TSTP Solution File: GRP550-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP550-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 20:20:55 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 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 : 5 ( 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 : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,divide(identity,B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = divide(identity,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = divide(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : divide(divide(identity,X0),divide(divide(divide(X1,X0),X2),X1)) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0] : identity = divide(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f8,f7]) ).
fof(f12,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f22,plain,
identity = inverse(identity),
inference(paramodulation,[status(thm)],[f8,f9]) ).
fof(f24,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(paramodulation,[status(thm)],[f11,f9]) ).
fof(f29,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(paramodulation,[status(thm)],[f22,f11]) ).
fof(f31,plain,
multiply(identity,a2) != a2,
inference(backward_demodulation,[status(thm)],[f24,f10]) ).
fof(f98,plain,
! [X0,X1,X2] : divide(inverse(X0),divide(divide(divide(X1,X0),X2),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f6]) ).
fof(f106,plain,
! [X0,X1] : divide(X0,X1) = divide(inverse(X1),divide(identity,X0)),
inference(paramodulation,[status(thm)],[f9,f98]) ).
fof(f108,plain,
! [X0,X1] : X0 = divide(inverse(X1),divide(divide(inverse(X1),X0),identity)),
inference(paramodulation,[status(thm)],[f8,f98]) ).
fof(f115,plain,
! [X0,X1] : divide(X0,X1) = divide(inverse(X1),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f8,f106]) ).
fof(f116,plain,
! [X0,X1] : divide(X0,X1) = multiply(inverse(X1),X0),
inference(forward_demodulation,[status(thm)],[f11,f115]) ).
fof(f174,plain,
! [X0] : divide(identity,X0) = divide(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f29,f116]) ).
fof(f179,plain,
! [X0] : inverse(X0) = divide(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f8,f174]) ).
fof(f202,plain,
! [X0] : X0 = divide(identity,divide(divide(inverse(identity),X0),identity)),
inference(paramodulation,[status(thm)],[f22,f108]) ).
fof(f219,plain,
! [X0] : X0 = inverse(divide(divide(inverse(identity),X0),identity)),
inference(forward_demodulation,[status(thm)],[f8,f202]) ).
fof(f220,plain,
! [X0] : X0 = inverse(divide(divide(identity,X0),identity)),
inference(forward_demodulation,[status(thm)],[f22,f219]) ).
fof(f221,plain,
! [X0] : X0 = inverse(divide(inverse(X0),identity)),
inference(forward_demodulation,[status(thm)],[f8,f220]) ).
fof(f222,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f179,f221]) ).
fof(f244,plain,
! [X0] : X0 = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f12,f222]) ).
fof(f262,plain,
$false,
inference(resolution,[status(thm)],[f244,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP550-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.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 : Tue Apr 30 00:12:20 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36 % Elapsed time: 0.016431 seconds
% 0.13/0.36 % CPU time: 0.039929 seconds
% 0.13/0.36 % Total memory used: 3.321 MB
% 0.13/0.36 % Net memory used: 3.265 MB
%------------------------------------------------------------------------------