%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV910-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n021.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 : Wed Jul 20 21:40:37 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV910-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n021.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 : Thu Jun 16 03:57:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.42 ----- Otter 3.2, August 2001 -----
% 0.19/0.42 The process was started by sandbox2 on n021.cluster.edu,
% 0.19/0.42 Thu Jun 16 03:57:59 2022
% 0.19/0.42 The command was "./sos". The process ID is 23378.
% 0.19/0.42
% 0.19/0.42 set(prolog_style_variables).
% 0.19/0.42 set(auto).
% 0.19/0.42 dependent: set(auto1).
% 0.19/0.42 dependent: set(process_input).
% 0.19/0.42 dependent: clear(print_kept).
% 0.19/0.42 dependent: clear(print_new_demod).
% 0.19/0.42 dependent: clear(print_back_demod).
% 0.19/0.42 dependent: clear(print_back_sub).
% 0.19/0.42 dependent: set(control_memory).
% 0.19/0.42 dependent: assign(max_mem, 12000).
% 0.19/0.42 dependent: assign(pick_given_ratio, 4).
% 0.19/0.42 dependent: assign(stats_level, 1).
% 0.19/0.42 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.42 dependent: assign(sos_limit, 5000).
% 0.19/0.42 dependent: assign(max_weight, 60).
% 0.19/0.42 clear(print_given).
% 0.19/0.42
% 0.19/0.42 list(usable).
% 0.19/0.42
% 0.19/0.42 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.19/0.42
% 0.19/0.42 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.42 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.42 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.42 clauses in usable.
% 0.19/0.42
% 0.19/0.42 dependent: set(knuth_bendix).
% 0.19/0.42 dependent: set(para_from).
% 0.19/0.42 dependent: set(para_into).
% 0.19/0.42 dependent: clear(para_from_right).
% 0.19/0.42 dependent: clear(para_into_right).
% 0.19/0.42 dependent: set(para_from_vars).
% 0.19/0.42 dependent: set(eq_units_both_ways).
% 0.19/0.42 dependent: set(dynamic_demod_all).
% 0.19/0.42 dependent: set(dynamic_demod).
% 0.19/0.42 dependent: set(order_eq).
% 0.19/0.42 dependent: set(back_demod).
% 0.19/0.42 dependent: set(lrpo).
% 0.19/0.42 dependent: set(hyper_res).
% 0.19/0.42 dependent: set(unit_deletion).
% 0.19/0.42 dependent: set(factor).
% 0.19/0.42
% 0.19/0.42 ------------> process usable:
% 0.19/0.42 Following clause subsumed by 15 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 0.19/0.42 Following clause subsumed by 15 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 0.19/0.42 Following clause subsumed by 15 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E)).
% 0.19/0.42 Following clause subsumed by 21 during input processing: 0 [] {-} c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool))| -c_lessequals(C,D,tc_fun(A,tc_bool))| -c_lessequals(B,D,tc_fun(A,tc_bool)).
% 0.19/0.42 Following clause subsumed by 22 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.19/0.42 Following clause subsumed by 22 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.19/0.42 Following clause subsumed by 36 during input processing: 0 [] {-} hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 0.19/0.42 Following clause subsumed by 51 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -hBOOL(c_in(C,A,B))| -c_lessequals(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 0.19/0.42 Following clause subsumed by 58 during input processing: 0 [] {-} c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C)| -c_Finite__Set_Ofinite(B,C).
% 0.19/0.42 Following clause subsumed by 79 during input processing: 0 [] {-} c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A)| -c_Finite__Set_Ofinite(B,A).
% 0.19/0.42 Following clause subsumed by 55 during input processing: 0 [flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 0.19/0.42 Following clause subsumed by 103 during input processing: 0 [] {-} A=B| -c_lessequals(B,A,tc_fun(C,tc_bool))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.19/0.42 Following clause subsumed by 104 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.42 Following clause subsumed by 104 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.19/0.42 Following clause subsumed by 109 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lessequals(A,D,tc_fun(B,tc_bool))|hBOOL(c_in(C,A,B)).
% 0.19/0.42 Following clause subsumed by 110 during input processing: 0 [] {-} c_lessequals(A,B,tc_fun(C,tc_bool))| -c_lessequals(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C)).
% 0.19/0.42 Following clause subsumed by 111 during input processing: 0 [] {-} hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(E,tc_bool)),E))| -hBOOL(c_in(A,hAPP(C,F),E))| -hBOOL(c_in(F,B,D)).
% 0.19/0.42 Following clause subsumed by 116 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A).
