TSTP Solution File: LCL770-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL770-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n026.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 14:32:47 EDT 2022
% Result : Unsatisfiable 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL770-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 13:01:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.42 ----- Otter 3.2, August 2001 -----
% 0.20/0.42 The process was started by sandbox2 on n026.cluster.edu,
% 0.20/0.42 Sun Jul 3 13:01:36 2022
% 0.20/0.42 The command was "./sos". The process ID is 31677.
% 0.20/0.42
% 0.20/0.42 set(prolog_style_variables).
% 0.20/0.42 set(auto).
% 0.20/0.42 dependent: set(auto1).
% 0.20/0.42 dependent: set(process_input).
% 0.20/0.42 dependent: clear(print_kept).
% 0.20/0.42 dependent: clear(print_new_demod).
% 0.20/0.42 dependent: clear(print_back_demod).
% 0.20/0.42 dependent: clear(print_back_sub).
% 0.20/0.42 dependent: set(control_memory).
% 0.20/0.42 dependent: assign(max_mem, 12000).
% 0.20/0.42 dependent: assign(pick_given_ratio, 4).
% 0.20/0.42 dependent: assign(stats_level, 1).
% 0.20/0.42 dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.42 dependent: assign(sos_limit, 5000).
% 0.20/0.42 dependent: assign(max_weight, 60).
% 0.20/0.42 clear(print_given).
% 0.20/0.42
% 0.20/0.42 list(usable).
% 0.20/0.42
% 0.20/0.42 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.20/0.42
% 0.20/0.42 This ia a non-Horn set with equality. The strategy will be
% 0.20/0.42 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.42 unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.42 clauses in usable.
% 0.20/0.42
% 0.20/0.42 dependent: set(knuth_bendix).
% 0.20/0.42 dependent: set(para_from).
% 0.20/0.42 dependent: set(para_into).
% 0.20/0.42 dependent: clear(para_from_right).
% 0.20/0.42 dependent: clear(para_into_right).
% 0.20/0.42 dependent: set(para_from_vars).
% 0.20/0.42 dependent: set(eq_units_both_ways).
% 0.20/0.42 dependent: set(dynamic_demod_all).
% 0.20/0.42 dependent: set(dynamic_demod).
% 0.20/0.42 dependent: set(order_eq).
% 0.20/0.42 dependent: set(back_demod).
% 0.20/0.42 dependent: set(lrpo).
% 0.20/0.42 dependent: set(hyper_res).
% 0.20/0.42 dependent: set(unit_deletion).
% 0.20/0.42 dependent: set(factor).
% 0.20/0.42
% 0.20/0.42 ------------> process usable:
% 0.20/0.42 Following clause subsumed by 7 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,C,A)=c_HOL_Otimes__class_Otimes(C,B,A).
% 0.20/0.42 Following clause subsumed by 9 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Otimes__class_Otimes(B,C,A)),c_HOL_Otimes__class_Otimes(B,D,A))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Otimes__class_Otimes(B,D,A)),c_HOL_Otimes__class_Otimes(B,C,A)).
% 0.20/0.42 Following clause subsumed by 12 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)).
% 0.20/0.42 Following clause subsumed by 16 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).
% 0.20/0.42 Following clause subsumed by 17 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).
% 0.20/0.42 Following clause subsumed by 19 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).
% 0.20/0.42 Following clause subsumed by 29 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.42 Following clause subsumed by 30 during input processing: 0 [] {-} c_HOL_Otimes__class_Otimes(A,B,tc_nat)!=c_HOL_Otimes__class_Otimes(A,C,tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat)|B=C.
% 0.20/0.42 Following clause subsumed by 37 during input processing: 0 [] {-} -class_Ring__and__Field_Ono__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.20/0.42 Following clause subsumed by 6 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)).
% 0.20/0.42 Following clause subsumed by 6 during input processing: 0 [] {-} -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)).
% 0.20/0.42 Following clause subsumed by 47 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(A,E),D)).
% 0.20/0.42 Following clause subsumed by 48 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,D,E),C),B)).
% 0.20/0.42 Following clause subsumed by 72 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.
% 0.20/0.42 Following clause subsumed by 78 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.20/0.42 Following clause subsumed by 90 during input processing: 0 [flip.1] {-} c_List_Olist_OCons(B,A,C)!=A.
