TSTP Solution File: SET819-2 by Moca---0.1
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- Process Solution
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% File : Moca---0.1
% Problem : SET819-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n025.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 : Tue Jul 19 03:44:50 EDT 2022
% Result : Unsatisfiable 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET819-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.12 % Command : moca.sh %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 03:27:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.37 % SZS status Unsatisfiable
% 0.12/0.37 % SZS output start Proof
% 0.12/0.37 The input problem is unsatisfiable because
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% 0.12/0.37 [1] the following set of Horn clauses is unsatisfiable:
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% 0.12/0.37 c_in(V_a, c_emptyset, T_a) ==> \bottom
% 0.12/0.37 c_in(v_x(V_U), V_U, tc_set(t_a))
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% 0.12/0.37 This holds because
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% 0.12/0.37 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
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% 0.12/0.37 E:
% 0.12/0.37 c_in(v_x(V_U), V_U, tc_set(t_a)) = true__
% 0.12/0.37 f1(c_in(V_a, c_emptyset, T_a)) = true__
% 0.12/0.37 f1(true__) = false__
% 0.12/0.37 G:
% 0.12/0.37 true__ = false__
% 0.12/0.37
% 0.12/0.37 This holds because
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% 0.12/0.37 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
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% 0.12/0.37
% 0.12/0.37 c_in(v_x(V_U), V_U, tc_set(t_a)) -> true__
% 0.12/0.37 f1(c_in(V_a, c_emptyset, T_a)) -> true__
% 0.12/0.37 f1(true__) -> false__
% 0.12/0.37 false__ -> true__
% 0.12/0.37 with the LPO induced by
% 0.12/0.37 t_a > tc_set > v_x > c_emptyset > c_in > f1 > false__ > true__
% 0.12/0.37
% 0.12/0.37 % SZS output end Proof
% 0.12/0.37
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