TSTP Solution File: SWV858-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV858-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 : 300s
% DateTime : Wed May 31 12:44:07 EDT 2023
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV858-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 11:35:33 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.39 % Drodi V3.5.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f525,axiom,(
% 0.13/0.40 (![V_Q,V_x,V_P,T_a]: (( hBOOL(hAPP(V_Q,V_x))| ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))| ~ hBOOL(hAPP(V_P,V_x)) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f545,axiom,(
% 0.13/0.40 (![T_a,V_x,V_S]: (( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f546,axiom,(
% 0.13/0.40 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f550,negated_conjecture,(
% 0.13/0.40 c_lessequals(v_tsa,v_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f551,negated_conjecture,(
% 0.13/0.40 hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f552,negated_conjecture,(
% 0.13/0.40 ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f553,negated_conjecture,(
% 0.13/0.40 (![V_xb]: (( c_Hoare__Mirabelle_Otriple__valid(v_x,V_xb,t_a)| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_xb),v_Ga)) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f554,negated_conjecture,(
% 0.13/0.40 (![V_na,V_nb]: (( c_Hoare__Mirabelle_Otriple__valid(V_na,V_nb,t_a)| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_nb),v_ts_H))| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(V_na)),v_Ga)) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f555,negated_conjecture,(
% 0.13/0.40 (![V_na,V_nc]: (( c_Hoare__Mirabelle_Otriple__valid(V_na,V_nc,t_a)| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_nc),v_ts_H))| ~ c_Hoare__Mirabelle_Otriple__valid(V_na,v_n(V_na),t_a) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f1387,plain,(
% 0.13/0.40 ![V_x,V_P]: ((![V_Q]: (hBOOL(hAPP(V_Q,V_x))|(![T_a]: ~c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)))))|~hBOOL(hAPP(V_P,V_x)))),
% 0.13/0.40 inference(miniscoping,[status(esa)],[f525])).
% 0.13/0.40 fof(f1388,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (hBOOL(hAPP(X0,X1))|~c_lessequals(X2,X0,tc_fun(X3,tc_bool))|~hBOOL(hAPP(X2,X1)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f1387])).
% 0.13/0.40 fof(f1420,plain,(
% 0.13/0.40 ![V_x,V_S]: ((![T_a]: hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)))|~hBOOL(hAPP(V_S,V_x)))),
% 0.13/0.40 inference(miniscoping,[status(esa)],[f545])).
% 0.13/0.40 fof(f1421,plain,(
% 0.13/0.40 ![X0,X1,X2]: (hBOOL(hAPP(hAPP(c_in(X0),X1),X2))|~hBOOL(hAPP(X2,X1)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f1420])).
% 0.13/0.40 fof(f1422,plain,(
% 0.13/0.40 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))))),
% 0.13/0.40 inference(miniscoping,[status(esa)],[f546])).
% 0.13/0.40 fof(f1423,plain,(
% 0.13/0.40 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~hBOOL(hAPP(hAPP(c_in(X2),X1),X0)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f1422])).
% 0.13/0.40 fof(f1428,plain,(
% 0.13/0.40 c_lessequals(v_tsa,v_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f550])).
% 0.13/0.40 fof(f1429,plain,(
% 0.13/0.40 hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f551])).
% 0.13/0.40 fof(f1430,plain,(
% 0.13/0.40 ~c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f552])).
% 0.13/0.40 fof(f1431,plain,(
% 0.13/0.40 ![X0]: (c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_Ga)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f553])).
% 0.13/0.40 fof(f1432,plain,(
% 0.13/0.40 ![V_na]: ((![V_nb]: (c_Hoare__Mirabelle_Otriple__valid(V_na,V_nb,t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_nb),v_ts_H))))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(V_na)),v_Ga)))),
% 0.13/0.40 inference(miniscoping,[status(esa)],[f554])).
% 0.13/0.40 fof(f1433,plain,(
% 0.13/0.40 ![X0,X1]: (c_Hoare__Mirabelle_Otriple__valid(X0,X1,t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X0)),v_Ga)))),
% 0.38/0.63 inference(cnf_transformation,[status(esa)],[f1432])).
% 0.38/0.63 fof(f1434,plain,(
% 0.38/0.63 ![V_na]: ((![V_nc]: (c_Hoare__Mirabelle_Otriple__valid(V_na,V_nc,t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_nc),v_ts_H))))|~c_Hoare__Mirabelle_Otriple__valid(V_na,v_n(V_na),t_a))),
% 0.38/0.63 inference(miniscoping,[status(esa)],[f555])).