% 0.19/0.42 Following clause subsumed by 117 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C),A).
% 0.19/0.42 Following clause subsumed by 32 during input processing: 0 [] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 0.19/0.42 Following clause subsumed by 129 during input processing: 0 [] {-} hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(c_in(F,A,C)).
% 0.19/0.42 Following clause subsumed by 14 during input processing: 0 [] {-} hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),c_Collect(D,C)),C)).
% 0.19/0.42 Following clause subsumed by 155 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 0.19/0.42 Following clause subsumed by 155 during input processing: 0 [] {-} -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 0.19/0.42 Following clause subsumed by 155 during input processing: 0 [] {-} -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 0.19/0.42 Following clause subsumed by 155 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 0.19/0.42 Following clause subsumed by 166 during input processing: 0 [] {-} hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B))| -hBOOL(c_in(A,D,B)).
% 0.19/0.42 Following clause subsumed by 185 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.19/0.42 Following clause subsumed by 185 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.19/0.42 Following clause subsumed by 188 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))| -c_lessequals(A,D,tc_fun(B,tc_bool))| -c_lessequals(A,C,tc_fun(B,tc_bool)).
% 0.19/0.42 Following clause subsumed by 203 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A).
% 0.19/0.42 Following clause subsumed by 204 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A).
% 0.19/0.42 Following clause subsumed by 213 during input processing: 0 [] {-} hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.19/0.42 Following clause subsumed by 213 during input processing: 0 [] {-} hBOOL(c_in(A,B,C))| -c_lessequals(D,B,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 0.19/0.42 Following clause subsumed by 213 during input processing: 0 [] {-} hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.19/0.43 Following clause subsumed by 216 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_lessequals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 0.19/0.43 Following clause subsumed by 219 during input processing: 0 [] {-} c_Finite__Set_Ofinite(A,B)| -c_lessequals(A,C,tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(C,B).
% 0.19/0.43 Following clause subsumed by 133 during input processing: 0 [] {-} c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 0.19/0.43 Following clause subsumed by 229 during input processing: 0 [] {-} hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B))| -hBOOL(c_in(A,C,B)).
% 0.19/0.43 Following clause subsumed by 189 during input processing: 0 [flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 0.19/0.43 Following clause subsumed by 244 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Hoare__Mirabelle_Otriple_Otriple__case(B,c_Hoare__Mirabelle_Otriple_Otriple(C,D,E,t_b),t_b,t_a)))|hBOOL(hAPP(A,hAPP(hAPP(hAPP(B,C),D),E))).
% 0.19/0.43 Following clause subsumed by 286 during input processing: 0 [] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.19/0.43 Following clause subsumed by 49 during input processing: 0 [copy,5,flip.1] {-} c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 0.19/0.43 Following clause subsumed by 5 during input processing: 0 [copy,49,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 0.19/0.43 Following clause subsumed by 224 during input processing: 0 [copy,57,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OBODY(C).
% 0.19/0.43 Following clause subsumed by 199 during input processing: 0 [copy,64,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 0.19/0.43 Following clause subsumed by 74 during input processing: 0 [copy,66,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 0.19/0.43 Following clause subsumed by 130 during input processing: 0 [copy,70,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 0.19/0.43 Following clause subsumed by 66 during input processing: 0 [copy,74,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 0.19/0.43 Following clause subsumed by 91 during input processing: 0 [copy,90,flip.1] {-} c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCond(B,C,D).
% 0.19/0.43 Following clause subsumed by 90 during input processing: 0 [copy,91,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OBODY(D).
% 0.19/0.43 Following clause subsumed by 70 during input processing: 0 [copy,130,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 0.19/0.43 Following clause subsumed by 64 during input processing: 0 [copy,199,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 0.19/0.43 Following clause subsumed by 57 during input processing: 0 [copy,224,flip.1] {-} c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OWhile(B,C).
% 0.19/0.43 239 back subsumes 163.
% 0.19/0.43 239 back subsumes 109.
% 0.19/0.43 286 back subsumes 268.
% 0.19/0.43
% 0.19/0.43 ------------> process sos:
% 0.19/0.43 Following clause subsumed by 355 during input processing: 0 [demod,353] {-} C=C.
% 0.19/0.43 Following clause subsumed by 355 during input processing: 0 [demod,351] {-} A=A.
% 0.19/0.43 Following clause subsumed by 356 during input processing: 0 [] {-} hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B.
