%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SCT058-1 : 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 02:07:15 PM UTC 2026
% Result : Unsatisfiable 0.19s 10.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SCT058-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/10.42 % Computer : n004.cluster.edu
% 0.15/10.42 % Model : x86_64 x86_64
% 0.15/10.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/10.42 % Memory : 8046.5625MB
% 0.15/10.42 % OS : Linux 6.8.0-71-generic
% 0.15/10.42 % CPULimit : 300
% 0.15/10.42 % WCLimit : 300
% 0.15/10.42 % DateTime : Mon Sep 21 04:29:00 UTC 2026
% 0.15/10.43 % CPUTime :
% 0.15/10.48 % Drodi V4.1.1
% 0.19/10.53 % Refutation found
% 0.19/10.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/10.53 % SZS output start CNFRefutation for theBenchmark
% 0.19/10.53 fof(f597,axiom,(
% 0.19/10.53 (![V_a,V_b,T_a,T_b,V_r]: (( hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_b),hAPP(c_Relation_Oconverse(T_b,T_a),V_r),tc_prod(T_a,T_b)))| ~ hBOOL(c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a))) ) ))),
% 0.19/10.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/10.53 fof(f599,axiom,(
% 0.19/10.53 (![V_b,V_a,T_b,T_a,V_r]: (( hBOOL(c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)))| ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_b),hAPP(c_Relation_Oconverse(T_b,T_a),V_r),tc_prod(T_a,T_b))) ) ))),
% 0.19/10.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/10.53 fof(f602,axiom,(
% 0.19/10.53 (![V_i]: (( hBOOL(c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,V_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| ~ hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,V_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ) ))),
% 0.19/10.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/10.53 fof(f603,axiom,(
% 0.19/10.53 (![V_i]: (( hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,V_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| ~ hBOOL(c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,V_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ) ))),
% 0.19/10.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/10.53 fof(f606,axiom,(
% 0.19/10.53 (![V_a,V_b,V_v,T_c,T_b,T_a]: (hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) ))),
% 0.19/10.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/10.53 fof(f608,axiom,(
% 0.19/10.53 (![V_x,V_S,T_a]: (( hBOOL(c_in(V_x,V_S,T_a))| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 0.19/10.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/10.53 fof(f609,axiom,(
% 0.19/10.53 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ hBOOL(c_in(V_x,V_S,T_a)) ) ))),
% 0.19/10.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/10.53 fof(f618,negated_conjecture,(
% 0.19/10.53 ( hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ) ),
% 0.19/10.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/10.53 fof(f619,negated_conjecture,(
% 0.19/10.53 ( ~ hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| ~ hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ) ),
% 0.19/10.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/10.53 fof(f1533,plain,(
% 0.19/10.53 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(c_Pair(X0,X1,X2,X3),hAPP(c_Relation_Oconverse(X3,X2),X4),tc_prod(X2,X3)))|~hBOOL(c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2))))),
% 0.19/10.53 inference(cnf_transformation,[status(thm)],[f597])).
% 0.19/10.53 fof(f1535,plain,(
% 0.19/10.53 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3)))|~hBOOL(c_in(c_Pair(X1,X0,X3,X2),hAPP(c_Relation_Oconverse(X2,X3),X4),tc_prod(X3,X2))))),
% 0.19/10.53 inference(cnf_transformation,[status(thm)],[f599])).
% 0.19/10.53 fof(f1538,plain,(
% 0.19/10.53 ![X0]: (hBOOL(c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.19/10.53 inference(cnf_transformation,[status(thm)],[f602])).
% 0.19/10.53 fof(f1539,plain,(
% 0.19/10.53 ![X0]: (hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~hBOOL(c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.19/10.53 inference(cnf_transformation,[status(thm)],[f603])).
% 0.19/10.53 fof(f1542,plain,(
% 0.19/10.53 ![X0,X1,X2,X3,X4,X5]: (hAPP(X0,hAPP(X1,X2))=hAPP(c_Fun_Ocomp(X0,X1,X3,X4,X5),X2))),
% 0.19/10.53 inference(cnf_transformation,[status(thm)],[f606])).
% 0.19/10.53 fof(f1544,plain,(
% 0.19/10.53 ![V_x,V_S]: ((![T_a]: hBOOL(c_in(V_x,V_S,T_a)))|~hBOOL(hAPP(V_S,V_x)))),
% 0.19/10.53 inference(miniscoping,[status(thm)],[f608])).
% 0.19/10.53 fof(f1545,plain,(
% 0.19/10.53 ![X0,X1,X2]: (hBOOL(c_in(X0,X1,X2))|~hBOOL(hAPP(X1,X0)))),
% 0.19/10.53 inference(cnf_transformation,[status(thm)],[f1544])).
% 0.19/10.53 fof(f1546,plain,(
% 0.19/10.53 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~hBOOL(c_in(V_x,V_S,T_a))))),
% 0.19/10.53 inference(miniscoping,[status(thm)],[f609])).
% 0.19/10.53 fof(f1547,plain,(
% 0.19/10.53 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~hBOOL(c_in(X1,X0,X2)))),
% 0.19/10.53 inference(cnf_transformation,[status(thm)],[f1546])).
