%------------------------------------------------------------------------------
% File     : Moca---0.1
% Problem  : COL103-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : moca.sh %s

% Computer : n029.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 00:37:50 EDT 2022

% Result   : Unsatisfiable 0.13s 0.38s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : COL103-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : moca.sh %s
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue May 31 08:31:29 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.38  % SZS status Unsatisfiable
% 0.13/0.38  % SZS output start Proof
% 0.13/0.38  The input problem is unsatisfiable because
% 0.13/0.38  
% 0.13/0.38  [1] the following set of Horn clauses is unsatisfiable:
% 0.13/0.38  
% 0.13/0.38  	c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z, v_x), c_Comb_Ocomb_Oop_A_D_D(v_z, v_x), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Transitive__Closure_Ortrancl(c_Comb_Ocontract, tc_Comb_Ocomb), tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)) ==> \bottom
% 0.13/0.38  	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))
% 0.13/0.38  
% 0.13/0.38  This holds because
% 0.13/0.38  
% 0.13/0.38  [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.13/0.38  
% 0.13/0.38  E:
% 0.13/0.38  	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__
% 0.13/0.38  	f1(c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z, v_x), c_Comb_Ocomb_Oop_A_D_D(v_z, v_x), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Transitive__Closure_Ortrancl(c_Comb_Ocontract, tc_Comb_Ocomb), tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb))) = true__
% 0.13/0.38  	f1(true__) = false__
% 0.13/0.38  G:
% 0.13/0.38  	true__ = false__
% 0.13/0.38  
% 0.13/0.38  This holds because
% 0.13/0.38  
% 0.13/0.38  [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  	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__
% 0.13/0.38  	f1(c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z, v_x), c_Comb_Ocomb_Oop_A_D_D(v_z, v_x), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Transitive__Closure_Ortrancl(c_Comb_Ocontract, tc_Comb_Ocomb), tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb))) -> true__
% 0.13/0.38  	f1(true__) -> false__
% 0.13/0.38  	false__ -> true__
% 0.13/0.38  with the LPO induced by
% 0.13/0.38  	tc_prod > c_Comb_Ocontract > c_Transitive__Closure_Ortrancl > tc_Comb_Ocomb > v_x > v_z > c_Comb_Ocomb_Oop_A_D_D > c_Pair > c_in > f1 > false__ > true__
% 0.13/0.38  
% 0.13/0.38  % SZS output end Proof
% 0.13/0.38  
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