TSTP Solution File: PUZ063-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : PUZ063-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n032.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 18:27:05 EDT 2022
% Result : Unsatisfiable 0.13s 0.58s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : PUZ063-1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.09 % Command : sos-script %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 600
% 0.12/0.29 % DateTime : Sun May 29 00:39:11 EDT 2022
% 0.12/0.29 % CPUTime :
% 0.13/0.54 ----- Otter 3.2, August 2001 -----
% 0.13/0.54 The process was started by sandbox on n032.cluster.edu,
% 0.13/0.54 Sun May 29 00:39:11 2022
% 0.13/0.54 The command was "./sos". The process ID is 18829.
% 0.13/0.54
% 0.13/0.54 set(prolog_style_variables).
% 0.13/0.54 set(auto).
% 0.13/0.54 dependent: set(auto1).
% 0.13/0.54 dependent: set(process_input).
% 0.13/0.54 dependent: clear(print_kept).
% 0.13/0.54 dependent: clear(print_new_demod).
% 0.13/0.54 dependent: clear(print_back_demod).
% 0.13/0.54 dependent: clear(print_back_sub).
% 0.13/0.54 dependent: set(control_memory).
% 0.13/0.54 dependent: assign(max_mem, 12000).
% 0.13/0.54 dependent: assign(pick_given_ratio, 4).
% 0.13/0.54 dependent: assign(stats_level, 1).
% 0.13/0.54 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.54 dependent: assign(sos_limit, 5000).
% 0.13/0.54 dependent: assign(max_weight, 60).
% 0.13/0.54 clear(print_given).
% 0.13/0.54
% 0.13/0.54 list(usable).
% 0.13/0.54
% 0.13/0.54 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.13/0.54
% 0.13/0.54 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.54 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.54 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.54 clauses in usable.
% 0.13/0.54
% 0.13/0.54 dependent: set(knuth_bendix).
% 0.13/0.54 dependent: set(para_from).
% 0.13/0.54 dependent: set(para_into).
% 0.13/0.54 dependent: clear(para_from_right).
% 0.13/0.54 dependent: clear(para_into_right).
% 0.13/0.54 dependent: set(para_from_vars).
% 0.13/0.54 dependent: set(eq_units_both_ways).
% 0.13/0.54 dependent: set(dynamic_demod_all).
% 0.13/0.54 dependent: set(dynamic_demod).
% 0.13/0.54 dependent: set(order_eq).
% 0.13/0.54 dependent: set(back_demod).
% 0.13/0.54 dependent: set(lrpo).
% 0.13/0.54 dependent: set(hyper_res).
% 0.13/0.54 dependent: set(unit_deletion).
% 0.13/0.54 dependent: set(factor).
% 0.13/0.54
% 0.13/0.54 ------------> process usable:
% 0.13/0.54 Following clause subsumed by 4 during input processing: 0 [] {-} c_Datatype_Ooption_OSome(A,B)!=c_Datatype_Ooption_ONone.
% 0.13/0.54 Following clause subsumed by 36 during input processing: 0 [] {-} c_Equiv__Relations_Oquotient(A,B,C)!=c_emptyset|A=c_emptyset.
% 0.13/0.54 Following clause subsumed by 38 during input processing: 0 [] {-} c_Extraction_Osumbool_ORight!=c_Extraction_Osumbool_OLeft.
% 0.13/0.54 Following clause subsumed by 163 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_IntDef_Oof__int(c_0,A)=c_0.
% 0.13/0.54 Following clause subsumed by 261 during input processing: 0 [] {-} c_append(A,B,C)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.13/0.54 Following clause subsumed by 263 during input processing: 0 [] {-} c_append(A,B,C)!=c_List_Olist_ONil|B=c_List_Olist_ONil.
% 0.13/0.54 Following clause subsumed by 257 during input processing: 0 [] {-} -c_in(A,c_List_Oset(B,tc_List_Olist(C)),tc_List_Olist(C))|c_List_Oconcat(B,C)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.13/0.54 Following clause subsumed by 317 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil.
