TSTP Solution File: LCL431-2 by Moca---0.1
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% File : Moca---0.1
% Problem : LCL431-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n012.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 13:01:14 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
% 0.06/0.12 % Problem : LCL431-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : moca.sh %s
% 0.12/0.33 % Computer : n012.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 : Sun Jul 3 13:35:46 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_PropLog_Osat(c_emptyset, v_p, t_a)
% 0.12/0.38 c_in(v_p, c_PropLog_Othms(c_emptyset, t_a), tc_PropLog_Opl(t_a)) ==> \bottom
% 0.12/0.38 c_PropLog_Osat(c_emptyset, V_p, T_a) ==> c_in(V_p, c_PropLog_Othms(c_minus(c_PropLog_Ohyps(V_p, V_U, T_a), c_PropLog_Ohyps(V_p, V_t0, T_a), tc_set(tc_PropLog_Opl(T_a))), T_a), tc_PropLog_Opl(T_a))
% 0.12/0.38 c_minus(V_A, V_A, tc_set(T_a)) = c_emptyset
% 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_PropLog_Osat(c_emptyset, v_p, t_a) = true__
% 0.12/0.38 c_minus(V_A, V_A, tc_set(T_a)) = c_emptyset
% 0.12/0.38 f1(c_in(v_p, c_PropLog_Othms(c_emptyset, t_a), tc_PropLog_Opl(t_a))) = true__
% 0.12/0.38 f1(true__) = false__
% 0.12/0.38 f2(c_PropLog_Osat(c_emptyset, V_p, T_a), V_p, V_U, T_a, V_t0) = true__
% 0.12/0.38 f2(true__, V_p, V_U, T_a, V_t0) = c_in(V_p, c_PropLog_Othms(c_minus(c_PropLog_Ohyps(V_p, V_U, T_a), c_PropLog_Ohyps(V_p, V_t0, T_a), tc_set(tc_PropLog_Opl(T_a))), T_a), tc_PropLog_Opl(T_a))
% 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 c_in(Y0, c_PropLog_Othms(c_emptyset, Y2), tc_PropLog_Opl(Y2)) = f2(true__, Y0, Y3, Y2, Y3)
% 0.12/0.38 f2(true__, Y0, X2, Y1, X2) = f2(true__, Y0, Y2, Y1, Y2)
% 0.12/0.38 f2(true__, Y0, true__, Y2, true__) = f2(true__, Y0, Y3, Y2, Y3)
% 0.12/0.38 c_PropLog_Osat(c_emptyset, v_p, t_a) -> true__
% 0.12/0.38 c_in(V_p, c_PropLog_Othms(c_minus(c_PropLog_Ohyps(V_p, V_U, T_a), c_PropLog_Ohyps(V_p, V_t0, T_a), tc_set(tc_PropLog_Opl(T_a))), T_a), tc_PropLog_Opl(T_a)) -> f2(true__, V_p, V_U, T_a, V_t0)
% 0.12/0.38 c_minus(V_A, V_A, tc_set(T_a)) -> c_emptyset
% 0.12/0.38 f1(c_in(v_p, c_PropLog_Othms(c_emptyset, t_a), tc_PropLog_Opl(t_a))) -> true__
% 0.12/0.38 f1(true__) -> false__
% 0.12/0.38 f2(c_PropLog_Osat(c_emptyset, V_p, T_a), V_p, V_U, T_a, V_t0) -> true__
% 0.12/0.38 f2(true__, v_p, Y2, t_a, Y3) -> true__
% 0.12/0.38 false__ -> true__
% 0.12/0.38 with the LPO induced by
% 0.12/0.38 c_in > f2 > tc_set > c_emptyset > c_PropLog_Ohyps > c_minus > tc_PropLog_Opl > c_PropLog_Othms > f1 > t_a > v_p > c_PropLog_Osat > false__ > true__
% 0.12/0.38
% 0.12/0.38 % SZS output end Proof
% 0.12/0.38
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