% 0.20/0.42 Following clause subsumed by 93 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat).
% 0.20/0.42 Following clause subsumed by 92 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 0.20/0.42 Following clause subsumed by 93 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.20/0.42 Following clause subsumed by 96 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,C,A).
% 0.20/0.42 Following clause subsumed by 98 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.20/0.42 Following clause subsumed by 96 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.20/0.42 Following clause subsumed by 100 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_HOL_Oord__class_Oless(D,B,A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A).
% 0.20/0.42 Following clause subsumed by 105 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.
% 0.20/0.42 Following clause subsumed by 17 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).
% 0.20/0.42 Following clause subsumed by 16 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).
% 0.20/0.42 Following clause subsumed by 127 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Otimes__class_Otimes(B,C,A)),c_HOL_Otimes__class_Otimes(D,E,A))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Otimes__class_Otimes(B,E,A)),c_HOL_Otimes__class_Otimes(D,C,A))|C=E|B=D.
% 0.20/0.42 Following clause subsumed by 128 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(A,B,tc_nat)),c_HOL_Otimes__class_Otimes(C,D,tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(A,D,tc_nat)),c_HOL_Otimes__class_Otimes(C,B,tc_nat))|B=D|A=C.
% 0.20/0.43 Following clause subsumed by 132 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.20/0.43 Following clause subsumed by 150 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.20/0.43 Following clause subsumed by 185 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.20/0.43 Following clause subsumed by 185 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.20/0.43 Following clause subsumed by 104 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Otimes__class_Otimes(B,D,A)),c_HOL_Otimes__class_Otimes(C,D,A))=c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),D,A).
% 0.20/0.43 Following clause subsumed by 191 during input processing: 0 [] {-} c_Wellfounded_Oaccp(A,B,C)| -hBOOL(hAPP(hAPP(A,B),D))| -c_Wellfounded_Oaccp(A,D,C).
% 0.20/0.43 Following clause subsumed by 221 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.20/0.43 Following clause subsumed by 229 during input processing: 0 [] {-} c_Suc(A)!=A.
% 0.20/0.43 Following clause subsumed by 235 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.43 Following clause subsumed by 238 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).
% 0.20/0.43 Following clause subsumed by 238 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.
% 0.20/0.43 Following clause subsumed by 238 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 0.20/0.43 Following clause subsumed by 243 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.20/0.43 Following clause subsumed by 244 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat).
% 0.20/0.43 Following clause subsumed by 250 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.20/0.43 Following clause subsumed by 235 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.43 Following clause subsumed by 235 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.43 Following clause subsumed by 257 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.20/0.43 Following clause subsumed by 261 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.20/0.43 Following clause subsumed by 334 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))).
% 0.20/0.43 Following clause subsumed by 335 during input processing: 0 [flip.1] {-} c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 0.20/0.43 Following clause subsumed by 336 during input processing: 0 [flip.1] {-} c_List_Oappend(B,A,C)!=A|B=c_List_Olist_ONil(C).
% 0.20/0.43 Following clause subsumed by 343 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))).
% 0.20/0.43 Following clause subsumed by 347 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))).
% 0.20/0.43 Following clause subsumed by 142 during input processing: 0 [copy,78,flip.1] {-} c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 0.20/0.43 Following clause subsumed by 78 during input processing: 0 [copy,142,flip.1] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.20/0.43 147 back subsumes 94.
% 0.20/0.43 147 back subsumes 71.
% 0.20/0.43 185 back subsumes 130.
% 0.20/0.43 186 back subsumes 131.
% 0.20/0.43 243 back subsumes 233.
% 0.20/0.43 Following clause subsumed by 362 during input processing: 0 [copy,340,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 0.20/0.43 Following clause subsumed by 344 during input processing: 0 [copy,341,flip.1] {-} c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.20/0.43 Following clause subsumed by 341 during input processing: 0 [copy,344,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 0.20/0.43 Following clause subsumed by 372 during input processing: 0 [copy,359,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 0.20/0.43 Following clause subsumed by 340 during input processing: 0 [copy,362,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 0.20/0.43 Following clause subsumed by 359 during input processing: 0 [copy,372,flip.1] {-} c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.20/0.43 Following clause subsumed by 360 during input processing: 0 [copy,434,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).
% 0.20/0.43 Following clause subsumed by 371 during input processing: 0 [copy,435,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).
