TSTP Solution File: ITP023_2 by SPASS+T---2.2.22
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS+T---2.2.22
% Problem : ITP023_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : spasst-tptp-script %s %d
% Computer : n023.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 : 600s
% DateTime : Sun Jul 17 00:40:05 EDT 2022
% Result : Theorem 214.23s 111.71s
% Output : Refutation 214.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP023_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.06/0.13 % Command : spasst-tptp-script %s %d
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 3 17:52:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % Using EUF theory
% 214.23/111.71
% 214.23/111.71
% 214.23/111.71 % SZS status Theorem for /tmp/SPASST_24688_n023.cluster.edu
% 214.23/111.71
% 214.23/111.71 SPASS V 2.2.22 in combination with yices.
% 214.23/111.71 SPASS beiseite: Proof found by SPASS.
% 214.23/111.71 Problem: /tmp/SPASST_24688_n023.cluster.edu
% 214.23/111.71 SPASS derived 138607 clauses, backtracked 37255 clauses and kept 49155 clauses.
% 214.23/111.71 SPASS backtracked 42 times (0 times due to theory inconsistency).
% 214.23/111.71 SPASS allocated 224375 KBytes.
% 214.23/111.71 SPASS spent 0:01:50.07 on the problem.
% 214.23/111.71 0:00:00.00 for the input.
% 214.23/111.71 0:00:00.05 for the FLOTTER CNF translation.
% 214.23/111.71 0:00:00.95 for inferences.
% 214.23/111.71 0:00:10.44 for the backtracking.
% 214.23/111.71 0:01:33.56 for the reduction.
% 214.23/111.71 0:00:02.93 for interacting with the SMT procedure.
% 214.23/111.71
% 214.23/111.71
% 214.23/111.71 % SZS output start CNFRefutation for /tmp/SPASST_24688_n023.cluster.edu
% 214.23/111.71
% 214.23/111.71 % Here is a proof with depth 13, length 600 :
% 214.23/111.71 22[0:Inp] || -> p(c_2Ebool_2ET)*.
% 214.23/111.71 23[0:Inp] || -> tp__o(fo__c_2Ebool_2EF)*.
% 214.23/111.71 26[0:Inp] || -> del(ty_2Erealax_2Ereal)*.
% 214.23/111.71 27[0:Inp] || -> tp__o(fo__c_2Ebool_2ET)*.
% 214.23/111.71 30[0:Inp] || -> del(bool)*.
% 214.23/111.71 32[0:Inp] || -> tp__ty_2Erealax_2Ereal(skc7)*.
% 214.23/111.71 33[0:Inp] || -> tp__ty_2Erealax_2Ereal(skc6)*.
% 214.23/111.71 34[0:Inp] || p(c_2Ebool_2EF)* -> .
% 214.23/111.71 35[0:Inp] || -> mem(c_2Ebool_2EF,bool)*.
% 214.23/111.71 36[0:Inp] || -> mem(c_2Ebool_2ET,bool)*.
% 214.23/111.71 39[0:Inp] || -> tp__o(surj__o(U))*.
% 214.23/111.71 40[0:Inp] || -> equal(inj__o(fo__c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.71 41[0:Inp] || -> equal(inj__o(fo__c_2Ebool_2ET),c_2Ebool_2ET)**.
% 214.23/111.71 42[0:Inp] || -> mem(c_2Ebool_2E_7E,arr(bool,bool))*.
% 214.23/111.71 46[0:Inp] || tp__o(U) -> tp__o(fo__c_2Ebool_2E_7E(U))*.
% 214.23/111.71 54[0:Inp] || -> mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool)))*.
% 214.23/111.71 55[0:Inp] || -> mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool)))*.
% 214.23/111.71 56[0:Inp] || -> mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool)))*.
% 214.23/111.71 57[0:Inp] || -> mem(c_2Ereal__topology_2Ebounded__def,arr(arr(ty_2Erealax_2Ereal,bool),bool))*.
% 214.23/111.71 58[0:Inp] || tp__ty_2Erealax_2Ereal(U) -> mem(inj__ty_2Erealax_2Ereal(U),ty_2Erealax_2Ereal)*.
% 214.23/111.71 59[0:Inp] || tp__o(U) -> mem(inj__o(U),bool)*.
% 214.23/111.71 67[0:Inp] || tp__o(U) -> equal(surj__o(inj__o(U)),U)**.
% 214.23/111.71 69[0:Inp] || -> mem(c_2Ereal__topology_2Ecball,arr(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(ty_2Erealax_2Ereal,bool)))*.
% 214.23/111.71 70[0:Inp] || -> mem(c_2Ereal__topology_2Eball,arr(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(ty_2Erealax_2Ereal,bool)))*.
% 214.23/111.71 73[0:Inp] || mem(U,bool) -> equal(inj__o(surj__o(U)),U)**.
% 214.23/111.71 80[0:Inp] || mem(U,bool) -> p(U) p(ap(c_2Ebool_2E_7E,U))*.
% 214.23/111.71 81[0:Inp] || tp__o(U) tp__o(V) -> tp__o(fo__c_2Ebool_2E_2F_5C(U,V))*.
% 214.23/111.71 82[0:Inp] || tp__o(U) tp__o(V) -> tp__o(fo__c_2Ebool_2E_5C_2F(U,V))*.
% 214.23/111.71 83[0:Inp] || tp__o(U) tp__o(V) -> tp__o(fo__c_2Emin_2E_3D_3D_3E(U,V))*.
% 214.23/111.71 84[0:Inp] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) tp__ty_2Erealax_2Ereal(V) -> tp__o(fo__c_2Ereal__topology_2Ecball(U,V))*.
% 214.23/111.71 85[0:Inp] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) tp__ty_2Erealax_2Ereal(V) -> tp__o(fo__c_2Ereal__topology_2Eball(U,V))*.
% 214.23/111.71 86[0:Inp] || del(U) del(V) -> del(ty_2Epair_2Eprod(U,V))*.
% 214.23/111.71 87[0:Inp] || del(U) del(V) -> del(arr(U,V))*.
% 214.23/111.71 96[0:Inp] || del(U) -> mem(c_2Emin_2E_3D(U),arr(U,arr(U,bool)))*.
% 214.23/111.71 97[0:Inp] || tp__o(U) -> equal(ap(c_2Ebool_2E_7E,inj__o(U)),inj__o(fo__c_2Ebool_2E_7E(U)))**.
% 214.23/111.71 112[0:Inp] || p(U) p(ap(c_2Ebool_2E_7E,U))* mem(U,bool) -> .
% 214.23/111.71 120[0:Inp] || mem(U,bool)*+ mem(V,bool)* -> p(U) p(V) equal(U,V)*.
% 214.23/111.71 121[0:Inp] || p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(skc7)),inj__ty_2Erealax_2Ereal(skc6)))))* -> .
% 214.23/111.71 127[0:Inp] || mem(U,bool) mem(V,bool) -> p(U) p(ap(ap(c_2Emin_2E_3D_3D_3E,U),V))*.
% 214.23/111.71 131[0:Inp] || p(ap(ap(c_2Ebool_2E_2F_5C,U),V))* mem(U,bool) mem(V,bool) -> p(V).
% 214.23/111.71 132[0:Inp] || p(ap(ap(c_2Ebool_2E_2F_5C,U),V))* mem(U,bool) mem(V,bool) -> p(U).
% 214.23/111.71 134(e)[0:Inp] || p(U) mem(U,bool) mem(V,bool) -> p(ap(ap(c_2Ebool_2E_5C_2F,U),V))*.
% 214.23/111.71 135(e)[0:Inp] || p(U) mem(V,bool) mem(U,bool) -> p(ap(ap(c_2Emin_2E_3D_3D_3E,V),U))*.
% 214.23/111.71 136[0:Inp] || del(U) del(V) -> mem(c_2Epair_2E_2C(U,V),arr(U,arr(V,ty_2Epair_2Eprod(U,V))))*.
% 214.23/111.71 137(e)[0:Inp] || p(U) p(V) mem(U,bool)*+ mem(V,bool)* -> equal(U,V)*.
% 214.23/111.71 144[0:Inp] || tp__o(U) tp__o(V) -> equal(ap(ap(c_2Ebool_2E_2F_5C,inj__o(U)),inj__o(V)),inj__o(fo__c_2Ebool_2E_2F_5C(U,V)))**.
% 214.23/111.71 145[0:Inp] || tp__o(U) tp__o(V) -> equal(ap(ap(c_2Ebool_2E_5C_2F,inj__o(U)),inj__o(V)),inj__o(fo__c_2Ebool_2E_5C_2F(U,V)))**.
% 214.23/111.71 146[0:Inp] || tp__o(U) tp__o(V) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(U)),inj__o(V)),inj__o(fo__c_2Emin_2E_3D_3D_3E(U,V)))**.
% 214.23/111.71 149[0:Inp] || del(U) mem(V,arr(U,bool))+ -> p(ap(c_2Ebool_2E_21(U),V))* mem(skf7(V,U),U)*.
% 214.23/111.71 152[0:Inp] || p(U) p(ap(ap(c_2Emin_2E_3D_3D_3E,U),V))* mem(U,bool) mem(V,bool) -> p(V).
% 214.23/111.71 154[0:Inp] || tp__ty_2Erealax_2Ereal(U) tp__ty_2Erealax_2Ereal(V) -> p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(U)),inj__ty_2Erealax_2Ereal(V)))))*.
% 214.23/111.71 156[0:Inp] || del(U) del(V) mem(W,U)* mem(X,arr(U,V))*+ -> mem(ap(X,W),V)*.
% 214.23/111.71 158[0:Inp] || del(U) p(ap(V,skf7(V,W)))*+ mem(V,arr(U,bool)) -> p(ap(c_2Ebool_2E_21(U),V))*.
% 214.23/111.71 164[0:Inp] || del(U) mem(V,U)* mem(W,arr(U,bool))+ -> p(ap(W,V))* mem(skf9(W,U),U)*.
% 214.23/111.71 165[0:Inp] || del(U) mem(V,U)* mem(W,arr(U,bool))+ -> p(ap(W,V))* mem(skf8(W,U),U)*.
% 214.23/111.71 167[0:Inp] || del(U) p(ap(c_2Ebool_2E_21(U),V))*+ mem(W,U)* mem(V,arr(U,bool)) -> p(ap(V,W))*.
% 214.23/111.71 168[0:Inp] || del(U) p(ap(V,skf9(V,W)))*+ mem(X,U)* mem(V,arr(U,bool))* -> p(ap(V,X))*.
% 214.23/111.71 169[0:Inp] || del(U) p(ap(V,skf8(V,W)))*+ mem(X,U)* mem(V,arr(U,bool))* -> p(ap(V,X))*.
% 214.23/111.71 175[0:Inp] || del(U) del(V) mem(W,arr(U,V))*+ mem(X,arr(U,V))* -> equal(W,X)* mem(skf5(U,Y,Z),U)*.
% 214.23/111.71 176[0:Inp] || p(ap(c_2Ereal__topology_2Ebounded__def,U)) p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),V),U))* mem(V,arr(ty_2Erealax_2Ereal,bool)) mem(U,arr(ty_2Erealax_2Ereal,bool)) -> p(ap(c_2Ereal__topology_2Ebounded__def,V)).
% 214.23/111.71 177[0:Inp] || tp__ty_2Erealax_2Ereal(U) tp__ty_2Erealax_2Ereal(V) -> p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(U)),inj__ty_2Erealax_2Ereal(V)))),ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(U)),inj__ty_2Erealax_2Ereal(V)))))*.
% 214.23/111.71 186[0:Res:33.0,84.0] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) -> tp__o(fo__c_2Ereal__topology_2Ecball(U,skc6))*.
% 214.23/111.71 187[0:Res:33.0,85.0] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) -> tp__o(fo__c_2Ereal__topology_2Eball(U,skc6))*.
% 214.23/111.71 189[0:Res:33.0,58.0] || -> mem(inj__ty_2Erealax_2Ereal(skc6),ty_2Erealax_2Ereal)*.
% 214.23/111.71 196[0:Res:32.0,84.0] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) -> tp__o(fo__c_2Ereal__topology_2Ecball(U,skc7))*.
% 214.23/111.71 197[0:Res:32.0,85.0] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) -> tp__o(fo__c_2Ereal__topology_2Eball(U,skc7))*.
% 214.23/111.71 199[0:Res:32.0,58.0] || -> mem(inj__ty_2Erealax_2Ereal(skc7),ty_2Erealax_2Ereal)*.
% 214.23/111.71 203[0:Res:167.4,121.0] || del(U) p(ap(c_2Ebool_2E_21(U),c_2Ereal__topology_2Ebounded__def)) mem(c_2Ereal__topology_2Ebounded__def,arr(U,bool)) mem(ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(skc7)),inj__ty_2Erealax_2Ereal(skc6))),U)* -> .
% 214.23/111.71 250[0:SpR:41.0,67.1] || tp__o(fo__c_2Ebool_2ET) -> equal(surj__o(c_2Ebool_2ET),fo__c_2Ebool_2ET)**.
% 214.23/111.71 251[0:SpR:40.0,67.1] || tp__o(fo__c_2Ebool_2EF) -> equal(surj__o(c_2Ebool_2EF),fo__c_2Ebool_2EF)**.
% 214.23/111.71 252[0:MRR:250.0,27.0] || -> equal(surj__o(c_2Ebool_2ET),fo__c_2Ebool_2ET)**.
% 214.23/111.71 253[0:MRR:251.0,23.0] || -> equal(surj__o(c_2Ebool_2EF),fo__c_2Ebool_2EF)**.
% 214.23/111.71 272[0:SpR:97.1,80.2] || tp__o(U) mem(inj__o(U),bool) -> p(inj__o(U)) p(inj__o(fo__c_2Ebool_2E_7E(U)))*.
% 214.23/111.71 274[0:SpR:41.0,97.1] || tp__o(fo__c_2Ebool_2ET) -> equal(inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)),ap(c_2Ebool_2E_7E,c_2Ebool_2ET))**.
% 214.23/111.71 275[0:SpR:40.0,97.1] || tp__o(fo__c_2Ebool_2EF) -> equal(inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)),ap(c_2Ebool_2E_7E,c_2Ebool_2EF))**.
% 214.23/111.71 276[0:SpR:73.1,97.1] || mem(U,bool) tp__o(surj__o(U)) -> equal(inj__o(fo__c_2Ebool_2E_7E(surj__o(U))),ap(c_2Ebool_2E_7E,U))**.
% 214.23/111.71 277[0:MRR:274.0,27.0] || -> equal(inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)),ap(c_2Ebool_2E_7E,c_2Ebool_2ET))**.
% 214.23/111.71 278[0:MRR:275.0,23.0] || -> equal(inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)),ap(c_2Ebool_2E_7E,c_2Ebool_2EF))**.
% 214.23/111.71 279[0:MRR:272.1,59.1] || tp__o(U) -> p(inj__o(U)) p(inj__o(fo__c_2Ebool_2E_7E(U)))*.
% 214.23/111.71 280[0:MRR:276.1,39.0] || mem(U,bool) -> equal(inj__o(fo__c_2Ebool_2E_7E(surj__o(U))),ap(c_2Ebool_2E_7E,U))**.
% 214.23/111.71 281[0:SpR:277.0,59.1] || tp__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) -> mem(ap(c_2Ebool_2E_7E,c_2Ebool_2ET),bool)*.
% 214.23/111.71 282[0:SpR:277.0,67.1] || tp__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) -> equal(surj__o(ap(c_2Ebool_2E_7E,c_2Ebool_2ET)),fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))**.
% 214.23/111.71 292[0:SpR:278.0,279.2] || tp__o(fo__c_2Ebool_2EF) -> p(inj__o(fo__c_2Ebool_2EF)) p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF))*.
