TSTP Solution File: KLE065+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : KLE065+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 0.10s 0.34s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 22 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 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 : 20 (; 18 !; 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(f84,plain,
! [X0,X1] : addition(multiplication(X0,domain(X1)),multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1)))) = multiplication(domain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))),
inference(paramodulation,[status(thm)],[f36,f35]) ).
fof(f85,plain,
! [X0,X1] : addition(multiplication(X0,domain(X1)),multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1)))) = multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))),
inference(forward_demodulation,[status(thm)],[f36,f84]) ).
fof(f241,plain,
addition(multiplication(sk0_0,domain(sk0_1)),multiplication(domain(zero),multiplication(sk0_0,domain(sk0_1)))) = multiplication(domain(multiplication(sk0_0,sk0_1)),multiplication(sk0_0,domain(sk0_1))),
inference(paramodulation,[status(thm)],[f42,f85]) ).
fof(f242,plain,
addition(multiplication(sk0_0,domain(sk0_1)),multiplication(zero,multiplication(sk0_0,domain(sk0_1)))) = multiplication(domain(multiplication(sk0_0,sk0_1)),multiplication(sk0_0,domain(sk0_1))),
inference(forward_demodulation,[status(thm)],[f38,f241]) ).
fof(f243,plain,
addition(multiplication(sk0_0,domain(sk0_1)),zero) = multiplication(domain(multiplication(sk0_0,sk0_1)),multiplication(sk0_0,domain(sk0_1))),
inference(forward_demodulation,[status(thm)],[f30,f242]) ).
fof(f244,plain,
multiplication(sk0_0,domain(sk0_1)) = multiplication(domain(multiplication(sk0_0,sk0_1)),multiplication(sk0_0,domain(sk0_1))),
inference(forward_demodulation,[status(thm)],[f22,f243]) ).
fof(f245,plain,
multiplication(sk0_0,domain(sk0_1)) = multiplication(domain(zero),multiplication(sk0_0,domain(sk0_1))),
inference(forward_demodulation,[status(thm)],[f42,f244]) ).
fof(f246,plain,
multiplication(sk0_0,domain(sk0_1)) = multiplication(zero,multiplication(sk0_0,domain(sk0_1))),
inference(forward_demodulation,[status(thm)],[f38,f245]) ).
fof(f247,plain,
multiplication(sk0_0,domain(sk0_1)) = zero,
inference(forward_demodulation,[status(thm)],[f30,f246]) ).
fof(f248,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f247,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : KLE065+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n001.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 12:16:30 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 0.10/0.34 % Refutation found
% 0.10/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.56 % Elapsed time: 0.014168 seconds
% 0.15/0.56 % CPU time: 0.013714 seconds
% 0.15/0.56 % Memory used: 2.411 MB
%------------------------------------------------------------------------------