TSTP Solution File: LCL436-2 by Moca---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Moca---0.1
% Problem : LCL436-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n015.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 13:01:18 EDT 2022
% Result : Unsatisfiable 0.20s 0.41s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : LCL436-2 : TPTP v8.1.0. Released v3.2.0.
% 0.05/0.13 % Command : moca.sh %s
% 0.13/0.35 % Computer : n015.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 : Mon Jul 4 15:31:01 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.41 % SZS status Unsatisfiable
% 0.20/0.41 % SZS output start Proof
% 0.20/0.41 The input problem is unsatisfiable because
% 0.20/0.41
% 0.20/0.41 [1] the following set of Horn clauses is unsatisfiable:
% 0.20/0.41
% 0.20/0.41 c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa, 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_pa, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(v_pa, v_r, t_a), t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)) ==> \bottom
% 0.20/0.41 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))
% 0.20/0.41 c_in(V_q, 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))
% 0.20/0.41
% 0.20/0.41 This holds because
% 0.20/0.41
% 0.20/0.41 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.20/0.41
% 0.20/0.41 E:
% 0.20/0.41 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__
% 0.20/0.41 f1(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa, 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_pa, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(v_pa, v_r, t_a), t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a))) = true__
% 0.20/0.41 f1(true__) = false__
% 0.20/0.41 f2(c_in(V_q, c_PropLog_Othms(V_H, T_a), tc_PropLog_Opl(T_a)), V_p, V_q, T_a, V_H) = true__
% 0.20/0.41 f2(true__, V_p, V_q, T_a, V_H) = 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))
% 0.20/0.41 G:
% 0.20/0.41 true__ = false__
% 0.20/0.41
% 0.20/0.41 This holds because
% 0.20/0.41
% 0.20/0.41 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 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)) -> f2(true__, V_p, V_q, T_a, V_H)
% 0.20/0.41 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__
% 0.20/0.41 f1(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa, 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_pa, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(v_pa, v_r, t_a), t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a))) -> true__
% 0.20/0.41 f1(f2(true__, v_p, c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa, 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_pa, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(v_pa, v_r, t_a), t_a), t_a), t_a, v_H)) -> true__
% 0.20/0.41 f1(true__) -> false__
% 0.20/0.41 f2(c_in(V_q, c_PropLog_Othms(V_H, T_a), tc_PropLog_Opl(T_a)), V_p, V_q, T_a, V_H) -> true__
% 0.20/0.41 f2(f2(true__, X0, X1, Y2, Y1), Y3, c_PropLog_Opl_Oop_A_N_62(X0, X1, Y2), Y2, Y1) -> true__
% 0.20/0.41 f2(true__, Y3, c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0, c_PropLog_Opl_Oop_A_N_62(X1, X2, Y2), 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), Y2), Y2, Y1) -> true__
% 0.20/0.41 f2(true__, Y4, c_PropLog_Opl_Oop_A_N_62(Y0, c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1, c_PropLog_Opl_Oop_A_N_62(X2, X3, Y2), Y2), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1, X2, Y2), c_PropLog_Opl_Oop_A_N_62(X1, X3, Y2), Y2), Y2), Y2), Y2, Y3) -> true__
% 0.20/0.41 f2(true__, 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) -> true__
% 0.20/0.41 false__ -> true__
% 0.20/0.41 with the LPO induced by
% 0.20/0.41 v_pa > c_in > f2 > c_PropLog_Opl_Oop_A_N_62 > tc_PropLog_Opl > v_H > c_PropLog_Othms > t_a > v_r > v_q > v_p > f1 > false__ > true__
% 0.20/0.41
% 0.20/0.41 % SZS output end Proof
% 0.20/0.41
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