% 214.23/111.71 294[0:Rew:40.0,292.1] || tp__o(fo__c_2Ebool_2EF) -> p(c_2Ebool_2EF) p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF))*.
% 214.23/111.71 295(e)[0:MRR:294.0,294.1,23.0,34.0] || -> p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF))*.
% 214.23/111.71 311[0:SpL:97.1,112.1] || tp__o(U) p(inj__o(U)) p(inj__o(fo__c_2Ebool_2E_7E(U)))* mem(inj__o(U),bool) -> .
% 214.23/111.71 314[0:MRR:311.3,59.1] || tp__o(U) p(inj__o(U)) p(inj__o(fo__c_2Ebool_2E_7E(U)))* -> .
% 214.23/111.71 328[0:SpL:277.0,314.2] || tp__o(fo__c_2Ebool_2ET) p(inj__o(fo__c_2Ebool_2ET)) p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))* -> .
% 214.23/111.71 332[0:Rew:41.0,328.1] || tp__o(fo__c_2Ebool_2ET) p(c_2Ebool_2ET) p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))* -> .
% 214.23/111.71 333[0:MRR:332.0,332.1,27.0,22.0] || p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))* -> .
% 214.23/111.71 386[0:Res:35.0,120.0] || mem(U,bool)* -> p(c_2Ebool_2EF) p(U) equal(c_2Ebool_2EF,U).
% 214.23/111.71 391(e)[0:MRR:386.1,34.0] || mem(U,bool)* -> p(U) equal(c_2Ebool_2EF,U).
% 214.23/111.71 398[0:Res:59.1,391.0] || tp__o(U) -> p(inj__o(U))* equal(inj__o(U),c_2Ebool_2EF).
% 214.23/111.71 399[0:Res:281.1,391.0] || tp__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) -> p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))* equal(ap(c_2Ebool_2E_7E,c_2Ebool_2ET),c_2Ebool_2EF).
% 214.23/111.71 403[0:MRR:399.1,333.0] || tp__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) -> equal(ap(c_2Ebool_2E_7E,c_2Ebool_2ET),c_2Ebool_2EF)**.
% 214.23/111.71 405[0:Rew:403.1,282.1] || tp__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))* -> equal(surj__o(c_2Ebool_2EF),fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)).
% 214.23/111.71 408[0:Rew:253.0,405.1] || tp__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))* -> equal(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),fo__c_2Ebool_2EF).
% 214.23/111.71 413[0:Res:46.1,408.0] || tp__o(fo__c_2Ebool_2ET) -> equal(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),fo__c_2Ebool_2EF)**.
% 214.23/111.71 414[0:MRR:413.0,27.0] || -> equal(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET),fo__c_2Ebool_2EF)**.
% 214.23/111.71 415[0:Rew:414.0,277.0] || -> equal(ap(c_2Ebool_2E_7E,c_2Ebool_2ET),inj__o(fo__c_2Ebool_2EF))**.
% 214.23/111.71 417[0:Rew:40.0,415.0] || -> equal(ap(c_2Ebool_2E_7E,c_2Ebool_2ET),c_2Ebool_2EF)**.
% 214.23/111.71 434[0:Res:398.1,314.2] || tp__o(fo__c_2Ebool_2E_7E(U)) tp__o(U) p(inj__o(U)) -> equal(inj__o(fo__c_2Ebool_2E_7E(U)),c_2Ebool_2EF)**.
% 214.23/111.71 440[0:MRR:434.0,46.1] || tp__o(U) p(inj__o(U)) -> equal(inj__o(fo__c_2Ebool_2E_7E(U)),c_2Ebool_2EF)**.
% 214.23/111.71 470[0:SpR:440.2,67.1] || tp__o(U) p(inj__o(U))* tp__o(fo__c_2Ebool_2E_7E(U)) -> equal(surj__o(c_2Ebool_2EF),fo__c_2Ebool_2E_7E(U)).
% 214.23/111.71 475[0:SpR:440.2,280.1] || tp__o(surj__o(U)) p(inj__o(surj__o(U)))* mem(U,bool) -> equal(ap(c_2Ebool_2E_7E,U),c_2Ebool_2EF).
% 214.23/111.71 479[0:Rew:253.0,470.3] || tp__o(U) p(inj__o(U))* tp__o(fo__c_2Ebool_2E_7E(U)) -> equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2EF).
% 214.23/111.71 480[0:MRR:479.2,46.1] || tp__o(U) p(inj__o(U))* -> equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2EF).
% 214.23/111.71 484[0:Rew:73.1,475.1] || tp__o(surj__o(U)) p(U) mem(U,bool) -> equal(ap(c_2Ebool_2E_7E,U),c_2Ebool_2EF)**.
% 214.23/111.71 485(e)[0:MRR:484.0,39.0] || p(U) mem(U,bool) -> equal(ap(c_2Ebool_2E_7E,U),c_2Ebool_2EF)**.
% 214.23/111.71 490[0:SpL:73.1,480.1] || mem(U,bool) tp__o(surj__o(U)) p(U) -> equal(fo__c_2Ebool_2E_7E(surj__o(U)),fo__c_2Ebool_2EF)**.
% 214.23/111.71 493[0:Res:398.1,480.1] || tp__o(U) tp__o(U) -> equal(inj__o(U),c_2Ebool_2EF)** equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2EF).
% 214.23/111.71 495[0:Obv:493.0] || tp__o(U) -> equal(inj__o(U),c_2Ebool_2EF)** equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2EF).
% 214.23/111.71 498[0:MRR:490.1,39.0] || mem(U,bool) p(U) -> equal(fo__c_2Ebool_2E_7E(surj__o(U)),fo__c_2Ebool_2EF)**.
% 214.23/111.71 503[0:SpR:495.1,67.1] || tp__o(U) tp__o(U) -> equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2EF)** equal(surj__o(c_2Ebool_2EF),U)*.
% 214.23/111.71 504[0:SpR:495.1,97.1] || tp__o(U) tp__o(U) -> equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2EF) equal(inj__o(fo__c_2Ebool_2E_7E(U)),ap(c_2Ebool_2E_7E,c_2Ebool_2EF))**.
% 214.23/111.71 511[0:Obv:503.0] || tp__o(U) -> equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2EF)** equal(surj__o(c_2Ebool_2EF),U)*.
% 214.23/111.71 512(e)[0:Rew:253.0,511.2] || tp__o(U) -> equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2EF)** equal(fo__c_2Ebool_2EF,U).
% 214.23/111.71 515[0:Obv:504.0] || tp__o(U) -> equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2EF) equal(inj__o(fo__c_2Ebool_2E_7E(U)),ap(c_2Ebool_2E_7E,c_2Ebool_2EF))**.
% 214.23/111.71 518[0:SpR:512.1,279.2] || tp__o(U) tp__o(U) -> equal(fo__c_2Ebool_2EF,U) p(inj__o(U))* p(inj__o(fo__c_2Ebool_2EF))*.
% 214.23/111.71 526[0:Obv:518.0] || tp__o(U) -> equal(fo__c_2Ebool_2EF,U) p(inj__o(U))* p(inj__o(fo__c_2Ebool_2EF))*.
% 214.23/111.71 527[0:Rew:40.0,526.3] || tp__o(U) -> equal(fo__c_2Ebool_2EF,U) p(inj__o(U))* p(c_2Ebool_2EF).
% 214.23/111.71 528[0:MRR:527.3,34.0] || tp__o(U) -> equal(fo__c_2Ebool_2EF,U) p(inj__o(U))*.
% 214.23/111.71 540[0:SpR:73.1,528.2] || mem(U,bool)* tp__o(surj__o(U)) -> equal(surj__o(U),fo__c_2Ebool_2EF) p(U).
% 214.23/111.71 543(e)[0:MRR:540.1,39.0] || mem(U,bool)* -> equal(surj__o(U),fo__c_2Ebool_2EF) p(U).
% 214.23/111.71 567[0:SpR:485.2,97.1] || p(inj__o(U)) mem(inj__o(U),bool)* tp__o(U) -> equal(inj__o(fo__c_2Ebool_2E_7E(U)),c_2Ebool_2EF).
% 214.23/111.71 574[0:MRR:567.1,59.1] || p(inj__o(U)) tp__o(U) -> equal(inj__o(fo__c_2Ebool_2E_7E(U)),c_2Ebool_2EF)**.
% 214.23/111.71 613[0:SpR:574.2,97.1] || p(inj__o(U)) tp__o(U) tp__o(fo__c_2Ebool_2E_7E(U)) -> equal(inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(U))),ap(c_2Ebool_2E_7E,c_2Ebool_2EF))**.
% 214.23/111.71 632[0:MRR:613.2,46.1] || p(inj__o(U)) tp__o(U) -> equal(inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(U))),ap(c_2Ebool_2E_7E,c_2Ebool_2EF))**.
% 214.23/111.71 829(e)[0:SpR:632.2,495.1] || p(inj__o(U)) tp__o(U) tp__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(U))) -> equal(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),c_2Ebool_2EF) equal(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(U))),fo__c_2Ebool_2EF)**.
% 214.23/111.71 858(e)[1:Spt:829.3] || -> equal(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.71 860[1:Rew:858.0,295.0] || -> p(c_2Ebool_2EF)*.
% 214.23/111.71 872(e)[1:MRR:860.0,34.0] || -> .
% 214.23/111.71 908(e)[1:Spt:872.0,829.3,858.0] || equal(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),c_2Ebool_2EF)** -> .
% 214.23/111.71 909(e)[1:Spt:872.0,829.0,829.1,829.2,829.4] || p(inj__o(U)) tp__o(U) tp__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(U))) -> equal(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(U))),fo__c_2Ebool_2EF)**.
% 214.23/111.71 1495[0:Res:36.0,137.2] || p(c_2Ebool_2ET) p(U) mem(U,bool)* -> equal(c_2Ebool_2ET,U).
% 214.23/111.71 1501[0:MRR:1495.0,22.0] || p(U) mem(U,bool)* -> equal(c_2Ebool_2ET,U).
% 214.23/111.71 1505[0:Res:59.1,1501.1] || tp__o(U) p(inj__o(U))* -> equal(inj__o(U),c_2Ebool_2ET).
% 214.23/111.71 1641[0:Res:398.1,1505.1] || tp__o(U) tp__o(U) -> equal(inj__o(U),c_2Ebool_2EF) equal(inj__o(U),c_2Ebool_2ET)**.
% 214.23/111.71 1642[0:Res:528.2,1505.1] || tp__o(U) tp__o(U) -> equal(fo__c_2Ebool_2EF,U) equal(inj__o(U),c_2Ebool_2ET)**.
% 214.23/111.71 1644[0:Res:279.2,1505.1] || tp__o(U) tp__o(fo__c_2Ebool_2E_7E(U)) -> p(inj__o(U)) equal(inj__o(fo__c_2Ebool_2E_7E(U)),c_2Ebool_2ET)**.
% 214.23/111.71 1645[0:Obv:1642.0] || tp__o(U) -> equal(fo__c_2Ebool_2EF,U) equal(inj__o(U),c_2Ebool_2ET)**.
% 214.23/111.71 1647[0:Obv:1641.0] || tp__o(U) -> equal(inj__o(U),c_2Ebool_2EF) equal(inj__o(U),c_2Ebool_2ET)**.
% 214.23/111.71 1650[0:MRR:1644.1,46.1] || tp__o(U) -> p(inj__o(U)) equal(inj__o(fo__c_2Ebool_2E_7E(U)),c_2Ebool_2ET)**.
% 214.23/111.71 1658[0:SpR:1645.2,67.1] || tp__o(U)* tp__o(U)* -> equal(fo__c_2Ebool_2EF,U) equal(surj__o(c_2Ebool_2ET),U)*.
% 214.23/111.71 1662[0:SpR:1645.2,73.1] || tp__o(surj__o(U)) mem(U,bool)* -> equal(surj__o(U),fo__c_2Ebool_2EF) equal(c_2Ebool_2ET,U).
% 214.23/111.71 1668[0:Obv:1658.0] || tp__o(U)* -> equal(fo__c_2Ebool_2EF,U) equal(surj__o(c_2Ebool_2ET),U)*.
% 214.23/111.71 1669[0:Rew:252.0,1668.2] || tp__o(U)* -> equal(fo__c_2Ebool_2EF,U) equal(fo__c_2Ebool_2ET,U).
% 214.23/111.71 1670[0:MRR:1662.0,39.0] || mem(U,bool)* -> equal(surj__o(U),fo__c_2Ebool_2EF) equal(c_2Ebool_2ET,U).
% 214.23/111.71 1678[0:Res:39.0,1669.0] || -> equal(surj__o(U),fo__c_2Ebool_2EF) equal(surj__o(U),fo__c_2Ebool_2ET)**.
% 214.23/111.71 1679[0:Res:46.1,1669.0] || tp__o(U) -> equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2EF) equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2ET)**.
% 214.23/111.71 1686[0:Res:83.2,1669.0] || tp__o(U) tp__o(V) -> equal(fo__c_2Emin_2E_3D_3D_3E(U,V),fo__c_2Ebool_2EF) equal(fo__c_2Emin_2E_3D_3D_3E(U,V),fo__c_2Ebool_2ET)**.
% 214.23/111.71 1688[0:Res:81.2,1669.0] || tp__o(U) tp__o(V) -> equal(fo__c_2Ebool_2E_2F_5C(U,V),fo__c_2Ebool_2EF) equal(fo__c_2Ebool_2E_2F_5C(U,V),fo__c_2Ebool_2ET)**.
% 214.23/111.71 1697[0:EqF:1678.1,1678.0] || equal(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF) -> equal(surj__o(U),fo__c_2Ebool_2EF)**.
% 214.23/111.71 1738[0:SpR:1647.2,67.1] || tp__o(U) tp__o(U) -> equal(inj__o(U),c_2Ebool_2EF)** equal(surj__o(c_2Ebool_2ET),U).
% 214.23/111.71 1743[0:SpR:1647.2,73.1] || tp__o(surj__o(U)) mem(U,bool) -> equal(inj__o(surj__o(U)),c_2Ebool_2EF)** equal(c_2Ebool_2ET,U).
% 214.23/111.71 1749[0:Obv:1738.0] || tp__o(U) -> equal(inj__o(U),c_2Ebool_2EF)** equal(surj__o(c_2Ebool_2ET),U).
% 214.23/111.71 1750[0:Rew:252.0,1749.2] || tp__o(U) -> equal(inj__o(U),c_2Ebool_2EF)** equal(fo__c_2Ebool_2ET,U).
% 214.23/111.71 1751[0:Rew:73.1,1743.2] || tp__o(surj__o(U)) mem(U,bool)* -> equal(U,c_2Ebool_2EF) equal(c_2Ebool_2ET,U).
% 214.23/111.71 1752[0:Rew:1670.1,1751.0] || tp__o(fo__c_2Ebool_2EF) mem(U,bool)* -> equal(U,c_2Ebool_2EF) equal(c_2Ebool_2ET,U).
% 214.23/111.71 1753[0:MRR:1752.0,23.0] || mem(U,bool)* -> equal(U,c_2Ebool_2EF) equal(c_2Ebool_2ET,U).
% 214.23/111.71 1802[0:SpR:1650.2,67.1] || tp__o(U) tp__o(fo__c_2Ebool_2E_7E(U)) -> p(inj__o(U))* equal(surj__o(c_2Ebool_2ET),fo__c_2Ebool_2E_7E(U)).
% 214.23/111.71 1820[0:Rew:252.0,1802.3] || tp__o(U) tp__o(fo__c_2Ebool_2E_7E(U)) -> p(inj__o(U))* equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2ET).
