) = X1,
inference(forward_demodulation,[status(thm)],[f8,f264]) ).
fof(f266,plain,
! [X0,X1] : double_divide(double_divide(X0,multiply(identity,X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f17,f265]) ).
fof(f325,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,inverse(X1)),identity),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f258,f16]) ).
fof(f326,plain,
! [X0,X1] : double_divide(inverse(double_divide(X0,inverse(X1))),X1) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f8,f325]) ).
fof(f327,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),X1),X0) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f11,f326]) ).
fof(f338,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f327,f164]) ).
fof(f339,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f17,f338]) ).
fof(f360,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f339,f266]) ).
fof(f366,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,double_divide(inverse(X1),multiply(double_divide(inverse(X0),inverse(X2)),double_divide(X2,X3)))),X3) = X1,
inference(backward_demodulation,[status(thm)],[f339,f157]) ).
fof(f380,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f27,f360]) ).
fof(f381,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f360,f360]) ).
fof(f390,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f360,f11]) ).
fof(f391,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),inverse(X1)),X0) = X1,
inference(backward_demodulation,[status(thm)],[f380,f158]) ).
fof(f392,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f327,f391]) ).
fof(f646,plain,
! [X0,X1] : multiply(X0,double_divide(double_divide(X1,inverse(X0)),identity)) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f258,f176]) ).
fof(f647,plain,
! [X0,X1] : multiply(X0,inverse(double_divide(X1,inverse(X0)))) = inverse(inverse(X1)),
inference(forward_demodulation,[status(thm)],[f8,f646]) ).
fof(f648,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = inverse(inverse(X1)),
inference(forward_demodulation,[status(thm)],[f11,f647]) ).
fof(f649,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f392,f648]) ).
fof(f719,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(paramodulation,[status(thm)],[f390,f649]) ).
fof(f783,plain,
! [X0,X1,X2] : double_divide(double_divide(inverse(X0),double_divide(inverse(X1),multiply(identity,double_divide(X0,X2)))),X2) = X1,
inference(paramodulation,[status(thm)],[f258,f366]) ).
fof(f784,plain,
! [X0,X1,X2] : double_divide(double_divide(inverse(X0),double_divide(inverse(X1),double_divide(X0,X2))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f339,f783]) ).
fof(f874,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = double_divide(inverse(X0),double_divide(X2,X1)),
inference(paramodulation,[status(thm)],[f11,f719]) ).
fof(f913,plain,
! [X0,X1,X2] : double_divide(multiply(X0,multiply(double_divide(X0,X1),inverse(X2))),X1) = X2,
inference(backward_demodulation,[status(thm)],[f874,f784]) ).
fof(f914,plain,
! [X0,X1,X2] : double_divide(multiply(X0,double_divide(inverse(double_divide(X0,X1)),X2)),X1) = X2,
inference(forward_demodulation,[status(thm)],[f719,f913]) ).
fof(f915,plain,
! [X0,X1,X2] : double_divide(multiply(X0,double_divide(multiply(X1,X0),X2)),X1) = X2,
inference(forward_demodulation,[status(thm)],[f11,f914]) ).
fof(f1229,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),X2) = double_divide(X1,multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f381,f915]) ).
fof(f1386,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = inverse(double_divide(X2,multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f1229,f11]) ).
fof(f1387,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f11,f1386]) ).
fof(f1417,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f1387,f10]) ).
fof(f1418,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1417]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP483-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n002.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 : Tue Apr 30 00:50:54 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.41 % Refutation found
% 0.20/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.43 % Elapsed time: 0.072796 seconds
% 0.20/0.43 % CPU time: 0.499001 seconds
% 0.20/0.43 % Total memory used: 21.664 MB
% 0.20/0.43 % Net memory used: 21.013 MB
%------------------------------------------------------------------------------