TSTP Solution File: SYN329-10 by Moca---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Moca---0.1
% Problem : SYN329-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n012.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 : 600s
% DateTime : Thu Jul 21 09:15:22 EDT 2022
% Result : Unknown 0.20s 0.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN329-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.14 % Command : moca.sh %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jul 12 05:38:42 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.42 % SZS status Satisfiable
% 0.20/0.42 % SZS output start Proof
% 0.20/0.42 The input problem is satisfiable because
% 0.20/0.42
% 0.20/0.42 [1] the following set of Horn clauses is satisfiable:
% 0.20/0.42
% 0.20/0.42 f(X, X) = true
% 0.20/0.42 f(Y, Y) = true
% 0.20/0.42 f(X, z(X, Y)) = true
% 0.20/0.42 f(z(X, Y), Y) = true ==> \bottom
% 0.20/0.42
% 0.20/0.42 This holds because
% 0.20/0.42
% 0.20/0.42 [2] the following E does not entail the following G (Claessen-Smallbone's transformation (2018)):
% 0.20/0.42
% 0.20/0.42 E:
% 0.20/0.42 f(X, X) = true
% 0.20/0.42 f(X, z(X, Y)) = true
% 0.20/0.42 f(Y, Y) = true
% 0.20/0.42 f1(f(z(X, Y), Y)) = false__
% 0.20/0.42 f1(true) = true__
% 0.20/0.42 G:
% 0.20/0.42 true__ = false__
% 0.20/0.42
% 0.20/0.42 This holds because
% 0.20/0.42
% 0.20/0.42 [3] the following ground-complete ordered TRS entails E but does not entail G:
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 f(X, X) -> true
% 0.20/0.42 f(X, z(X, Y)) -> true
% 0.20/0.42 f(Y, Y) -> true
% 0.20/0.42 f1(f(z(X, Y), Y)) -> false__
% 0.20/0.42 f1(true) -> true__
% 0.20/0.42 with the LPO induced by
% 0.20/0.42 f1 > z > f > true > true__ > false__
% 0.20/0.42
% 0.20/0.42 % SZS output end Proof
% 0.20/0.42
%------------------------------------------------------------------------------