% 214.23/111.71 2041[0:SpR:41.0,146.2] || tp__o(U) tp__o(fo__c_2Ebool_2ET) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(U)),c_2Ebool_2ET),inj__o(fo__c_2Emin_2E_3D_3D_3E(U,fo__c_2Ebool_2ET)))**.
% 214.23/111.71 2042[0:SpR:40.0,146.2] || tp__o(U) tp__o(fo__c_2Ebool_2EF) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(U)),c_2Ebool_2EF),inj__o(fo__c_2Emin_2E_3D_3D_3E(U,fo__c_2Ebool_2EF)))**.
% 214.23/111.71 2047[0:SpR:73.1,146.2] || mem(U,bool) tp__o(V) tp__o(surj__o(U)) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(V)),U),inj__o(fo__c_2Emin_2E_3D_3D_3E(V,surj__o(U))))**.
% 214.23/111.71 2052[0:SpR:40.0,146.2] || tp__o(fo__c_2Ebool_2EF) tp__o(U) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2EF),inj__o(U)),inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,U)))**.
% 214.23/111.71 2057[0:SpR:73.1,146.2] || mem(U,bool) tp__o(surj__o(U)) tp__o(V) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),inj__o(V)),inj__o(fo__c_2Emin_2E_3D_3D_3E(surj__o(U),V)))**.
% 214.23/111.71 2061[0:MRR:2041.1,27.0] || tp__o(U) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(U)),c_2Ebool_2ET),inj__o(fo__c_2Emin_2E_3D_3D_3E(U,fo__c_2Ebool_2ET)))**.
% 214.23/111.71 2062[0:MRR:2042.1,23.0] || tp__o(U) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(U)),c_2Ebool_2EF),inj__o(fo__c_2Emin_2E_3D_3D_3E(U,fo__c_2Ebool_2EF)))**.
% 214.23/111.71 2064[0:MRR:2052.0,23.0] || tp__o(U) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2EF),inj__o(U)),inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,U)))**.
% 214.23/111.71 2065[0:MRR:2057.1,39.0] || mem(U,bool) tp__o(V) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),inj__o(V)),inj__o(fo__c_2Emin_2E_3D_3D_3E(surj__o(U),V)))**.
% 214.23/111.71 2070[0:MRR:2047.2,39.0] || mem(U,bool) tp__o(V) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(V)),U),inj__o(fo__c_2Emin_2E_3D_3D_3E(V,surj__o(U))))**.
% 214.23/111.71 2129[0:SpR:2061.1,135.3] || tp__o(U) p(c_2Ebool_2ET) mem(inj__o(U),bool) mem(c_2Ebool_2ET,bool) -> p(inj__o(fo__c_2Emin_2E_3D_3D_3E(U,fo__c_2Ebool_2ET)))*.
% 214.23/111.71 2137[0:SpR:73.1,2061.1] || mem(U,bool) tp__o(surj__o(U)) -> equal(inj__o(fo__c_2Emin_2E_3D_3D_3E(surj__o(U),fo__c_2Ebool_2ET)),ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2ET))**.
% 214.23/111.71 2147[0:MRR:2137.1,39.0] || mem(U,bool) -> equal(inj__o(fo__c_2Emin_2E_3D_3D_3E(surj__o(U),fo__c_2Ebool_2ET)),ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2ET))**.
% 214.23/111.71 2152[0:MRR:2129.1,2129.2,2129.3,22.0,59.1,36.0] || tp__o(U) -> p(inj__o(fo__c_2Emin_2E_3D_3D_3E(U,fo__c_2Ebool_2ET)))*.
% 214.23/111.71 2158[0:SpR:1750.1,2152.1] || tp__o(fo__c_2Emin_2E_3D_3D_3E(U,fo__c_2Ebool_2ET))* tp__o(U) -> equal(fo__c_2Emin_2E_3D_3D_3E(U,fo__c_2Ebool_2ET),fo__c_2Ebool_2ET) p(c_2Ebool_2EF).
% 214.23/111.71 2160[0:MRR:2158.3,34.0] || tp__o(fo__c_2Emin_2E_3D_3D_3E(U,fo__c_2Ebool_2ET))* tp__o(U) -> equal(fo__c_2Emin_2E_3D_3D_3E(U,fo__c_2Ebool_2ET),fo__c_2Ebool_2ET).
% 214.23/111.71 2172[0:SpR:40.0,145.2] || tp__o(U) tp__o(fo__c_2Ebool_2EF) -> equal(ap(ap(c_2Ebool_2E_5C_2F,inj__o(U)),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2E_5C_2F(U,fo__c_2Ebool_2EF)))**.
% 214.23/111.71 2181[0:SpR:41.0,145.2] || tp__o(fo__c_2Ebool_2ET) tp__o(U) -> equal(ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),inj__o(U)),inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,U)))**.
% 214.23/111.71 2192[0:MRR:2172.1,23.0] || tp__o(U) -> equal(ap(ap(c_2Ebool_2E_5C_2F,inj__o(U)),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2E_5C_2F(U,fo__c_2Ebool_2EF)))**.
% 214.23/111.71 2193[0:MRR:2181.0,27.0] || tp__o(U) -> equal(ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),inj__o(U)),inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,U)))**.
% 214.23/111.71 2250[0:SpR:40.0,144.2] || tp__o(U) tp__o(fo__c_2Ebool_2EF) -> equal(ap(ap(c_2Ebool_2E_2F_5C,inj__o(U)),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2E_2F_5C(U,fo__c_2Ebool_2EF)))**.
% 214.23/111.71 2259[0:SpR:41.0,144.2] || tp__o(fo__c_2Ebool_2ET) tp__o(U) -> equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),inj__o(U)),inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,U)))**.
% 214.23/111.71 2269[0:SpL:144.2,131.0] || tp__o(U) tp__o(V) p(inj__o(fo__c_2Ebool_2E_2F_5C(U,V)))* mem(inj__o(U),bool) mem(inj__o(V),bool) -> p(inj__o(V)).
% 214.23/111.71 2272[0:MRR:2250.1,23.0] || tp__o(U) -> equal(ap(ap(c_2Ebool_2E_2F_5C,inj__o(U)),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2E_2F_5C(U,fo__c_2Ebool_2EF)))**.
% 214.23/111.71 2273[0:MRR:2259.0,27.0] || tp__o(U) -> equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),inj__o(U)),inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,U)))**.
% 214.23/111.71 2294[0:MRR:2269.3,2269.4,59.1,59.1] || tp__o(U) tp__o(V) p(inj__o(fo__c_2Ebool_2E_2F_5C(U,V)))* -> p(inj__o(V)).
% 214.23/111.71 2402[0:Res:83.2,2160.0] || tp__o(U) tp__o(fo__c_2Ebool_2ET) tp__o(U) -> equal(fo__c_2Emin_2E_3D_3D_3E(U,fo__c_2Ebool_2ET),fo__c_2Ebool_2ET)**.
% 214.23/111.71 2404[0:Obv:2402.0] || tp__o(fo__c_2Ebool_2ET) tp__o(U) -> equal(fo__c_2Emin_2E_3D_3D_3E(U,fo__c_2Ebool_2ET),fo__c_2Ebool_2ET)**.
% 214.23/111.71 2405[0:MRR:2404.0,27.0] || tp__o(U) -> equal(fo__c_2Emin_2E_3D_3D_3E(U,fo__c_2Ebool_2ET),fo__c_2Ebool_2ET)**.
% 214.23/111.71 2406[0:Rew:2405.1,2061.1] || tp__o(U) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(U)),c_2Ebool_2ET),inj__o(fo__c_2Ebool_2ET))**.
% 214.23/111.71 2416[0:Rew:41.0,2406.1] || tp__o(U) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(U)),c_2Ebool_2ET),c_2Ebool_2ET)**.
% 214.23/111.71 2434[0:SpR:73.1,2416.1] || mem(U,bool) tp__o(surj__o(U)) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2ET),c_2Ebool_2ET)**.
% 214.23/111.71 2438[0:MRR:2434.1,39.0] || mem(U,bool) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2ET),c_2Ebool_2ET)**.
% 214.23/111.71 2439[0:Rew:2438.1,2147.1] || mem(U,bool) -> equal(inj__o(fo__c_2Emin_2E_3D_3D_3E(surj__o(U),fo__c_2Ebool_2ET)),c_2Ebool_2ET)**.
% 214.23/111.71 2496[0:SpR:41.0,2062.1] || tp__o(fo__c_2Ebool_2ET) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2ET),c_2Ebool_2EF),inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)))**.
% 214.23/111.71 2502[0:SpR:73.1,2062.1] || mem(U,bool) tp__o(surj__o(U)) -> equal(inj__o(fo__c_2Emin_2E_3D_3D_3E(surj__o(U),fo__c_2Ebool_2EF)),ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF))**.
% 214.23/111.71 2507[0:MRR:2496.0,27.0] || -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2ET),c_2Ebool_2EF),inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)))**.
% 214.23/111.71 2513[0:MRR:2502.1,39.0] || mem(U,bool) -> equal(inj__o(fo__c_2Emin_2E_3D_3D_3E(surj__o(U),fo__c_2Ebool_2EF)),ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF))**.
% 214.23/111.71 2830[0:SpR:2064.1,127.3] || tp__o(U) mem(c_2Ebool_2EF,bool) mem(inj__o(U),bool) -> p(c_2Ebool_2EF) p(inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,U)))*.
% 214.23/111.71 2850[0:MRR:2830.1,2830.2,2830.3,35.0,59.1,34.0] || tp__o(U) -> p(inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,U)))*.
% 214.23/111.71 2883[0:SpR:1750.1,2850.1] || tp__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,U))* tp__o(U) -> equal(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,U),fo__c_2Ebool_2ET) p(c_2Ebool_2EF).
% 214.23/111.71 2892[0:MRR:2883.3,34.0] || tp__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,U))* tp__o(U) -> equal(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,U),fo__c_2Ebool_2ET).
% 214.23/111.71 2894[0:Res:42.0,149.1] || del(bool) -> p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))* mem(skf7(c_2Ebool_2E_7E,bool),bool).
% 214.23/111.71 2895(e)[0:Res:57.0,149.1] || del(arr(ty_2Erealax_2Ereal,bool)) -> p(ap(c_2Ebool_2E_21(arr(ty_2Erealax_2Ereal,bool)),c_2Ereal__topology_2Ebounded__def)) mem(skf7(c_2Ereal__topology_2Ebounded__def,arr(ty_2Erealax_2Ereal,bool)),arr(ty_2Erealax_2Ereal,bool))*.
% 214.23/111.71 2898(e)[0:MRR:2894.0,30.0] || -> p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))* mem(skf7(c_2Ebool_2E_7E,bool),bool).
% 214.23/111.71 2899[2:Spt:2898.0] || -> p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))*.
% 214.23/111.71 3112[0:Res:83.2,2892.0] || tp__o(fo__c_2Ebool_2EF) tp__o(U) tp__o(U) -> equal(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,U),fo__c_2Ebool_2ET)**.
% 214.23/111.71 3115[0:Obv:3112.1] || tp__o(fo__c_2Ebool_2EF) tp__o(U) -> equal(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,U),fo__c_2Ebool_2ET)**.
% 214.23/111.71 3116[0:MRR:3115.0,23.0] || tp__o(U) -> equal(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,U),fo__c_2Ebool_2ET)**.
% 214.23/111.71 3281[0:SpL:146.2,152.1] || tp__o(U) tp__o(V) p(inj__o(U)) p(inj__o(fo__c_2Emin_2E_3D_3D_3E(U,V)))* mem(inj__o(U),bool) mem(inj__o(V),bool) -> p(inj__o(V)).
% 214.23/111.71 3287[0:SpL:2507.0,152.1] || p(c_2Ebool_2ET) p(inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)))* mem(c_2Ebool_2ET,bool) mem(c_2Ebool_2EF,bool) -> p(c_2Ebool_2EF).
% 214.23/111.71 3294[0:MRR:3287.0,3287.2,3287.3,3287.4,22.0,36.0,35.0,34.0] || p(inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)))* -> .
% 214.23/111.71 3298[0:MRR:3281.4,3281.5,59.1,59.1] || tp__o(U) tp__o(V) p(inj__o(U)) p(inj__o(fo__c_2Emin_2E_3D_3D_3E(U,V)))* -> p(inj__o(V)).
% 214.23/111.71 3300[0:SpL:1645.2,3294.0] || tp__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF))* p(c_2Ebool_2ET) -> equal(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF),fo__c_2Ebool_2EF).
% 214.23/111.71 3312[0:MRR:3300.1,22.0] || tp__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF))* -> equal(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF),fo__c_2Ebool_2EF).
% 214.23/111.71 3340[0:Res:83.2,3312.0] || tp__o(fo__c_2Ebool_2ET) tp__o(fo__c_2Ebool_2EF) -> equal(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF),fo__c_2Ebool_2EF)**.
% 214.23/111.71 3341[0:MRR:3340.0,3340.1,27.0,23.0] || -> equal(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF),fo__c_2Ebool_2EF)**.
% 214.23/111.71 3949[0:SpR:41.0,2192.1] || tp__o(fo__c_2Ebool_2ET) -> equal(ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)))**.
% 214.23/111.71 3951[0:SpR:1647.2,2192.1] || tp__o(U) tp__o(U) -> equal(inj__o(U),c_2Ebool_2EF) equal(ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2E_5C_2F(U,fo__c_2Ebool_2EF)))*.
% 214.23/111.71 3971[0:MRR:3949.0,27.0] || -> equal(ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)))**.
% 214.23/111.71 3980[0:Obv:3951.0] || tp__o(U) -> equal(inj__o(U),c_2Ebool_2EF) equal(ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2E_5C_2F(U,fo__c_2Ebool_2EF)))*.
% 214.23/111.71 3981[0:Rew:3971.0,3980.2] || tp__o(U) -> equal(inj__o(U),c_2Ebool_2EF) equal(inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)),inj__o(fo__c_2Ebool_2E_5C_2F(U,fo__c_2Ebool_2EF)))*.
% 214.23/111.71 3998[0:Res:42.0,156.3] || del(bool) del(bool) mem(U,bool) -> mem(ap(c_2Ebool_2E_7E,U),bool)*.
% 214.23/111.71 4002[0:Res:56.0,156.3] || del(bool) del(arr(bool,bool)) mem(U,bool) -> mem(ap(c_2Emin_2E_3D_3D_3E,U),arr(bool,bool))*.
% 214.23/111.71 4005(e)[0:Res:70.0,156.3] || del(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) del(arr(ty_2Erealax_2Ereal,bool)) mem(U,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) -> mem(ap(c_2Ereal__topology_2Eball,U),arr(ty_2Erealax_2Ereal,bool))*.
% 214.23/111.71 4006(e)[0:Res:69.0,156.3] || del(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) del(arr(ty_2Erealax_2Ereal,bool)) mem(U,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) -> mem(ap(c_2Ereal__topology_2Ecball,U),arr(ty_2Erealax_2Ereal,bool))*.
% 214.23/111.71 4009[0:Res:136.2,156.3] || del(U) del(V) del(U) del(arr(V,ty_2Epair_2Eprod(U,V))) mem(W,U) -> mem(ap(c_2Epair_2E_2C(U,V),W),arr(V,ty_2Epair_2Eprod(U,V)))*.
% 214.23/111.71 4010[0:Obv:3998.0] || del(bool) mem(U,bool) -> mem(ap(c_2Ebool_2E_7E,U),bool)*.
% 214.23/111.71 4012(e)[0:MRR:4002.0,30.0] || del(arr(bool,bool)) mem(U,bool) -> mem(ap(c_2Emin_2E_3D_3D_3E,U),arr(bool,bool))*.
