TSTP Solution File: BOO013-4 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : BOO013-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:02:47 EDT 2023
% Result : Unsatisfiable 0.21s 0.41s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 57 ( 57 unt; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 66 (; 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = multiply(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : add(X,additive_identity) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : multiply(X,multiplicative_identity) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : add(X,inverse(X)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] : multiply(X,inverse(X)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
add(a,b) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
multiply(a,b) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
b != inverse(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f13,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f14,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f15,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f16,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f17,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f18,plain,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f19,plain,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f20,plain,
add(a,b) = multiplicative_identity,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f21,plain,
multiply(a,b) = additive_identity,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f22,plain,
b != inverse(a),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f23,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(paramodulation,[status(thm)],[f12,f16]) ).
fof(f35,plain,
! [X0] : X0 = multiply(multiplicative_identity,X0),
inference(paramodulation,[status(thm)],[f17,f13]) ).
fof(f47,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X2),add(X0,X1)),
inference(paramodulation,[status(thm)],[f13,f14]) ).
fof(f48,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = add(X0,multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f14,f47]) ).
fof(f53,plain,
! [X0] : add(a,multiply(b,X0)) = multiply(multiplicative_identity,add(a,X0)),
inference(paramodulation,[status(thm)],[f20,f14]) ).
fof(f54,plain,
! [X0] : add(a,multiply(b,X0)) = add(a,X0),
inference(forward_demodulation,[status(thm)],[f35,f53]) ).
fof(f56,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
inference(paramodulation,[status(thm)],[f18,f14]) ).
fof(f57,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f35,f56]) ).
fof(f77,plain,
! [X0] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
inference(paramodulation,[status(thm)],[f17,f57]) ).
fof(f78,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(forward_demodulation,[status(thm)],[f18,f77]) ).
fof(f79,plain,
! [X0] : add(X0,additive_identity) = add(X0,inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f19,f57]) ).
fof(f80,plain,
! [X0] : X0 = add(X0,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f16,f79]) ).
fof(f94,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(paramodulation,[status(thm)],[f12,f78]) ).
fof(f160,plain,
! [X0] : multiply(a,add(b,X0)) = add(additive_identity,multiply(a,X0)),
inference(paramodulation,[status(thm)],[f21,f15]) ).
fof(f161,plain,
! [X0] : multiply(a,add(b,X0)) = multiply(a,X0),
inference(forward_demodulation,[status(thm)],[f23,f160]) ).
fof(f162,plain,
! [X0,X1] : multiply(X0,add(multiplicative_identity,X1)) = add(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f17,f15]) ).
fof(f163,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f94,f162]) ).
fof(f164,plain,
! [X0,X1] : X0 = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f17,f163]) ).
fof(f165,plain,
! [X0,X1] : multiply(X0,add(inverse(X0),X1)) = add(additive_identity,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f15]) ).
fof(f166,plain,
! [X0,X1] : multiply(X0,add(inverse(X0),X1)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f23,f165]) ).
fof(f245,plain,
! [X0,X1] : X0 = add(X0,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f48,f164]) ).
fof(f295,plain,
add(a,additive_identity) = add(a,inverse(b)),
inference(paramodulation,[status(thm)],[f19,f54]) ).
fof(f296,plain,
a = add(a,inverse(b)),
inference(forward_demodulation,[status(thm)],[f16,f295]) ).
fof(f368,plain,
multiply(a,multiplicative_identity) = multiply(a,inverse(b)),
inference(paramodulation,[status(thm)],[f18,f161]) ).
fof(f369,plain,
a = multiply(a,inverse(b)),
inference(forward_demodulation,[status(thm)],[f17,f368]) ).
fof(f382,plain,
inverse(b) = add(inverse(b),a),
inference(paramodulation,[status(thm)],[f369,f245]) ).
fof(f383,plain,
inverse(b) = add(a,inverse(b)),
inference(forward_demodulation,[status(thm)],[f12,f382]) ).
fof(f384,plain,
inverse(b) = a,
inference(forward_demodulation,[status(thm)],[f296,f383]) ).
fof(f631,plain,
! [X0] : multiply(X0,multiplicative_identity) = multiply(X0,inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f18,f166]) ).
fof(f632,plain,
! [X0] : X0 = multiply(X0,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f17,f631]) ).
fof(f726,plain,
! [X0] : inverse(inverse(X0)) = add(inverse(inverse(X0)),X0),
inference(paramodulation,[status(thm)],[f632,f245]) ).
fof(f727,plain,
! [X0] : inverse(inverse(X0)) = add(X0,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f12,f726]) ).
fof(f728,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f80,f727]) ).
fof(f737,plain,
inverse(a) = b,
inference(paramodulation,[status(thm)],[f384,f728]) ).
fof(f738,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f737,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO013-4 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n022.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 30 10:40:57 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.21/0.41 % Refutation found
% 0.21/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.43 % Elapsed time: 0.076305 seconds
% 0.21/0.43 % CPU time: 0.176595 seconds
% 0.21/0.43 % Memory used: 3.373 MB
%------------------------------------------------------------------------------