TSTP Solution File: GRP520-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP520-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : Wed May 31 12:11:56 EDT 2023
% Result : Unsatisfiable 0.19s 0.44s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 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 : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 37 (; 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : multiply(A,multiply(multiply(inverse(multiply(A,B)),C),B)) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1)) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(a,b) != multiply(b,a),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1),X3),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f6,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(inverse(X1),X2),multiply(multiply(inverse(multiply(X0,X3)),X1),X3))) = X2,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f14,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X2,X1))) = X2,
inference(paramodulation,[status(thm)],[f5,f3]) ).
fof(f45,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(paramodulation,[status(thm)],[f3,f6]) ).
fof(f77,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(paramodulation,[status(thm)],[f14,f45]) ).
fof(f97,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(multiply(inverse(X2),X1),multiply(X0,X2)),
inference(paramodulation,[status(thm)],[f45,f77]) ).
fof(f207,plain,
! [X0,X1,X2] : multiply(inverse(multiply(multiply(inverse(X0),X1),X0)),multiply(X2,X1)) = X2,
inference(paramodulation,[status(thm)],[f97,f14]) ).
fof(f208,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f45,f207]) ).
fof(f226,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(paramodulation,[status(thm)],[f77,f208]) ).
fof(f298,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(inverse(X2),X2))) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f226,f77]) ).
fof(f299,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f226,f298]) ).
fof(f319,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f4,f299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP520-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 11:49:37 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 0.19/0.44 % Refutation found
% 0.19/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.44 % Elapsed time: 0.096778 seconds
% 0.19/0.44 % CPU time: 0.068688 seconds
% 0.19/0.44 % Memory used: 838.239 KB
%------------------------------------------------------------------------------