% 214.23/111.71 4018[0:Obv:4009.0] || del(U) del(V) del(arr(U,ty_2Epair_2Eprod(V,U))) mem(W,V) -> mem(ap(c_2Epair_2E_2C(V,U),W),arr(U,ty_2Epair_2Eprod(V,U)))*.
% 214.23/111.71 4019[0:SpR:3971.0,134.3] || p(c_2Ebool_2ET) mem(c_2Ebool_2ET,bool) mem(c_2Ebool_2EF,bool) -> p(inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)))*.
% 214.23/111.71 4023[0:MRR:4019.0,4019.1,4019.2,22.0,36.0,35.0] || -> p(inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)))*.
% 214.23/111.71 4026[0:SpR:1750.1,4023.0] || tp__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF))* -> equal(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF),fo__c_2Ebool_2ET) p(c_2Ebool_2EF).
% 214.23/111.71 4028[0:MRR:4026.2,34.0] || tp__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF))* -> equal(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF),fo__c_2Ebool_2ET).
% 214.23/111.71 4050[0:Res:82.2,4028.0] || tp__o(fo__c_2Ebool_2ET) tp__o(fo__c_2Ebool_2EF) -> equal(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF),fo__c_2Ebool_2ET)**.
% 214.23/111.71 4051[0:MRR:4050.0,4050.1,27.0,23.0] || -> equal(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF),fo__c_2Ebool_2ET)**.
% 214.23/111.71 4054[0:Rew:4051.0,3981.2] || tp__o(U) -> equal(inj__o(U),c_2Ebool_2EF) equal(inj__o(fo__c_2Ebool_2E_5C_2F(U,fo__c_2Ebool_2EF)),inj__o(fo__c_2Ebool_2ET))**.
% 214.23/111.71 4059[0:Rew:41.0,4054.2] || tp__o(U) -> equal(inj__o(U),c_2Ebool_2EF) equal(inj__o(fo__c_2Ebool_2E_5C_2F(U,fo__c_2Ebool_2EF)),c_2Ebool_2ET)**.
% 214.23/111.71 4079[0:Res:42.0,164.2] || del(bool) mem(U,bool) -> p(ap(c_2Ebool_2E_7E,U))* mem(skf9(c_2Ebool_2E_7E,bool),bool)*.
% 214.23/111.71 4083[0:MRR:4079.0,30.0] || mem(U,bool) -> p(ap(c_2Ebool_2E_7E,U))* mem(skf9(c_2Ebool_2E_7E,bool),bool)*.
% 214.23/111.71 4109[0:Res:42.0,165.2] || del(bool) mem(U,bool) -> p(ap(c_2Ebool_2E_7E,U))* mem(skf8(c_2Ebool_2E_7E,bool),bool)*.
% 214.23/111.71 4113[0:MRR:4109.0,30.0] || mem(U,bool) -> p(ap(c_2Ebool_2E_7E,U))* mem(skf8(c_2Ebool_2E_7E,bool),bool)*.
% 214.23/111.71 4395[0:SpR:2193.1,134.3] || tp__o(U) p(c_2Ebool_2ET) mem(c_2Ebool_2ET,bool) mem(inj__o(U),bool) -> p(inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,U)))*.
% 214.23/111.71 4435[0:MRR:4395.1,4395.2,4395.3,22.0,36.0,59.1] || tp__o(U) -> p(inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,U)))*.
% 214.23/111.71 4489[0:SpR:1750.1,4435.1] || tp__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,U))* tp__o(U) -> equal(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,U),fo__c_2Ebool_2ET) p(c_2Ebool_2EF).
% 214.23/111.71 4501[0:MRR:4489.3,34.0] || tp__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,U))* tp__o(U) -> equal(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,U),fo__c_2Ebool_2ET).
% 214.23/111.71 4772[0:Res:82.2,4501.0] || tp__o(fo__c_2Ebool_2ET) tp__o(U) tp__o(U) -> equal(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,U),fo__c_2Ebool_2ET)**.
% 214.23/111.71 4775[0:Obv:4772.1] || tp__o(fo__c_2Ebool_2ET) tp__o(U) -> equal(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,U),fo__c_2Ebool_2ET)**.
% 214.23/111.71 4776[0:MRR:4775.0,27.0] || tp__o(U) -> equal(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,U),fo__c_2Ebool_2ET)**.
% 214.23/111.71 4777[0:Rew:4776.1,2193.1] || tp__o(U) -> equal(ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),inj__o(U)),inj__o(fo__c_2Ebool_2ET))**.
% 214.23/111.71 4787[0:Rew:41.0,4777.1] || tp__o(U) -> equal(ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),inj__o(U)),c_2Ebool_2ET)**.
% 214.23/111.71 4848[2:Res:2899.0,167.1] || del(bool) mem(U,bool) mem(c_2Ebool_2E_7E,arr(bool,bool))* -> p(ap(c_2Ebool_2E_7E,U))*.
% 214.23/111.71 4849[2:MRR:4848.0,4848.2,30.0,42.0] || mem(U,bool) -> p(ap(c_2Ebool_2E_7E,U))*.
% 214.23/111.71 4876[2:SpR:417.0,4849.1] || mem(c_2Ebool_2ET,bool)* -> p(c_2Ebool_2EF).
% 214.23/111.71 4880(e)[2:MRR:4876.0,4876.1,36.0,34.0] || -> .
% 214.23/111.71 4993[2:Spt:4880.0,2898.0,2899.0] || p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))* -> .
% 214.23/111.71 4994[2:Spt:4880.0,2898.1] || -> mem(skf7(c_2Ebool_2E_7E,bool),bool)*.
% 214.23/111.71 4996[0:MRR:4010.0,30.0] || mem(U,bool) -> mem(ap(c_2Ebool_2E_7E,U),bool)*.
% 214.23/111.71 4997[0:Rew:1679.2,515.2] || tp__o(U) -> equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2EF)** equal(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),inj__o(fo__c_2Ebool_2ET))**.
% 214.23/111.71 4998(e)[0:Rew:41.0,4997.2] || tp__o(U) -> equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2EF)** equal(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),c_2Ebool_2ET)**.
% 214.23/111.71 5006[0:Rew:1679.1,1820.1] || tp__o(U) tp__o(fo__c_2Ebool_2EF) -> p(inj__o(U))* equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2ET).
% 214.23/111.71 5007[0:MRR:5006.1,23.0] || tp__o(U) -> p(inj__o(U))* equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2ET).
% 214.23/111.71 5085[3:Spt:4998.2] || -> equal(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),c_2Ebool_2ET)**.
% 214.23/111.71 5087[3:Rew:5085.0,908.0] || equal(c_2Ebool_2ET,c_2Ebool_2EF)** -> .
% 214.23/111.71 5203[0:SpR:1697.1,73.1] || equal(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF) mem(U,bool)* -> equal(inj__o(fo__c_2Ebool_2EF),U).
% 214.23/111.71 5208(e)[0:Rew:40.0,5203.2] || equal(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF) mem(U,bool)* -> equal(c_2Ebool_2EF,U).
% 214.23/111.71 5212[0:SpR:97.1,4996.1] || tp__o(U) mem(inj__o(U),bool) -> mem(inj__o(fo__c_2Ebool_2E_7E(U)),bool)*.
% 214.23/111.71 5216[0:MRR:5212.1,59.1] || tp__o(U) -> mem(inj__o(fo__c_2Ebool_2E_7E(U)),bool)*.
% 214.23/111.71 5238(e)[2:Res:4994.0,391.0] || -> p(skf7(c_2Ebool_2E_7E,bool))* equal(skf7(c_2Ebool_2E_7E,bool),c_2Ebool_2EF).
% 214.23/111.71 5242[4:Spt:5238.1] || -> equal(skf7(c_2Ebool_2E_7E,bool),c_2Ebool_2EF)**.
% 214.23/111.71 5247[4:SpL:5242.0,158.1] || del(U) p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) mem(c_2Ebool_2E_7E,arr(U,bool)) -> p(ap(c_2Ebool_2E_21(U),c_2Ebool_2E_7E))*.
% 214.23/111.71 5248[4:Rew:5085.0,5247.1] || del(U) p(c_2Ebool_2ET) mem(c_2Ebool_2E_7E,arr(U,bool)) -> p(ap(c_2Ebool_2E_21(U),c_2Ebool_2E_7E))*.
% 214.23/111.71 5249[4:MRR:5248.1,22.0] || del(U) mem(c_2Ebool_2E_7E,arr(U,bool)) -> p(ap(c_2Ebool_2E_21(U),c_2Ebool_2E_7E))*.
% 214.23/111.71 5265[0:Res:59.1,120.0] || tp__o(U) mem(V,bool)*+ -> p(inj__o(U))* p(V) equal(inj__o(U),V)*.
% 214.23/111.71 5290[0:SpR:40.0,5007.1] || tp__o(fo__c_2Ebool_2EF) -> p(c_2Ebool_2EF) equal(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF),fo__c_2Ebool_2ET)**.
% 214.23/111.71 5293[0:SpR:1750.1,5007.1] || tp__o(U) tp__o(U) -> equal(fo__c_2Ebool_2ET,U) p(c_2Ebool_2EF) equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2ET)**.
% 214.23/111.71 5313[0:Obv:5293.0] || tp__o(U) -> equal(fo__c_2Ebool_2ET,U) p(c_2Ebool_2EF) equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2ET)**.
% 214.23/111.71 5314[0:MRR:5313.2,34.0] || tp__o(U) -> equal(fo__c_2Ebool_2ET,U) equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2ET)**.
% 214.23/111.71 5626[0:Res:36.0,5208.1] || equal(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)** -> equal(c_2Ebool_2ET,c_2Ebool_2EF).
% 214.23/111.71 5631[3:MRR:5626.1,5087.0] || equal(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)** -> .
% 214.23/111.71 5705(e)[0:SpR:498.2,5314.2] || mem(U,bool)* p(U) tp__o(surj__o(U)) -> equal(surj__o(U),fo__c_2Ebool_2ET) equal(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF).
% 214.23/111.71 5713(e)[0:Rew:1678.0,5705.2] || mem(U,bool)* p(U) tp__o(fo__c_2Ebool_2EF) -> equal(surj__o(U),fo__c_2Ebool_2ET) equal(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF).
% 214.23/111.71 5714(e)[3:MRR:5713.2,5713.4,23.0,5631.0] || mem(U,bool)* p(U) -> equal(surj__o(U),fo__c_2Ebool_2ET).
% 214.23/111.71 5720[3:Res:5216.1,5714.0] || tp__o(U) p(inj__o(fo__c_2Ebool_2E_7E(U))) -> equal(surj__o(inj__o(fo__c_2Ebool_2E_7E(U))),fo__c_2Ebool_2ET)**.
% 214.23/111.71 6974[0:SpR:41.0,2272.1] || tp__o(fo__c_2Ebool_2ET) -> equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)))**.
% 214.23/111.71 6975[0:SpR:40.0,2272.1] || tp__o(fo__c_2Ebool_2EF) -> equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2EF)))**.
% 214.23/111.71 7009[0:SpL:2272.1,131.0] || tp__o(U) p(inj__o(fo__c_2Ebool_2E_2F_5C(U,fo__c_2Ebool_2EF)))* mem(inj__o(U),bool) mem(c_2Ebool_2EF,bool) -> p(c_2Ebool_2EF).
% 214.23/111.71 7010[0:MRR:6974.0,27.0] || -> equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)))**.
% 214.23/111.71 7011[0:MRR:6975.0,23.0] || -> equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2EF)))**.
% 214.23/111.71 7017[0:MRR:7009.2,7009.3,7009.4,59.1,35.0,34.0] || tp__o(U) p(inj__o(fo__c_2Ebool_2E_2F_5C(U,fo__c_2Ebool_2EF)))* -> .
% 214.23/111.71 7050[0:SpL:1645.2,7017.1] || tp__o(fo__c_2Ebool_2E_2F_5C(U,fo__c_2Ebool_2EF))* tp__o(U) p(c_2Ebool_2ET) -> equal(fo__c_2Ebool_2E_2F_5C(U,fo__c_2Ebool_2EF),fo__c_2Ebool_2EF).
% 214.23/111.71 7054[0:MRR:7050.2,22.0] || tp__o(fo__c_2Ebool_2E_2F_5C(U,fo__c_2Ebool_2EF))* tp__o(U) -> equal(fo__c_2Ebool_2E_2F_5C(U,fo__c_2Ebool_2EF),fo__c_2Ebool_2EF).
% 214.23/111.71 7068[0:SpL:7010.0,131.0] || p(inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)))* mem(c_2Ebool_2ET,bool) mem(c_2Ebool_2EF,bool) -> p(c_2Ebool_2EF).
% 214.23/111.71 7069[0:MRR:7068.1,7068.2,7068.3,36.0,35.0,34.0] || p(inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)))* -> .
% 214.23/111.71 7071[0:SpL:1645.2,7069.0] || tp__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF))* p(c_2Ebool_2ET) -> equal(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF),fo__c_2Ebool_2EF).
% 214.23/111.71 7075[0:MRR:7071.1,22.0] || tp__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF))* -> equal(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF),fo__c_2Ebool_2EF).
% 214.23/111.71 7080[0:SpL:7011.0,132.0] || p(inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2EF)))* mem(c_2Ebool_2EF,bool) mem(c_2Ebool_2EF,bool) -> p(c_2Ebool_2EF).
% 214.23/111.71 7082[0:Obv:7080.1] || p(inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2EF)))* mem(c_2Ebool_2EF,bool) -> p(c_2Ebool_2EF).
% 214.23/111.71 7083[0:MRR:7082.1,7082.2,35.0,34.0] || p(inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2EF)))* -> .
% 214.23/111.71 7087[0:SpL:1645.2,7083.0] || tp__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2EF))* p(c_2Ebool_2ET) -> equal(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2EF),fo__c_2Ebool_2EF).
% 214.23/111.71 7091[0:MRR:7087.1,22.0] || tp__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2EF))* -> equal(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2EF),fo__c_2Ebool_2EF).
% 214.23/111.71 7098[0:Res:81.2,7075.0] || tp__o(fo__c_2Ebool_2ET) tp__o(fo__c_2Ebool_2EF) -> equal(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF),fo__c_2Ebool_2EF)**.
% 214.23/111.71 7099[0:MRR:7098.0,7098.1,27.0,23.0] || -> equal(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF),fo__c_2Ebool_2EF)**.
% 214.23/111.71 7100[0:Rew:7099.0,7010.0] || -> equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2EF))**.
% 214.23/111.71 7105[0:Rew:40.0,7100.0] || -> equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.71 7116[0:Res:81.2,7091.0] || tp__o(fo__c_2Ebool_2EF) tp__o(fo__c_2Ebool_2EF) -> equal(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2EF),fo__c_2Ebool_2EF)**.
% 214.23/111.71 7117[0:Obv:7116.0] || tp__o(fo__c_2Ebool_2EF) -> equal(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2EF),fo__c_2Ebool_2EF)**.
% 214.23/111.71 7118[0:MRR:7117.0,23.0] || -> equal(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,fo__c_2Ebool_2EF),fo__c_2Ebool_2EF)**.
% 214.23/111.71 7119[0:Rew:7118.0,7011.0] || -> equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2EF))**.
% 214.23/111.71 7125[0:Rew:40.0,7119.0] || -> equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.71 7129[0:Res:42.0,175.2] || del(bool) del(bool) mem(U,arr(bool,bool))* -> equal(c_2Ebool_2E_7E,U) mem(skf5(bool,V,W),bool)*.
% 214.23/111.71 7138[0:Res:96.1,175.2] || del(U) del(U) del(arr(U,bool)) mem(V,arr(U,arr(U,bool)))* -> equal(c_2Emin_2E_3D(U),V) mem(skf5(U,W,X),U)*.