% 0.13/0.54 Following clause subsumed by 341 during input processing: 0 [flip.1] {-} c_List_Oremdups(A,B)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.13/0.54 Following clause subsumed by 265 during input processing: 0 [] {-} c_List_Orev(A,B)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.13/0.54 Following clause subsumed by 277 during input processing: 0 [flip.1] {-} c_append(B,A,C)!=A|B=c_List_Olist_ONil.
% 0.13/0.54 Following clause subsumed by 278 during input processing: 0 [flip.1] {-} c_append(A,B,C)!=A|B=c_List_Olist_ONil.
% 0.13/0.54 Following clause subsumed by 352 during input processing: 0 [] {-} c_List_Oset(A,B)!=c_emptyset|A=c_List_Olist_ONil.
% 0.13/0.54 Following clause subsumed by 325 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=B.
% 0.13/0.54 Following clause subsumed by 378 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_NatArith_Oof__nat(c_0,A)=c_0.
% 0.13/0.54 Following clause subsumed by 411 during input processing: 0 [] {-} -c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(A,c_Numeral_Obin__minus(B)),tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oneg(c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_Numeral_Onumber__of(B,tc_nat).
% 0.13/0.54 Following clause subsumed by 411 during input processing: 0 [] {-} -c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oneg(c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint)|c_IntDef_Oneg(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_Numeral_Onumber__of(B,tc_nat).
% 0.13/0.54 Following clause subsumed by 411 during input processing: 0 [] {-} -c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oiszero(c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oneg(c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_Numeral_Onumber__of(B,tc_nat).
% 0.13/0.54 Following clause subsumed by 402 during input processing: 0 [] {-} c_Numeral_Onumber__of(A,tc_nat)!=c_0|c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)|c_IntDef_Oneg(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint).
% 0.13/0.54 Following clause subsumed by 404 during input processing: 0 [] {-} -c_IntDef_Oneg(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_0.
% 0.13/0.54 Following clause subsumed by 406 during input processing: 0 [] {-} -c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_0.
% 0.13/0.54 Following clause subsumed by 438 during input processing: 0 [] {-} -class_Numeral_Onumber(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_Numeral_Onumber__of(B,A)=c_0|c_times(c_divide(C,c_Numeral_Onumber__of(B,A),A),c_Numeral_Onumber__of(B,A),A)=C.
% 0.13/0.54 Following clause subsumed by 439 during input processing: 0 [flip.5] {-} -class_Numeral_Onumber(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_Numeral_Onumber__of(B,A)!=c_0|c_divide(C,c_Numeral_Onumber__of(B,A),A)=c_0.
% 0.13/0.54 Following clause subsumed by 440 during input processing: 0 [flip.4] {-} -class_Numeral_Onumber(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_times(B,c_Numeral_Onumber__of(C,A),A),c_Numeral_Onumber__of(C,A),A)=B|c_Numeral_Onumber__of(C,A)=c_0.
% 0.13/0.54 Following clause subsumed by 441 during input processing: 0 [flip.4] {-} -class_Numeral_Onumber(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_times(c_0,c_Numeral_Onumber__of(B,A),A),c_Numeral_Onumber__of(B,A),A)=c_0.
% 0.13/0.54 Following clause subsumed by 480 during input processing: 0 [] {-} -class_Numeral_Onumber(A)| -class_OrderedGroup_Oab__group__add(A)|c_uminus(c_uminus(c_Numeral_Onumber__of(B,A),A),A)=c_Numeral_Onumber__of(B,A).
% 0.13/0.54 Following clause subsumed by 569 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_0.
% 0.13/0.54 Following clause subsumed by 653 during input processing: 0 [] {-} c_Numeral_Obit_OB1!=c_Numeral_Obit_OB0.
% 0.13/0.54 Following clause subsumed by 665 during input processing: 0 [] {-} -class_OrderedGroup_Olordered__ab__group__abs(A)|c_HOL_Oabs(B,A)!=c_0|B=c_0.
% 0.13/0.54 Following clause subsumed by 667 during input processing: 0 [] {-} -class_OrderedGroup_Olordered__ab__group__abs(A)|c_HOL_Oabs(c_0,A)=c_0.
% 0.13/0.54 Following clause subsumed by 716 during input processing: 0 [] {-} -class_OrderedGroup_Oab__group__add(A)|c_uminus(c_0,A)=c_0.
