TSTP Solution File: KLE069+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : KLE069+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 0.14s 0.54s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 49 unt; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 79 (; 77 !; 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(f7,axiom,
! [A] : multiplication(one,A) = 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(f9,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,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] : multiplication(domain(X0),addition(domain(X0),domain(X1))) = domain(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ! [X0,X1] : multiplication(domain(X0),addition(domain(X0),domain(X1))) = 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(f26,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[status(esa)],[f7]) ).
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(f28,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[status(esa)],[f9]) ).
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] : multiplication(domain(X0),addition(domain(X0),domain(X1))) != domain(X0),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f41,plain,
multiplication(domain(sk0_0),addition(domain(sk0_0),domain(sk0_1))) != domain(sk0_0),
inference(skolemization,[status(esa)],[f40]) ).
fof(f42,plain,
multiplication(domain(sk0_0),addition(domain(sk0_0),domain(sk0_1))) != domain(sk0_0),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f43,plain,
! [X0] : addition(one,domain(X0)) = one,
inference(forward_demodulation,[status(thm)],[f20,f37]) ).
fof(f44,plain,
multiplication(domain(sk0_0),domain(addition(sk0_0,sk0_1))) != domain(sk0_0),
inference(forward_demodulation,[status(thm)],[f39,f42]) ).
fof(f101,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X1),domain(X0)),
inference(paramodulation,[status(thm)],[f20,f39]) ).
fof(f102,plain,
! [X0,X1] : domain(addition(X0,X1)) = domain(addition(X1,X0)),
inference(forward_demodulation,[status(thm)],[f39,f101]) ).
fof(f733,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X1,X2),multiplication(X0,X2)),
inference(paramodulation,[status(thm)],[f20,f28]) ).
fof(f734,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = multiplication(addition(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f28,f733]) ).
fof(f837,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f843,plain,
! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(paramodulation,[status(thm)],[f26,f36]) ).
fof(f844,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[status(thm)],[f26,f843]) ).
fof(f849,plain,
! [X0,X1] : multiplication(addition(X0,one),X1) = addition(multiplication(X0,X1),X1),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f850,plain,
! [X0,X1] : multiplication(addition(X0,one),X1) = addition(X1,multiplication(X0,X1)),
inference(forward_demodulation,[status(thm)],[f20,f849]) ).
fof(f1236,plain,
! [X0,X1] : multiplication(X0,one) = addition(X0,multiplication(X0,domain(X1))),
inference(paramodulation,[status(thm)],[f43,f837]) ).
fof(f1237,plain,
! [X0,X1] : X0 = addition(X0,multiplication(X0,domain(X1))),
inference(forward_demodulation,[status(thm)],[f25,f1236]) ).
fof(f1726,plain,
! [X0] : multiplication(addition(domain(X0),one),X0) = multiplication(domain(X0),X0),
inference(paramodulation,[status(thm)],[f35,f850]) ).
fof(f1727,plain,
! [X0] : multiplication(addition(one,domain(X0)),X0) = multiplication(domain(X0),X0),
inference(forward_demodulation,[status(thm)],[f734,f1726]) ).
fof(f1728,plain,
! [X0] : multiplication(one,X0) = multiplication(domain(X0),X0),
inference(forward_demodulation,[status(thm)],[f43,f1727]) ).
fof(f1729,plain,
! [X0] : X0 = multiplication(domain(X0),X0),
inference(forward_demodulation,[status(thm)],[f26,f1728]) ).
fof(f1872,plain,
! [X0,X1] : multiplication(domain(X0),addition(X1,X0)) = addition(multiplication(domain(X0),X1),X0),
inference(paramodulation,[status(thm)],[f1729,f27]) ).
fof(f1873,plain,
! [X0,X1] : multiplication(domain(X0),addition(X1,X0)) = addition(X0,multiplication(domain(X0),X1)),
inference(forward_demodulation,[status(thm)],[f20,f1872]) ).
fof(f6002,plain,
! [X0,X1] : multiplication(domain(domain(X0)),domain(addition(X1,X0))) = addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))),
inference(paramodulation,[status(thm)],[f39,f1873]) ).
fof(f6003,plain,
! [X0,X1] : multiplication(domain(X0),domain(addition(X1,X0))) = addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))),
inference(forward_demodulation,[status(thm)],[f844,f6002]) ).
fof(f6004,plain,
! [X0,X1] : multiplication(domain(X0),domain(addition(X1,X0))) = addition(domain(X0),multiplication(domain(X0),domain(X1))),
inference(forward_demodulation,[status(thm)],[f844,f6003]) ).
fof(f6005,plain,
! [X0,X1] : multiplication(domain(X0),domain(addition(X1,X0))) = domain(X0),
inference(forward_demodulation,[status(thm)],[f1237,f6004]) ).
fof(f6195,plain,
! [X0,X1] : multiplication(domain(X0),domain(addition(X0,X1))) = domain(X0),
inference(paramodulation,[status(thm)],[f102,f6005]) ).
fof(f6338,plain,
domain(sk0_0) != domain(sk0_0),
inference(backward_demodulation,[status(thm)],[f6195,f44]) ).
fof(f6339,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f6338]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : KLE069+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.29 % Computer : n028.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 11:59:47 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Drodi V3.5.1
% 0.14/0.54 % Refutation found
% 0.14/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.20/0.56 % Elapsed time: 0.256246 seconds
% 1.20/0.56 % CPU time: 1.313442 seconds
% 1.20/0.56 % Memory used: 53.023 MB
%------------------------------------------------------------------------------