% 214.23/111.71 7141[0:Obv:7129.0] || del(bool) mem(U,arr(bool,bool))* -> equal(c_2Ebool_2E_7E,U) mem(skf5(bool,V,W),bool)*.
% 214.23/111.71 7142(e)[0:MRR:7141.0,30.0] || mem(U,arr(bool,bool))* -> equal(c_2Ebool_2E_7E,U) mem(skf5(bool,V,W),bool)*.
% 214.23/111.71 7146[0:Obv:7138.0] || del(U) del(arr(U,bool)) mem(V,arr(U,arr(U,bool)))*+ -> equal(c_2Emin_2E_3D(U),V) mem(skf5(U,W,X),U)*.
% 214.23/111.71 7290[0:Res:81.2,7054.0] || tp__o(U) tp__o(fo__c_2Ebool_2EF) tp__o(U) -> equal(fo__c_2Ebool_2E_2F_5C(U,fo__c_2Ebool_2EF),fo__c_2Ebool_2EF)**.
% 214.23/111.71 7292[0:Obv:7290.0] || tp__o(fo__c_2Ebool_2EF) tp__o(U) -> equal(fo__c_2Ebool_2E_2F_5C(U,fo__c_2Ebool_2EF),fo__c_2Ebool_2EF)**.
% 214.23/111.71 7293[0:MRR:7292.0,23.0] || tp__o(U) -> equal(fo__c_2Ebool_2E_2F_5C(U,fo__c_2Ebool_2EF),fo__c_2Ebool_2EF)**.
% 214.23/111.71 7294[0:Rew:7293.1,2272.1] || tp__o(U) -> equal(ap(ap(c_2Ebool_2E_2F_5C,inj__o(U)),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2EF))**.
% 214.23/111.71 7305[0:Rew:40.0,7294.1] || tp__o(U) -> equal(ap(ap(c_2Ebool_2E_2F_5C,inj__o(U)),c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.71 7370[0:Res:177.2,176.1] || tp__ty_2Erealax_2Ereal(U) tp__ty_2Erealax_2Ereal(V) p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(U)),inj__ty_2Erealax_2Ereal(V))))) mem(ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(U)),inj__ty_2Erealax_2Ereal(V))),arr(ty_2Erealax_2Ereal,bool)) mem(ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(U)),inj__ty_2Erealax_2Ereal(V))),arr(ty_2Erealax_2Ereal,bool))* -> p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(U)),inj__ty_2Erealax_2Ereal(V))))).
% 214.23/111.71 7373[0:MRR:7370.2,154.2] || tp__ty_2Erealax_2Ereal(U) tp__ty_2Erealax_2Ereal(V) mem(ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(U)),inj__ty_2Erealax_2Ereal(V))),arr(ty_2Erealax_2Ereal,bool)) mem(ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(U)),inj__ty_2Erealax_2Ereal(V))),arr(ty_2Erealax_2Ereal,bool))* -> p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(U)),inj__ty_2Erealax_2Ereal(V))))).
% 214.23/111.71 7449[0:SpR:1750.1,2273.1] || tp__o(U) tp__o(U) -> equal(fo__c_2Ebool_2ET,U) equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,U)))*.
% 214.23/111.71 7479[0:SpR:73.1,2273.1] || mem(U,bool) tp__o(surj__o(U)) -> equal(inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,surj__o(U))),ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),U))**.
% 214.23/111.71 7486[0:Obv:7449.0] || tp__o(U) -> equal(fo__c_2Ebool_2ET,U) equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,U)))*.
% 214.23/111.71 7487[0:Rew:7105.0,7486.2] || tp__o(U) -> equal(fo__c_2Ebool_2ET,U) equal(inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,U)),c_2Ebool_2EF)**.
% 214.23/111.71 7488[0:MRR:7479.1,39.0] || mem(U,bool) -> equal(inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,surj__o(U))),ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),U))**.
% 214.23/111.71 9453[4:Res:5249.2,4993.0] || del(bool) mem(c_2Ebool_2E_7E,arr(bool,bool))* -> .
% 214.23/111.71 9454(e)[4:MRR:9453.0,9453.1,30.0,42.0] || -> .
% 214.23/111.71 9456[4:Spt:9454.0,5238.1,5242.0] || equal(skf7(c_2Ebool_2E_7E,bool),c_2Ebool_2EF)** -> .
% 214.23/111.71 9457[4:Spt:9454.0,5238.0] || -> p(skf7(c_2Ebool_2E_7E,bool))*.
% 214.23/111.71 9527[5:Spt:4083.2] || -> mem(skf9(c_2Ebool_2E_7E,bool),bool)*.
% 214.23/111.71 9535(e)[5:Res:9527.0,1753.0] || -> equal(skf9(c_2Ebool_2E_7E,bool),c_2Ebool_2EF) equal(skf9(c_2Ebool_2E_7E,bool),c_2Ebool_2ET)**.
% 214.23/111.71 9546[6:Spt:9535.0] || -> equal(skf9(c_2Ebool_2E_7E,bool),c_2Ebool_2EF)**.
% 214.23/111.71 9555[6:SpL:9546.0,168.1] || del(U) p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) mem(V,U)* mem(c_2Ebool_2E_7E,arr(U,bool))* -> p(ap(c_2Ebool_2E_7E,V))*.
% 214.23/111.71 9556[6:Rew:5085.0,9555.1] || del(U) p(c_2Ebool_2ET) mem(V,U)* mem(c_2Ebool_2E_7E,arr(U,bool))* -> p(ap(c_2Ebool_2E_7E,V))*.
% 214.23/111.71 9557[6:MRR:9556.1,22.0] || del(U) mem(V,U)* mem(c_2Ebool_2E_7E,arr(U,bool))*+ -> p(ap(c_2Ebool_2E_7E,V))*.
% 214.23/111.71 10455[0:SpL:1645.2,2294.2] || tp__o(fo__c_2Ebool_2E_2F_5C(U,V))* tp__o(U) tp__o(V) p(c_2Ebool_2ET) -> equal(fo__c_2Ebool_2E_2F_5C(U,V),fo__c_2Ebool_2EF) p(inj__o(V)).
% 214.23/111.71 10493[0:Rew:1688.3,10455.0] || tp__o(fo__c_2Ebool_2ET) tp__o(U) tp__o(V) p(c_2Ebool_2ET) -> equal(fo__c_2Ebool_2E_2F_5C(U,V),fo__c_2Ebool_2EF)** p(inj__o(V)).
% 214.23/111.71 10494[0:MRR:10493.0,10493.3,27.0,22.0] || tp__o(U) tp__o(V) -> equal(fo__c_2Ebool_2E_2F_5C(U,V),fo__c_2Ebool_2EF)** p(inj__o(V)).
% 214.23/111.71 10692[0:SpR:2513.1,97.1] || mem(U,bool) tp__o(fo__c_2Emin_2E_3D_3D_3E(surj__o(U),fo__c_2Ebool_2EF)) -> equal(ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF)),inj__o(fo__c_2Ebool_2E_7E(fo__c_2Emin_2E_3D_3D_3E(surj__o(U),fo__c_2Ebool_2EF))))**.
% 214.23/111.71 10721[0:SpR:1678.1,2513.1] || mem(U,bool) -> equal(surj__o(U),fo__c_2Ebool_2EF) equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF),inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)))**.
% 214.23/111.71 10736(e)[0:Rew:40.0,10721.2,3341.0,10721.2] || mem(U,bool) -> equal(surj__o(U),fo__c_2Ebool_2EF) equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.71 11380[0:SpR:7488.1,7487.2] || mem(U,bool) tp__o(surj__o(U)) -> equal(surj__o(U),fo__c_2Ebool_2ET) equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),U),c_2Ebool_2EF)**.
% 214.23/111.71 11392[0:SpR:10494.2,7488.1] || tp__o(fo__c_2Ebool_2ET) tp__o(surj__o(U)) mem(U,bool) -> p(inj__o(surj__o(U))) equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),U),inj__o(fo__c_2Ebool_2EF))**.
% 214.23/111.71 11398[0:Rew:1678.0,11380.1] || mem(U,bool) tp__o(fo__c_2Ebool_2EF) -> equal(surj__o(U),fo__c_2Ebool_2ET) equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),U),c_2Ebool_2EF)**.
% 214.23/111.71 11399[0:MRR:11398.1,23.0] || mem(U,bool) -> equal(surj__o(U),fo__c_2Ebool_2ET) equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),U),c_2Ebool_2EF)**.
% 214.23/111.71 11411[0:Rew:40.0,11392.4,73.1,11392.3] || tp__o(fo__c_2Ebool_2ET) tp__o(surj__o(U)) mem(U,bool) -> p(U) equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),U),c_2Ebool_2EF)**.
% 214.23/111.71 11412[0:Rew:11399.1,11411.1] || tp__o(fo__c_2Ebool_2ET) tp__o(fo__c_2Ebool_2ET) mem(U,bool) -> p(U) equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),U),c_2Ebool_2EF)**.
% 214.23/111.71 11413[0:Obv:11412.0] || tp__o(fo__c_2Ebool_2ET) mem(U,bool) -> p(U) equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),U),c_2Ebool_2EF)**.
% 214.23/111.71 11414[0:MRR:11413.0,27.0] || mem(U,bool) -> p(U) equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),U),c_2Ebool_2EF)**.
% 214.23/111.71 11451[0:SpR:11414.2,2273.1] || mem(inj__o(U),bool) tp__o(U) -> p(inj__o(U)) equal(inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,U)),c_2Ebool_2EF)**.
% 214.23/111.71 11462[0:MRR:11451.0,59.1] || tp__o(U) -> p(inj__o(U)) equal(inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,U)),c_2Ebool_2EF)**.
% 214.23/111.71 12029[0:Res:59.1,5265.1] || tp__o(U)+ tp__o(V) -> p(inj__o(V))* p(inj__o(U))* equal(inj__o(V),inj__o(U))*.
% 214.23/111.71 14495[0:SpL:1645.2,3298.3] || tp__o(fo__c_2Emin_2E_3D_3D_3E(U,V))* tp__o(U) tp__o(V) p(inj__o(U)) p(c_2Ebool_2ET) -> equal(fo__c_2Emin_2E_3D_3D_3E(U,V),fo__c_2Ebool_2EF) p(inj__o(V)).
% 214.23/111.71 14542[0:Rew:1686.3,14495.0] || tp__o(fo__c_2Ebool_2ET) tp__o(U) tp__o(V) p(inj__o(U)) p(c_2Ebool_2ET) -> equal(fo__c_2Emin_2E_3D_3D_3E(U,V),fo__c_2Ebool_2EF)** p(inj__o(V)).
% 214.23/111.71 14543(e)[0:MRR:14542.0,14542.4,27.0,22.0] || tp__o(U) tp__o(V) p(inj__o(U)) -> equal(fo__c_2Emin_2E_3D_3D_3E(U,V),fo__c_2Ebool_2EF)** p(inj__o(V)).
% 214.23/111.71 15802[0:SpR:73.1,2070.2] || mem(U,bool) mem(V,bool) tp__o(surj__o(U)) -> equal(inj__o(fo__c_2Emin_2E_3D_3D_3E(surj__o(U),surj__o(V))),ap(ap(c_2Emin_2E_3D_3D_3E,U),V))**.
% 214.23/111.71 15819[0:MRR:15802.2,39.0] || mem(U,bool) mem(V,bool) -> equal(inj__o(fo__c_2Emin_2E_3D_3D_3E(surj__o(U),surj__o(V))),ap(ap(c_2Emin_2E_3D_3D_3E,U),V))**.
% 214.23/111.71 20033[6:Res:42.0,9557.2] || del(bool) mem(U,bool) -> p(ap(c_2Ebool_2E_7E,U))*.
% 214.23/111.71 20034[6:MRR:20033.0,30.0] || mem(U,bool) -> p(ap(c_2Ebool_2E_7E,U))*.
% 214.23/111.71 20105[6:SpR:417.0,20034.1] || mem(c_2Ebool_2ET,bool)* -> p(c_2Ebool_2EF).
% 214.23/111.71 20117(e)[6:MRR:20105.0,20105.1,36.0,34.0] || -> .
% 214.23/111.71 21233[6:Spt:20117.0,9535.0,9546.0] || equal(skf9(c_2Ebool_2E_7E,bool),c_2Ebool_2EF)** -> .
% 214.23/111.71 21234[6:Spt:20117.0,9535.1] || -> equal(skf9(c_2Ebool_2E_7E,bool),c_2Ebool_2ET)**.
% 214.23/111.71 22456[0:SpR:145.2,134.3] || tp__o(U) tp__o(V) p(inj__o(U)) mem(inj__o(U),bool) mem(inj__o(V),bool) -> p(inj__o(fo__c_2Ebool_2E_5C_2F(U,V)))*.
% 214.23/111.71 22528(e)[0:MRR:22456.3,22456.4,59.1,59.1] || tp__o(U) tp__o(V) p(inj__o(U)) -> p(inj__o(fo__c_2Ebool_2E_5C_2F(U,V)))*.
% 214.23/111.71 22958[7:Spt:4113.2] || -> mem(skf8(c_2Ebool_2E_7E,bool),bool)*.
% 214.23/111.71 22965(e)[7:Res:22958.0,1753.0] || -> equal(skf8(c_2Ebool_2E_7E,bool),c_2Ebool_2EF) equal(skf8(c_2Ebool_2E_7E,bool),c_2Ebool_2ET)**.
% 214.23/111.71 22976[8:Spt:22965.0] || -> equal(skf8(c_2Ebool_2E_7E,bool),c_2Ebool_2EF)**.
% 214.23/111.71 22988[8:SpL:22976.0,169.1] || del(U) p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) mem(V,U)* mem(c_2Ebool_2E_7E,arr(U,bool))* -> p(ap(c_2Ebool_2E_7E,V))*.
% 214.23/111.71 22989[8:Rew:5085.0,22988.1] || del(U) p(c_2Ebool_2ET) mem(V,U)* mem(c_2Ebool_2E_7E,arr(U,bool))* -> p(ap(c_2Ebool_2E_7E,V))*.
% 214.23/111.71 22990[8:MRR:22989.1,22.0] || del(U) mem(V,U)* mem(c_2Ebool_2E_7E,arr(U,bool))*+ -> p(ap(c_2Ebool_2E_7E,V))*.
% 214.23/111.71 30547[0:Res:56.0,7146.2] || del(bool) del(arr(bool,bool)) -> equal(c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E) mem(skf5(bool,U,V),bool)*.
% 214.23/111.71 30548[0:Res:55.0,7146.2] || del(bool) del(arr(bool,bool)) -> equal(c_2Emin_2E_3D(bool),c_2Ebool_2E_5C_2F) mem(skf5(bool,U,V),bool)*.
% 214.23/111.71 30549[0:Res:54.0,7146.2] || del(bool) del(arr(bool,bool)) -> equal(c_2Emin_2E_3D(bool),c_2Ebool_2E_2F_5C) mem(skf5(bool,U,V),bool)*.
% 214.23/111.71 32417[8:Res:42.0,22990.2] || del(bool) mem(U,bool) -> p(ap(c_2Ebool_2E_7E,U))*.
% 214.23/111.71 32418[8:MRR:32417.0,30.0] || mem(U,bool) -> p(ap(c_2Ebool_2E_7E,U))*.
% 214.23/111.71 32470[8:SpR:417.0,32418.1] || mem(c_2Ebool_2ET,bool)* -> p(c_2Ebool_2EF).
% 214.23/111.71 32482(e)[8:MRR:32470.0,32470.1,36.0,34.0] || -> .
