%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL117-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:09:11 PM UTC 2026
% Result : Unsatisfiable 0.37s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL117-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n020.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 14:13:02 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.15/0.41 % Drodi V4.1.1
% 0.37/0.56 % Refutation found
% 0.37/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.37/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.37/0.56 fof(f20,axiom,(
% 0.37/0.56 (![V_x,V_y,V_z]: (c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,V_x),V_y),V_z),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(V_x,V_z),c_Comb_Ocomb_Oop_A_D_D(V_y,V_z)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ))),
% 0.37/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.37/0.56 fof(f21,axiom,(
% 0.37/0.56 (![V_z,V_w,V_x,V_y]: (( ~ c_in(c_Pair(V_z,V_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))| ~ c_in(c_Pair(V_x,V_y,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))| c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_x,V_z),c_Comb_Ocomb_Oop_A_D_D(V_y,V_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ))),
% 0.37/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.37/0.56 fof(f1404,negated_conjecture,(
% 0.37/0.56 c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
% 0.37/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.37/0.56 fof(f1405,negated_conjecture,(
% 0.37/0.56 c_in(c_Pair(v_x,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
% 0.37/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.37/0.56 fof(f1406,negated_conjecture,(
% 0.37/0.56 c_in(c_Pair(v_ya,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
% 0.37/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.37/0.56 fof(f1407,negated_conjecture,(
% 0.37/0.56 (![V_U]: (( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x_H),v_y_Ha),v_w),V_U,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z)),V_U,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ))),
% 0.37/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.37/0.56 fof(f1429,plain,(
% 0.37/0.56 ![X0,X1,X2]: (c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,X0),X1),X2),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(X0,X2),c_Comb_Ocomb_Oop_A_D_D(X1,X2)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.37/0.56 inference(cnf_transformation,[status(thm)],[f20])).
% 0.37/0.56 fof(f1430,plain,(
% 0.37/0.56 ![X0,X1,X2,X3]: (~c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|~c_in(c_Pair(X2,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X2,X0),c_Comb_Ocomb_Oop_A_D_D(X3,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.37/0.56 inference(cnf_transformation,[status(thm)],[f21])).
% 0.37/0.56 fof(f2935,plain,(
% 0.37/0.56 c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))),
% 0.37/0.56 inference(cnf_transformation,[status(thm)],[f1404])).
% 0.37/0.56 fof(f2936,plain,(
% 0.37/0.56 c_in(c_Pair(v_x,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))),
% 0.37/0.56 inference(cnf_transformation,[status(thm)],[f1405])).
% 0.37/0.56 fof(f2937,plain,(
% 0.37/0.56 c_in(c_Pair(v_ya,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))),
% 0.37/0.56 inference(cnf_transformation,[status(thm)],[f1406])).
% 0.37/0.56 fof(f2938,plain,(
% 0.37/0.56 ![X0]: (~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x_H),v_y_Ha),v_w),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z)),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.37/0.56 inference(cnf_transformation,[status(thm)],[f1407])).
% 0.37/0.56 fof(f2947,plain,(
% 0.37/0.56 ~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z)),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))),
% 0.37/0.56 inference(resolution,[status(thm)],[f1429,f2938])).
% 0.37/0.56 fof(f2966,plain,(
% 0.37/0.56 ~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))),
% 0.37/0.56 inference(resolution,[status(thm)],[f2947,f1430])).
% 0.37/0.56 fof(f2967,definition,(
% 0.37/0.56 sQ2_spl <=> (c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.37/0.56 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.37/0.56 fof(f2969,plain,(
% 0.37/0.56 ~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|sQ2_spl),
% 0.37/0.56 inference(component_clause,[status(thm)],[f2967])).
% 0.37/0.56 fof(f2970,definition,(
% 0.37/0.56 sQ3_spl <=> (c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.37/0.56 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.37/0.56 fof(f2972,plain,(
% 0.37/0.56 ~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|sQ3_spl),
% 0.37/0.56 inference(component_clause,[status(thm)],[f2970])).
