TSTP Solution File: LAT266-2 by Moca---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Moca---0.1
% Problem : LAT266-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %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 : 600s
% DateTime : Sun Jul 17 06:05:40 EDT 2022
% Result : Unsatisfiable 0.12s 0.38s
% 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
% 0.10/0.11 % Problem : LAT266-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : moca.sh %s
% 0.12/0.33 % Computer : n004.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 : Thu Jun 30 05:41:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.38 % SZS status Unsatisfiable
% 0.12/0.38 % SZS output start Proof
% 0.12/0.38 The input problem is unsatisfiable because
% 0.12/0.38
% 0.12/0.38 [1] the following set of Horn clauses is unsatisfiable:
% 0.12/0.38
% 0.12/0.38 c_lessequals(v_S, c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), tc_set(t_a))
% 0.12/0.38 c_lessequals(v_S, c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl, t_a), t_a, tc_Product__Type_Ounit), tc_set(t_a)) ==> \bottom
% 0.12/0.38 v_A = c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit)
% 0.12/0.38 c_Tarski_Opotype_Opset(c_Tarski_Odual(V_cl, T_a), T_a, tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(V_cl, T_a, tc_Product__Type_Ounit)
% 0.12/0.38
% 0.12/0.38 This holds because
% 0.12/0.38
% 0.12/0.38 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.12/0.38
% 0.12/0.38 E:
% 0.12/0.38 c_Tarski_Opotype_Opset(c_Tarski_Odual(V_cl, T_a), T_a, tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(V_cl, T_a, tc_Product__Type_Ounit)
% 0.12/0.38 c_lessequals(v_S, c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), tc_set(t_a)) = true__
% 0.12/0.38 f1(c_lessequals(v_S, c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl, t_a), t_a, tc_Product__Type_Ounit), tc_set(t_a))) = true__
% 0.12/0.38 f1(true__) = false__
% 0.12/0.38 v_A = c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit)
% 0.12/0.38 G:
% 0.12/0.38 true__ = false__
% 0.12/0.38
% 0.12/0.38 This holds because
% 0.12/0.38
% 0.12/0.38 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 c_Tarski_Opotype_Opset(c_Tarski_Odual(V_cl, T_a), T_a, tc_Product__Type_Ounit) -> c_Tarski_Opotype_Opset(V_cl, T_a, tc_Product__Type_Ounit)
% 0.12/0.38 c_lessequals(v_S, c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), tc_set(t_a)) -> true__
% 0.12/0.38 f1(c_lessequals(v_S, c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl, t_a), t_a, tc_Product__Type_Ounit), tc_set(t_a))) -> true__
% 0.12/0.38 f1(true__) -> false__
% 0.12/0.38 false__ -> true__
% 0.12/0.38 v_A -> c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit)
% 0.12/0.38 with the LPO induced by
% 0.12/0.38 v_A > c_Tarski_Odual > f1 > tc_set > tc_Product__Type_Ounit > t_a > v_cl > c_Tarski_Opotype_Opset > v_S > c_lessequals > false__ > true__
% 0.12/0.38
% 0.12/0.38 % SZS output end Proof
% 0.12/0.38
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