TSTP Solution File: KLE054+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : KLE054+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 12:15:40 EDT 2023
% Result : Theorem 0.11s 0.41s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 35 unt; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 44 (; 42 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : addition(A,B) = addition(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : multiplication(A,one) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
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(f15,axiom,
! [X0] : addition(domain(X0),one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
! [X0,X1] : addition(domain(multiplication(X0,X1)),domain(X0)) = domain(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ! [X0,X1] : addition(domain(multiplication(X0,X1)),domain(X0)) = domain(X0),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f25,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f27,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
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(f37,plain,
! [X0] : addition(domain(X0),one) = one,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f39,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f40,plain,
? [X0,X1] : addition(domain(multiplication(X0,X1)),domain(X0)) != domain(X0),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f41,plain,
addition(domain(multiplication(sk0_0,sk0_1)),domain(sk0_0)) != domain(sk0_0),
inference(skolemization,[status(esa)],[f40]) ).
fof(f42,plain,
addition(domain(multiplication(sk0_0,sk0_1)),domain(sk0_0)) != domain(sk0_0),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f103,plain,
domain(addition(multiplication(sk0_0,sk0_1),sk0_0)) != domain(sk0_0),
inference(backward_demodulation,[status(thm)],[f39,f42]) ).
fof(f104,plain,
domain(addition(sk0_0,multiplication(sk0_0,sk0_1))) != domain(sk0_0),
inference(forward_demodulation,[status(thm)],[f20,f103]) ).
fof(f221,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f222,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(X0,multiplication(X0,X1)),
inference(forward_demodulation,[status(thm)],[f20,f221]) ).
fof(f289,plain,
! [X0] : addition(one,domain(X0)) = one,
inference(forward_demodulation,[status(thm)],[f20,f37]) ).
fof(f301,plain,
addition(one,domain(one)) = multiplication(domain(one),one),
inference(paramodulation,[status(thm)],[f25,f35]) ).
fof(f302,plain,
one = multiplication(domain(one),one),
inference(forward_demodulation,[status(thm)],[f289,f301]) ).
fof(f303,plain,
one = domain(one),
inference(forward_demodulation,[status(thm)],[f25,f302]) ).
fof(f448,plain,
! [X0] : domain(addition(X0,one)) = addition(domain(X0),one),
inference(paramodulation,[status(thm)],[f303,f39]) ).
fof(f449,plain,
! [X0] : domain(addition(X0,one)) = addition(one,domain(X0)),
inference(forward_demodulation,[status(thm)],[f20,f448]) ).
fof(f450,plain,
! [X0] : domain(addition(X0,one)) = one,
inference(forward_demodulation,[status(thm)],[f289,f449]) ).
fof(f477,plain,
! [X0,X1] : domain(multiplication(X0,addition(X1,one))) = domain(multiplication(X0,one)),
inference(paramodulation,[status(thm)],[f450,f36]) ).
fof(f478,plain,
! [X0,X1] : domain(multiplication(X0,addition(X1,one))) = domain(X0),
inference(forward_demodulation,[status(thm)],[f25,f477]) ).
fof(f2402,plain,
! [X0,X1] : domain(addition(X0,multiplication(X0,X1))) = domain(X0),
inference(paramodulation,[status(thm)],[f222,f478]) ).
fof(f2473,plain,
domain(sk0_0) != domain(sk0_0),
inference(backward_demodulation,[status(thm)],[f2402,f104]) ).
fof(f2474,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f2473]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.13 % Problem : KLE054+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.35 % Computer : n004.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Tue May 30 11:43:07 EDT 2023
% 0.11/0.35 % CPUTime :
% 0.11/0.35 % Drodi V3.5.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.44 % Elapsed time: 0.089556 seconds
% 0.16/0.44 % CPU time: 0.149028 seconds
% 0.16/0.44 % Memory used: 14.513 MB
%------------------------------------------------------------------------------