% 214.23/111.71 33617[8:Spt:32482.0,22965.0,22976.0] || equal(skf8(c_2Ebool_2E_7E,bool),c_2Ebool_2EF)** -> .
% 214.23/111.71 33618[8:Spt:32482.0,22965.1] || -> equal(skf8(c_2Ebool_2E_7E,bool),c_2Ebool_2ET)**.
% 214.23/111.71 33626[0:MRR:30547.0,30.0] || del(arr(bool,bool)) -> equal(c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E) mem(skf5(bool,U,V),bool)*.
% 214.23/111.71 33627[0:Rew:33626.1,30548.2] || del(bool) del(arr(bool,bool)) -> equal(c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_5C_2F) mem(skf5(bool,U,V),bool)*.
% 214.23/111.71 33628[0:MRR:33627.0,30.0] || del(arr(bool,bool)) -> equal(c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_5C_2F) mem(skf5(bool,U,V),bool)*.
% 214.23/111.71 33629[0:Rew:33628.1,33626.1] || del(arr(bool,bool)) -> equal(c_2Emin_2E_3D(bool),c_2Ebool_2E_5C_2F) mem(skf5(bool,U,V),bool)*.
% 214.23/111.71 33630[0:Rew:33629.1,30549.2] || del(bool) del(arr(bool,bool)) -> equal(c_2Ebool_2E_5C_2F,c_2Ebool_2E_2F_5C) mem(skf5(bool,U,V),bool)*.
% 214.23/111.71 33631(e)[0:MRR:33630.0,30.0] || del(arr(bool,bool)) -> equal(c_2Ebool_2E_5C_2F,c_2Ebool_2E_2F_5C) mem(skf5(bool,U,V),bool)*.
% 214.23/111.71 33641(e)[9:Spt:33631.1] || -> equal(c_2Ebool_2E_5C_2F,c_2Ebool_2E_2F_5C)**.
% 214.23/111.71 33706[9:Rew:33641.0,4787.1] || tp__o(U) -> equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),inj__o(U)),c_2Ebool_2ET)**.
% 214.23/111.71 33714[9:Rew:33641.0,2192.1] || tp__o(U) -> equal(ap(ap(c_2Ebool_2E_2F_5C,inj__o(U)),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2E_5C_2F(U,fo__c_2Ebool_2EF)))**.
% 214.23/111.71 33715[9:Rew:33641.0,145.2] || tp__o(U) tp__o(V) -> equal(ap(ap(c_2Ebool_2E_2F_5C,inj__o(U)),inj__o(V)),inj__o(fo__c_2Ebool_2E_5C_2F(U,V)))**.
% 214.23/111.71 34085(e)[9:Rew:2273.1,33706.1] || tp__o(U) -> equal(inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,U)),c_2Ebool_2ET)**.
% 214.23/111.71 34091[9:Rew:34085.1,11462.2] || tp__o(U) -> p(inj__o(U))* equal(c_2Ebool_2ET,c_2Ebool_2EF).
% 214.23/111.71 34094[9:MRR:34091.2,5087.0] || tp__o(U) -> p(inj__o(U))*.
% 214.23/111.71 34114[9:MRR:22528.2,34094.1] || tp__o(U) tp__o(V) -> p(inj__o(fo__c_2Ebool_2E_5C_2F(U,V)))*.
% 214.23/111.71 34231(e)[9:Rew:7305.1,33714.1] || tp__o(U) -> equal(inj__o(fo__c_2Ebool_2E_5C_2F(U,fo__c_2Ebool_2EF)),c_2Ebool_2EF)**.
% 214.23/111.71 34232[9:Rew:34231.1,4059.2] || tp__o(U) -> equal(inj__o(U),c_2Ebool_2EF)** equal(c_2Ebool_2ET,c_2Ebool_2EF).
% 214.23/111.71 34238(e)[9:MRR:34232.2,5087.0] || tp__o(U) -> equal(inj__o(U),c_2Ebool_2EF)**.
% 214.23/111.71 34359[9:Rew:34238.1,33715.2,34238.1,33715.2] || tp__o(U) tp__o(V) -> equal(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2E_5C_2F(U,V)))*.
% 214.23/111.71 34360(e)[9:Rew:7125.0,34359.2] || tp__o(U) tp__o(V) -> equal(inj__o(fo__c_2Ebool_2E_5C_2F(U,V)),c_2Ebool_2EF)**.
% 214.23/111.71 34361[9:Rew:34360.2,34114.2] || tp__o(U)* tp__o(V)* -> p(c_2Ebool_2EF)*.
% 214.23/111.71 34362[9:Con:34361.1] || tp__o(U)* -> p(c_2Ebool_2EF)*.
% 214.23/111.71 34363[9:MRR:34362.1,34.0] || tp__o(U)* -> .
% 214.23/111.71 34364(e)[9:UnC:34363.0,39.0] || -> .
% 214.23/111.71 34421[9:Spt:34364.0,33631.1,33641.0] || equal(c_2Ebool_2E_5C_2F,c_2Ebool_2E_2F_5C)** -> .
% 214.23/111.71 34422[9:Spt:34364.0,33631.0,33631.2] || del(arr(bool,bool)) -> mem(skf5(bool,U,V),bool)*.
% 214.23/111.71 34425[10:Spt:7142.2] || -> mem(skf5(bool,U,V),bool)*.
% 214.23/111.71 45130[0:Res:4018.4,156.3] || del(U) del(V) del(arr(U,ty_2Epair_2Eprod(V,U))) mem(W,V) del(U) del(ty_2Epair_2Eprod(V,U)) mem(X,U) -> mem(ap(ap(c_2Epair_2E_2C(V,U),W),X),ty_2Epair_2Eprod(V,U))*.
% 214.23/111.71 45133[0:Obv:45130.0] || del(U) del(arr(V,ty_2Epair_2Eprod(U,V))) mem(W,U) del(V) del(ty_2Epair_2Eprod(U,V)) mem(X,V) -> mem(ap(ap(c_2Epair_2E_2C(U,V),W),X),ty_2Epair_2Eprod(U,V))*.
% 214.23/111.71 45134[0:MRR:45133.1,45133.4,87.2,86.2] || del(U) mem(V,U) del(W) mem(X,W) -> mem(ap(ap(c_2Epair_2E_2C(U,W),V),X),ty_2Epair_2Eprod(U,W))*.
% 214.23/111.71 45363[0:Res:4005.3,203.3] || del(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) del(arr(ty_2Erealax_2Ereal,bool)) mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(skc7)),inj__ty_2Erealax_2Ereal(skc6)),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))* del(arr(ty_2Erealax_2Ereal,bool)) p(ap(c_2Ebool_2E_21(arr(ty_2Erealax_2Ereal,bool)),c_2Ereal__topology_2Ebounded__def)) mem(c_2Ereal__topology_2Ebounded__def,arr(arr(ty_2Erealax_2Ereal,bool),bool)) -> .
% 214.23/111.71 45364[0:Obv:45363.1] || del(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(skc7)),inj__ty_2Erealax_2Ereal(skc6)),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))* del(arr(ty_2Erealax_2Ereal,bool)) p(ap(c_2Ebool_2E_21(arr(ty_2Erealax_2Ereal,bool)),c_2Ereal__topology_2Ebounded__def)) mem(c_2Ereal__topology_2Ebounded__def,arr(arr(ty_2Erealax_2Ereal,bool),bool)) -> .
% 214.23/111.71 45507[0:Res:39.0,12029.0] || tp__o(U)+ -> p(inj__o(U))* p(inj__o(surj__o(V)))* equal(inj__o(U),inj__o(surj__o(V)))*.
% 214.23/111.71 45522[0:Res:23.0,45507.0] || -> p(inj__o(fo__c_2Ebool_2EF)) p(inj__o(surj__o(U)))* equal(inj__o(surj__o(U)),inj__o(fo__c_2Ebool_2EF)).
% 214.23/111.71 45524[0:Res:186.1,45507.0] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) -> p(inj__o(fo__c_2Ereal__topology_2Ecball(U,skc6)))* p(inj__o(surj__o(V)))* equal(inj__o(fo__c_2Ereal__topology_2Ecball(U,skc6)),inj__o(surj__o(V)))*.
% 214.23/111.71 45525[0:Res:196.1,45507.0] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) -> p(inj__o(fo__c_2Ereal__topology_2Ecball(U,skc7)))* p(inj__o(surj__o(V)))* equal(inj__o(fo__c_2Ereal__topology_2Ecball(U,skc7)),inj__o(surj__o(V)))*.
% 214.23/111.71 45526[0:Res:84.2,45507.0] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) tp__ty_2Erealax_2Ereal(V) -> p(inj__o(fo__c_2Ereal__topology_2Ecball(U,V)))* p(inj__o(surj__o(W)))* equal(inj__o(fo__c_2Ereal__topology_2Ecball(U,V)),inj__o(surj__o(W)))*.
% 214.23/111.71 45527[0:Res:187.1,45507.0] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) -> p(inj__o(fo__c_2Ereal__topology_2Eball(U,skc6)))* p(inj__o(surj__o(V)))* equal(inj__o(fo__c_2Ereal__topology_2Eball(U,skc6)),inj__o(surj__o(V)))*.
% 214.23/111.71 45528[0:Res:197.1,45507.0] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) -> p(inj__o(fo__c_2Ereal__topology_2Eball(U,skc7)))* p(inj__o(surj__o(V)))* equal(inj__o(fo__c_2Ereal__topology_2Eball(U,skc7)),inj__o(surj__o(V)))*.
% 214.23/111.71 45529[0:Res:85.2,45507.0] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) tp__ty_2Erealax_2Ereal(V) -> p(inj__o(fo__c_2Ereal__topology_2Eball(U,V)))* p(inj__o(surj__o(W)))* equal(inj__o(fo__c_2Ereal__topology_2Eball(U,V)),inj__o(surj__o(W)))*.
% 214.23/111.71 45531[0:Res:81.2,45507.0] || tp__o(U) tp__o(V) -> p(inj__o(fo__c_2Ebool_2E_2F_5C(U,V)))* p(inj__o(surj__o(W)))* equal(inj__o(fo__c_2Ebool_2E_2F_5C(U,V)),inj__o(surj__o(W)))*.
% 214.23/111.71 45532[0:Res:83.2,45507.0] || tp__o(U) tp__o(V) -> p(inj__o(fo__c_2Emin_2E_3D_3D_3E(U,V)))* p(inj__o(surj__o(W)))* equal(inj__o(fo__c_2Emin_2E_3D_3D_3E(U,V)),inj__o(surj__o(W)))*.
% 214.23/111.71 45533[0:Res:82.2,45507.0] || tp__o(U) tp__o(V) -> p(inj__o(fo__c_2Ebool_2E_5C_2F(U,V)))* p(inj__o(surj__o(W)))* equal(inj__o(fo__c_2Ebool_2E_5C_2F(U,V)),inj__o(surj__o(W)))*.
% 214.23/111.71 45535[0:Rew:40.0,45522.2,40.0,45522.0] || -> p(c_2Ebool_2EF) p(inj__o(surj__o(U)))* equal(inj__o(surj__o(U)),c_2Ebool_2EF).
% 214.23/111.71 45536[0:MRR:45535.0,34.0] || -> p(inj__o(surj__o(U)))* equal(inj__o(surj__o(U)),c_2Ebool_2EF).
% 214.23/111.71 45542[0:Rew:45536.1,45528.3] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) -> p(inj__o(fo__c_2Ereal__topology_2Eball(U,skc7)))* p(inj__o(surj__o(V)))* equal(inj__o(fo__c_2Ereal__topology_2Eball(U,skc7)),c_2Ebool_2EF).
% 214.23/111.71 45543[0:Rew:45536.1,45527.3] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) -> p(inj__o(fo__c_2Ereal__topology_2Eball(U,skc6)))* p(inj__o(surj__o(V)))* equal(inj__o(fo__c_2Ereal__topology_2Eball(U,skc6)),c_2Ebool_2EF).
% 214.23/111.71 45544[0:Rew:45536.1,45525.3] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) -> p(inj__o(fo__c_2Ereal__topology_2Ecball(U,skc7)))* p(inj__o(surj__o(V)))* equal(inj__o(fo__c_2Ereal__topology_2Ecball(U,skc7)),c_2Ebool_2EF).
% 214.23/111.71 45545[0:Rew:45536.1,45524.3] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) -> p(inj__o(fo__c_2Ereal__topology_2Ecball(U,skc6)))* p(inj__o(surj__o(V)))* equal(inj__o(fo__c_2Ereal__topology_2Ecball(U,skc6)),c_2Ebool_2EF).
% 214.23/111.71 45546[0:Rew:45536.1,45533.4] || tp__o(U) tp__o(V) -> p(inj__o(fo__c_2Ebool_2E_5C_2F(U,V)))* p(inj__o(surj__o(W)))* equal(inj__o(fo__c_2Ebool_2E_5C_2F(U,V)),c_2Ebool_2EF).
% 214.23/111.71 45547[0:Rew:45536.1,45532.4] || tp__o(U) tp__o(V) -> p(inj__o(fo__c_2Emin_2E_3D_3D_3E(U,V)))* p(inj__o(surj__o(W)))* equal(inj__o(fo__c_2Emin_2E_3D_3D_3E(U,V)),c_2Ebool_2EF).
% 214.23/111.71 45548[0:Rew:45536.1,45531.4] || tp__o(U) tp__o(V) -> p(inj__o(fo__c_2Ebool_2E_2F_5C(U,V)))* p(inj__o(surj__o(W)))* equal(inj__o(fo__c_2Ebool_2E_2F_5C(U,V)),c_2Ebool_2EF).
% 214.23/111.71 45549[0:Rew:45536.1,45529.4] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) tp__ty_2Erealax_2Ereal(V) -> p(inj__o(fo__c_2Ereal__topology_2Eball(U,V)))* p(inj__o(surj__o(W)))* equal(inj__o(fo__c_2Ereal__topology_2Eball(U,V)),c_2Ebool_2EF).
% 214.23/111.71 45550[0:Rew:45536.1,45526.4] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) tp__ty_2Erealax_2Ereal(V) -> p(inj__o(fo__c_2Ereal__topology_2Ecball(U,V)))* p(inj__o(surj__o(W)))* equal(inj__o(fo__c_2Ereal__topology_2Ecball(U,V)),c_2Ebool_2EF).
% 214.23/111.71 45582[11:Spt:45542.2] || -> p(inj__o(surj__o(U)))*.
% 214.23/111.71 45586(e)[11:SpR:67.1,45582.0] || tp__o(U) -> p(inj__o(U))*.
% 214.23/111.71 45596[11:SpR:1750.1,45582.0] || tp__o(surj__o(U))* -> equal(surj__o(U),fo__c_2Ebool_2ET) p(c_2Ebool_2EF).
% 214.23/111.71 45597(e)[11:SpR:73.1,45582.0] || mem(U,bool)* -> p(U).
% 214.23/111.71 45608[11:MRR:574.0,45586.1] || tp__o(U) -> equal(inj__o(fo__c_2Ebool_2E_7E(U)),c_2Ebool_2EF)**.
% 214.23/111.71 45693(e)[11:MRR:5714.1,45597.1] || mem(U,bool)* -> equal(surj__o(U),fo__c_2Ebool_2ET).
% 214.23/111.71 45761[11:Rew:45608.1,10692.2] || mem(U,bool) tp__o(fo__c_2Emin_2E_3D_3D_3E(surj__o(U),fo__c_2Ebool_2EF)) -> equal(ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF)),c_2Ebool_2EF)**.
