TSTP Solution File: SWW474+2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW474+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:45:05 EDT 2023
% Result : Theorem 3.36s 0.89s
% Output : CNFRefutation 3.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW474+2 : TPTP v8.1.2. Released v5.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:10:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.42 % Drodi V3.5.1
% 3.36/0.89 % Refutation found
% 3.36/0.89 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.36/0.89 % SZS output start CNFRefutation for theBenchmark
% 3.36/0.89 fof(f55,axiom,(
% 3.36/0.89 (! [G_1] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),bot_bo1055319631e_bool)) )),
% 3.36/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.36/0.89 fof(f59,axiom,(
% 3.36/0.89 (! [G_1,G_2,Ts] :( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_2),Ts))=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),G_2))=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),Ts)) ) ) )),
% 3.36/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.36/0.89 fof(f108,axiom,(
% 3.36/0.89 (! [C] :( hBOOL(hoare_298929751gleton)=> ( hBOOL(wT_bodies)=> ( hBOOL(hAPP_com_bool(wt,C))=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,C)),bot_bo1055319631e_bool))) ) ) ) )),
% 3.36/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.36/0.89 fof(f205,axiom,(
% 3.36/0.89 (! [A,A_1] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),A_1) != bot_bo1055319631e_bool )),
% 3.36/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.36/0.89 fof(f270,axiom,(
% 3.36/0.89 (! [Pn,B_4] :( hBOOL(wT_bodies)=> ( hAPP_p799580910on_com(body,Pn) = some_com(B_4)=> hBOOL(hAPP_com_bool(wt,B_4)) ) ) )),
% 3.36/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.36/0.89 fof(f467,axiom,(
% 3.36/0.89 ( hBOOL(hoare_298929751gleton)<=> (? [S_3,T_2] : S_3 != T_2 )) ),
% 3.36/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.36/0.89 fof(f862,hypothesis,(
% 3.36/0.89 hBOOL(wT_bodies) ),
% 3.36/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.36/0.89 fof(f866,hypothesis,(
% 3.36/0.89 hAPP_p799580910on_com(body,pn) = some_com(y) ),
% 3.36/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.36/0.89 fof(f868,conjecture,(
% 3.36/0.89 hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))) ),
% 3.36/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.36/0.89 fof(f869,negated_conjecture,(
% 3.36/0.89 ~(hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))) )),
% 3.36/0.89 inference(negated_conjecture,[status(cth)],[f868])).
% 3.36/0.89 fof(f950,plain,(
% 3.36/0.89 ![X0]: (hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),bot_bo1055319631e_bool)))),
% 3.36/0.89 inference(cnf_transformation,[status(esa)],[f55])).
% 3.36/0.89 fof(f959,plain,(
% 3.36/0.89 ![G_1,G_2,Ts]: (~hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_2),Ts))|(~hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),G_2))|hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),Ts))))),
% 3.36/0.89 inference(pre_NNF_transformation,[status(esa)],[f59])).
% 3.36/0.89 fof(f960,plain,(
% 3.36/0.89 ![G_2,Ts]: (~hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_2),Ts))|(![G_1]: (~hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),G_2))|hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),Ts)))))),
% 3.36/0.89 inference(miniscoping,[status(esa)],[f959])).
% 3.36/0.89 fof(f961,plain,(
% 3.36/0.89 ![X0,X1,X2]: (~hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X1))|~hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),X0))|hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),X1)))),
% 3.36/0.89 inference(cnf_transformation,[status(esa)],[f960])).
% 3.36/0.89 fof(f1090,plain,(
% 3.36/0.89 ![C]: (~hBOOL(hoare_298929751gleton)|(~hBOOL(wT_bodies)|(~hBOOL(hAPP_com_bool(wt,C))|hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,C)),bot_bo1055319631e_bool))))))),
% 3.36/0.89 inference(pre_NNF_transformation,[status(esa)],[f108])).
% 3.36/0.89 fof(f1091,plain,(
% 3.36/0.89 ~hBOOL(hoare_298929751gleton)|(~hBOOL(wT_bodies)|(![C]: (~hBOOL(hAPP_com_bool(wt,C))|hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,C)),bot_bo1055319631e_bool))))))),
% 3.65/0.89 inference(miniscoping,[status(esa)],[f1090])).
% 3.65/0.89 fof(f1092,plain,(
% 3.65/0.89 ![X0]: (~hBOOL(hoare_298929751gleton)|~hBOOL(wT_bodies)|~hBOOL(hAPP_com_bool(wt,X0))|hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool))))),
% 3.65/0.89 inference(cnf_transformation,[status(esa)],[f1091])).
