TSTP Solution File: SWV856-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV856-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n029.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 21:40:27 EDT 2022
% Result : Unsatisfiable 0.22s 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SWV856-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.15 % Command : sos-script %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Wed Jun 15 21:44:27 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.22/0.46 ----- Otter 3.2, August 2001 -----
% 0.22/0.46 The process was started by sandbox on n029.cluster.edu,
% 0.22/0.46 Wed Jun 15 21:44:27 2022
% 0.22/0.46 The command was "./sos". The process ID is 31749.
% 0.22/0.46
% 0.22/0.46 set(prolog_style_variables).
% 0.22/0.46 set(auto).
% 0.22/0.46 dependent: set(auto1).
% 0.22/0.46 dependent: set(process_input).
% 0.22/0.46 dependent: clear(print_kept).
% 0.22/0.46 dependent: clear(print_new_demod).
% 0.22/0.46 dependent: clear(print_back_demod).
% 0.22/0.46 dependent: clear(print_back_sub).
% 0.22/0.46 dependent: set(control_memory).
% 0.22/0.46 dependent: assign(max_mem, 12000).
% 0.22/0.46 dependent: assign(pick_given_ratio, 4).
% 0.22/0.46 dependent: assign(stats_level, 1).
% 0.22/0.46 dependent: assign(pick_semantic_ratio, 3).
% 0.22/0.46 dependent: assign(sos_limit, 5000).
% 0.22/0.46 dependent: assign(max_weight, 60).
% 0.22/0.46 clear(print_given).
% 0.22/0.46
% 0.22/0.46 list(usable).
% 0.22/0.46
% 0.22/0.46 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.22/0.46
% 0.22/0.46 This ia a non-Horn set with equality. The strategy will be
% 0.22/0.46 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.22/0.46 unit deletion, with positive clauses in sos and nonpositive
% 0.22/0.46 clauses in usable.
% 0.22/0.46
% 0.22/0.46 dependent: set(knuth_bendix).
% 0.22/0.46 dependent: set(para_from).
% 0.22/0.46 dependent: set(para_into).
% 0.22/0.46 dependent: clear(para_from_right).
% 0.22/0.46 dependent: clear(para_into_right).
% 0.22/0.46 dependent: set(para_from_vars).
% 0.22/0.46 dependent: set(eq_units_both_ways).
% 0.22/0.46 dependent: set(dynamic_demod_all).
% 0.22/0.46 dependent: set(dynamic_demod).
% 0.22/0.46 dependent: set(order_eq).
% 0.22/0.46 dependent: set(back_demod).
% 0.22/0.46 dependent: set(lrpo).
% 0.22/0.46 dependent: set(hyper_res).
% 0.22/0.46 dependent: set(unit_deletion).
% 0.22/0.46 dependent: set(factor).
% 0.22/0.46
% 0.22/0.46 ------------> process usable:
% 0.22/0.46 Following clause subsumed by 14 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).
% 0.22/0.46 Following clause subsumed by 37 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).
% 0.22/0.46 Following clause subsumed by 42 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.22/0.46 Following clause subsumed by 51 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)).
% 0.22/0.46 Following clause subsumed by 73 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.22/0.46 Following clause subsumed by 73 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.22/0.46 Following clause subsumed by 75 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.22/0.46 Following clause subsumed by 73 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.22/0.46 Following clause subsumed by 92 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)).
% 0.22/0.46 Following clause subsumed by 93 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).
% 0.22/0.46 Following clause subsumed by 93 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).
% 0.22/0.46 Following clause subsumed by 7 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)).
% 0.22/0.46 Following clause subsumed by 7 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)).
% 0.22/0.47 Following clause subsumed by 110 during input processing: 0 [] {-} c_lessequals(A,B,tc_fun(C,tc_bool))| -c_lessequals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),D),A)).
% 0.22/0.47 Following clause subsumed by 149 during input processing: 0 [] {-} A=B| -c_lessequals(B,A,tc_fun(C,tc_bool))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.22/0.47 Following clause subsumed by 148 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.
% 0.22/0.47 Following clause subsumed by 150 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.22/0.47 Following clause subsumed by 150 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.22/0.47 Following clause subsumed by 148 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).
% 0.22/0.47 Following clause subsumed by 148 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).
% 0.22/0.47 Following clause subsumed by 175 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).
% 0.22/0.47 Following clause subsumed by 175 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).
% 0.22/0.47 Following clause subsumed by 178 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)).
% 0.22/0.47 Following clause subsumed by 186 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).
% 0.22/0.47 Following clause subsumed by 187 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).
% 0.22/0.47 Following clause subsumed by 7 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)).
% 0.22/0.47 Following clause subsumed by 220 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 0.22/0.47 Following clause subsumed by 221 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)).
% 0.22/0.47 Following clause subsumed by 222 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)).
% 0.22/0.47 Following clause subsumed by 222 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)).
