TSTP Solution File: SWW474+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW474+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 : Tue Apr 30 20:50:23 EDT 2024
% Result : Theorem 0.13s 0.54s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SWW474+1 : TPTP v8.1.2. Released v5.3.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n024.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Apr 29 23:12:51 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.13/0.32 % Drodi V3.6.0
% 0.13/0.54 % Refutation found
% 0.13/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.54 fof(f54,axiom,(
% 0.13/0.54 (! [G] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),bot_bo620288102e_bool)) )),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f58,axiom,(
% 0.13/0.54 (! [G,G_1,Ts] :( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),Ts))=> ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),G_1))=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),Ts)) ) ) )),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f157,axiom,(
% 0.13/0.54 (! [C_1] :( hBOOL(hoare_165779456gleton)=> ( hBOOL(wT_bodies)=> ( hBOOL(wt(C_1))=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,C_1),bot_bo620288102e_bool))) ) ) ) )),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f342,axiom,(
% 0.13/0.54 (! [Pn,B_2] :( hBOOL(wT_bodies)=> ( hAPP_p799580910on_com(body,Pn) = some_com(B_2)=> hBOOL(wt(B_2)) ) ) )),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f421,hypothesis,(
% 0.13/0.54 hBOOL(hoare_165779456gleton) ),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f422,hypothesis,(
% 0.13/0.54 hBOOL(wT_bodies) ),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f426,hypothesis,(
% 0.13/0.54 hAPP_p799580910on_com(body,pn) = some_com(y) ),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f428,conjecture,(
% 0.13/0.54 hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))) ),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f429,negated_conjecture,(
% 0.13/0.54 ~(hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))) )),
% 0.13/0.54 inference(negated_conjecture,[status(cth)],[f428])).
% 0.13/0.54 fof(f523,plain,(
% 0.13/0.54 ![X0]: (hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),bot_bo620288102e_bool)))),
% 0.13/0.54 inference(cnf_transformation,[status(esa)],[f54])).
% 0.13/0.54 fof(f532,plain,(
% 0.13/0.54 ![G,G_1,Ts]: (~hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),Ts))|(~hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),G_1))|hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),Ts))))),
% 0.13/0.54 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 0.13/0.54 fof(f533,plain,(
% 0.13/0.54 ![G_1,Ts]: (~hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),Ts))|(![G]: (~hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),G_1))|hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),Ts)))))),
% 0.13/0.54 inference(miniscoping,[status(esa)],[f532])).
% 0.13/0.54 fof(f534,plain,(
% 0.13/0.54 ![X0,X1,X2]: (~hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X1))|~hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),X0))|hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),X1)))),
% 0.13/0.54 inference(cnf_transformation,[status(esa)],[f533])).
% 0.13/0.54 fof(f811,plain,(
% 0.13/0.54 ![C_1]: (~hBOOL(hoare_165779456gleton)|(~hBOOL(wT_bodies)|(~hBOOL(wt(C_1))|hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,C_1),bot_bo620288102e_bool))))))),
% 0.13/0.54 inference(pre_NNF_transformation,[status(esa)],[f157])).
% 0.13/0.54 fof(f812,plain,(
% 0.13/0.54 ~hBOOL(hoare_165779456gleton)|(~hBOOL(wT_bodies)|(![C_1]: (~hBOOL(wt(C_1))|hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,C_1),bot_bo620288102e_bool))))))),
% 0.13/0.54 inference(miniscoping,[status(esa)],[f811])).
% 0.13/0.54 fof(f813,plain,(
% 0.13/0.54 ![X0]: (~hBOOL(hoare_165779456gleton)|~hBOOL(wT_bodies)|~hBOOL(wt(X0))|hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool))))),
% 0.13/0.54 inference(cnf_transformation,[status(esa)],[f812])).
% 0.13/0.55 fof(f1376,plain,(
% 0.13/0.55 ![Pn,B_2]: (~hBOOL(wT_bodies)|(~hAPP_p799580910on_com(body,Pn)=some_com(B_2)|hBOOL(wt(B_2))))),
% 0.13/0.55 inference(pre_NNF_transformation,[status(esa)],[f342])).
% 0.13/0.55 fof(f1377,plain,(
% 0.13/0.55 ~hBOOL(wT_bodies)|(![B_2]: ((![Pn]: ~hAPP_p799580910on_com(body,Pn)=some_com(B_2))|hBOOL(wt(B_2))))),
% 0.13/0.55 inference(miniscoping,[status(esa)],[f1376])).
% 0.13/0.55 fof(f1378,plain,(
% 0.13/0.55 ![X0,X1]: (~hBOOL(wT_bodies)|~hAPP_p799580910on_com(body,X0)=some_com(X1)|hBOOL(wt(X1)))),
% 0.13/0.55 inference(cnf_transformation,[status(esa)],[f1377])).
% 0.13/0.55 fof(f1544,plain,(
% 0.13/0.55 hBOOL(hoare_165779456gleton)),
% 0.13/0.55 inference(cnf_transformation,[status(esa)],[f421])).
% 0.13/0.55 fof(f1545,plain,(
% 0.13/0.55 hBOOL(wT_bodies)),
% 0.13/0.55 inference(cnf_transformation,[status(esa)],[f422])).
% 0.13/0.55 fof(f1549,plain,(
% 0.13/0.55 hAPP_p799580910on_com(body,pn)=some_com(y)),
% 0.13/0.55 inference(cnf_transformation,[status(esa)],[f426])).
