TSTP Solution File: GRP528-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP528-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:20:52 EDT 2024
% Result : Unsatisfiable 0.14s 0.31s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 40 ( 40 unt; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 89 ( 89 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(A,divide(divide(A,B),divide(C,B))) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : multiply(A,B) = divide(A,divide(divide(C,C),B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : inverse(A) = divide(divide(B,B),A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1,X2] : divide(X0,divide(divide(X0,X1),divide(X2,X1))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f6,plain,
! [X0,X1,X2] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f8,plain,
multiply(a,b) != multiply(b,a),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f9,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f7,f6]) ).
fof(f24,plain,
! [X0,X1] : divide(X0,inverse(divide(X1,X0))) = X1,
inference(paramodulation,[status(thm)],[f7,f5]) ).
fof(f25,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f9,f24]) ).
fof(f26,plain,
! [X0,X1,X2] : divide(X0,X1) = divide(divide(X0,divide(X1,X2)),X2),
inference(paramodulation,[status(thm)],[f5,f5]) ).
fof(f38,plain,
! [X0,X1,X2,X3] : divide(X0,divide(divide(X0,divide(divide(X1,X2),divide(X3,X2))),X3)) = X1,
inference(paramodulation,[status(thm)],[f5,f5]) ).
fof(f47,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f7,f25]) ).
fof(f48,plain,
! [X0,X1,X2] : multiply(divide(divide(X0,X1),divide(X2,X1)),X2) = X0,
inference(paramodulation,[status(thm)],[f5,f25]) ).
fof(f49,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f9,f25]) ).
fof(f51,plain,
! [X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f49,f49]) ).
fof(f53,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(paramodulation,[status(thm)],[f25,f49]) ).
fof(f54,plain,
! [X0] : multiply(X0,inverse(X0)) = divide(a,a),
inference(equality_split,[status(esa)],[f47]) ).
fof(f60,plain,
! [X0] : multiply(inverse(inverse(X0)),divide(a,a)) = X0,
inference(paramodulation,[status(thm)],[f54,f49]) ).
fof(f66,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(divide(X0,X1)),
inference(paramodulation,[status(thm)],[f25,f51]) ).
fof(f73,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f66,f53]) ).
fof(f80,plain,
! [X0,X1] : divide(divide(X0,X1),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f7,f26]) ).
fof(f86,plain,
! [X0,X1,X2,X3] : divide(divide(X0,divide(X1,divide(X2,X3))),X2) = divide(divide(X0,X1),X3),
inference(paramodulation,[status(thm)],[f26,f26]) ).
fof(f93,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(X2,X3))) = divide(divide(X0,divide(X1,X2)),X3),
inference(paramodulation,[status(thm)],[f26,f26]) ).
fof(f103,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X1,divide(X2,X0)),
inference(paramodulation,[status(thm)],[f26,f25]) ).
fof(f107,plain,
! [X0,X1,X2] : divide(X0,divide(divide(X0,divide(X1,X2)),X2)) = X1,
inference(backward_demodulation,[status(thm)],[f86,f38]) ).
fof(f108,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f26,f107]) ).
fof(f111,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(divide(X2,X3),X2))) = divide(divide(X0,X1),X3),
inference(backward_demodulation,[status(thm)],[f93,f86]) ).
fof(f112,plain,
! [X0,X1,X2] : divide(X0,divide(X1,inverse(X2))) = divide(divide(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f80,f111]) ).
fof(f113,plain,
! [X0,X1,X2] : divide(X0,multiply(X1,X2)) = divide(divide(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f9,f112]) ).
fof(f118,plain,
! [X0] : divide(a,divide(a,inverse(inverse(X0)))) = X0,
inference(backward_demodulation,[status(thm)],[f103,f60]) ).
fof(f119,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f108,f118]) ).
fof(f141,plain,
! [X0,X1,X2] : multiply(divide(X0,multiply(X1,divide(X2,X1))),X2) = X0,
inference(backward_demodulation,[status(thm)],[f113,f48]) ).
fof(f142,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f25,f141]) ).
fof(f168,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(paramodulation,[status(thm)],[f119,f73]) ).
fof(f171,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f119,f9]) ).
fof(f173,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f171,f168]) ).
fof(f196,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f173,f142]) ).
fof(f197,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f8,f196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP528-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n023.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 00:45:10 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 0.14/0.31 % Refutation found
% 0.14/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.33 % Elapsed time: 0.017153 seconds
% 0.14/0.33 % CPU time: 0.060150 seconds
% 0.14/0.33 % Total memory used: 4.962 MB
% 0.14/0.33 % Net memory used: 4.683 MB
%------------------------------------------------------------------------------