% 0.20/0.43
% 0.20/0.43 ------------> process sos:
% 0.20/0.43 Following clause subsumed by 444 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(A,B,tc_nat)),c_HOL_Otimes__class_Otimes(A,C,tc_nat))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat)),c_HOL_Otimes__class_Otimes(A,B,tc_nat)).
% 0.20/0.43 Following clause subsumed by 454 during input processing: 0 [demod,450] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_Suc(B)),tc_nat).
% 0.20/0.43 Following clause subsumed by 452 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_Suc(B)).
% 0.20/0.43 Following clause subsumed by 473 during input processing: 0 [demod,471] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.20/0.43 Following clause subsumed by 473 during input processing: 0 [demod,471] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.20/0.43 Following clause subsumed by 480 during input processing: 0 [demod,476] {-} c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.20/0.43 Following clause subsumed by 480 during input processing: 0 [demod,490,490] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.43 Following clause subsumed by 480 during input processing: 0 [demod,492,492] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.43 Following clause subsumed by 480 during input processing: 0 [demod,478] {-} c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.20/0.43 Following clause subsumed by 480 during input processing: 0 [demod,511] {-} c_List_Olist_OCons(B,C,A)=c_List_Olist_OCons(B,C,A).
% 0.20/0.43 Following clause subsumed by 520 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.20/0.43 Following clause subsumed by 521 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).
% 0.20/0.43 Following clause subsumed by 521 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.20/0.43 Following clause subsumed by 520 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 0.20/0.43 Following clause subsumed by 525 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 0.20/0.43 Following clause subsumed by 526 during input pr
% 0.20/0.43 -------- PROOF --------
% 0.20/0.43 % SZS status Unsatisfiable
% 0.20/0.43 % SZS output start Refutation
% 0.20/0.43 ocessing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(A),tc_nat).
% 0.20/0.43 Following clause subsumed by 520 during input processing: 0 [unit_del,243] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.20/0.43 Following clause subsumed by 480 during input processing: 0 [demod,546] {-} c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 0.20/0.43 Following clause subsumed by 480 during input processing: 0 [demod,552] {-} A=A.
% 0.20/0.43 Following clause subsumed by 480 during input processing: 0 [demod,555] {-} B=B.
% 0.20/0.43 Following clause subsumed by 480 during input processing: 0 [demod,555] {-} A=A.
% 0.20/0.43 Following clause subsumed by 480 during input processing: 0 [demod,557] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)=hAPP(hAPP(c_Lambda_OdB_OApp,A),B).
% 0.20/0.43 Following clause subsumed by 480 during input processing: 0 [demod,552] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.20/0.43 Following clause subsumed by 480 during input processing: 0 [demod,567] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.20/0.43 Following clause subsumed by 480 during input processing: 0 [demod,567] {-} c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 0.20/0.43 Following clause subsumed by 480 during input processing: 0 [demod,567] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.20/0.43 Following clause subsumed by 480 during input processing: 0 [demod,532] {-} B=B.
% 0.20/0.43
% 0.20/0.43 ----> UNIT CONFLICT at 0.04 sec ----> 576 [binary,575.1,373.1] {-} $F.
% 0.20/0.43
% 0.20/0.43 Length of proof is 0. Level of proof is 0.
% 0.20/0.43
% 0.20/0.43 ---------------- PROOF ----------------
% 0.20/0.43 % SZS status Unsatisfiable
% 0.20/0.43 % SZS output start Refutation
% 0.20/0.43
% 0.20/0.43 373 [] {-} -hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_i))).
% 0.20/0.43 575 [] {-} hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(A))).
% 0.20/0.43 576 [binary,575.1,373.1] {-} $F.
% 0.20/0.43
% 0.20/0.43 % SZS output end Refutation
% 0.20/0.43 ------------ end of proof -------------
% 0.20/0.43
% 0.20/0.43
% 0.20/0.43 Search stopped by max_proofs option.
% 0.20/0.43
% 0.20/0.43
% 0.20/0.43 Search stopped by max_proofs option.
% 0.20/0.43
% 0.20/0.43 ============ end of search ============
% 0.20/0.43
% 0.20/0.43 That finishes the proof of the theorem.
% 0.20/0.43
% 0.20/0.43 Process 31677 finished Sun Jul 3 13:01:36 2022
%------------------------------------------------------------------------------