TSTP Solution File: RNG008-3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n016.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 20:37:41 EDT 2024
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 50 ( 50 unt; 0 def)
% Number of atoms : 50 ( 49 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 : 79 ( 79 !; 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(f57,plain,
! [X0] : additive_inverse(X0) = additive_inverse(multiply(additive_inverse(X0),X0)),
inference(paramodulation,[status(thm)],[f36,f29]) ).
fof(f58,plain,
! [X0] : additive_inverse(X0) = additive_inverse(additive_inverse(multiply(X0,X0))),
inference(forward_demodulation,[status(thm)],[f30,f57]) ).
fof(f59,plain,
! [X0] : additive_inverse(X0) = multiply(X0,X0),
inference(forward_demodulation,[status(thm)],[f25,f58]) ).
fof(f60,plain,
! [X0] : additive_inverse(X0) = X0,
inference(forward_demodulation,[status(thm)],[f36,f59]) ).
fof(f72,plain,
! [X0] : add(X0,X0) = additive_identity,
inference(backward_demodulation,[status(thm)],[f60,f35]) ).
fof(f85,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f36,f22]) ).
fof(f90,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f36,f22]) ).
fof(f91,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f32,f90]) ).
fof(f200,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = add(X0,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f36,f23]) ).
fof(f209,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = add(multiply(X0,X1),X1),
inference(paramodulation,[status(thm)],[f36,f23]) ).
fof(f210,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = add(X1,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f32,f209]) ).
fof(f382,plain,
! [X0,X1] : add(additive_identity,X0) = add(X1,add(X1,X0)),
inference(paramodulation,[status(thm)],[f72,f31]) ).
fof(f383,plain,
! [X0,X1] : X0 = add(X1,add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f20,f382]) ).
fof(f410,plain,
! [X0,X1] : X0 = add(X1,add(X0,X1)),
inference(paramodulation,[status(thm)],[f32,f383]) ).
fof(f452,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(add(X0,X1),multiply(X1,add(X0,X1))),
inference(paramodulation,[status(thm)],[f410,f210]) ).
fof(f453,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = add(add(X0,X1),multiply(X1,add(X0,X1))),
inference(forward_demodulation,[status(thm)],[f85,f452]) ).
fof(f454,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = add(X0,add(X1,multiply(X1,add(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f31,f453]) ).
fof(f455,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = add(X0,add(X1,add(X1,multiply(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f91,f454]) ).
fof(f456,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f383,f455]) ).
fof(f457,plain,
! [X0,X1] : multiply(X0,X1) = add(X1,multiply(add(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f410,f200]) ).
fof(f458,plain,
! [X0,X1] : multiply(X0,X1) = add(X1,multiply(X1,add(X0,X1))),
inference(forward_demodulation,[status(thm)],[f456,f457]) ).
fof(f459,plain,
! [X0,X1] : multiply(X0,X1) = add(X1,add(X1,multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f91,f458]) ).
fof(f460,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f383,f459]) ).
fof(f492,plain,
multiply(a,b) != c,
inference(paramodulation,[status(thm)],[f460,f38]) ).
fof(f493,plain,
c != c,
inference(forward_demodulation,[status(thm)],[f37,f492]) ).
fof(f494,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : RNG008-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n016.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 : Mon Apr 29 22:56:55 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37 % Elapsed time: 0.061997 seconds
% 0.14/0.37 % CPU time: 0.363530 seconds
% 0.14/0.37 % Total memory used: 20.014 MB
% 0.14/0.37 % Net memory used: 19.622 MB
%------------------------------------------------------------------------------