% 3.65/0.89 fof(f1387,plain,(
% 3.65/0.89 ![X0,X1]: (~hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X0),X1)=bot_bo1055319631e_bool)),
% 3.65/0.89 inference(cnf_transformation,[status(esa)],[f205])).
% 3.65/0.89 fof(f1579,plain,(
% 3.65/0.89 ![Pn,B_4]: (~hBOOL(wT_bodies)|(~hAPP_p799580910on_com(body,Pn)=some_com(B_4)|hBOOL(hAPP_com_bool(wt,B_4))))),
% 3.65/0.89 inference(pre_NNF_transformation,[status(esa)],[f270])).
% 3.65/0.89 fof(f1580,plain,(
% 3.65/0.89 ~hBOOL(wT_bodies)|(![B_4]: ((![Pn]: ~hAPP_p799580910on_com(body,Pn)=some_com(B_4))|hBOOL(hAPP_com_bool(wt,B_4))))),
% 3.65/0.89 inference(miniscoping,[status(esa)],[f1579])).
% 3.65/0.89 fof(f1581,plain,(
% 3.65/0.89 ![X0,X1]: (~hBOOL(wT_bodies)|~hAPP_p799580910on_com(body,X0)=some_com(X1)|hBOOL(hAPP_com_bool(wt,X1)))),
% 3.65/0.89 inference(cnf_transformation,[status(esa)],[f1580])).
% 3.65/0.89 fof(f2303,plain,(
% 3.65/0.89 (~hBOOL(hoare_298929751gleton)|(?[S_3,T_2]: ~S_3=T_2))&(hBOOL(hoare_298929751gleton)|(![S_3,T_2]: S_3=T_2))),
% 3.65/0.89 inference(NNF_transformation,[status(esa)],[f467])).
% 3.65/0.89 fof(f2304,plain,(
% 3.65/0.89 (~hBOOL(hoare_298929751gleton)|~sk0_95=sk0_96)&(hBOOL(hoare_298929751gleton)|(![S_3,T_2]: S_3=T_2))),
% 3.65/0.89 inference(skolemization,[status(esa)],[f2303])).
% 3.65/0.89 fof(f2306,plain,(
% 3.65/0.89 ![X0,X1]: (hBOOL(hoare_298929751gleton)|X0=X1)),
% 3.65/0.89 inference(cnf_transformation,[status(esa)],[f2304])).
% 3.65/0.89 fof(f3255,plain,(
% 3.65/0.89 hBOOL(wT_bodies)),
% 3.65/0.89 inference(cnf_transformation,[status(esa)],[f862])).
% 3.65/0.89 fof(f3259,plain,(
% 3.65/0.89 hAPP_p799580910on_com(body,pn)=some_com(y)),
% 3.65/0.89 inference(cnf_transformation,[status(esa)],[f866])).
% 3.65/0.89 fof(f3261,plain,(
% 3.65/0.89 ~hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool)))),
% 3.65/0.89 inference(cnf_transformation,[status(esa)],[f869])).
% 3.65/0.89 fof(f3280,plain,(
% 3.65/0.89 spl0_0 <=> hBOOL(hoare_298929751gleton)),
% 3.65/0.89 introduced(split_symbol_definition)).
% 3.65/0.89 fof(f3283,plain,(
% 3.65/0.89 spl0_1 <=> hBOOL(wT_bodies)),
% 3.65/0.89 introduced(split_symbol_definition)).
% 3.65/0.89 fof(f3285,plain,(
% 3.65/0.89 ~hBOOL(wT_bodies)|spl0_1),
% 3.65/0.89 inference(component_clause,[status(thm)],[f3283])).
% 3.65/0.89 fof(f3286,plain,(
% 3.65/0.89 spl0_2 <=> ~hBOOL(hAPP_com_bool(wt,X0))|hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))),
% 3.65/0.89 introduced(split_symbol_definition)).
% 3.65/0.89 fof(f3287,plain,(
% 3.65/0.89 ![X0]: (~hBOOL(hAPP_com_bool(wt,X0))|hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))|~spl0_2)),
% 3.65/0.89 inference(component_clause,[status(thm)],[f3286])).
% 3.65/0.89 fof(f3289,plain,(
% 3.65/0.89 ~spl0_0|~spl0_1|spl0_2),
% 3.65/0.89 inference(split_clause,[status(thm)],[f1092,f3280,f3283,f3286])).
% 3.65/0.89 fof(f3302,plain,(
% 3.65/0.89 spl0_6 <=> ~hAPP_p799580910on_com(body,X0)=some_com(X1)|hBOOL(hAPP_com_bool(wt,X1))),
% 3.65/0.89 introduced(split_symbol_definition)).
