TSTP Solution File: SCT027-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SCT027-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n025.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 : Mon Jul 18 22:11:44 EDT 2022
% Result : Unsatisfiable 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SCT027-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12 % Command : sos-script %s
% 0.13/0.32 % Computer : n025.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Sat Jul 2 09:26:39 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.17/0.43 ----- Otter 3.2, August 2001 -----
% 0.17/0.43 The process was started by sandbox on n025.cluster.edu,
% 0.17/0.43 Sat Jul 2 09:26:39 2022
% 0.17/0.43 The command was "./sos". The process ID is 26802.
% 0.17/0.43
% 0.17/0.43 set(prolog_style_variables).
% 0.17/0.43 set(auto).
% 0.17/0.43 dependent: set(auto1).
% 0.17/0.43 dependent: set(process_input).
% 0.17/0.43 dependent: clear(print_kept).
% 0.17/0.43 dependent: clear(print_new_demod).
% 0.17/0.43 dependent: clear(print_back_demod).
% 0.17/0.43 dependent: clear(print_back_sub).
% 0.17/0.43 dependent: set(control_memory).
% 0.17/0.43 dependent: assign(max_mem, 12000).
% 0.17/0.43 dependent: assign(pick_given_ratio, 4).
% 0.17/0.43 dependent: assign(stats_level, 1).
% 0.17/0.43 dependent: assign(pick_semantic_ratio, 3).
% 0.17/0.43 dependent: assign(sos_limit, 5000).
% 0.17/0.43 dependent: assign(max_weight, 60).
% 0.17/0.43 clear(print_given).
% 0.17/0.43
% 0.17/0.43 list(usable).
% 0.17/0.43
% 0.17/0.43 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.17/0.43
% 0.17/0.43 This ia a non-Horn set with equality. The strategy will be
% 0.17/0.43 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.17/0.43 unit deletion, with positive clauses in sos and nonpositive
% 0.17/0.43 clauses in usable.
% 0.17/0.43
% 0.17/0.43 dependent: set(knuth_bendix).
% 0.17/0.43 dependent: set(para_from).
% 0.17/0.43 dependent: set(para_into).
% 0.17/0.43 dependent: clear(para_from_right).
% 0.17/0.43 dependent: clear(para_into_right).
% 0.17/0.43 dependent: set(para_from_vars).
% 0.17/0.43 dependent: set(eq_units_both_ways).
% 0.17/0.43 dependent: set(dynamic_demod_all).
% 0.17/0.43 dependent: set(dynamic_demod).
% 0.17/0.43 dependent: set(order_eq).
% 0.17/0.43 dependent: set(back_demod).
% 0.17/0.43 dependent: set(lrpo).
% 0.17/0.43 dependent: set(hyper_res).
% 0.17/0.43 dependent: set(unit_deletion).
% 0.17/0.43 dependent: set(factor).
% 0.17/0.43
% 0.17/0.43 ------------> process usable:
% 0.17/0.43 Following clause subsumed by 1 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 0.17/0.43 Following clause subsumed by 7 during input processing: 0 [] {-} c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))| -c_lessequals(A,B,tc_fun(D,tc_bool)).
% 0.17/0.43 Following clause subsumed by 10 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.17/0.43 Following clause subsumed by 10 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.17/0.43 Following clause subsumed by 26 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.17/0.43 Following clause subsumed by 26 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.17/0.43 Following clause subsumed by 27 during input processing: 0 [] {-} A=B| -c_lessequals(B,A,tc_fun(C,tc_bool))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.17/0.43 Following clause subsumed by 42 during input processing: 0 [] {-} c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),C),tc_fun(A,tc_bool))| -c_lessequals(C,B,tc_fun(A,tc_bool)).
% 0.17/0.43 Following clause subsumed by 4 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 0.17/0.43 Following clause subsumed by 64 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_lessequals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 0.17/0.43 Following clause subsumed by 75 during input processing: 0 [] {-} -c_lessequals(A,B,tc_fun(C,tc_bool))|c_lessequals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool)).
% 0.17/0.43 Following clause subsumed by 77 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|C=B.
% 0.17/0.43 Following clause subsumed by 79 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.17/0.43 Following clause subsumed by 78 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.17/0.43 Following clause subsumed by 79 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.17/0.43 Following clause subsumed by 79 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|B=C.
% 0.17/0.43 Following clause subsumed by 80 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.17/0.43 Following clause subsumed by 46 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(c_in(D),B),A)).
