%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SCT026-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 02:07:13 PM UTC 2026
% Result : Unsatisfiable 66.28s 8.95s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT026-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n004.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 04:26:49 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.12/0.42 % Drodi V4.1.1
% 66.28/8.95 % Refutation found
% 66.28/8.95 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 66.28/8.95 % SZS output start CNFRefutation for theBenchmark
% 66.28/8.95 fof(f24,axiom,(
% 66.28/8.95 (![T_a,V_f,V_A,T_b]: (( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)| V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ))),
% 66.28/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.28/8.95 fof(f38,axiom,(
% 66.28/8.95 (![T_a,V_x]: (~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ))),
% 66.28/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.28/8.95 fof(f47,axiom,(
% 66.28/8.95 (![V_A,T_a]: (( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ))),
% 66.28/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.28/8.95 fof(f217,axiom,(
% 66.28/8.95 (![V_f,V_A,T_a,T_b,V_B]: (( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))| ~ c_in(V_f,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b)) ) ))),
% 66.28/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.28/8.95 fof(f319,axiom,(
% 66.28/8.95 (![V_f,V_A,V_B,T_a,T_b]: (( c_in(V_f,c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b))| c_in(c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b),V_A,T_a) ) ))),
% 66.28/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.28/8.95 fof(f359,axiom,(
% 66.28/8.95 (![V_b,V_a,T_b,T_a,V_r]: (( c_in(c_Pair(V_b,V_a,T_b,T_a),c_Relation_Oconverse(V_r,T_a,T_b),tc_prod(T_b,T_a))| ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ))),
% 66.28/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.28/8.95 fof(f448,axiom,(
% 66.28/8.95 c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
% 66.28/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.28/8.95 fof(f450,axiom,(
% 66.28/8.95 (![V_L]: (( c_in(c_Relation_Oconverse(V_L,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))| ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ) ))),
% 66.28/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.28/8.95 fof(f505,axiom,(
% 66.28/8.95 v_a != v_b ),
% 66.28/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.28/8.95 fof(f507,axiom,(
% 66.28/8.95 (![V_y,V_x,V_L]: (( c_in(c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| V_x = V_y| ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ) ))),
% 66.28/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.28/8.95 fof(f509,axiom,(
% 66.28/8.95 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ c_in(V_x,V_S,T_a) ) ))),
% 66.28/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.28/8.95 fof(f511,negated_conjecture,(
% 66.28/8.95 (![V_x]: (( ~ c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(V_x,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ) ))),
% 66.28/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.28/8.95 fof(f564,plain,(
% 66.28/8.95 ![V_A,T_b]: ((![T_a,V_f]: ~c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_Set_Oimage(V_f,V_A,T_b,T_a))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))),
% 66.28/8.95 inference(miniscoping,[status(thm)],[f24])).
% 66.28/8.95 fof(f565,plain,(
% 66.28/8.95 ![X0,X1,X2,X3]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Set_Oimage(X1,X2,X3,X0)|X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))),
% 66.28/8.95 inference(cnf_transformation,[status(thm)],[f564])).
% 66.28/8.95 fof(f582,plain,(
% 66.28/8.95 ![X0,X1]: (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)))),
% 66.28/8.95 inference(cnf_transformation,[status(thm)],[f38])).
% 66.28/8.95 fof(f597,plain,(
% 66.28/8.95 ![X0,X1]: (X0=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)))),
% 66.28/8.95 inference(cnf_transformation,[status(thm)],[f47])).
% 66.28/8.95 fof(f867,plain,(
% 66.28/8.95 ![X0,X1,X2,X3,X4]: (c_lessequals(c_Set_Oimage(X0,X1,X2,X3),X4,tc_fun(X3,tc_bool))|~c_in(X0,c_FuncSet_OPi(X1,c_COMBK(X4,tc_fun(X3,tc_bool),X2),X2,X3),tc_fun(X2,X3)))),
% 66.28/8.95 inference(cnf_transformation,[status(thm)],[f217])).
% 66.28/8.95 fof(f1012,plain,(
% 66.28/8.95 ![X0,X1,X2,X3,X4]: (c_in(X0,c_FuncSet_OPi(X1,X2,X3,X4),tc_fun(X3,X4))|c_in(c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X1,X2,X0,X3,X4),X1,X3))),
% 66.28/8.95 inference(cnf_transformation,[status(thm)],[f319])).
% 66.28/8.95 fof(f1068,plain,(
% 66.28/8.95 ![X0,X1,X2,X3,X4]: (c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))|~c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)))),
% 66.28/8.95 inference(cnf_transformation,[status(thm)],[f359])).
% 66.28/8.95 fof(f1193,plain,(
% 66.28/8.95 c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
% 66.28/8.95 inference(cnf_transformation,[status(thm)],[f448])).
% 66.28/8.95 fof(f1195,plain,(
% 66.28/8.95 ![X0]: (c_in(c_Relation_Oconverse(X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
% 66.28/8.95 inference(cnf_transformation,[status(thm)],[f450])).
% 66.28/8.95 fof(f1293,plain,(
% 66.28/8.95 ~v_a=v_b),
% 66.28/8.95 inference(cnf_transformation,[status(thm)],[f505])).
% 66.28/8.95 fof(f1296,plain,(
% 66.28/8.95 ![V_L]: ((![V_y,V_x]: ((c_in(c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|V_x=V_y))|~c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
% 66.28/8.95 inference(miniscoping,[status(thm)],[f507])).
