TSTP Solution File: LCL438-2 by Moca---0.1
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%------------------------------------------------------------------------------
% File : Moca---0.1
% Problem : LCL438-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n010.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 13:01:20 EDT 2022
% Result : Unsatisfiable 2.45s 2.57s
% Output : Proof 2.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL438-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : moca.sh %s
% 0.12/0.33 % Computer : n010.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 : Sat Jul 2 15:56:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.45/2.57 % SZS status Unsatisfiable
% 2.45/2.57 % SZS output start Proof
% 2.45/2.57 The input problem is unsatisfiable because
% 2.45/2.57
% 2.45/2.57 [1] the following set of Horn clauses is unsatisfiable:
% 2.45/2.57
% 2.45/2.57 c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Oop_A_N_62(v_pa, v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a))
% 2.45/2.57 c_in(c_PropLog_Opl_Oop_A_N_62(v_p, v_pa, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a))
% 2.45/2.57 c_in(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)) ==> \bottom
% 2.45/2.57 c_in(V_p, c_PropLog_Othms(V_H, T_a), tc_PropLog_Opl(T_a)) & c_in(c_PropLog_Opl_Oop_A_N_62(V_p, V_q, T_a), c_PropLog_Othms(V_H, T_a), tc_PropLog_Opl(T_a)) ==> c_in(V_q, c_PropLog_Othms(V_H, T_a), tc_PropLog_Opl(T_a))
% 2.45/2.57 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p, c_PropLog_Opl_Oop_A_N_62(V_q, V_r, T_a), T_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p, V_q, T_a), c_PropLog_Opl_Oop_A_N_62(V_p, V_r, T_a), T_a), T_a), c_PropLog_Othms(V_H, T_a), tc_PropLog_Opl(T_a))
% 2.45/2.57
% 2.45/2.57 This holds because
% 2.45/2.57
% 2.45/2.57 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 2.45/2.57
% 2.45/2.57 E:
% 2.45/2.57 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p, c_PropLog_Opl_Oop_A_N_62(V_q, V_r, T_a), T_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p, V_q, T_a), c_PropLog_Opl_Oop_A_N_62(V_p, V_r, T_a), T_a), T_a), c_PropLog_Othms(V_H, T_a), tc_PropLog_Opl(T_a)) = true__
% 2.45/2.57 c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Oop_A_N_62(v_pa, v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)) = true__
% 2.45/2.57 c_in(c_PropLog_Opl_Oop_A_N_62(v_p, v_pa, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)) = true__
% 2.45/2.57 f1(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a))) = true__
% 2.45/2.57 f1(true__) = false__
% 2.45/2.57 f2(true__, V_q, V_H, T_a) = c_in(V_q, c_PropLog_Othms(V_H, T_a), tc_PropLog_Opl(T_a))
% 2.45/2.57 f3(c_in(c_PropLog_Opl_Oop_A_N_62(V_p, V_q, T_a), c_PropLog_Othms(V_H, T_a), tc_PropLog_Opl(T_a)), V_p, V_H, T_a, V_q) = true__
% 2.45/2.57 f3(true__, V_p, V_H, T_a, V_q) = f2(c_in(V_p, c_PropLog_Othms(V_H, T_a), tc_PropLog_Opl(T_a)), V_q, V_H, T_a)
% 2.45/2.57 G:
% 2.45/2.57 true__ = false__
% 2.45/2.57
% 2.45/2.57 This holds because
% 2.45/2.57
% 2.45/2.57 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 2.45/2.57
% 2.45/2.57
% 2.45/2.57 c_in(V_q, c_PropLog_Othms(V_H, T_a), tc_PropLog_Opl(T_a)) -> f2(true__, V_q, V_H, T_a)
% 2.45/2.57 f1(f2(true__, c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, t_a)) -> true__
% 2.45/2.57 f1(true__) -> false__
% 2.45/2.57 f2(f2(true__, c_PropLog_Opl_Oop_A_N_62(X0, c_PropLog_Opl_Oop_A_N_62(X1, X2, Y2), Y2), Y3, Y2), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0, X1, Y2), c_PropLog_Opl_Oop_A_N_62(X0, X2, Y2), Y2), Y3, Y2) -> true__
% 2.45/2.57 f2(f2(true__, v_p, v_H, t_a), c_PropLog_Opl_Oop_A_N_62(v_pa, v_q, t_a), v_H, t_a) -> true__
% 2.45/2.57 f2(f2(true__, v_p, v_H, t_a), v_pa, v_H, t_a) -> true__
% 2.45/2.57 f2(f2(true__, v_p, v_H, t_a), v_q, v_H, t_a) -> true__
% 2.45/2.57 f2(true__, c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(Y0, c_PropLog_Opl_Oop_A_N_62(Y1, Y2, Y3), Y3), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(Y0, Y1, Y3), c_PropLog_Opl_Oop_A_N_62(Y0, Y2, Y3), Y3), Y3), Y4, Y3) -> true__
% 2.45/2.57 f2(true__, c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_pa, t_a), c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), t_a), v_H, t_a) -> true__
% 2.45/2.57 f2(true__, c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Oop_A_N_62(v_pa, v_q, t_a), t_a), v_H, t_a) -> true__
% 2.45/2.57 f2(true__, c_PropLog_Opl_Oop_A_N_62(v_p, v_pa, t_a), v_H, t_a) -> true__
% 2.45/2.57 f2(true__, c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, t_a) -> true__
% 2.45/2.57 f3(f2(true__, c_PropLog_Opl_Oop_A_N_62(Y0, Y1, Y2), Y3, Y2), Y0, Y3, Y2, Y1) -> true__
% 2.45/2.57 f3(true__, V_p, V_H, T_a, V_q) -> f2(f2(true__, V_p, V_H, T_a), V_q, V_H, T_a)
% 2.45/2.57 false__ -> true__
% 2.45/2.57 with the LPO induced by
% 2.45/2.57 f3 > c_in > f2 > tc_PropLog_Opl > c_PropLog_Othms > v_q > v_H > t_a > v_pa > v_p > c_PropLog_Opl_Oop_A_N_62 > f1 > false__ > true__
% 2.45/2.57
% 2.45/2.57 % SZS output end Proof
% 2.45/2.57
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