% 3.65/0.89 fof(f3303,plain,(
% 3.65/0.89 ![X0,X1]: (~hAPP_p799580910on_com(body,X0)=some_com(X1)|hBOOL(hAPP_com_bool(wt,X1))|~spl0_6)),
% 3.65/0.89 inference(component_clause,[status(thm)],[f3302])).
% 3.65/0.89 fof(f3305,plain,(
% 3.65/0.89 ~spl0_1|spl0_6),
% 3.65/0.89 inference(split_clause,[status(thm)],[f1581,f3283,f3302])).
% 3.65/0.89 fof(f3337,plain,(
% 3.65/0.89 spl0_14 <=> X0=X1),
% 3.65/0.89 introduced(split_symbol_definition)).
% 3.65/0.89 fof(f3338,plain,(
% 3.65/0.90 ![X0,X1]: (X0=X1|~spl0_14)),
% 3.65/0.90 inference(component_clause,[status(thm)],[f3337])).
% 3.65/0.90 fof(f3340,plain,(
% 3.65/0.90 spl0_0|spl0_14),
% 3.65/0.90 inference(split_clause,[status(thm)],[f2306,f3280,f3337])).
% 3.65/0.90 fof(f3479,plain,(
% 3.65/0.90 $false|~spl0_14),
% 3.65/0.90 inference(backward_subsumption_resolution,[status(thm)],[f1387,f3338])).
% 3.65/0.90 fof(f3480,plain,(
% 3.65/0.90 ~spl0_14),
% 3.65/0.90 inference(contradiction_clause,[status(thm)],[f3479])).
% 3.65/0.90 fof(f3481,plain,(
% 3.65/0.90 $false|spl0_1),
% 3.65/0.90 inference(forward_subsumption_resolution,[status(thm)],[f3285,f3255])).
% 3.65/0.90 fof(f3482,plain,(
% 3.65/0.90 spl0_1),
% 3.65/0.90 inference(contradiction_clause,[status(thm)],[f3481])).
% 3.65/0.90 fof(f3490,plain,(
% 3.65/0.90 spl0_23 <=> ~hAPP_p799580910on_com(body,X0)=some_com(y)),
% 3.65/0.90 introduced(split_symbol_definition)).
% 3.65/0.90 fof(f3491,plain,(
% 3.65/0.90 ![X0]: (~hAPP_p799580910on_com(body,X0)=some_com(y)|~spl0_23)),
% 3.65/0.90 inference(component_clause,[status(thm)],[f3490])).
% 3.65/0.90 fof(f3506,plain,(
% 3.65/0.90 ![X0]: (~hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool)))|~hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),X0)))),
% 3.65/0.90 inference(resolution,[status(thm)],[f961,f3261])).
% 3.65/0.90 fof(f3519,plain,(
% 3.65/0.90 ~hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool)))),
% 3.65/0.90 inference(resolution,[status(thm)],[f3506,f950])).
% 3.65/0.90 fof(f3522,plain,(
% 3.65/0.90 ~hBOOL(hAPP_com_bool(wt,y))|~spl0_2),
% 3.65/0.90 inference(resolution,[status(thm)],[f3519,f3287])).
% 3.65/0.90 fof(f3687,plain,(
% 3.65/0.90 ![X0]: (~hAPP_p799580910on_com(body,X0)=some_com(y)|~spl0_2|~spl0_6)),
% 3.65/0.90 inference(resolution,[status(thm)],[f3522,f3303])).
% 3.65/0.90 fof(f6414,plain,(
% 3.65/0.90 $false|~spl0_23),
% 3.65/0.90 inference(forward_subsumption_resolution,[status(thm)],[f3259,f3491])).
% 3.65/0.90 fof(f6415,plain,(
% 3.65/0.90 ~spl0_23),
% 3.65/0.90 inference(contradiction_clause,[status(thm)],[f6414])).
% 3.65/0.90 fof(f6416,plain,(
% 3.65/0.90 spl0_23|~spl0_2|~spl0_6),
% 3.65/0.90 inference(split_clause,[status(thm)],[f3687,f3490,f3286,f3302])).
% 3.65/0.90 fof(f6417,plain,(
% 3.65/0.90 $false),
% 3.65/0.90 inference(sat_refutation,[status(thm)],[f3289,f3305,f3340,f3480,f3482,f6415,f6416])).
% 3.65/0.90 % SZS output end CNFRefutation for theBenchmark.p
% 3.65/0.91 % Elapsed time: 0.561517 seconds
% 3.65/0.91 % CPU time: 3.790429 seconds
% 3.65/0.91 % Memory used: 173.908 MB
%------------------------------------------------------------------------------