TSTP Solution File: LCL779-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL779-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n003.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 14:32:52 EDT 2022
% Result : Unsatisfiable 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL779-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n003.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 : Sat Jul 2 22:36:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.42 ----- Otter 3.2, August 2001 -----
% 0.18/0.42 The process was started by sandbox on n003.cluster.edu,
% 0.18/0.42 Sat Jul 2 22:36:54 2022
% 0.18/0.42 The command was "./sos". The process ID is 29565.
% 0.18/0.42
% 0.18/0.42 set(prolog_style_variables).
% 0.18/0.42 set(auto).
% 0.18/0.42 dependent: set(auto1).
% 0.18/0.42 dependent: set(process_input).
% 0.18/0.42 dependent: clear(print_kept).
% 0.18/0.42 dependent: clear(print_new_demod).
% 0.18/0.42 dependent: clear(print_back_demod).
% 0.18/0.42 dependent: clear(print_back_sub).
% 0.18/0.42 dependent: set(control_memory).
% 0.18/0.42 dependent: assign(max_mem, 12000).
% 0.18/0.42 dependent: assign(pick_given_ratio, 4).
% 0.18/0.42 dependent: assign(stats_level, 1).
% 0.18/0.42 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.42 dependent: assign(sos_limit, 5000).
% 0.18/0.42 dependent: assign(max_weight, 60).
% 0.18/0.42 clear(print_given).
% 0.18/0.42
% 0.18/0.42 list(usable).
% 0.18/0.42
% 0.18/0.42 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.18/0.42
% 0.18/0.42 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.42 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.42 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.42 clauses in usable.
% 0.18/0.42
% 0.18/0.42 dependent: set(knuth_bendix).
% 0.18/0.42 dependent: set(para_from).
% 0.18/0.42 dependent: set(para_into).
% 0.18/0.42 dependent: clear(para_from_right).
% 0.18/0.42 dependent: clear(para_into_right).
% 0.18/0.42 dependent: set(para_from_vars).
% 0.18/0.42 dependent: set(eq_units_both_ways).
% 0.18/0.42 dependent: set(dynamic_demod_all).
% 0.18/0.42 dependent: set(dynamic_demod).
% 0.18/0.42 dependent: set(order_eq).
% 0.18/0.42 dependent: set(back_demod).
% 0.18/0.42 dependent: set(lrpo).
% 0.18/0.42 dependent: set(hyper_res).
% 0.18/0.42 dependent: set(unit_deletion).
% 0.18/0.42 dependent: set(factor).
% 0.18/0.42
% 0.18/0.42 ------------> process usable:
% 0.18/0.42 Following clause subsumed by 1 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Nat_Osemiring__1__class_Oof__nat(B,A),A).
% 0.18/0.42 Following clause subsumed by 32 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C| -c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 0.18/0.42 Following clause subsumed by 33 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.18/0.42 Following clause subsumed by 33 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.18/0.42 Following clause subsumed by 33 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.18/0.42 Following clause subsumed by 34 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -c_lessequals(B,C,A).
% 0.18/0.42 Following clause subsumed by 53 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.18/0.42 Following clause subsumed by 53 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.18/0.42 Following clause subsumed by 60 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_lessequals(B,C,A).
% 0.18/0.42 Following clause subsumed by 61 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_lessequals(B,D,A).
% 0.18/0.42 Following clause subsumed by 58 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)| -c_lessequals(c_Orderings_Oord__class_Omax(B,D,A),C,A).
% 0.18/0.42 Following clause subsumed by 59 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)| -c_lessequals(c_Orderings_Oord__class_Omax(D,B,A),C,A).
% 0.18/0.42 Following clause subsumed by 67 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(c_Orderings_Oord__class_Omax(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.18/0.42 Following clause subsumed by 67 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(c_Orderings_Oord__class_Omax(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.18/0.42 Following clause subsumed by 74 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.18/0.42 Following clause subsumed by 74 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.18/0.42 Following clause subsumed by 76 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.18/0.42 Following clause subsumed by 74 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.18/0.42 Following clause subsumed by 80 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.18/0.42 Following clause subsumed by 5 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(tc_nat),A)=c_HOL_Oone__class_Oone(A).
% 0.18/0.42 Following clause subsumed by 89 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(D,B,A),c_Power_Opower__class_Opower(D,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),D,A).
% 0.18/0.42 Following clause subsumed by 90 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(B,C,A),c_Power_Opower__class_Opower(B,D,A),A)| -c_HOL_Oord__class_Oless(C,D,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),B,A).
% 0.18/0.42 Following clause subsumed by 106 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 0.18/0.42 Following clause subsumed by 107 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_HOL_Oord__class_Oless(B,C,A).