% 214.23/111.71 45772[11:Rew:45693.1,10736.1] || mem(U,bool) -> equal(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF) equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.71 46073[11:Rew:1678.0,45596.0] || tp__o(fo__c_2Ebool_2EF) -> equal(surj__o(U),fo__c_2Ebool_2ET)** p(c_2Ebool_2EF).
% 214.23/111.71 46074(e)[11:MRR:46073.0,46073.2,23.0,34.0] || -> equal(surj__o(U),fo__c_2Ebool_2ET)**.
% 214.23/111.71 46126(e)[11:MRR:45772.1,5631.0] || mem(U,bool) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.71 46288[11:Rew:46126.1,45761.2,46074.0,45761.1] || mem(U,bool)* tp__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF))* -> equal(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),c_2Ebool_2EF).
% 214.23/111.71 46289[11:Rew:5085.0,46288.2,3341.0,46288.1] || mem(U,bool)* tp__o(fo__c_2Ebool_2EF) -> equal(c_2Ebool_2ET,c_2Ebool_2EF).
% 214.23/111.71 46290[11:MRR:46289.1,46289.2,23.0,5087.0] || mem(U,bool)* -> .
% 214.23/111.71 46291(e)[11:UnC:46290.0,34425.0] || -> .
% 214.23/111.71 46843[11:Spt:46291.0,45542.0,45542.1,45542.3] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) -> p(inj__o(fo__c_2Ereal__topology_2Eball(U,skc7)))* equal(inj__o(fo__c_2Ereal__topology_2Eball(U,skc7)),c_2Ebool_2EF).
% 214.23/111.71 46846(e)[0:MRR:45364.4,57.0] || del(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(skc7)),inj__ty_2Erealax_2Ereal(skc6)),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))* del(arr(ty_2Erealax_2Ereal,bool)) p(ap(c_2Ebool_2E_21(arr(ty_2Erealax_2Ereal,bool)),c_2Ereal__topology_2Ebounded__def)) -> .
% 214.23/111.71 46915[12:Spt:45543.2] || -> p(inj__o(surj__o(U)))*.
% 214.23/111.71 46918[12:SpR:253.0,46915.0] || -> p(inj__o(fo__c_2Ebool_2EF))*.
% 214.23/111.71 46923[12:Rew:40.0,46918.0] || -> p(c_2Ebool_2EF)*.
% 214.23/111.71 46924(e)[12:MRR:46923.0,34.0] || -> .
% 214.23/111.71 47173[12:Spt:46924.0,45543.0,45543.1,45543.3] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) -> p(inj__o(fo__c_2Ereal__topology_2Eball(U,skc6)))* equal(inj__o(fo__c_2Ereal__topology_2Eball(U,skc6)),c_2Ebool_2EF).
% 214.23/111.71 47214[13:Spt:45544.2] || -> p(inj__o(surj__o(U)))*.
% 214.23/111.71 47217[13:SpR:253.0,47214.0] || -> p(inj__o(fo__c_2Ebool_2EF))*.
% 214.23/111.71 47222[13:Rew:40.0,47217.0] || -> p(c_2Ebool_2EF)*.
% 214.23/111.71 47223(e)[13:MRR:47222.0,34.0] || -> .
% 214.23/111.71 47468[13:Spt:47223.0,45544.0,45544.1,45544.3] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) -> p(inj__o(fo__c_2Ereal__topology_2Ecball(U,skc7)))* equal(inj__o(fo__c_2Ereal__topology_2Ecball(U,skc7)),c_2Ebool_2EF).
% 214.23/111.71 47505[14:Spt:45545.2] || -> p(inj__o(surj__o(U)))*.
% 214.23/111.71 47508[14:SpR:253.0,47505.0] || -> p(inj__o(fo__c_2Ebool_2EF))*.
% 214.23/111.71 47513[14:Rew:40.0,47508.0] || -> p(c_2Ebool_2EF)*.
% 214.23/111.71 47514(e)[14:MRR:47513.0,34.0] || -> .
% 214.23/111.71 47763[14:Spt:47514.0,45545.0,45545.1,45545.3] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) -> p(inj__o(fo__c_2Ereal__topology_2Ecball(U,skc6)))* equal(inj__o(fo__c_2Ereal__topology_2Ecball(U,skc6)),c_2Ebool_2EF).
% 214.23/111.71 47829[15:Spt:45546.3] || -> p(inj__o(surj__o(U)))*.
% 214.23/111.71 47833(e)[15:SpR:67.1,47829.0] || tp__o(U) -> p(inj__o(U))*.
% 214.23/111.71 47836(e)[15:SpR:73.1,47829.0] || mem(U,bool)* -> p(U).
% 214.23/111.71 47846[15:MRR:574.0,47833.1] || tp__o(U) -> equal(inj__o(fo__c_2Ebool_2E_7E(U)),c_2Ebool_2EF)**.
% 214.23/111.71 47930(e)[15:MRR:5714.1,47836.1] || mem(U,bool)* -> equal(surj__o(U),fo__c_2Ebool_2ET).
% 214.23/111.71 47979[15:Rew:47846.1,10692.2] || mem(U,bool) tp__o(fo__c_2Emin_2E_3D_3D_3E(surj__o(U),fo__c_2Ebool_2EF)) -> equal(ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF)),c_2Ebool_2EF)**.
% 214.23/111.71 48069[15:Rew:47930.1,10736.1] || mem(U,bool) -> equal(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF) equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.71 48331(e)[15:MRR:48069.1,5631.0] || mem(U,bool) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.71 48490[15:Rew:48331.1,47979.2,47930.1,47979.1] || mem(U,bool)* tp__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF))* -> equal(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),c_2Ebool_2EF).
% 214.23/111.71 48491[15:Rew:5085.0,48490.2,3341.0,48490.1] || mem(U,bool)* tp__o(fo__c_2Ebool_2EF) -> equal(c_2Ebool_2ET,c_2Ebool_2EF).
% 214.23/111.71 48492[15:MRR:48491.1,48491.2,23.0,5087.0] || mem(U,bool)* -> .
% 214.23/111.71 48493(e)[15:UnC:48492.0,34425.0] || -> .
% 214.23/111.71 49065[15:Spt:48493.0,45546.0,45546.1,45546.2,45546.4] || tp__o(U) tp__o(V) -> p(inj__o(fo__c_2Ebool_2E_5C_2F(U,V)))* equal(inj__o(fo__c_2Ebool_2E_5C_2F(U,V)),c_2Ebool_2EF).
% 214.23/111.71 49170[16:Spt:45550.3] || -> p(inj__o(surj__o(U)))*.
% 214.23/111.71 49174(e)[16:SpR:67.1,49170.0] || tp__o(U) -> p(inj__o(U))*.
% 214.23/111.71 49177(e)[16:SpR:73.1,49170.0] || mem(U,bool)* -> p(U).
% 214.23/111.71 49181[16:MRR:574.0,49174.1] || tp__o(U) -> equal(inj__o(fo__c_2Ebool_2E_7E(U)),c_2Ebool_2EF)**.
% 214.23/111.71 49292(e)[16:MRR:5714.1,49177.1] || mem(U,bool)* -> equal(surj__o(U),fo__c_2Ebool_2ET).
% 214.23/111.71 49317[16:Rew:49181.1,10692.2] || mem(U,bool) tp__o(fo__c_2Emin_2E_3D_3D_3E(surj__o(U),fo__c_2Ebool_2EF)) -> equal(ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF)),c_2Ebool_2EF)**.
% 214.23/111.71 49404[16:Rew:49292.1,10736.1] || mem(U,bool) -> equal(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF) equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.71 49672(e)[16:MRR:49404.1,5631.0] || mem(U,bool) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.71 49835[16:Rew:49672.1,49317.2,49292.1,49317.1] || mem(U,bool)* tp__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF))* -> equal(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),c_2Ebool_2EF).
% 214.23/111.71 49836[16:Rew:5085.0,49835.2,3341.0,49835.1] || mem(U,bool)* tp__o(fo__c_2Ebool_2EF) -> equal(c_2Ebool_2ET,c_2Ebool_2EF).
% 214.23/111.71 49837[16:MRR:49836.1,49836.2,23.0,5087.0] || mem(U,bool)* -> .
% 214.23/111.71 49838(e)[16:UnC:49837.0,34425.0] || -> .
% 214.23/111.71 50413[16:Spt:49838.0,45550.0,45550.1,45550.2,45550.4] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) tp__ty_2Erealax_2Ereal(V) -> p(inj__o(fo__c_2Ereal__topology_2Ecball(U,V)))* equal(inj__o(fo__c_2Ereal__topology_2Ecball(U,V)),c_2Ebool_2EF).
% 214.23/111.71 50482[17:Spt:45547.3] || -> p(inj__o(surj__o(U)))*.
% 214.23/111.71 50486(e)[17:SpR:67.1,50482.0] || tp__o(U) -> p(inj__o(U))*.
% 214.23/111.71 50489(e)[17:SpR:73.1,50482.0] || mem(U,bool)* -> p(U).
% 214.23/111.71 50499[17:MRR:574.0,50486.1] || tp__o(U) -> equal(inj__o(fo__c_2Ebool_2E_7E(U)),c_2Ebool_2EF)**.
% 214.23/111.71 50604(e)[17:MRR:5714.1,50489.1] || mem(U,bool)* -> equal(surj__o(U),fo__c_2Ebool_2ET).
% 214.23/111.71 50632[17:Rew:50499.1,10692.2] || mem(U,bool) tp__o(fo__c_2Emin_2E_3D_3D_3E(surj__o(U),fo__c_2Ebool_2EF)) -> equal(ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF)),c_2Ebool_2EF)**.
% 214.23/111.71 50716[17:Rew:50604.1,10736.1] || mem(U,bool) -> equal(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF) equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.71 50984(e)[17:MRR:50716.1,5631.0] || mem(U,bool) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.71 51143[17:Rew:50984.1,50632.2,50604.1,50632.1] || mem(U,bool)* tp__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF))* -> equal(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),c_2Ebool_2EF).
% 214.23/111.71 51144[17:Rew:5085.0,51143.2,3341.0,51143.1] || mem(U,bool)* tp__o(fo__c_2Ebool_2EF) -> equal(c_2Ebool_2ET,c_2Ebool_2EF).
% 214.23/111.71 51145[17:MRR:51144.1,51144.2,23.0,5087.0] || mem(U,bool)* -> .
% 214.23/111.71 51146(e)[17:UnC:51145.0,34425.0] || -> .
% 214.23/111.71 51718[17:Spt:51146.0,45547.0,45547.1,45547.2,45547.4] || tp__o(U) tp__o(V) -> p(inj__o(fo__c_2Emin_2E_3D_3D_3E(U,V)))* equal(inj__o(fo__c_2Emin_2E_3D_3D_3E(U,V)),c_2Ebool_2EF).
% 214.23/111.71 51817[18:Spt:45549.3] || -> p(inj__o(surj__o(U)))*.
% 214.23/111.71 51821(e)[18:SpR:67.1,51817.0] || tp__o(U) -> p(inj__o(U))*.
% 214.23/111.71 51824(e)[18:SpR:73.1,51817.0] || mem(U,bool)* -> p(U).
% 214.23/111.71 51828[18:MRR:574.0,51821.1] || tp__o(U) -> equal(inj__o(fo__c_2Ebool_2E_7E(U)),c_2Ebool_2EF)**.
% 214.23/111.71 51939(e)[18:MRR:5714.1,51824.1] || mem(U,bool)* -> equal(surj__o(U),fo__c_2Ebool_2ET).
% 214.23/111.71 51964[18:Rew:51828.1,10692.2] || mem(U,bool) tp__o(fo__c_2Emin_2E_3D_3D_3E(surj__o(U),fo__c_2Ebool_2EF)) -> equal(ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF)),c_2Ebool_2EF)**.
% 214.23/111.71 52051[18:Rew:51939.1,10736.1] || mem(U,bool) -> equal(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF) equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.71 52319(e)[18:MRR:52051.1,5631.0] || mem(U,bool) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.71 52482[18:Rew:52319.1,51964.2,51939.1,51964.1] || mem(U,bool)* tp__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF))* -> equal(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),c_2Ebool_2EF).
% 214.23/111.71 52483[18:Rew:5085.0,52482.2,3341.0,52482.1] || mem(U,bool)* tp__o(fo__c_2Ebool_2EF) -> equal(c_2Ebool_2ET,c_2Ebool_2EF).
% 214.23/111.71 52484[18:MRR:52483.1,52483.2,23.0,5087.0] || mem(U,bool)* -> .
% 214.23/111.71 52485(e)[18:UnC:52484.0,34425.0] || -> .
% 214.23/111.71 53060[18:Spt:52485.0,45549.0,45549.1,45549.2,45549.4] || tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U) tp__ty_2Erealax_2Ereal(V) -> p(inj__o(fo__c_2Ereal__topology_2Eball(U,V)))* equal(inj__o(fo__c_2Ereal__topology_2Eball(U,V)),c_2Ebool_2EF).
% 214.23/111.72 53129[19:Spt:45548.3] || -> p(inj__o(surj__o(U)))*.
% 214.23/111.72 53133(e)[19:SpR:67.1,53129.0] || tp__o(U) -> p(inj__o(U))*.
% 214.23/111.72 53136(e)[19:SpR:73.1,53129.0] || mem(U,bool)* -> p(U).
% 214.23/111.72 53146[19:MRR:574.0,53133.1] || tp__o(U) -> equal(inj__o(fo__c_2Ebool_2E_7E(U)),c_2Ebool_2EF)**.
% 214.23/111.72 53251(e)[19:MRR:5714.1,53136.1] || mem(U,bool)* -> equal(surj__o(U),fo__c_2Ebool_2ET).
% 214.23/111.72 53279[19:Rew:53146.1,10692.2] || mem(U,bool) tp__o(fo__c_2Emin_2E_3D_3D_3E(surj__o(U),fo__c_2Ebool_2EF)) -> equal(ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF)),c_2Ebool_2EF)**.
% 214.23/111.72 53363[19:Rew:53251.1,10736.1] || mem(U,bool) -> equal(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF) equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.72 53631(e)[19:MRR:53363.1,5631.0] || mem(U,bool) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.72 53790[19:Rew:53631.1,53279.2,53251.1,53279.1] || mem(U,bool)* tp__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF))* -> equal(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),c_2Ebool_2EF).
% 214.23/111.72 53791[19:Rew:5085.0,53790.2,3341.0,53790.1] || mem(U,bool)* tp__o(fo__c_2Ebool_2EF) -> equal(c_2Ebool_2ET,c_2Ebool_2EF).
% 214.23/111.72 53792[19:MRR:53791.1,53791.2,23.0,5087.0] || mem(U,bool)* -> .
% 214.23/111.72 53793(e)[19:UnC:53792.0,34425.0] || -> .
% 214.23/111.72 54365[19:Spt:53793.0,45548.0,45548.1,45548.2,45548.4] || tp__o(U) tp__o(V) -> p(inj__o(fo__c_2Ebool_2E_2F_5C(U,V)))* equal(inj__o(fo__c_2Ebool_2E_2F_5C(U,V)),c_2Ebool_2EF).
% 214.23/111.72 63462[20:Spt:2895.0,2895.1] || del(arr(ty_2Erealax_2Ereal,bool)) -> p(ap(c_2Ebool_2E_21(arr(ty_2Erealax_2Ereal,bool)),c_2Ereal__topology_2Ebounded__def))*.
% 214.23/111.72 63463[20:MRR:46846.3,63462.1] || del(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(skc7)),inj__ty_2Erealax_2Ereal(skc6)),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))* del(arr(ty_2Erealax_2Ereal,bool)) -> .
% 214.23/111.72 69592[0:SpR:14543.3,2513.1] || tp__o(surj__o(U)) tp__o(fo__c_2Ebool_2EF) p(inj__o(surj__o(U))) mem(U,bool) -> p(inj__o(fo__c_2Ebool_2EF)) equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF),inj__o(fo__c_2Ebool_2EF))**.