% 0.38/0.63 fof(f1435,plain,(
% 0.38/0.63 ![X0,X1]: (c_Hoare__Mirabelle_Otriple__valid(X0,X1,t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))|~c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a))),
% 0.38/0.63 inference(cnf_transformation,[status(esa)],[f1434])).
% 0.38/0.63 fof(f1488,plain,(
% 0.38/0.63 ![X0,X1]: (c_Hoare__Mirabelle_Otriple__valid(X0,X1,t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))|c_Hoare__Mirabelle_Otriple__valid(v_x,v_n(X0),t_a))),
% 0.38/0.63 inference(resolution,[status(thm)],[f1433,f1431])).
% 0.38/0.63 fof(f1563,plain,(
% 0.38/0.63 ![X0,X1]: (~hBOOL(hAPP(v_ts_H,X0))|c_Hoare__Mirabelle_Otriple__valid(X1,X0,t_a)|c_Hoare__Mirabelle_Otriple__valid(v_x,v_n(X1),t_a))),
% 0.38/0.63 inference(resolution,[status(thm)],[f1421,f1488])).
% 0.38/0.63 fof(f1564,plain,(
% 0.38/0.63 ![X0,X1]: (~hBOOL(hAPP(v_ts_H,X0))|c_Hoare__Mirabelle_Otriple__valid(X1,X0,t_a)|~c_Hoare__Mirabelle_Otriple__valid(X1,v_n(X1),t_a))),
% 0.38/0.63 inference(resolution,[status(thm)],[f1421,f1435])).
% 0.38/0.63 fof(f1567,plain,(
% 0.38/0.63 hBOOL(hAPP(v_tsa,v_xa))),
% 0.38/0.63 inference(resolution,[status(thm)],[f1423,f1429])).
% 0.38/0.63 fof(f1598,plain,(
% 0.38/0.63 ![X0]: (hBOOL(hAPP(v_ts_H,X0))|~hBOOL(hAPP(v_tsa,X0)))),
% 0.38/0.63 inference(resolution,[status(thm)],[f1388,f1428])).
% 0.38/0.63 fof(f1599,plain,(
% 0.38/0.63 hBOOL(hAPP(v_ts_H,v_xa))),
% 0.38/0.63 inference(resolution,[status(thm)],[f1598,f1567])).
% 0.38/0.63 fof(f1608,plain,(
% 0.38/0.63 spl0_3 <=> ~hBOOL(hAPP(v_ts_H,X0))|c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a)),
% 0.38/0.63 introduced(split_symbol_definition)).
% 0.38/0.63 fof(f1609,plain,(
% 0.38/0.63 ![X0]: (~hBOOL(hAPP(v_ts_H,X0))|c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a)|~spl0_3)),
% 0.38/0.63 inference(component_clause,[status(thm)],[f1608])).
% 0.38/0.63 fof(f1611,plain,(
% 0.38/0.63 ![X0,X1]: (~hBOOL(hAPP(v_ts_H,X0))|c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a)|~hBOOL(hAPP(v_ts_H,X1))|c_Hoare__Mirabelle_Otriple__valid(v_x,X1,t_a))),
% 0.38/0.63 inference(resolution,[status(thm)],[f1563,f1564])).
% 0.38/0.63 fof(f1612,plain,(
% 0.38/0.63 spl0_3),
% 0.38/0.63 inference(split_clause,[status(thm)],[f1611,f1608])).
% 0.38/0.63 fof(f1613,plain,(
% 0.38/0.63 c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a)|~spl0_3),
% 0.38/0.63 inference(resolution,[status(thm)],[f1609,f1599])).
% 0.38/0.63 fof(f1614,plain,(
% 0.38/0.63 $false|~spl0_3),
% 0.38/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1613,f1430])).
% 0.38/0.63 fof(f1615,plain,(
% 0.38/0.63 ~spl0_3),
% 0.38/0.63 inference(contradiction_clause,[status(thm)],[f1614])).
% 0.38/0.63 fof(f1616,plain,(
% 0.38/0.63 $false),
% 0.38/0.63 inference(sat_refutation,[status(thm)],[f1612,f1615])).
% 0.38/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 0.38/0.63 % Elapsed time: 0.067879 seconds
% 0.38/0.63 % CPU time: 0.123591 seconds
% 0.38/0.63 % Memory used: 22.144 MB
%------------------------------------------------------------------------------