TSTP Solution File: LAT270-2 by Moca---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Moca---0.1
% Problem : LAT270-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n007.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 06:05:43 EDT 2022
% Result : Unsatisfiable 0.86s 1.06s
% Output : Proof 0.86s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT270-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : moca.sh %s
% 0.13/0.35 % Computer : n007.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 Jun 28 22:20:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.86/1.06 % SZS status Unsatisfiable
% 0.86/1.06 % SZS output start Proof
% 0.86/1.06 The input problem is unsatisfiable because
% 0.86/1.06
% 0.86/1.06 [1] the following set of Horn clauses is unsatisfiable:
% 0.86/1.06
% 0.86/1.06 c_in(v_a, v_A, t_a)
% 0.86/1.06 c_in(v_b, v_A, t_a)
% 0.86/1.06 c_lessequals(v_S, c_Tarski_Ointerval(v_r, v_a, v_b, t_a), tc_set(t_a))
% 0.86/1.06 c_lessequals(v_S, v_A, tc_set(t_a)) ==> \bottom
% 0.86/1.06 c_in(V_b, v_A, t_a) & c_in(V_a, v_A, t_a) & c_lessequals(V_S, c_Tarski_Ointerval(v_r, V_a, V_b, t_a), tc_set(t_a)) ==> c_lessequals(V_S, v_A, tc_set(t_a))
% 0.86/1.06
% 0.86/1.06 This holds because
% 0.86/1.06
% 0.86/1.06 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.86/1.06
% 0.86/1.06 E:
% 0.86/1.06 c_in(v_a, v_A, t_a) = true__
% 0.86/1.06 c_in(v_b, v_A, t_a) = true__
% 0.86/1.06 c_lessequals(v_S, c_Tarski_Ointerval(v_r, v_a, v_b, t_a), tc_set(t_a)) = true__
% 0.86/1.06 f1(c_lessequals(v_S, v_A, tc_set(t_a))) = true__
% 0.86/1.06 f1(true__) = false__
% 0.86/1.06 f2(true__, V_S) = c_lessequals(V_S, v_A, tc_set(t_a))
% 0.86/1.06 f3(true__, V_b, V_S) = f2(c_in(V_b, v_A, t_a), V_S)
% 0.86/1.06 f4(c_lessequals(V_S, c_Tarski_Ointerval(v_r, V_a, V_b, t_a), tc_set(t_a)), V_a, V_b, V_S) = true__
% 0.86/1.06 f4(true__, V_a, V_b, V_S) = f3(c_in(V_a, v_A, t_a), V_b, V_S)
% 0.86/1.06 G:
% 0.86/1.06 true__ = false__
% 0.86/1.06
% 0.86/1.06 This holds because
% 0.86/1.06
% 0.86/1.06 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.86/1.06
% 0.86/1.06
% 0.86/1.06 c_in(v_a, v_A, t_a) -> true__
% 0.86/1.06 c_in(v_b, v_A, t_a) -> true__
% 0.86/1.06 c_lessequals(V_S, v_A, tc_set(t_a)) -> f2(true__, V_S)
% 0.86/1.06 c_lessequals(v_S, c_Tarski_Ointerval(v_r, v_a, v_b, t_a), tc_set(t_a)) -> true__
% 0.86/1.06 f1(c_lessequals(v_S, v_A, tc_set(t_a))) -> true__
% 0.86/1.06 f1(f2(true__, v_S)) -> true__
% 0.86/1.06 f1(f4(true__, v_a, v_a, v_S)) -> true__
% 0.86/1.06 f1(f4(true__, v_b, v_a, v_S)) -> true__
% 0.86/1.06 f1(f4(true__, v_b, v_b, v_S)) -> true__
% 0.86/1.06 f1(true__) -> false__
% 0.86/1.06 f2(c_in(V_b, v_A, t_a), V_S) -> f3(true__, V_b, V_S)
% 0.86/1.06 f2(true__, Y1) -> f3(true__, v_a, Y1)
% 0.86/1.06 f2(true__, Y1) -> f3(true__, v_b, Y1)
% 0.86/1.06 f3(c_in(V_a, v_A, t_a), V_b, V_S) -> f4(true__, V_a, V_b, V_S)
% 0.86/1.06 f3(true__, Y1, Y2) -> f4(true__, v_a, Y1, Y2)
% 0.86/1.06 f3(true__, Y1, Y2) -> f4(true__, v_b, Y1, Y2)
% 0.86/1.06 f4(c_lessequals(V_S, c_Tarski_Ointerval(v_r, V_a, V_b, t_a), tc_set(t_a)), V_a, V_b, V_S) -> true__
% 0.86/1.06 f4(true__, v_a, v_b, Y0) -> f4(true__, v_a, v_a, Y0)
% 0.86/1.06 f4(true__, v_a, v_b, v_S) -> true__
% 0.86/1.06 f4(true__, v_b, Y1, Y2) -> f4(true__, v_a, Y1, Y2)
% 0.86/1.06 f4(true__, v_b, v_b, Y1) -> f4(true__, v_b, v_a, Y1)
% 0.86/1.06 false__ -> true__
% 0.86/1.06 with the LPO induced by
% 0.86/1.06 c_lessequals > f2 > f3 > tc_set > f4 > t_a > v_A > f1 > v_r > c_Tarski_Ointerval > v_S > v_b > v_a > c_in > false__ > true__
% 0.86/1.06
% 0.86/1.06 % SZS output end Proof
% 0.86/1.06
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