% 0.37/0.56 fof(f2973,plain,(
% 0.37/0.56 ~sQ2_spl|~sQ3_spl),
% 0.37/0.56 inference(split_clause,[status(thm)],[f2966,f2967,f2970])).
% 0.37/0.56 fof(f2974,plain,(
% 0.37/0.56 ~c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|~c_in(c_Pair(v_ya,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|sQ2_spl),
% 0.37/0.56 inference(resolution,[status(thm)],[f2969,f1430])).
% 0.37/0.56 fof(f2975,definition,(
% 0.37/0.56 sQ4_spl <=> (c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.37/0.56 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.37/0.56 fof(f2977,plain,(
% 0.37/0.56 ~c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|sQ4_spl),
% 0.37/0.56 inference(component_clause,[status(thm)],[f2975])).
% 0.37/0.56 fof(f2978,definition,(
% 0.37/0.56 sQ5_spl <=> (c_in(c_Pair(v_ya,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.37/0.56 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.37/0.56 fof(f2980,plain,(
% 0.37/0.56 ~c_in(c_Pair(v_ya,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|sQ5_spl),
% 0.37/0.56 inference(component_clause,[status(thm)],[f2978])).
% 0.37/0.56 fof(f2981,plain,(
% 0.37/0.56 ~sQ4_spl|~sQ5_spl|sQ2_spl),
% 0.37/0.56 inference(split_clause,[status(thm)],[f2974,f2975,f2978,f2967])).
% 0.37/0.56 fof(f2982,plain,(
% 0.37/0.56 $false|sQ5_spl),
% 0.37/0.56 inference(forward_subsumption_resolution,[status(thm)],[f2980,f2937])).
% 0.37/0.56 fof(f2983,plain,(
% 0.37/0.56 sQ5_spl),
% 0.37/0.56 inference(contradiction_clause,[status(thm)],[f2982])).
% 0.37/0.56 fof(f2984,plain,(
% 0.37/0.56 $false|sQ4_spl),
% 0.37/0.56 inference(forward_subsumption_resolution,[status(thm)],[f2977,f2935])).
% 0.37/0.56 fof(f2985,plain,(
% 0.37/0.56 sQ4_spl),
% 0.37/0.56 inference(contradiction_clause,[status(thm)],[f2984])).
% 0.37/0.56 fof(f2987,plain,(
% 0.37/0.56 ~c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|~c_in(c_Pair(v_x,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|sQ3_spl),
% 0.37/0.56 inference(resolution,[status(thm)],[f2972,f1430])).
% 0.37/0.56 fof(f2988,definition,(
% 0.37/0.56 sQ6_spl <=> (c_in(c_Pair(v_x,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.37/0.56 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.37/0.56 fof(f2990,plain,(
% 0.37/0.56 ~c_in(c_Pair(v_x,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|sQ6_spl),
% 0.37/0.56 inference(component_clause,[status(thm)],[f2988])).
% 0.37/0.56 fof(f2991,plain,(
% 0.37/0.56 ~sQ4_spl|~sQ6_spl|sQ3_spl),
% 0.37/0.56 inference(split_clause,[status(thm)],[f2987,f2975,f2988,f2970])).
% 0.37/0.56 fof(f2992,plain,(
% 0.37/0.56 $false|sQ6_spl),
% 0.37/0.56 inference(forward_subsumption_resolution,[status(thm)],[f2990,f2936])).
% 0.37/0.56 fof(f2993,plain,(
% 0.37/0.56 sQ6_spl),
% 0.37/0.56 inference(contradiction_clause,[status(thm)],[f2992])).
% 0.37/0.56 fof(f2994,plain,(
% 0.37/0.56 $false),
% 0.37/0.56 inference(sat_refutation,[status(thm)],[f2973,f2981,f2983,f2985,f2991,f2993])).
% 0.37/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.37/0.59 % Elapsed time: 0.206742 seconds
% 0.37/0.59 % CPU time: 1.051363 seconds
% 0.37/0.59 % Total memory used: 180.376 MB
% 0.37/0.59 % Net memory used: 179.134 MB
%------------------------------------------------------------------------------