% 0.22/0.47 Following clause subsumed by 222 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)).
% 0.22/0.47 Following clause subsumed by 234 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.
% 0.22/0.47 Following clause subsumed by 234 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.
% 0.22/0.47 Following clause subsumed by 234 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)).
% 0.22/0.47 Following clause subsumed by 238 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)).
% 0.22/0.47 Following clause subsumed by 240 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)).
% 0.22/0.47 Following clause subsumed by 241 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)).
% 0.22/0.47 Following clause subsumed by 241 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)).
% 0.22/0.47 Following clause subsumed by 242 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))).
% 0.22/0.47 Following clause subsumed by 246 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)).
% 0.22/0.47 Following clause subsumed by 198 during input processing: 0 [] {-} -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A).
% 0.22/0.47 Following clause subsumed by 257 during input processing: 0 [flip.1] {-} c_Suc(A)!=A.
% 0.22/0.47 Following clause subsumed by 260 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).
% 0.22/0.47 Following clause subsumed by 261 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).
% 0.22/0.47 Following clause subsumed by 273 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_lessequals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 0.22/0.47 Following clause subsumed by 276 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).
% 0.22/0.47 Following clause subsumed by 302 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)).
% 0.22/0.47 Following clause subsumed by 305 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|C=B.
% 0.22/0.47 Following clause subsumed by 307 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.22/0.47 Following clause subsumed by 306 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)).
% 0.22/0.47 Following clause subsumed by 307 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.22/0.47 Following clause subsumed by 307 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|B=C.
% 0.22/0.47 Following clause subsumed by 308 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.22/0.47 Following clause subsumed by 314 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.22/0.47 Following clause subsumed by 247 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))).
% 0.22/0.47 Following clause subsumed by 247 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)).
% 0.22/0.47 Following clause subsumed by 247 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)).
% 0.22/0.47 Following clause subsumed by 344 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)).
% 0.22/0.48 Following clause subsumed by 360 during input processing: 0 [
% 0.22/0.48 -------- PROOF --------
% 0.22/0.48 % SZS status Unsatisfiable
% 0.22/0.48 % SZS output start Refutation
% 0.22/0.48 ] {-} hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 0.22/0.48 Following clause subsumed by 360 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.22/0.48 Following clause subsumed by 360 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.22/0.48 Following clause subsumed by 360 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)))).
% 0.22/0.48 75 back subsumes 74.
% 0.22/0.48 233 back subsumes 200.
% 0.22/0.48 247 back subsumes 41.
% 0.22/0.48 302 back subsumes 1.
% 0.22/0.48 Following clause subsumed by 344 during input processing: 0 [copy,332,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.22/0.48 Following clause subsumed by 332 during input processing: 0 [copy,344,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 0.22/0.48 344 back subsumes 320.
% 0.22/0.48
% 0.22/0.48 ------------> process sos:
% 0.22/0.48 Following clause subsumed by 561 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 0.22/0.48 Following clause subsumed by 561 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 0.22/0.48 Following clause subsumed by 577 during input processing: 0 [] {-} c_lessequals(A,A,tc_fun(B,tc_bool)).
% 0.22/0.48 Following clause subsumed by 577 during input processing: 0 [] {-} c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 0.22/0.48 Following clause subsumed by 461 during input processing: 0 [] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 0.22/0.48 Following clause subsumed by 448 during input processing: 0 [demod,446] {-} hAPP(A,hAPP(B,v_x))=hAPP(A,hAPP(B,v_x)).
% 0.22/0.48 Following clause subsumed by 448 during input processing: 0 [demod,525] {-} hAPP(B,hAPP(A,v_x))=hAPP(B,hAPP(A,v_x)).
% 0.22/0.48 Following clause subsumed by 561 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A))).
% 0.22/0.48
% 0.22/0.48 ----> UNIT CONFLICT at 0.04 sec ----> 655 [binary,654.1,360.1] {-} $F.
% 0.22/0.48
% 0.22/0.48 Length of proof is 0. Level of proof is 0.
% 0.22/0.48
% 0.22/0.48 ---------------- PROOF ----------------
% 0.22/0.48 % SZS status Unsatisfiable
% 0.22/0.48 % SZS output start Refutation
% 0.22/0.48
% 0.22/0.48 360 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.22/0.48 654 [] {-} hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))).
% 0.22/0.48 655 [binary,654.1,360.1] {-} $F.
% 0.22/0.48
% 0.22/0.48 % SZS output end Refutation
% 0.22/0.48 ------------ end of proof -------------
% 0.22/0.48
% 0.22/0.48
% 0.22/0.48 Search stopped by max_proofs option.
% 0.22/0.48
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% 0.22/0.48 Search stopped by max_proofs option.
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% 0.22/0.48 ============ end of search ============
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% 0.22/0.48 That finishes the proof of the theorem.
% 0.22/0.48
% 0.22/0.48 Process 31749 finished Wed Jun 15 21:44:27 2022
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