% 0.19/10.53 fof(f1556,plain,(
% 0.19/10.53 hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.19/10.53 inference(cnf_transformation,[status(thm)],[f618])).
% 0.19/10.53 fof(f1557,plain,(
% 0.19/10.53 ~hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.19/10.53 inference(cnf_transformation,[status(thm)],[f619])).
% 0.19/10.53 fof(f1591,definition,(
% 0.19/10.53 sQ0_spl <=> (hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.19/10.53 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.19/10.53 fof(f1592,plain,(
% 0.19/10.53 hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~sQ0_spl),
% 0.19/10.53 inference(component_clause,[status(thm)],[f1591])).
% 0.19/10.53 fof(f1594,definition,(
% 0.19/10.53 sQ1_spl <=> (hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.19/10.53 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.19/10.53 fof(f1595,plain,(
% 0.19/10.53 hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~sQ1_spl),
% 0.19/10.53 inference(component_clause,[status(thm)],[f1594])).
% 0.19/10.53 fof(f1596,plain,(
% 0.19/10.53 ~hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|sQ1_spl),
% 0.19/10.53 inference(component_clause,[status(thm)],[f1594])).
% 0.19/10.53 fof(f1597,plain,(
% 0.19/10.53 sQ0_spl|sQ1_spl),
% 0.19/10.53 inference(split_clause,[status(thm)],[f1556,f1591,f1594])).
% 0.19/10.53 fof(f1598,plain,(
% 0.19/10.53 ~sQ0_spl|~sQ1_spl),
% 0.19/10.53 inference(split_clause,[status(thm)],[f1557,f1591,f1594])).
% 0.19/10.53 fof(f1607,plain,(
% 0.19/10.53 hBOOL(hAPP(hAPP(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_x),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~sQ1_spl),
% 0.19/10.53 inference(resolution,[status(thm)],[f1547,f1595])).
% 0.19/10.53 fof(f1609,plain,(
% 0.19/10.53 ![X0]: (hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_x),X0))|~sQ1_spl)),
% 0.19/10.53 inference(resolution,[status(thm)],[f1607,f1545])).
% 0.19/10.53 fof(f1628,plain,(
% 0.19/10.53 hBOOL(hAPP(hAPP(v_P_H____,v_x),c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~sQ0_spl),
% 0.19/10.53 inference(resolution,[status(thm)],[f1592,f1547])).
% 0.19/10.53 fof(f1637,plain,(
% 0.19/10.53 ~hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_x)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|sQ1_spl),
% 0.19/10.53 inference(backward_demodulation,[status(thm)],[f1542,f1596])).
% 0.19/10.53 fof(f1647,plain,(
% 0.19/10.53 ![X0]: (hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_x),X0))|~sQ0_spl)),
% 0.19/10.53 inference(resolution,[status(thm)],[f1628,f1545])).
% 0.19/10.53 fof(f1788,plain,(
% 0.19/10.53 hBOOL(c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~sQ0_spl),
% 0.19/10.53 inference(resolution,[status(thm)],[f1538,f1647])).
% 0.19/10.53 fof(f1802,plain,(
% 0.19/10.53 hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_x)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~sQ0_spl),
% 0.19/10.53 inference(resolution,[status(thm)],[f1788,f1533])).
% 0.19/10.53 fof(f1806,plain,(
% 0.19/10.53 $false|sQ1_spl|~sQ0_spl),
% 0.19/10.53 inference(forward_subsumption_resolution,[status(thm)],[f1802,f1637])).
% 0.19/10.53 fof(f1807,plain,(
% 0.19/10.53 sQ1_spl|~sQ0_spl),
% 0.19/10.53 inference(contradiction_clause,[status(thm)],[f1806])).
% 0.19/10.53 fof(f1809,plain,(
% 0.19/10.53 ![X0]: (hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_x)),X0))|~sQ1_spl)),
% 0.19/10.53 inference(forward_demodulation,[status(thm)],[f1542,f1609])).
% 0.19/10.53 fof(f1860,plain,(
% 0.19/10.53 hBOOL(c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~sQ1_spl),
% 0.19/10.53 inference(resolution,[status(thm)],[f1809,f1535])).
% 0.19/10.53 fof(f1866,plain,(
% 0.19/10.53 hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~sQ1_spl),
% 0.19/10.53 inference(resolution,[status(thm)],[f1860,f1539])).
% 0.19/10.53 fof(f1871,plain,(
% 0.19/10.53 sQ0_spl|~sQ1_spl),
% 0.19/10.53 inference(split_clause,[status(thm)],[f1866,f1591,f1594])).
% 0.19/10.53 fof(f1872,plain,(
% 0.19/10.53 $false),
% 0.19/10.53 inference(sat_refutation,[status(thm)],[f1597,f1598,f1807,f1871])).
% 0.19/10.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/10.56 % Elapsed time: 0.122686 seconds
% 0.19/10.56 % CPU time: 0.438232 seconds
% 0.19/10.56 % Total memory used: 139.602 MB
% 0.19/10.56 % Net memory used: 139.271 MB
%------------------------------------------------------------------------------