% 0.17/0.43 Following clause subsumed by 85 during input processing: 0 [] {-} c_lessequals(A,B,tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),D),A))| -c_lessequals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 0.17/0.43 Following clause subsumed by 46 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(c_in(D),B),A)).
% 0.17/0.43 Following clause subsumed by 89 during input processing: 0 [] {-} c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A))| -c_Equiv__Relations_Oequiv(E,A,C).
% 0.17/0.43 Following clause subsumed by 89 during input processing: 0 [] {-} c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A))| -hBOOL(hAPP(hAPP(c_in(C),D),E))| -hBOOL(hAPP(hAPP(c_in(C),B),E))| -c_Equiv__Relations_Oequiv(E,A,C).
% 0.17/0.43 Following clause subsumed by 115 during input processing: 0 [] {-} c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)!=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -c_Equiv__Relations_Oequiv(E,A,C)|hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A))| -hBOOL(hAPP(hAPP(c_in(C),D),E))| -hBOOL(hAPP(hAPP(c_in(C),B),E)).
% 0.17/0.43 Following clause subsumed by 81 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.17/0.43 Following clause subsumed by 55 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.17/0.43 Following clause subsumed by 118 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.17/0.43 Following clause subsumed by 55 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.17/0.43 Following clause subsumed by 130 during input processing: 0 [] {-} c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lessequals(B,D,tc_fun(C,tc_bool))| -c_lessequals(A,D,tc_fun(C,tc_bool)).
% 0.17/0.43 Following clause subsumed by 131 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.17/0.43 Following clause subsumed by 131 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.17/0.43 Following clause subsumed by 146 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 0.17/0.43 Following clause subsumed by 147 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 0.17/0.44 Following clause subsumed by 164 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(B,hAPP(c_HOL_Ouminus__class_Ouminus(A),C),A)| -c_lessequals(C,hAPP(c_HOL_Ouminus__class_Ouminus(A),B),A).
% 0.17/0.44 Following clause subsumed by 165 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(A),B),C,A)| -c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(A),C),B,A).
% 0.17/0.44 Following clause subsumed by 166 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -c_lessequals(D,C,tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 0.17/0.44 Following clause subsumed by 166 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lessequals(D,C,tc_fun(A,tc_bool)).
% 0.17/0.44 Following clause subsumed by 166 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lessequals(D,C,tc_fun(A,tc_bool)).
% 0.17/0.44 Following clause subsumed by 172 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_OImage(C,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(E,A)),c_Pair(F,B,E,A)),C))| -hBOOL(hAPP(hAPP(c_in(E),F),D)).
% 0.17/0.44 Following clause subsumed by 46 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))| -c_lessequals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 0.17/0.44 Following clause subsumed by 204 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(B,A))).
% 0.17/0.44 Following clause subsumed by 240 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),B),A))| -c_lessequals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 0.17/0.44 Following clause subsumed by 214 during input processing: 0 [] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 0.17/0.44 Following clause subsumed by 256 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.17/0.44 Following clause subsumed by 256 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.17/0.44 Following clause subsumed by 256 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.17/0.44 Following clause subsumed by 260 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,hAPP(c_HOL_Ouminus__class_Ouminus(A),C),A)| -c_HOL_Oord__class_Oless(C,hAPP(c_HOL_Ouminus__class_Ouminus(A),B),A).
% 0.17/0.44 Following clause subsumed by 261 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(A),B),C,A)| -c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(A),C),B,A).
% 0.17/0.44 Following clause subsumed by 272 during input processing: 0 [] {-} A=B|C=A| -hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),D),c_Arrow__Order__Mirabelle_OLin))|B=A|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(C,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(D,B,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(C,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),D)).
% 0.17/0.45 Following clause subsumed by 264 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(B,D,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),C))|A=D| -hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),C),c_Arrow__Order__Mirabelle_OLin))|B=D|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,D,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(C,B,D))).
% 0.17/0.45 Following clause subsumed by 266 during input processing: 0 [factor_simp] {-} -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),C))|A=B| -hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),C),c_Arrow__Order__Mirabelle_OLin))|A=D|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(C,A,D))).
% 0.17/0.45 Following clause subsumed by 298 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 0.17/0.45 Following clause subsumed by 300 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),D))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(D,A,C)))|hBOOL(hAPP(hAPP(c_in(C),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(D,E,C)),D)).
% 0.17/0.45 Following clause subsumed by 299 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),D))| -hBOOL(hAPP(E,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(D,E,C)))|hBOOL(hAPP(hAPP(c_in(C),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(D,A,C)),D)).
