TSTP Solution File: COL122-2 by Moca---0.1
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- Process Solution
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% File : Moca---0.1
% Problem : COL122-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n019.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 : Fri Jul 15 00:38:04 EDT 2022
% Result : Unsatisfiable 0.19s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COL122-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : moca.sh %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue May 31 06:15:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.39 % SZS status Unsatisfiable
% 0.19/0.39 % SZS output start Proof
% 0.19/0.39 The input problem is unsatisfiable because
% 0.19/0.39
% 0.19/0.39 [1] the following set of Horn clauses is unsatisfiable:
% 0.19/0.39
% 0.19/0.39 c_in(c_Pair(v_x, v_xaa, t_a, t_a), v_r, tc_prod(t_a, t_a))
% 0.19/0.39 c_in(c_Pair(v_x, V_U, t_a, t_a), v_r, tc_prod(t_a, t_a)) & c_in(c_Pair(v_xaa, V_U, t_a, t_a), c_Transitive__Closure_Ortrancl(v_r, t_a), tc_prod(t_a, t_a)) ==> \bottom
% 0.19/0.39 c_in(c_Pair(V_a, V_a, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a))
% 0.19/0.39
% 0.19/0.39 This holds because
% 0.19/0.39
% 0.19/0.39 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.19/0.39
% 0.19/0.39 E:
% 0.19/0.39 c_in(c_Pair(V_a, V_a, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) = true__
% 0.19/0.39 c_in(c_Pair(v_x, v_xaa, t_a, t_a), v_r, tc_prod(t_a, t_a)) = true__
% 0.19/0.39 f1(true__) = false__
% 0.19/0.39 f2(c_in(c_Pair(v_xaa, V_U, t_a, t_a), c_Transitive__Closure_Ortrancl(v_r, t_a), tc_prod(t_a, t_a)), V_U) = true__
% 0.19/0.39 f2(true__, V_U) = f1(c_in(c_Pair(v_x, V_U, t_a, t_a), v_r, tc_prod(t_a, t_a)))
% 0.19/0.39 G:
% 0.19/0.39 true__ = false__
% 0.19/0.39
% 0.19/0.39 This holds because
% 0.19/0.39
% 0.19/0.39 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39 c_in(c_Pair(V_a, V_a, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) -> true__
% 0.19/0.39 c_in(c_Pair(v_x, v_xaa, t_a, t_a), v_r, tc_prod(t_a, t_a)) -> true__
% 0.19/0.39 f1(c_in(c_Pair(v_x, V_U, t_a, t_a), v_r, tc_prod(t_a, t_a))) -> f2(true__, V_U)
% 0.19/0.39 f1(true__) -> false__
% 0.19/0.39 f2(c_in(c_Pair(v_xaa, V_U, t_a, t_a), c_Transitive__Closure_Ortrancl(v_r, t_a), tc_prod(t_a, t_a)), V_U) -> true__
% 0.19/0.39 f2(true__, v_xaa) -> false__
% 0.19/0.39 f2(true__, v_xaa) -> true__
% 0.19/0.39 false__ -> true__
% 0.19/0.39 with the LPO induced by
% 0.19/0.39 c_Transitive__Closure_Ortrancl > f1 > f2 > v_r > t_a > v_x > tc_prod > v_xaa > c_Pair > c_in > false__ > true__
% 0.19/0.39
% 0.19/0.39 % SZS output end Proof
% 0.19/0.39
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