TSTP Solution File: GRP577-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP577-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:20:59 EDT 2024
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of formulae : 44 ( 44 unt; 0 def)
% Number of atoms : 44 ( 43 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = 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(inverse(a1),a1) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),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(inverse(a1),a1) != identity,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f8,f7]) ).
fof(f12,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f13,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f14,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f11,f9]) ).
fof(f15,plain,
inverse(identity) != identity,
inference(backward_demodulation,[status(thm)],[f12,f10]) ).
fof(f16,plain,
! [X0,X1] : inverse(identity) = multiply(multiply(X0,X1),double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f11,f12]) ).
fof(f75,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1))),double_divide(identity,identity)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f6]) ).
fof(f76,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1))),inverse(identity)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f75]) ).
fof(f78,plain,
! [X0,X1,X2] : inverse(identity) = double_divide(double_divide(double_divide(double_divide(double_divide(X0,X1),X2),inverse(X0)),double_divide(X2,inverse(X1))),inverse(identity)),
inference(paramodulation,[status(thm)],[f76,f76]) ).
fof(f79,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)),
inference(paramodulation,[status(thm)],[f14,f76]) ).
fof(f85,plain,
! [X0,X1] : X0 = double_divide(double_divide(inverse(X1),double_divide(double_divide(identity,X0),inverse(X1))),inverse(identity)),
inference(paramodulation,[status(thm)],[f9,f76]) ).
fof(f139,plain,
! [X0] : multiply(X0,identity) = double_divide(double_divide(X0,identity),inverse(identity)),
inference(paramodulation,[status(thm)],[f9,f79]) ).
fof(f150,plain,
! [X0] : multiply(X0,identity) = double_divide(inverse(X0),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f139]) ).
fof(f202,plain,
! [X0,X1] : inverse(identity) = multiply(double_divide(double_divide(double_divide(X0,X1),identity),inverse(X0)),X1),
inference(paramodulation,[status(thm)],[f79,f78]) ).
fof(f244,plain,
! [X0,X1] : inverse(identity) = multiply(double_divide(inverse(double_divide(X0,X1)),inverse(X0)),X1),
inference(forward_demodulation,[status(thm)],[f8,f202]) ).
fof(f245,plain,
! [X0,X1] : inverse(identity) = multiply(double_divide(multiply(X0,X1),inverse(X1)),X0),
inference(forward_demodulation,[status(thm)],[f11,f244]) ).
fof(f297,plain,
! [X0] : X0 = double_divide(double_divide(inverse(double_divide(identity,X0)),identity),inverse(identity)),
inference(paramodulation,[status(thm)],[f9,f85]) ).
fof(f316,plain,
! [X0] : X0 = double_divide(inverse(inverse(double_divide(identity,X0))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f297]) ).
fof(f317,plain,
! [X0] : X0 = multiply(inverse(double_divide(identity,X0)),identity),
inference(forward_demodulation,[status(thm)],[f150,f316]) ).
fof(f318,plain,
! [X0] : X0 = multiply(multiply(X0,identity),identity),
inference(forward_demodulation,[status(thm)],[f11,f317]) ).
fof(f332,plain,
! [X0] : inverse(identity) = multiply(X0,double_divide(identity,multiply(X0,identity))),
inference(paramodulation,[status(thm)],[f318,f16]) ).
fof(f333,plain,
! [X0] : identity = double_divide(double_divide(identity,multiply(X0,identity)),X0),
inference(paramodulation,[status(thm)],[f318,f14]) ).
fof(f377,plain,
! [X0] : double_divide(multiply(identity,X0),inverse(X0)) = multiply(inverse(identity),identity),
inference(paramodulation,[status(thm)],[f245,f318]) ).
fof(f386,plain,
! [X0] : double_divide(multiply(identity,X0),inverse(X0)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f12,f377]) ).
fof(f446,plain,
inverse(identity) = double_divide(inverse(identity),inverse(double_divide(identity,multiply(identity,identity)))),
inference(paramodulation,[status(thm)],[f332,f386]) ).
fof(f459,plain,
inverse(identity) = double_divide(inverse(identity),multiply(multiply(identity,identity),identity)),
inference(forward_demodulation,[status(thm)],[f11,f446]) ).
fof(f460,plain,
inverse(identity) = double_divide(inverse(identity),identity),
inference(forward_demodulation,[status(thm)],[f318,f459]) ).
fof(f461,plain,
inverse(identity) = inverse(inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f460]) ).
fof(f462,plain,
inverse(identity) = multiply(identity,identity),
inference(forward_demodulation,[status(thm)],[f13,f461]) ).
fof(f485,plain,
identity = double_divide(double_divide(identity,inverse(identity)),identity),
inference(paramodulation,[status(thm)],[f462,f333]) ).
fof(f499,plain,
identity = inverse(double_divide(identity,inverse(identity))),
inference(forward_demodulation,[status(thm)],[f8,f485]) ).
fof(f500,plain,
identity = multiply(inverse(identity),identity),
inference(forward_demodulation,[status(thm)],[f11,f499]) ).
fof(f501,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f12,f500]) ).
fof(f502,plain,
$false,
inference(resolution,[status(thm)],[f501,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP577-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 00:36:49 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37 % Elapsed time: 0.020751 seconds
% 0.14/0.37 % CPU time: 0.074566 seconds
% 0.14/0.37 % Total memory used: 4.949 MB
% 0.14/0.37 % Net memory used: 4.898 MB
%------------------------------------------------------------------------------