TSTP Solution File: LCL441-2 by Moca---0.1
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% File : Moca---0.1
% Problem : LCL441-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n005.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 13:01:22 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
% 0.10/0.12 % Problem : LCL441-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : moca.sh %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 16:27:07 EDT 2022
% 0.13/0.34 % 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_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a, t_a), c_PropLog_Opl_Ofalse, t_a), c_emptyset, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)) & c_in(c_PropLog_Opl_Ovar(v_a, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a, t_a), c_emptyset, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)) ==> \bottom
% 0.13/0.41 c_in(V_p, V_H, tc_PropLog_Opl(T_a)) ==> c_in(V_p, c_PropLog_Othms(V_H, T_a), tc_PropLog_Opl(T_a))
% 0.13/0.41 c_in(V_x, c_insert(V_x, V_B, T_a), T_a)
% 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_x, c_insert(V_x, V_B, T_a), T_a) = true__
% 0.13/0.41 f1(true__) = false__
% 0.13/0.41 f2(c_in(c_PropLog_Opl_Ovar(v_a, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a, t_a), c_emptyset, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a))) = true__
% 0.13/0.41 f2(true__) = f1(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a, t_a), c_PropLog_Opl_Ofalse, t_a), c_emptyset, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)))
% 0.13/0.41 f3(c_in(V_p, V_H, tc_PropLog_Opl(T_a)), V_p, V_H, T_a) = true__
% 0.13/0.41 f3(true__, V_p, V_H, T_a) = c_in(V_p, c_PropLog_Othms(V_H, T_a), tc_PropLog_Opl(T_a))
% 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_in(V_p, c_PropLog_Othms(V_H, T_a), tc_PropLog_Opl(T_a)) -> f3(true__, V_p, V_H, T_a)
% 0.13/0.41 c_in(V_x, c_insert(V_x, V_B, T_a), T_a) -> true__
% 0.13/0.41 f1(true__) -> false__
% 0.13/0.41 f2(c_in(c_PropLog_Opl_Ovar(v_a, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a, t_a), c_emptyset, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a))) -> true__
% 0.13/0.41 f2(f3(true__, c_PropLog_Opl_Ovar(v_a, t_a), c_insert(c_PropLog_Opl_Ovar(v_a, t_a), c_emptyset, tc_PropLog_Opl(t_a)), t_a)) -> true__
% 0.13/0.41 f2(true__) -> f1(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a, t_a), c_PropLog_Opl_Ofalse, t_a), c_emptyset, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)))
% 0.13/0.41 f3(c_in(V_p, V_H, tc_PropLog_Opl(T_a)), V_p, V_H, T_a) -> true__
% 0.13/0.41 f3(f3(true__, Y0, X1, Y2), Y0, c_PropLog_Othms(X1, Y2), Y2) -> true__
% 0.13/0.41 f3(true__, Y0, c_PropLog_Othms(c_insert(Y0, X1, tc_PropLog_Opl(Y2)), Y2), Y2) -> true__
% 0.13/0.41 f3(true__, Y0, c_insert(Y0, X1, tc_PropLog_Opl(Y2)), Y2) -> true__
% 0.13/0.41 true__ -> false__
% 0.13/0.41 with the LPO induced by
% 0.13/0.41 f2 > c_emptyset > c_in > f3 > f1 > tc_PropLog_Opl > c_insert > c_PropLog_Othms > c_PropLog_Opl_Ofalse > t_a > v_a > c_PropLog_Opl_Ovar > c_PropLog_Opl_Oop_A_N_62 > true__ > false__
% 0.13/0.41
% 0.13/0.41 % SZS output end Proof
% 0.13/0.41
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