% 0.17/0.45 Following clause subsumed by 302 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 0.17/0.45 Following clause subsumed by 305 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 0.17/0.45 Following clause subsumed by 305 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.17/0.45 Following clause subsumed by 305 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.17/0.45 Following clause subsumed by 304 during input processing: 0 [factor_simp] {-} hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Set__XbexCI__1__1(B,C,A)),B))| -hBOOL(hAPP(hAPP(c_in(A),E),B))| -hBOOL(hAPP(C,E)).
% 0.17/0.45 Following clause subsumed by 341 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 0.17/0.45 Following clause subsumed by 341 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 0.17/0.45 Following clause subsumed by 341 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.17/0.45 Following clause subsumed by 353 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(B,A))).
% 0.17/0.45 Following clause subsumed by 363 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),c_Relation_Oconverse(E,B,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(B,A)),c_Pair(D,C,B,A)),E)).
% 0.17/0.45 Following clause subsumed by 384 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.17/0.47 Following clause subsumed by 392 during input processing: 0 [factor_simp] {-} hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),D))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(D,A,C))).
% 0.17/0.47 Following clause subsumed by 394 during input processing: 0 [factor_simp] {-} hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),D))|hBOOL(hAPP(hAPP(c_in(C),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(D,A,C)),D)).
% 0.17/0.47 Following clause subsumed by 297 during input processing: 0 [] {-} hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__XbexCI__1__1(B,A,C)))| -hBOOL(hAPP(hAPP(c_in(C),D),B))| -hBOOL(hAPP(A,D)).
% 0.17/0.47 Following clause subsumed by 402 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -c_Fun_Oinj__on(A,E,D,F)|B=C.
% 0.17/0.47 Following clause subsumed by 402 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -c_Fun_Oinj__on(A,E,D,F)|B=C.
% 0.17/0.47 Following clause subsumed by 402 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -hBOOL(hAPP(hAPP(c_in(E),C),D))| -hBOOL(hAPP(hAPP(c_in(E),B),D)).
% 0.17/0.47 Following clause subsumed by 305 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 0.17/0.47 Following clause subsumed by 408 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool))))|hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 0.17/0.47 Following clause subsumed by 414 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),hAPP(D,F)))| -hBOOL(hAPP(hAPP(c_in(E),F),C)).
% 0.17/0.47 Following clause subsumed by 418 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 0.17/0.47 Following clause subsumed by 418 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 0.17/0.47 Following clause subsumed by 419 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),c_Set_Ovimage(B,D,E,A))).
% 0.17/0.47 Following clause subsumed by 430 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_fun(E,tc_bool))),F),G))| -hBOOL(hAPP(hAPP(hAPP(B,H),F),G))| -hBOOL(hAPP(hAPP(c_in(C),H),A)).
% 0.17/0.47 Following clause subsumed by 431 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(hAPP(hAPP(c_in(C),F),A)).
% 0.17/0.47 Following clause subsumed by 436 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D))).
% 0.17/0.47 Following clause subsumed by 436 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 0.17/0.47 Following clause subsumed by 436 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 0.17/0.47 Following clause subsumed by 447 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),hAPP(F,B)))| -hBOOL(hAPP(hAPP(c_in(tc_fun(A,D)),E),c_FuncSet_OPi(C,F,A,D))).
% 0.17/0.47 116 back subsumes 115.
% 0.17/0.47 118 back subsumes 117.
% 0.17/0.47 Following clause subsumed by 352 during input processing: 0 [copy,214,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 0.17/0.47 290 back subsumes 279.
% 0.17/0.47 Following clause subsumed by 214 during input processing: 0 [copy,352,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.17/0.47 392 back subsumes 300.
% 0.17/0.47 394 back subsumes 299.
% 0.17/0.47 401 back subsumes 251.
% 0.17/0.47 446 back subsumes 444.
% 0.17/0.47 461 back subsumes 456.
% 0.17/0.47 461 back subsumes 455.
% 0.17/0.47 461 back subsumes 454.
% 0.17/0.47 461 back subsumes 453.
% 0.17/0.47 461 back subsumes 452.
% 0.17/0.47 461 back subsumes 451.
% 0.17/0.47 461 back subsumes 450.
% 0.17/0.47 461 back subsumes 446.
% 0.17/0.47 461 back subsumes 445.
% 0.17/0.47 461 back subsumes 295.
% 0.17/0.47 461 back subsumes 294.
% 0.17/0.47 461 back subsumes 293.
