TSTP Solution File: SWV819-1 by Moca---0.1
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- Process Solution
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% File : Moca---0.1
% Problem : SWV819-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n021.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 : Wed Jul 20 20:47:40 EDT 2022
% Result : Unsatisfiable 0.12s 0.36s
% 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
% 0.06/0.11 % Problem : SWV819-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : moca.sh %s
% 0.12/0.32 % Computer : n021.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jun 15 19:14:59 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.36 % SZS status Unsatisfiable
% 0.12/0.36 % SZS output start Proof
% 0.12/0.36 The input problem is unsatisfiable because
% 0.12/0.36
% 0.12/0.36 [1] the following set of Horn clauses is unsatisfiable:
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% 0.12/0.36 c_Code__Evaluation_Otracing(V_s, V_x, T_a) = V_x
% 0.12/0.36 c_Code__Evaluation_Otracing(v_s, v_x, t_a) = v_x
% 0.12/0.36 v_s = v_t ==> \bottom
% 0.12/0.36 V_s = v_ta
% 0.12/0.36 v_ta = v_t ==> \bottom
% 0.12/0.36
% 0.12/0.36 This holds because
% 0.12/0.36
% 0.12/0.36 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.12/0.36
% 0.12/0.36 E:
% 0.12/0.36 V_s = v_ta
% 0.12/0.36 c_Code__Evaluation_Otracing(V_s, V_x, T_a) = V_x
% 0.12/0.36 c_Code__Evaluation_Otracing(v_s, v_x, t_a) = v_x
% 0.12/0.36 f1(v_s) = true__
% 0.12/0.36 f1(v_t) = false__
% 0.12/0.36 f2(v_t) = false__
% 0.12/0.36 f2(v_ta) = true__
% 0.12/0.36 G:
% 0.12/0.36 true__ = false__
% 0.12/0.36
% 0.12/0.36 This holds because
% 0.12/0.36
% 0.12/0.36 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.12/0.36
% 0.12/0.36 V_s = v_ta
% 0.12/0.36 X0 = Y0
% 0.12/0.36 false__ = Y0
% 0.12/0.36 c_Code__Evaluation_Otracing(V_s, V_x, T_a) -> V_x
% 0.12/0.36 f1(v_s) -> true__
% 0.12/0.36 f1(v_t) -> false__
% 0.12/0.36 f2(v_t) -> false__
% 0.12/0.36 f2(v_ta) -> true__
% 0.12/0.36 true__ -> false__
% 0.12/0.36 with the LPO induced by
% 0.12/0.36 f2 > v_ta > v_t > f1 > t_a > v_x > v_s > c_Code__Evaluation_Otracing > true__ > false__
% 0.12/0.36
% 0.12/0.36 % SZS output end Proof
% 0.12/0.36
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