TSTP Solution File: KLE066+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : KLE066+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:15:42 EDT 2023
% Result : Theorem 0.16s 0.55s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 20 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 0 |; 2 &)
% ( 0 <=>; 0 =>; 2 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 16 (; 14 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [A] : addition(A,zero) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A] : multiplication(zero,A) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
domain(zero) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
! [X0,X1] :
( multiplication(X0,X1) = zero
<= multiplication(X0,domain(X1)) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ! [X0,X1] :
( multiplication(X0,X1) = zero
<= multiplication(X0,domain(X1)) = zero ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f22,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f30,plain,
! [X0] : multiplication(zero,X0) = zero,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f35,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f36,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f38,plain,
domain(zero) = zero,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f40,plain,
? [X0,X1] :
( multiplication(X0,X1) != zero
& multiplication(X0,domain(X1)) = zero ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f41,plain,
( multiplication(sk0_0,sk0_1) != zero
& multiplication(sk0_0,domain(sk0_1)) = zero ),
inference(skolemization,[status(esa)],[f40]) ).
fof(f42,plain,
multiplication(sk0_0,sk0_1) != zero,
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f43,plain,
multiplication(sk0_0,domain(sk0_1)) = zero,
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f60,plain,
domain(multiplication(sk0_0,sk0_1)) = domain(zero),
inference(paramodulation,[status(thm)],[f43,f36]) ).
fof(f61,plain,
domain(multiplication(sk0_0,sk0_1)) = zero,
inference(forward_demodulation,[status(thm)],[f38,f60]) ).
fof(f109,plain,
addition(multiplication(sk0_0,sk0_1),multiplication(zero,multiplication(sk0_0,sk0_1))) = multiplication(domain(multiplication(sk0_0,sk0_1)),multiplication(sk0_0,sk0_1)),
inference(paramodulation,[status(thm)],[f61,f35]) ).
fof(f110,plain,
addition(multiplication(sk0_0,sk0_1),zero) = multiplication(domain(multiplication(sk0_0,sk0_1)),multiplication(sk0_0,sk0_1)),
inference(forward_demodulation,[status(thm)],[f30,f109]) ).
fof(f111,plain,
multiplication(sk0_0,sk0_1) = multiplication(domain(multiplication(sk0_0,sk0_1)),multiplication(sk0_0,sk0_1)),
inference(forward_demodulation,[status(thm)],[f22,f110]) ).
fof(f112,plain,
multiplication(sk0_0,sk0_1) = multiplication(zero,multiplication(sk0_0,sk0_1)),
inference(forward_demodulation,[status(thm)],[f61,f111]) ).
fof(f113,plain,
multiplication(sk0_0,sk0_1) = zero,
inference(forward_demodulation,[status(thm)],[f30,f112]) ).
fof(f114,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f113,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KLE066+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n002.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 12:01:43 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 0.16/0.55 % Refutation found
% 0.16/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.55 % Elapsed time: 0.012644 seconds
% 0.16/0.55 % CPU time: 0.011902 seconds
% 0.16/0.55 % Memory used: 2.324 MB
%------------------------------------------------------------------------------