% 0.17/0.47 461 back subsumes 291.
% 0.17/0.48 461 back
% 0.17/0.48 -------- PROOF --------
% 0.17/0.48 % SZS status Unsatisfiable
% 0.17/0.48 % SZS output start Refutation
% 0.17/0.48 subsumes 290.
% 0.17/0.48 461 back subsumes 288.
% 0.17/0.48 461 back subsumes 287.
% 0.17/0.48 461 back subsumes 286.
% 0.17/0.48 461 back subsumes 285.
% 0.17/0.48 461 back subsumes 284.
% 0.17/0.48 461 back subsumes 283.
% 0.17/0.48 461 back subsumes 282.
% 0.17/0.48 461 back subsumes 281.
% 0.17/0.48 461 back subsumes 280.
% 0.17/0.48 461 back subsumes 277.
% 0.17/0.48 461 back subsumes 276.
% 0.17/0.48 461 back subsumes 274.
% 0.17/0.48 461 back subsumes 273.
% 0.17/0.48 461 back subsumes 272.
% 0.17/0.48 461 back subsumes 270.
% 0.17/0.48 461 back subsumes 269.
% 0.17/0.48 461 back subsumes 268.
% 0.17/0.48 461 back subsumes 267.
% 0.17/0.48 461 back subsumes 266.
% 0.17/0.48 461 back subsumes 264.
% 0.17/0.48 461 back subsumes 262.
% 0.17/0.48
% 0.17/0.48 ------------> process sos:
% 0.17/0.48 Following clause subsumed by 557 during input processing: 0 [demod,555] {-} C=C.
% 0.17/0.48 Following clause subsumed by 557 during input processing: 0 [demod,553] {-} A=A.
% 0.17/0.48 Following clause subsumed by 585 during input processing: 0 [] {-} c_lessequals(A,A,tc_fun(B,tc_bool)).
% 0.17/0.48 Following clause subsumed by 587 during input processing: 0 [] {-} hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B.
% 0.17/0.48 Following clause subsumed by 557 during input processing: 0 [demod,581] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.17/0.48 Following clause subsumed by 557 during input processing: 0 [demod,599] {-} c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,c_COMBB(E,A,D,tc_fun(F,tc_bool),C),C,tc_fun(F,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,c_COMBB(E,A,D,tc_fun(F,tc_bool),C),C,tc_fun(F,tc_bool)).
% 0.17/0.48 Following clause subsumed by 568 during input processing: 0 [] {-} c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),tc_fun(A,tc_bool)).
% 0.17/0.48 Following clause subsumed by 648 during input processing: 0 [] {-} c_Set_Oimage(c_COMBK(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.17/0.48 Following clause subsumed by 659 during input processing: 0 [] {-} c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.17/0.48 Following clause subsumed by 755 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 0.17/0.48 Following clause subsumed by 755 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 0.17/0.48
% 0.17/0.48 ----> UNIT CONFLICT at 0.08 sec ----> 761 [binary,760.1,461.1] {-} $F.
% 0.17/0.48
% 0.17/0.48 Length of proof is 1. Level of proof is 1.
% 0.17/0.48
% 0.17/0.48 ---------------- PROOF ----------------
% 0.17/0.48 % SZS status Unsatisfiable
% 0.17/0.48 % SZS output start Refutation
% 0.17/0.48
% 0.17/0.48 459 [] {-} -v_thesis____.
% 0.17/0.48 460 [] {-} v_thesis____| -hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),A),c_Arrow__Order__Mirabelle_OLin)).
% 0.17/0.48 461 [copy,460,unit_del,459] {-} -hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),A),c_Arrow__Order__Mirabelle_OLin)).
% 0.17/0.48 760 [] {-} hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),c_Arrow__Order__Mirabelle_OLin)).
% 0.17/0.48 761 [binary,760.1,461.1] {-} $F.
% 0.17/0.48
% 0.17/0.48 % SZS output end Refutation
% 0.17/0.48 ------------ end of proof -------------
% 0.17/0.48
% 0.17/0.48
% 0.17/0.48 Search stopped by max_proofs option.
% 0.17/0.48
% 0.17/0.48
% 0.17/0.48 Search stopped by max_proofs option.
% 0.17/0.48
% 0.17/0.48 ============ end of search ============
% 0.17/0.48
% 0.17/0.48 That finishes the proof of the theorem.
% 0.17/0.48
% 0.17/0.48 Process 26802 finished Sat Jul 2 09:26:39 2022
%------------------------------------------------------------------------------