TSTP Solution File: RNG008-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG008-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:32:35 EDT 2023
% Result : Unsatisfiable 0.16s 0.39s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 49 ( 49 unt; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 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 : 77 (; 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : add(additive_identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : additive_inverse(additive_inverse(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] : multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] : multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,Z] : add(add(X,Y),Z) = add(X,add(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X] : add(X,additive_inverse(X)) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
! [X] : multiply(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
multiply(a,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
multiply(b,a) != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f22,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f23,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f25,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f29,plain,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = additive_inverse(multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f30,plain,
! [X0,X1] : multiply(additive_inverse(X0),X1) = additive_inverse(multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f31,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f32,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f35,plain,
! [X0] : add(X0,additive_inverse(X0)) = additive_identity,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f36,plain,
! [X0] : multiply(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f37,plain,
multiply(a,b) = c,
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f38,plain,
multiply(b,a) != c,
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f59,plain,
! [X0] : additive_inverse(X0) = additive_inverse(multiply(additive_inverse(X0),X0)),
inference(paramodulation,[status(thm)],[f36,f29]) ).
fof(f60,plain,
! [X0] : additive_inverse(X0) = additive_inverse(additive_inverse(multiply(X0,X0))),
inference(forward_demodulation,[status(thm)],[f30,f59]) ).
fof(f61,plain,
! [X0] : additive_inverse(X0) = multiply(X0,X0),
inference(forward_demodulation,[status(thm)],[f25,f60]) ).
fof(f62,plain,
! [X0] : additive_inverse(X0) = X0,
inference(forward_demodulation,[status(thm)],[f36,f61]) ).
fof(f76,plain,
! [X0] : add(X0,X0) = additive_identity,
inference(backward_demodulation,[status(thm)],[f62,f35]) ).
fof(f97,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f36,f22]) ).
fof(f179,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = add(X0,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f36,f23]) ).
fof(f191,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = add(multiply(X0,X1),X1),
inference(paramodulation,[status(thm)],[f36,f23]) ).
fof(f459,plain,
! [X0,X1] : add(additive_identity,X0) = add(X1,add(X1,X0)),
inference(paramodulation,[status(thm)],[f76,f31]) ).
fof(f460,plain,
! [X0,X1] : X0 = add(X1,add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f20,f459]) ).
fof(f690,plain,
! [X0,X1] : X0 = add(X1,add(X0,X1)),
inference(paramodulation,[status(thm)],[f32,f460]) ).
fof(f702,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = add(multiply(add(X0,X1),X0),add(X0,X1)),
inference(paramodulation,[status(thm)],[f460,f97]) ).
fof(f703,plain,
! [X0,X1] : add(multiply(X0,X1),X1) = add(multiply(add(X0,X1),X0),add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f191,f702]) ).
fof(f704,plain,
! [X0,X1] : add(multiply(X0,X1),X1) = add(add(multiply(add(X0,X1),X0),X0),X1),
inference(forward_demodulation,[status(thm)],[f31,f703]) ).
fof(f705,plain,
! [X0,X1] : add(multiply(X0,X1),X1) = add(add(add(X0,multiply(X1,X0)),X0),X1),
inference(forward_demodulation,[status(thm)],[f179,f704]) ).
fof(f935,plain,
! [X0,X1] : X0 = add(add(X1,X0),X1),
inference(paramodulation,[status(thm)],[f690,f690]) ).
fof(f936,plain,
! [X0,X1] : X0 = add(add(X0,X1),X1),
inference(paramodulation,[status(thm)],[f460,f690]) ).
fof(f974,plain,
! [X0,X1] : add(multiply(X0,X1),X1) = add(multiply(X1,X0),X1),
inference(backward_demodulation,[status(thm)],[f935,f705]) ).
fof(f1017,plain,
! [X0,X1] : add(add(multiply(X0,X1),X1),X1) = add(multiply(X1,add(X0,X1)),X1),
inference(paramodulation,[status(thm)],[f191,f974]) ).
fof(f1018,plain,
! [X0,X1] : multiply(X0,X1) = add(multiply(X1,add(X0,X1)),X1),
inference(forward_demodulation,[status(thm)],[f936,f1017]) ).
fof(f1019,plain,
! [X0,X1] : multiply(X0,X1) = add(add(multiply(X1,X0),X1),X1),
inference(forward_demodulation,[status(thm)],[f97,f1018]) ).
fof(f1020,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f936,f1019]) ).
fof(f1183,plain,
multiply(a,b) != c,
inference(paramodulation,[status(thm)],[f1020,f38]) ).
fof(f1184,plain,
c != c,
inference(forward_demodulation,[status(thm)],[f37,f1183]) ).
fof(f1185,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : RNG008-3 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:44:40 EDT 2023
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.39 % Refutation found
% 0.16/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.41 % Elapsed time: 0.091574 seconds
% 0.16/0.41 % CPU time: 0.296061 seconds
% 0.16/0.41 % Memory used: 6.296 MB
%------------------------------------------------------------------------------