% 0.13/0.55 fof(f1551,plain,(
% 0.13/0.55 ~hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool)))),
% 0.13/0.55 inference(cnf_transformation,[status(esa)],[f429])).
% 0.13/0.55 fof(f1552,plain,(
% 0.13/0.55 spl0_0 <=> hBOOL(hoare_165779456gleton)),
% 0.13/0.55 introduced(split_symbol_definition)).
% 0.13/0.55 fof(f1554,plain,(
% 0.13/0.55 ~hBOOL(hoare_165779456gleton)|spl0_0),
% 0.13/0.55 inference(component_clause,[status(thm)],[f1552])).
% 0.13/0.55 fof(f1555,plain,(
% 0.13/0.55 spl0_1 <=> hBOOL(wT_bodies)),
% 0.13/0.55 introduced(split_symbol_definition)).
% 0.13/0.55 fof(f1557,plain,(
% 0.13/0.55 ~hBOOL(wT_bodies)|spl0_1),
% 0.13/0.55 inference(component_clause,[status(thm)],[f1555])).
% 0.13/0.55 fof(f1558,plain,(
% 0.13/0.55 spl0_2 <=> ~hBOOL(wt(X0))|hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool)))),
% 0.13/0.55 introduced(split_symbol_definition)).
% 0.13/0.55 fof(f1559,plain,(
% 0.13/0.55 ![X0]: (~hBOOL(wt(X0))|hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool)))|~spl0_2)),
% 0.13/0.55 inference(component_clause,[status(thm)],[f1558])).
% 0.13/0.55 fof(f1561,plain,(
% 0.13/0.55 ~spl0_0|~spl0_1|spl0_2),
% 0.13/0.55 inference(split_clause,[status(thm)],[f813,f1552,f1555,f1558])).
% 0.13/0.55 fof(f1574,plain,(
% 0.13/0.55 spl0_6 <=> ~hAPP_p799580910on_com(body,X0)=some_com(X1)|hBOOL(wt(X1))),
% 0.13/0.55 introduced(split_symbol_definition)).
% 0.13/0.55 fof(f1575,plain,(
% 0.13/0.55 ![X0,X1]: (~hAPP_p799580910on_com(body,X0)=some_com(X1)|hBOOL(wt(X1))|~spl0_6)),
% 0.13/0.55 inference(component_clause,[status(thm)],[f1574])).
% 0.13/0.55 fof(f1577,plain,(
% 0.13/0.55 ~spl0_1|spl0_6),
% 0.13/0.55 inference(split_clause,[status(thm)],[f1378,f1555,f1574])).
% 0.13/0.55 fof(f1675,plain,(
% 0.13/0.55 $false|spl0_1),
% 0.13/0.55 inference(forward_subsumption_resolution,[status(thm)],[f1557,f1545])).
% 0.13/0.55 fof(f1676,plain,(
% 0.13/0.55 spl0_1),
% 0.13/0.55 inference(contradiction_clause,[status(thm)],[f1675])).
% 0.13/0.55 fof(f1677,plain,(
% 0.13/0.55 $false|spl0_0),
% 0.13/0.55 inference(forward_subsumption_resolution,[status(thm)],[f1554,f1544])).
% 0.13/0.55 fof(f1678,plain,(
% 0.13/0.55 spl0_0),
% 0.13/0.55 inference(contradiction_clause,[status(thm)],[f1677])).
% 0.13/0.55 fof(f1751,plain,(
% 0.13/0.55 ![X0,X1]: (~hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),X0))|hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X0)))),
% 0.13/0.55 inference(resolution,[status(thm)],[f534,f523])).
% 0.13/0.55 fof(f1810,plain,(
% 0.13/0.55 ![X0,X1]: (~hBOOL(wt(X0))|hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool)))|~spl0_2)),
% 0.13/0.55 inference(resolution,[status(thm)],[f1559,f1751])).
% 0.13/0.55 fof(f1820,plain,(
% 0.13/0.55 ![X0,X1,X2]: (hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1),bot_bo620288102e_bool)))|~hAPP_p799580910on_com(body,X2)=some_com(X1)|~spl0_2|~spl0_6)),
% 0.13/0.55 inference(resolution,[status(thm)],[f1810,f1575])).
% 0.13/0.55 fof(f1824,plain,(
% 0.13/0.55 ![X0]: (~hAPP_p799580910on_com(body,X0)=some_com(y)|~spl0_2|~spl0_6)),
% 0.13/0.55 inference(resolution,[status(thm)],[f1820,f1551])).
% 0.13/0.55 fof(f1831,plain,(
% 0.13/0.55 $false|~spl0_2|~spl0_6),
% 0.13/0.55 inference(backward_subsumption_resolution,[status(thm)],[f1549,f1824])).
% 0.13/0.55 fof(f1832,plain,(
% 0.13/0.55 ~spl0_2|~spl0_6),
% 0.13/0.55 inference(contradiction_clause,[status(thm)],[f1831])).
% 0.13/0.55 fof(f1833,plain,(
% 0.13/0.55 $false),
% 0.13/0.55 inference(sat_refutation,[status(thm)],[f1561,f1577,f1676,f1678,f1832])).
% 0.13/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.56 % Elapsed time: 0.261463 seconds
% 0.13/0.56 % CPU time: 1.840485 seconds
% 0.13/0.56 % Total memory used: 110.603 MB
% 0.13/0.56 % Net memory used: 110.058 MB
%------------------------------------------------------------------------------