TSTP Solution File: GRP610-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP610-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:21:04 EDT 2024
% Result : Unsatisfiable 0.21s 0.43s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 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 : 84 ( 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : inverse(double_divide(inverse(double_divide(inverse(double_divide(A,B)),C)),double_divide(A,C))) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,X2))) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X2,X1] : multiply(double_divide(X0,X2),inverse(double_divide(inverse(double_divide(X0,X1)),X2))) = X1,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X2,X1] : multiply(double_divide(X0,X2),multiply(X2,inverse(double_divide(X0,X1)))) = X1,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f8]) ).
fof(f10,plain,
! [X0,X1,X2] : X0 = multiply(double_divide(multiply(X1,X2),double_divide(X2,X0)),X1),
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f11,plain,
! [X0,X1,X2,X3] : double_divide(X0,X1) = multiply(double_divide(multiply(X1,multiply(X2,X0)),X3),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f13,plain,
! [X0,X1,X2,X3] : X0 = multiply(double_divide(X1,double_divide(multiply(X2,multiply(X1,X3)),X0)),double_divide(X3,X2)),
inference(paramodulation,[status(thm)],[f9,f10]) ).
fof(f16,plain,
! [X0,X1,X2] : double_divide(X0,multiply(double_divide(multiply(X1,X0),X2),X1)) = X2,
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f38,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f11,f16]) ).
fof(f50,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(multiply(X0,X1),X2),X0),X1) = inverse(X2),
inference(paramodulation,[status(thm)],[f16,f5]) ).
fof(f69,plain,
! [X0,X1,X2] : multiply(double_divide(X0,multiply(X1,X2)),multiply(X2,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f38,f5]) ).
fof(f103,plain,
! [X0,X1,X2] : X0 = multiply(double_divide(X1,double_divide(X1,multiply(X2,X0))),inverse(X2)),
inference(paramodulation,[status(thm)],[f69,f9]) ).
fof(f128,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),X1),multiply(X0,X2)) = double_divide(X1,X2),
inference(paramodulation,[status(thm)],[f103,f16]) ).
fof(f272,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(X2,multiply(double_divide(X2,X1),inverse(X0))),
inference(paramodulation,[status(thm)],[f128,f16]) ).
fof(f294,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,multiply(X0,X2))) = double_divide(X1,X2),
inference(paramodulation,[status(thm)],[f103,f272]) ).
fof(f317,plain,
! [X0,X1,X2] : double_divide(X0,X1) = multiply(double_divide(multiply(X1,X0),X2),X2),
inference(paramodulation,[status(thm)],[f16,f294]) ).
fof(f350,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f69,f317]) ).
fof(f355,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(double_divide(multiply(X1,X0),X2),X1)) = multiply(double_divide(inverse(X2),X3),X3),
inference(paramodulation,[status(thm)],[f50,f317]) ).
fof(f368,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(X1,X0),X1),
inference(paramodulation,[status(thm)],[f317,f50]) ).
fof(f392,plain,
! [X0,X1] : X0 = multiply(double_divide(inverse(X0),X1),X1),
inference(forward_demodulation,[status(thm)],[f16,f355]) ).
fof(f438,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f69,f392]) ).
fof(f473,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(X0,X1),X1),
inference(paramodulation,[status(thm)],[f438,f392]) ).
fof(f697,plain,
! [X0,X1,X2] : inverse(double_divide(multiply(X0,multiply(double_divide(X1,X0),X1)),X2)) = X2,
inference(paramodulation,[status(thm)],[f13,f368]) ).
fof(f742,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,multiply(double_divide(X1,X0),X1))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f697]) ).
fof(f743,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f368,f742]) ).
fof(f898,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f473,f350]) ).
fof(f925,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f438,f898]) ).
fof(f1135,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f925,f10]) ).
fof(f1248,plain,
multiply(multiply(b2,inverse(b2)),a2) != a2,
inference(backward_demodulation,[status(thm)],[f1135,f6]) ).
fof(f1345,plain,
multiply(a2,multiply(b2,inverse(b2))) != a2,
inference(forward_demodulation,[status(thm)],[f1135,f1248]) ).
fof(f1346,plain,
$false,
inference(resolution,[status(thm)],[f743,f1345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP610-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:37:20 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.21/0.43 % Refutation found
% 0.21/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.44 % Elapsed time: 0.086152 seconds
% 0.21/0.44 % CPU time: 0.602493 seconds
% 0.21/0.44 % Total memory used: 24.584 MB
% 0.21/0.44 % Net memory used: 24.066 MB
%------------------------------------------------------------------------------