% 66.28/8.95 fof(f1297,plain,(
% 66.28/8.95 ![X0,X1,X2]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|X1=X0|~c_in(X2,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
% 66.28/8.95 inference(cnf_transformation,[status(thm)],[f1296])).
% 66.28/8.95 fof(f1300,plain,(
% 66.28/8.95 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~c_in(V_x,V_S,T_a)))),
% 66.28/8.95 inference(miniscoping,[status(thm)],[f509])).
% 66.28/8.95 fof(f1301,plain,(
% 66.28/8.95 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~c_in(X1,X0,X2))),
% 66.28/8.95 inference(cnf_transformation,[status(thm)],[f1300])).
% 66.28/8.95 fof(f1304,plain,(
% 66.28/8.95 ![X0]: (~c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
% 66.28/8.95 inference(cnf_transformation,[status(thm)],[f511])).
% 66.28/8.95 fof(f2751,plain,(
% 66.28/8.95 ![X0,X1,X2]: (~c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2))),
% 66.28/8.95 inference(resolution,[status(thm)],[f1301,f582])).
% 66.28/8.95 fof(f11759,plain,(
% 66.28/8.95 ![X0,X1,X2,X3,X4]: (c_in(X0,c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OLin,X1,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2))|c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(c_Arrow__Order__Mirabelle_OLin,X1,X0,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(X4,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(c_Arrow__Order__Mirabelle_OLin,X1,X0,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|X4=X3)),
% 66.28/8.95 inference(resolution,[status(thm)],[f1012,f1297])).
% 66.28/8.95 fof(f11760,plain,(
% 66.28/8.95 ![X0,X1,X2]: (c_in(X0,c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OLin,X1,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2))|c_in(c_Relation_Oconverse(c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(c_Arrow__Order__Mirabelle_OLin,X1,X0,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
% 66.28/8.95 inference(resolution,[status(thm)],[f1012,f1195])).
% 66.28/8.95 fof(f12073,plain,(
% 66.28/8.95 ![X0,X1,X2]: (c_in(X0,c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OLin,X1,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2))|c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(c_Arrow__Order__Mirabelle_OLin,X1,X0,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|v_b=v_a|~c_in(c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(c_Arrow__Order__Mirabelle_OLin,X1,X0,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
% 66.28/8.95 inference(resolution,[status(thm)],[f11759,f1304])).
% 66.28/8.95 fof(f12155,plain,(
% 66.28/8.95 ![X0,X1,X2]: (c_in(X0,c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OLin,X1,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2))|c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(c_Arrow__Order__Mirabelle_OLin,X1,X0,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(c_Arrow__Order__Mirabelle_OLin,X1,X0,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
% 66.28/8.95 inference(forward_subsumption_resolution,[status(thm)],[f12073,f1293])).
% 66.28/8.95 fof(f14348,plain,(
% 66.28/8.95 ![X0,X1,X2]: (c_in(X0,c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OLin,X1,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2))|c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(c_Arrow__Order__Mirabelle_OLin,X1,X0,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 66.28/8.95 inference(forward_subsumption_resolution,[status(thm)],[f12155,f1012])).
% 66.28/8.95 fof(f16279,plain,(
% 66.28/8.95 ![X0]: (~c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Relation_Oconverse(X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
% 66.28/9.01 inference(resolution,[status(thm)],[f1068,f1304])).
% 66.28/9.01 fof(f16473,plain,(
% 66.28/9.01 ![X0,X1,X2]: (~c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(c_Arrow__Order__Mirabelle_OLin,X0,X1,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(X1,c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OLin,X0,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2)))),
% 66.28/9.01 inference(resolution,[status(thm)],[f16279,f11760])).
% 66.28/9.01 fof(f16488,plain,(
% 66.28/9.01 ![X0,X1,X2]: (c_in(X0,c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OLin,X1,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2)))),
% 66.28/9.01 inference(forward_subsumption_resolution,[status(thm)],[f16473,f14348])).
% 66.28/9.01 fof(f16554,plain,(
% 66.28/9.01 ![X0,X1,X2]: (c_lessequals(c_Set_Oimage(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X1),X2,tc_fun(X1,tc_bool)))),
% 66.28/9.01 inference(resolution,[status(thm)],[f16488,f867])).
% 66.28/9.01 fof(f17482,plain,(
% 66.28/9.01 ![X0,X1]: (c_Set_Oimage(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X1)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
% 66.28/9.01 inference(resolution,[status(thm)],[f16554,f597])).
% 66.28/9.01 fof(f17506,plain,(
% 66.28/9.01 c_Arrow__Order__Mirabelle_OLin=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool))),
% 66.28/9.01 inference(resolution,[status(thm)],[f17482,f565])).
% 66.28/9.01 fof(f18077,plain,(
% 66.28/9.01 ![X0,X1]: (~c_in(X0,c_Arrow__Order__Mirabelle_OLin,X1))),
% 66.28/9.01 inference(paramodulation,[status(thm)],[f17506,f2751])).
% 66.28/9.01 fof(f20875,plain,(
% 66.28/9.01 $false),
% 66.28/9.01 inference(forward_subsumption_resolution,[status(thm)],[f1193,f18077])).
% 66.28/9.01 % SZS output end CNFRefutation for theBenchmark.p
% 14.64/9.08 % Elapsed time: 8.708920 seconds
% 14.64/9.08 % CPU time: 68.150080 seconds
% 14.64/9.08 % Total memory used: 706.440 MB
% 14.64/9.08 % Net memory used: 663.930 MB
%------------------------------------------------------------------------------