% 0.13/0.54 Following clause subsumed by 146 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oaxclass__0__neq__1(A)|c_1!=c_0.
% 0.13/0.54 Following clause subsumed by 867 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_0,c_0,A)=c_0.
% 0.13/0.54 Following clause subsumed by 869 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|c_divide(B,c_0,A)!=c_1.
% 0.13/0.54 Following clause subsumed by 870 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|c_divide(B,C,A)!=c_1|C=B.
% 0.13/0.54 Following clause subsumed by 871 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|B=c_0|c_divide(B,B,A)=c_1.
% 0.13/0.54 Following clause subsumed by 930 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_times(B,C,A)!=B|B=c_0|C=c_1.
% 0.13/0.55 Following clause subsumed by 936 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_times(B,C,A)!=C|C=c_0|B=c_1.
% 0.13/0.55 Following clause subsumed by 866 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_0,c_times(c_0,B,A),A)=c_0.
% 0.13/0.55 Following clause subsumed by 867 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_times(c_0,B,A),c_0,A)=c_0.
% 0.13/0.55 Following clause subsumed by 866 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_0,c_times(B,c_0,A),A)=c_0.
% 0.13/0.55 Following clause subsumed by 867 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_times(B,c_0,A),c_0,A)=c_0.
% 0.13/0.55 Following clause subsumed by 868 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(B,C,A)!=c_1|B=C.
% 0.13/0.55 Following clause subsumed by 146 during input processing: 0 [] {-} -class_Ring__and__Field_Oaxclass__0__neq__1(A)|c_1!=c_0.
% 0.13/0.55 Following clause subsumed by 958 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|c_divide(c_1,B,A)!=c_0|B=c_0.
% 0.13/0.55 Following clause subsumed by 959 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|c_divide(c_1,c_0,A)=c_0.
% 0.13/0.55 Following clause subsumed by 1037 during input processing: 0 [flip.2] {-} -c_in(A,B,tc_set(C))|c_Inter(B,C)!=c_UNIV|A=c_UNIV.
% 0.13/0.55 Following clause subsumed by 1060 during input processing: 0 [flip.2] {-} -c_in(A,B,C)|c_inter(B,c_insert(A,D,C),C)!=c_emptyset.
% 0.13/0.55 Following clause subsumed by 1061 during input processing: 0 [flip.1,flip.2] {-} c_inter(A,c_insert(B,C,D),D)!=c_emptyset|c_inter(A,C,D)=c_emptyset.
% 0.13/0.55 Following clause subsumed by 1062 during input processing: 0 [flip.1,flip.3] {-} c_inter(A,B,C)!=c_emptyset|c_in(D,A,C)|c_inter(A,c_insert(D,B,C),C)=c_emptyset.
% 0.13/0.55 Following clause subsumed by 1055 during input processing: 0 [flip.2] {-} -c_in(A,B,tc_set(C))|c_Union(B,C)!=c_emptyset|A=c_emptyset.
% 0.13/0.55 Following clause subsumed by 1069 during input processing: 0 [flip.2] {-} -c_in(A,B,C)|c_inter(c_insert(A,D,C),B,C)!=c_emptyset.
% 0.13/0.55 Following clause subsumed by 1070 during input processing: 0 [flip.1,flip.2] {-} c_inter(c_insert(A,B,C),D,C)!=c_emptyset|c_inter(B,D,C)=c_emptyset.
% 0.13/0.55 Following clause subsumed by 1071 during input processing: 0 [flip.1,flip.3] {-} c_inter(A,B,C)!=c_emptyset|c_in(D,B,C)|c_inter(c_insert(D,A,C),B,C)=c_emptyset.
% 0.13/0.55 Following clause subsumed by 1067 during input processing: 0 [] {-} c_insert(A,B,C)!=c_emptyset.
% 0.13/0.55 Following clause subsumed by 1081 during input processing: 0 [] {-} c_insert(A,c_emptyset,B)!=c_insert(C,c_emptyset,B)|A=C.