% 0.18/0.42 Following clause subsumed by 112 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,D,E),C),B)).
% 0.18/0.42 Following clause subsumed by 113 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(A,E),D)).
% 0.18/0.42 Following clause subsumed by 115 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.18/0.42 Following clause subsumed by 115 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.18/0.42 Following clause subsumed by 135 during input processing: 0 [] {-} c_Wellfounded_Oaccp(A,B,C)| -c_Wellfounded_Oaccp(A,D,C)| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,C),B),D)).
% 0.18/0.42 Following clause subsumed by 142 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.18/0.42 Following clause subsumed by 143 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 0.18/0.42 Following clause subsumed by 145 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 0.18/0.42 Following clause subsumed by 97 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)|B=C.
% 0.18/0.42 Following clause subsumed by 164 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.18/0.42 Following clause subsumed by 175 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(A,E,F,G,H,I).
% 0.18/0.42 Following clause subsumed by 173 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_Groebner__Basis_Ogb__semiring(A,D,E,F,G,H).
% 0.18/0.43 Following clause subsumed by 175 during input processing: 0 [] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(A,E,F,G,H,I).
% 0.18/0.43 Following clause subsumed by 170 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(E,A,F,G,H,I).
% 0.18/0.43 Following clause subsumed by 170 during input processing: 0 [] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(E,A,F,G,H,I).
% 0.18/0.43 Following clause subsumed by 180 during input processing: 0 [] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),hAPP(hAPP(A,D),E))=hAPP(hAPP(A,D),hAPP(hAPP(A,hAPP(hAPP(A,B),C)),E))| -c_Groebner__Basis_Ogb__semiring(F,A,G,H,I,J).
% 0.18/0.43 Following clause subsumed by 170 during input processing: 0 [] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),hAPP(hAPP(A,D),E))=hAPP(hAPP(A,B),hAPP(hAPP(A,C),hAPP(hAPP(A,D),E)))| -c_Groebner__Basis_Ogb__semiring(F,A,G,H,I,J).
% 0.18/0.43 Following clause subsumed by 171 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,B,G).
% 0.18/0.43 Following clause subsumed by 172 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=B| -c_Groebner__Basis_Ogb__semiring(D,A,E,B,F,G).
% 0.18/0.43 Following clause subsumed by 168 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,G,H).
% 0.18/0.43 Following clause subsumed by 176 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(A,D,E,B,F,G).
% 0.18/0.43 Following clause subsumed by 200 during input processing: 0 [flip.1] {-} c_List_Olist_OCons(B,A,C)!=A.
% 0.18/0.43 Following clause subsumed by 143 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 0.18/0.43 Following clause subsumed by 142 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.18/0.43 Following clause subsumed by 224 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 0.18/0.43 Following clause subsumed by 236 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.43 Following clause subsumed by 237 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.18/0.43 Following clause subsumed by 248 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.18/0.43 Following clause subsumed by 261 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.
% 0.18/0.43 Following clause subsumed by 261 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).
% 0.18/0.43 Following clause subsumed by 261 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).
% 0.18/0.43 Following clause subsumed by 279 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Lambda_OdB_OdB__case(B,C,D,c_Lambda_OdB_OAbs(E),t_a)))|hBOOL(hAPP(A,hAPP(D,E))).
% 0.18/0.43 Following clause subsumed by 282 during input processing: 0 [flip.1] {-} c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 0.18/0.43 Following clause subsumed by 283 during input processing: 0 [flip.1] {-} c_List_Oappend(B,A,C)!=A|B=c_List_Olist_ONil(C).
% 0.18/0.43 Following clause subsumed by 311 during input processing: 0 [] {-} c_Wellfounded_Oaccp(A,B,C)| -hBOOL(hAPP(hAPP(A,B),D))| -c_Wellfounded_Oaccp(A,D,C).
% 0.18/0.43 Following clause subsumed by 312 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.18/0.43 Following clause subsumed by 322 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Lambda_OdB_OdB__case(B,C,D,hAPP(hAPP(c_Lambda_OdB_OApp,E),F),t_a)))|hBOOL(hAPP(A,hAPP(hAPP(C,E),F))).
% 0.18/0.43 Following clause subsumed by 350 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Lambda_OdB_OdB__case(B,C,D,c_Lambda_OdB_OVar(E),t_a)))|hBOOL(hAPP(A,hAPP(B,E))).
% 0.18/0.43 76 back subsumes 75.
% 0.18/0.43 Following clause subsumed by 265 during input processing: 0 [copy,164,flip.1] {-} c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 0.18/0.43 237 back subsumes 232.
