TSTP Solution File: LAT278-2 by Moca---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Moca---0.1
% Problem : LAT278-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n029.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 06:05:49 EDT 2022
% Result : Unsatisfiable 0.13s 0.41s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LAT278-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : moca.sh %s
% 0.13/0.35 % Computer : n029.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 : Wed Jun 29 22:02:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.41 % SZS status Unsatisfiable
% 0.13/0.41 % SZS output start Proof
% 0.13/0.41 The input problem is unsatisfiable because
% 0.13/0.41
% 0.13/0.41 [1] the following set of Horn clauses is unsatisfiable:
% 0.13/0.41
% 0.13/0.41 c_Relation_Orefl(v_A, v_r, t_a) ==> \bottom
% 0.13/0.41 v_A = c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit)
% 0.13/0.41 c_in(V_P, c_Tarski_OPartialOrder, tc_Tarski_Opotype_Opotype__ext__type(T_a, tc_Product__Type_Ounit)) ==> c_Relation_Orefl(c_Tarski_Opotype_Opset(V_P, T_a, tc_Product__Type_Ounit), c_Tarski_Opotype_Oorder(V_P, T_a, tc_Product__Type_Ounit), T_a)
% 0.13/0.41 c_in(v_cl, c_Tarski_OPartialOrder, tc_Tarski_Opotype_Opotype__ext__type(t_a, tc_Product__Type_Ounit))
% 0.13/0.41 v_r = c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit)
% 0.13/0.41
% 0.13/0.41 This holds because
% 0.13/0.41
% 0.13/0.41 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.13/0.41
% 0.13/0.41 E:
% 0.13/0.41 c_in(v_cl, c_Tarski_OPartialOrder, tc_Tarski_Opotype_Opotype__ext__type(t_a, tc_Product__Type_Ounit)) = true__
% 0.13/0.41 f1(c_Relation_Orefl(v_A, v_r, t_a)) = true__
% 0.13/0.41 f1(true__) = false__
% 0.13/0.41 f2(c_in(V_P, c_Tarski_OPartialOrder, tc_Tarski_Opotype_Opotype__ext__type(T_a, tc_Product__Type_Ounit)), V_P, T_a) = true__
% 0.13/0.41 f2(true__, V_P, T_a) = c_Relation_Orefl(c_Tarski_Opotype_Opset(V_P, T_a, tc_Product__Type_Ounit), c_Tarski_Opotype_Oorder(V_P, T_a, tc_Product__Type_Ounit), T_a)
% 0.13/0.41 v_A = c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit)
% 0.13/0.41 v_r = c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit)
% 0.13/0.41 G:
% 0.13/0.41 true__ = false__
% 0.13/0.41
% 0.13/0.41 This holds because
% 0.13/0.41
% 0.13/0.41 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.13/0.41
% 0.13/0.41
% 0.13/0.41 c_Relation_Orefl(c_Tarski_Opotype_Opset(V_P, T_a, tc_Product__Type_Ounit), c_Tarski_Opotype_Oorder(V_P, T_a, tc_Product__Type_Ounit), T_a) -> f2(true__, V_P, T_a)
% 0.13/0.41 c_Relation_Orefl(v_A, v_r, t_a) -> f2(true__, v_cl, t_a)
% 0.13/0.41 c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit) -> v_r
% 0.13/0.41 c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit) -> v_A
% 0.13/0.41 c_in(v_cl, c_Tarski_OPartialOrder, tc_Tarski_Opotype_Opotype__ext__type(t_a, tc_Product__Type_Ounit)) -> true__
% 0.13/0.41 f1(c_Relation_Orefl(v_A, v_r, t_a)) -> true__
% 0.13/0.41 f1(true__) -> false__
% 0.13/0.41 f2(c_in(V_P, c_Tarski_OPartialOrder, tc_Tarski_Opotype_Opotype__ext__type(T_a, tc_Product__Type_Ounit)), V_P, T_a) -> true__
% 0.13/0.41 f2(true__, v_cl, t_a) -> true__
% 0.13/0.41 false__ -> true__
% 0.13/0.41 with the LPO induced by
% 0.13/0.41 tc_Tarski_Opotype_Opotype__ext__type > c_Tarski_OPartialOrder > c_in > f1 > c_Relation_Orefl > f2 > c_Tarski_Opotype_Opset > v_A > t_a > v_r > v_cl > tc_Product__Type_Ounit > c_Tarski_Opotype_Oorder > false__ > true__
% 0.13/0.41
% 0.13/0.41 % SZS output end Proof
% 0.13/0.41
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