% 214.23/111.72 94360[0:Res:4006.3,7373.3] || del(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) del(arr(ty_2Erealax_2Ereal,bool)) mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(U)),inj__ty_2Erealax_2Ereal(V)),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) tp__ty_2Erealax_2Ereal(U) tp__ty_2Erealax_2Ereal(V) mem(ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(U)),inj__ty_2Erealax_2Ereal(V))),arr(ty_2Erealax_2Ereal,bool))* -> p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(U)),inj__ty_2Erealax_2Ereal(V))))).
% 214.23/111.72 98529[3:SpR:5720.2,15819.2] || tp__o(U) p(inj__o(fo__c_2Ebool_2E_7E(U))) mem(V,bool) mem(inj__o(fo__c_2Ebool_2E_7E(U)),bool) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,V),inj__o(fo__c_2Ebool_2E_7E(U))),inj__o(fo__c_2Emin_2E_3D_3D_3E(surj__o(V),fo__c_2Ebool_2ET)))**.
% 214.23/111.72 98703[3:Rew:2439.1,98529.4] || tp__o(U) p(inj__o(fo__c_2Ebool_2E_7E(U))) mem(V,bool) mem(inj__o(fo__c_2Ebool_2E_7E(U)),bool) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,V),inj__o(fo__c_2Ebool_2E_7E(U))),c_2Ebool_2ET)**.
% 214.23/111.72 98704[3:MRR:98703.3,5216.1] || tp__o(U) p(inj__o(fo__c_2Ebool_2E_7E(U))) mem(V,bool) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,V),inj__o(fo__c_2Ebool_2E_7E(U))),c_2Ebool_2ET)**.
% 214.23/111.72 117376[20:Res:45134.4,63463.1] || del(ty_2Erealax_2Ereal) mem(inj__ty_2Erealax_2Ereal(skc7),ty_2Erealax_2Ereal)* del(ty_2Erealax_2Ereal) mem(inj__ty_2Erealax_2Ereal(skc6),ty_2Erealax_2Ereal) del(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) del(arr(ty_2Erealax_2Ereal,bool)) -> .
% 214.23/111.72 117378[20:Obv:117376.0] || mem(inj__ty_2Erealax_2Ereal(skc7),ty_2Erealax_2Ereal)* del(ty_2Erealax_2Ereal) mem(inj__ty_2Erealax_2Ereal(skc6),ty_2Erealax_2Ereal) del(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) del(arr(ty_2Erealax_2Ereal,bool)) -> .
% 214.23/111.72 117379[20:MRR:117378.0,117378.1,117378.2,199.0,26.0,189.0] || del(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))* del(arr(ty_2Erealax_2Ereal,bool)) -> .
% 214.23/111.72 117385[20:Res:86.2,117379.0] || del(ty_2Erealax_2Ereal) del(ty_2Erealax_2Ereal) del(arr(ty_2Erealax_2Ereal,bool))* -> .
% 214.23/111.72 117386[20:Obv:117385.0] || del(ty_2Erealax_2Ereal) del(arr(ty_2Erealax_2Ereal,bool))* -> .
% 214.23/111.72 117387[20:MRR:117386.0,26.0] || del(arr(ty_2Erealax_2Ereal,bool))* -> .
% 214.23/111.72 117388[20:Res:87.2,117387.0] || del(ty_2Erealax_2Ereal)* del(bool) -> .
% 214.23/111.72 117389(e)[20:MRR:117388.0,117388.1,26.0,30.0] || -> .
% 214.23/111.72 117390[20:Spt:117389.0,2895.1,63462.1] || p(ap(c_2Ebool_2E_21(arr(ty_2Erealax_2Ereal,bool)),c_2Ereal__topology_2Ebounded__def))* -> .
% 214.23/111.72 117391[20:Spt:117389.0,2895.0,63462.0] || -> del(arr(ty_2Erealax_2Ereal,bool))*.
% 214.23/111.72 117392[20:Spt:117389.0,2895.2] || -> mem(skf7(c_2Ereal__topology_2Ebounded__def,arr(ty_2Erealax_2Ereal,bool)),arr(ty_2Erealax_2Ereal,bool))*.
% 214.23/111.72 117397[20:MRR:4005.1,117391.0] || del(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) mem(U,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) -> mem(ap(c_2Ereal__topology_2Eball,U),arr(ty_2Erealax_2Ereal,bool))*.
% 214.23/111.72 117696[20:MRR:94360.1,94360.5,117391.0,117397.2] || del(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(U)),inj__ty_2Erealax_2Ereal(V)),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) tp__ty_2Erealax_2Ereal(U) tp__ty_2Erealax_2Ereal(V) -> p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(U)),inj__ty_2Erealax_2Ereal(V)))))*.
% 214.23/111.72 220646[20:Res:117696.4,121.0] || del(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(skc7)),inj__ty_2Erealax_2Ereal(skc6)),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))* tp__ty_2Erealax_2Ereal(skc7) tp__ty_2Erealax_2Ereal(skc6) -> .
% 214.23/111.72 220647[20:MRR:220646.2,220646.3,32.0,33.0] || del(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(skc7)),inj__ty_2Erealax_2Ereal(skc6)),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))* -> .
% 214.23/111.72 220652[20:Res:45134.4,220647.1] || del(ty_2Erealax_2Ereal) mem(inj__ty_2Erealax_2Ereal(skc7),ty_2Erealax_2Ereal)* del(ty_2Erealax_2Ereal) mem(inj__ty_2Erealax_2Ereal(skc6),ty_2Erealax_2Ereal) del(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) -> .
% 214.23/111.72 220653[20:Obv:220652.0] || mem(inj__ty_2Erealax_2Ereal(skc7),ty_2Erealax_2Ereal)* del(ty_2Erealax_2Ereal) mem(inj__ty_2Erealax_2Ereal(skc6),ty_2Erealax_2Ereal) del(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) -> .
% 214.23/111.72 220654[20:MRR:220653.0,220653.1,220653.2,199.0,26.0,189.0] || del(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))* -> .
% 214.23/111.72 220655[20:Res:86.2,220654.0] || del(ty_2Erealax_2Ereal)* del(ty_2Erealax_2Ereal)* -> .
% 214.23/111.72 220656[20:Obv:220655.0] || del(ty_2Erealax_2Ereal)* -> .
% 214.23/111.72 220657(e)[20:MRR:220656.0,26.0] || -> .
% 214.23/111.72 220658[10:Spt:220657.0,7142.0,7142.1] || mem(U,arr(bool,bool))* -> equal(c_2Ebool_2E_7E,U).
% 214.23/111.72 220736(e)[0:Rew:40.0,69592.5,40.0,69592.4,73.1,69592.2] || tp__o(surj__o(U)) tp__o(fo__c_2Ebool_2EF) p(U) mem(U,bool) -> p(c_2Ebool_2EF) equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.72 220737[3:Rew:5714.2,220736.0] || tp__o(fo__c_2Ebool_2ET) tp__o(fo__c_2Ebool_2EF) p(U) mem(U,bool) -> p(c_2Ebool_2EF) equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.72 220738(e)[3:MRR:220737.0,220737.1,220737.4,27.0,23.0,34.0] || p(U) mem(U,bool) -> equal(ap(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.72 220821[10:Res:4012.2,220658.0] || del(arr(bool,bool))*+ mem(U,bool) -> equal(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2E_7E)**.
% 214.23/111.72 264627[10:Res:87.2,220821.0] || del(bool) del(bool) mem(U,bool) -> equal(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2E_7E)**.
% 214.23/111.72 264628[10:Obv:264627.0] || del(bool) mem(U,bool) -> equal(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2E_7E)**.
% 214.23/111.72 264629(e)[10:MRR:264628.0,30.0] || mem(U,bool) -> equal(ap(c_2Emin_2E_3D_3D_3E,U),c_2Ebool_2E_7E)**.
% 214.23/111.72 264673[10:Rew:264629.1,220738.2] || p(U) mem(U,bool)* -> equal(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),c_2Ebool_2EF)**.
% 214.23/111.72 264777[10:Rew:264629.1,2065.2] || mem(U,bool) tp__o(V) -> equal(inj__o(fo__c_2Emin_2E_3D_3D_3E(surj__o(U),V)),ap(c_2Ebool_2E_7E,inj__o(V)))**.
% 214.23/111.72 264827[10:Rew:264629.1,98704.3] || tp__o(U) p(inj__o(fo__c_2Ebool_2E_7E(U))) mem(V,bool)* -> equal(ap(c_2Ebool_2E_7E,inj__o(fo__c_2Ebool_2E_7E(U))),c_2Ebool_2ET)**.
% 214.23/111.72 264844[10:Rew:5085.0,264673.2] || p(U) mem(U,bool)* -> equal(c_2Ebool_2ET,c_2Ebool_2EF).
% 214.23/111.72 264845(e)[10:MRR:264844.2,5087.0] || p(U) mem(U,bool)* -> .
% 214.23/111.72 264847(e)[10:MRR:543.2,264845.0] || mem(U,bool)* -> equal(surj__o(U),fo__c_2Ebool_2EF).
% 214.23/111.72 265952[10:Rew:97.1,264777.2] || mem(U,bool) tp__o(V) -> equal(inj__o(fo__c_2Emin_2E_3D_3D_3E(surj__o(U),V)),inj__o(fo__c_2Ebool_2E_7E(V)))**.
% 214.23/111.72 265953[10:Rew:264847.1,265952.2] || mem(U,bool)* tp__o(V) -> equal(inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,V)),inj__o(fo__c_2Ebool_2E_7E(V)))**.
% 214.23/111.72 265954(e)[10:Rew:41.0,265953.2,3116.1,265953.2] || mem(U,bool)* tp__o(V) -> equal(inj__o(fo__c_2Ebool_2E_7E(V)),c_2Ebool_2ET)**.
% 214.23/111.72 266044[10:Rew:265954.2,264827.3,265954.2,264827.1] || tp__o(U)* p(c_2Ebool_2ET) mem(V,bool)* -> equal(ap(c_2Ebool_2E_7E,c_2Ebool_2ET),c_2Ebool_2ET)**.
% 214.23/111.72 266045[10:Rew:417.0,266044.3] || tp__o(U)* p(c_2Ebool_2ET) mem(V,bool)* -> equal(c_2Ebool_2ET,c_2Ebool_2EF).
% 214.23/111.72 266046(e)[10:MRR:266045.1,266045.3,22.0,5087.0] || tp__o(U)* mem(V,bool)* -> .
% 214.23/111.72 266048[10:MRR:5216.1,266046.1] || tp__o(U)* -> .
% 214.23/111.72 266071(e)[10:UnC:266048.0,39.0] || -> .
% 214.23/111.72 266171(e)[7:Spt:266071.0,4113.2,22958.0] || mem(skf8(c_2Ebool_2E_7E,bool),bool)* -> .
% 214.23/111.72 266172[7:Spt:266071.0,4113.0,4113.1] || mem(U,bool) -> p(ap(c_2Ebool_2E_7E,U))*.
% 214.23/111.72 266946[7:SpR:417.0,266172.1] || mem(c_2Ebool_2ET,bool)* -> p(c_2Ebool_2EF).
% 214.23/111.72 266952(e)[7:MRR:266946.0,266946.1,36.0,34.0] || -> .
% 214.23/111.72 266987(e)[5:Spt:266952.0,4083.2,9527.0] || mem(skf9(c_2Ebool_2E_7E,bool),bool)* -> .
% 214.23/111.72 266988[5:Spt:266952.0,4083.0,4083.1] || mem(U,bool) -> p(ap(c_2Ebool_2E_7E,U))*.
% 214.23/111.72 267723[5:SpR:417.0,266988.1] || mem(c_2Ebool_2ET,bool)* -> p(c_2Ebool_2EF).
% 214.23/111.72 267729(e)[5:MRR:267723.0,267723.1,36.0,34.0] || -> .
% 214.23/111.72 267764[3:Spt:267729.0,4998.2,5085.0] || equal(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),c_2Ebool_2ET)** -> .
% 214.23/111.72 267765(e)[3:Spt:267729.0,4998.0,4998.1] || tp__o(U) -> equal(fo__c_2Ebool_2E_7E(U),fo__c_2Ebool_2EF)**.
% 214.23/111.72 267872[3:Rew:267765.1,5290.2] || tp__o(fo__c_2Ebool_2EF) -> p(c_2Ebool_2EF)* equal(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF).
% 214.23/111.72 267873(e)[3:MRR:267872.0,267872.1,23.0,34.0] || -> equal(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)**.
% 214.23/111.72 267875[3:Rew:267873.0,41.0] || -> equal(inj__o(fo__c_2Ebool_2EF),c_2Ebool_2ET)**.
% 214.23/111.72 268846(e)[3:Rew:40.0,267875.0] || -> equal(c_2Ebool_2ET,c_2Ebool_2EF)**.
% 214.23/111.72 268847[3:Rew:268846.0,22.0] || -> p(c_2Ebool_2EF)*.
% 214.23/111.72 269110(e)[3:MRR:268847.0,34.0] || -> .
% 214.23/111.72
% 214.23/111.72 % SZS output end CNFRefutation for /tmp/SPASST_24688_n023.cluster.edu
% 214.23/111.72
% 214.23/111.72 Formulae used in the proof : fof_ax_true_p fof_stp_fo_c_2Ebool_2EF fof_tp_ty_2Erealax_2Ereal fof_stp_fo_c_2Ebool_2ET fof_bool fof_conj_thm_2Ereal__topology_2EBOUNDED__BALL fof_ax_false_p fof_mem_c_2Ebool_2EF fof_mem_c_2Ebool_2ET fof_stp_surj_o fof_stp_eq_fo_c_2Ebool_2EF fof_stp_eq_fo_c_2Ebool_2ET fof_mem_c_2Ebool_2E_7E fof_stp_fo_c_2Ebool_2E_7E fof_mem_c_2Ebool_2E_2F_5C fof_mem_c_2Ebool_2E_5C_2F fof_mem_c_2Emin_2E_3D_3D_3E fof_mem_c_2Ereal__topology_2Ebounded__def fof_stp_inj_mem_ty_2Erealax_2Ereal fof_stp_inj_mem_o fof_stp_inj_surj_o fof_mem_c_2Ereal__topology_2Ecball fof_mem_c_2Ereal__topology_2Eball fof_stp_iso_mem_o fof_ax_neg_p fof_stp_fo_c_2Ebool_2E_2F_5C fof_stp_fo_c_2Ebool_2E_5C_2F fof_stp_fo_c_2Emin_2E_3D_3D_3E fof_stp_fo_c_2Ereal__topology_2Ecball fof_stp_fo_c_2Ereal__topology_2Eball fof_tp_ty_2Epair_2Eprod fof_arr fof_mem_c_2Emin_2E_3D fof_stp_eq_fo_c_2Ebool_2E_7E fof_boolext fof_ax_imp_p fof_ax_and_p fof_ax_or_p fof_mem_c_2Epair_2E_2C fof_stp_eq_fo_c_2Ebool_2E_2F_5C fof_stp_eq_fo_c_2Ebool_2E_5C_2F fof_stp_eq_fo_c_2Emin_2E_3D_3D_3E fof_ax_all_p fof_conj_thm_2Ereal__topology_2EBOUNDED__CBALL fof_ap_tp fof_conj_thm_2Ebool_2ENOT__FORALL__THM fof_funcext fof_conj_thm_2Ereal__topology_2EBOUNDED__SUBSET fof_conj_thm_2Ereal__topology_2EBALL__SUBSET__CBALL
% 300.09/197.62 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------