% 0.18/0.43 Following clause subsumed by 164 during input processing: 0 [copy,265,flip.1] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.18/0.43 Following clause subsumed by 321 during input processing: 0 [copy,320,flip.1] {-} c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.18/0.43 Following clause subsumed by 320 during input processing: 0 [copy,321,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 0.18/0.43 Following clause subsumed by 352 during input processing: 0 [copy,349,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 0.18/0.43 Following clause subsumed by 349 during input processing: 0 [copy,352,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 0.18/0.43 Following clause subsumed by 385 during input processing: 0 [copy,383,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 0.18/0.43 Following clause subsumed by 383 during input processing: 0 [copy,385,flip.1] {-} c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.18/0.43 Following clause subsumed by 371 during input processing: 0 [copy,422,flip.1] {-} c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 0.18/0.43 Following clause subsumed by 373 during input processing: 0 [copy,423,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A)),B)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 0.18/0.43
% 0.18/0.43 ------------> process sos:
% 0.18/0.43 Following clause subsumed by 443 during input processing: 0 [demod,441] {-} c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E)=c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E).
% 0.18/0.43 Following clause subsumed by 458 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 0.18/0.43 Following clause subsumed by 465 during input processing: 0 [demod,463] {-} B=B.
% 0.18/0.43 Following clause subsumed by 465 during input processing: 0 [demod,463] {-} A=A.
% 0.18/0.43 Following clause subsumed by 465 during input processing: 0 [demod,446] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.18/0.43 Following clause subsumed by 465 during input processing: 0 [demod,446] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.18/0.43 Following clause subsumed by 465 during input processing: 0 [demod,463] {-} c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 0.18/0.43 Following clause subsumed by 465 during input processing: 0 [demod,460] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.18/0.43 Following clause subsumed by 491 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|c_HOL_Oord__class_Oless(B,C,tc_nat)|C=B|c_HOL_Oord__class_Oless(C,B,tc_nat).
% 0.18/0.43 Following clause subsumed by 491 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.18/0.43 Following clause subsumed by 465 during input processing: 0 [demod,463] {-} c_List_Olist_OCons(B,C,A)=c_List_Olist_OCons(B,C,A).
% 0.18/0.43 Following clause subsumed by 465 during input processing: 0 [demod,460] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.18/0.43 Following clause subsumed by 465 during input processing: 0 [demod,506] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.18/0.43 Following clause subsumed by 465 during input processing: 0 [demod,506] {-} c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 0.18/0.43 Following clause subsumed by 465 during input processing: 0 [demod,506] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.18/0.43 Following clause subsumed by 465 during input processing: 0 [demod,515] {-} A=A.
% 0.18/0.43 Following claus
% 0.18/0.43 -------- PROOF --------
% 0.18/0.43 % SZS status Unsatisfiable
% 0.18/0.43 % SZS output start Refutation
% 0.18/0.43 e subsumed by 465 during input processing: 0 [demod,534] {-} c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 0.18/0.43 Following clause subsumed by 465 during input processing: 0 [demod,539] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)=hAPP(hAPP(c_Lambda_OdB_OApp,A),B).
% 0.18/0.43 Following clause subsumed by 465 during input processing: 0 [demod,539] {-} c_Lambda_OdB_OVar(A)=c_Lambda_OdB_OVar(A).
% 0.18/0.43 Following clause subsumed by 465 during input processing: 0 [demod,559] {-} B=B.
% 0.18/0.43
% 0.18/0.43 ----> UNIT CONFLICT at 0.04 sec ----> 567 [binary,566.1,386.1] {-} $F.
% 0.18/0.43
% 0.18/0.43 Length of proof is 0. Level of proof is 0.
% 0.18/0.43
% 0.18/0.43 ---------------- PROOF ----------------
% 0.18/0.43 % SZS status Unsatisfiable
% 0.18/0.43 % SZS output start Refutation
% 0.18/0.43
% 0.18/0.43 386 [] {-} -hBOOL(hAPP(c_InductTermi_OIT,v_s)).
% 0.18/0.43 566 [] {-} hBOOL(hAPP(c_InductTermi_OIT,v_s)).
% 0.18/0.43 567 [binary,566.1,386.1] {-} $F.
% 0.18/0.43
% 0.18/0.43 % SZS output end Refutation
% 0.18/0.43 ------------ end of proof -------------
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 Search stopped by max_proofs option.
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 Search stopped by max_proofs option.
% 0.18/0.43
% 0.18/0.43 ============ end of search ============
% 0.18/0.43
% 0.18/0.43 That finishes the proof of the theorem.
% 0.18/0.43
% 0.18/0.43 Process 29565 finished Sat Jul 2 22:36:54 2022
%------------------------------------------------------------------------------