% 0.19/0.43 Following clause subsumed by 355 during input processing: 0 [demod,405] {-} hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 0.19/0.43 Following clause subsumed by 355 during input processing: 0 [demod,384] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.19/0.43 Following clause subsumed by 490 during input processing: 0 [] {-} c_lessequals(A,A,tc_fun(B,tc_bool)).
% 0.19/0.43 Following clause subsumed by 510 during input processing: 0 [] {-} hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),C),B)).
% 0.19/0.43 Following clause subsumed by 510 during input processing: 0 [] {-} hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),C),B)).
% 0.19/0.43 Following clause subsumed by 355 during input processing: 0 [demod,405] {-} hAPP(A,hAPP(B,v_x))=hAPP(A,hAPP(B,v_x)).
% 0.19/0.43 Following clause subsumed by 355 during input processing: 0 [demod,443] {-} v_x=v_x.
% 0.19/0.43 Following clause subsumed by 355 during input processing: 0 [demod,469] {-} hAPP(B,hAPP(A,v_x))=hAPP(B,hAPP(A,v_x)).
% 0.19/0.43 Following clause subsumed by 355 during input processing: 0 [demod,363] {-} v_P=v_P.
% 0.19/0.43 Following clause subsumed by 510 during input processing: 0 [demod,466] {-} hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),c_COMBK(c_False,t
% 0.19/0.43 -------- PROOF --------
% 0.19/0.43 % SZS status Unsatisfiable
% 0.19/0.43 % SZS output start Refutation
% 0.19/0.43 c_bool,B)),B)).
% 0.19/0.43 Following clause subsumed by 562 during input processing: 0 [demod,466,466] {-} hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_COMBK(c_False,tc_bool,A)))=hAPP(hAPP(c_Set_Oinsert(A),C),hAPP(hAPP(c_Set_Oinsert(A),B),c_COMBK(c_False,tc_bool,A))).
% 0.19/0.43 Following clause subsumed by 355 during input processing: 0 [] {-} A=A.
% 0.19/0.43 Following clause subsumed by 355 during input processing: 0 [copy,355,flip.1] {-} A=A.
% 0.19/0.43 355 back subsumes 335.
% 0.19/0.43 355 back subsumes 325.
% 0.19/0.43 355 back subsumes 324.
% 0.19/0.43 355 back subsumes 315.
% 0.19/0.43 Following clause subsumed by 368 during input processing: 0 [copy,368,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)).
% 0.19/0.43 Following clause subsumed by 373 during input processing: 0 [copy,373,flip.1] {-} hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),B).
% 0.19/0.43 Following clause subsumed by 408 during input processing: 0 [copy,408,flip.1] {-} hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)).
% 0.19/0.43 Following clause subsumed by 435 during input processing: 0 [copy,435,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),B).
% 0.19/0.43 459 back subsumes 444.
% 0.19/0.43
% 0.19/0.43 ----> UNIT CONFLICT at 0.04 sec ----> 630 [binary,629.1,517.1] {-} $F.
% 0.19/0.43
% 0.19/0.43 Length of proof is 3. Level of proof is 2.
% 0.19/0.43
% 0.19/0.43 ---------------- PROOF ----------------
% 0.19/0.43 % SZS status Unsatisfiable
% 0.19/0.43 % SZS output start Refutation
% 0.19/0.43
% 0.19/0.43 300 [] {-} -c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(A,v_c,B,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 0.19/0.43 397,396 [] {-} c_Collect(A,B)=A.
% 0.19/0.43 464 [] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Collect(c_COMBK(c_False,tc_bool,A),A).
% 0.19/0.43 466,465 [copy,464,demod,397] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_COMBK(c_False,tc_bool,A).
% 0.19/0.43 516 [] {-} c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),B),C,D,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 0.19/0.43 517 [copy,516,demod,466] {-} c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),B),C,D,B)),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(B))),B).
% 0.19/0.43 629 [back_demod,300,demod,466] {-} -c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(A,v_c,B,t_a)),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(t_a))),t_a).
% 0.19/0.43 630 [binary,629.1,517.1] {-} $F.
% 0.19/0.43
% 0.19/0.43 % SZS output end Refutation
% 0.19/0.43 ------------ end of proof -------------
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Search stopped by max_proofs option.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Search stopped by max_proofs option.
% 0.19/0.43
% 0.19/0.43 ============ end of search ============
% 0.19/0.43
% 0.19/0.43 That finishes the proof of the theorem.
% 0.19/0.43
% 0.19/0.43 Process 23378 finished Thu Jun 16 03:57:59 2022
%------------------------------------------------------------------------------