% 0.13/0.55 Following clause subsumed by 18 during input processing: 0 [copy,7,flip.1] {-} c_Datatype__Universe_OScons(A,B,C,D)!=c_Datatype__Universe_OAtom(E,C,D).
% 0.13/0.55 Following clause subsumed by 11 during input processing: 0 [copy,9,flip.1] {-} c_Datatype__Universe_OIn1(A,B,C)!=c_Datatype__Universe_OIn0(D,B,C).
% 0.13/0.55 Following clause subsumed by 9 during input processing: 0 [copy,11,flip.1] {-} c_Datatype__Universe_OIn0(A,B,C)!=c_Datatype__Universe_OIn1(D,B,C).
% 0.13/0.55 Following clause subsumed by 14 during input processing: 0 [copy,12,flip.1] {-} c_Datatype__Universe_ONumb(A,B,C)!=c_Datatype__Universe_OLeaf(D,B,C).
% 0.13/0.55 Following clause subsumed by 19 during input processing: 0 [copy,13,flip.1] {-} c_Datatype__Universe_OScons(A,B,C,D)!=c_Datatype__Universe_OLeaf(E,C,D).
% 0.13/0.55 Following clause subsumed by 12 during input processing: 0 [copy,14,flip.1] {-} c_Datatype__Universe_OLeaf(A,B,C)!=c_Datatype__Universe_ONumb(D,B,C).
% 0.13/0.55 Following clause subsumed by 20 during input processing: 0 [copy,15,flip.1] {-} c_Datatype__Universe_OScons(A,B,C,D)!=c_Datatype__Universe_ONumb(E,C,D).
% 0.13/0.58 Following clause subsumed by 7 during input processing: 0 [copy,18,flip.1] {-} c_Datatype__Universe_OAtom(A,B,C)!=c_Dat
% 0.13/0.58 -------- PROOF --------
% 0.13/0.58 % SZS status Unsatisfiable
% 0.13/0.58 % SZS output start Refutation
% 0.13/0.58 atype__Universe_OScons(D,E,B,C).
% 0.13/0.58 Following clause subsumed by 13 during input processing: 0 [copy,19,flip.1] {-} c_Datatype__Universe_OLeaf(A,B,C)!=c_Datatype__Universe_OScons(D,E,B,C).
% 0.13/0.58 Following clause subsumed by 15 during input processing: 0 [copy,20,flip.1] {-} c_Datatype__Universe_ONumb(A,B,C)!=c_Datatype__Universe_OScons(D,E,B,C).
% 0.13/0.58 151 back subsumes 122.
% 0.13/0.58 611 back subsumes 610.
% 0.13/0.58 710 back subsumes 480.
% 0.13/0.58 710 back subsumes 477.
% 0.13/0.58 832 back subsumes 801.
% 0.13/0.58 833 back subsumes 802.
% 0.13/0.58 834 back subsumes 803.
% 0.13/0.58 838 back subsumes 432.
% 0.13/0.58 946 back subsumes 440.
% 0.13/0.58 965 back subsumes 438.
% 0.13/0.58 Following clause subsumed by 1088 during input processing: 0 [copy,1086,flip.1] {-} c_Sum__Type_OInr(A,B,C)!=c_Sum__Type_OInl(D,C,B).
% 0.13/0.58 Following clause subsumed by 1086 during input processing: 0 [copy,1088,flip.1] {-} c_Sum__Type_OInl(A,B,C)!=c_Sum__Type_OInr(D,C,B).
% 0.13/0.58
% 0.13/0.58 ------------> process sos:
% 0.13/0.58 Following clause subsumed by 2457 during input processing: 0 [demod,2684] {-} c_List_Olist_ONil=c_List_Olist_ONil.
% 0.13/0.58 Following clause subsumed by 2457 during input processing: 0 [demod,2452] {-} c_List_Olist_ONil=c_List_Olist_ONil.
% 0.13/0.58 Following clause subsumed by 2715 during input processing: 0 [demod,2461] {-} A=A.
% 0.13/0.58 Following clause subsumed by 2715 during input processing: 0 [demod,2722] {-} c_emptyset=c_emptyset.
% 0.13/0.58 Following clause subsumed by 2715 during input processing: 0 [demod,2696,2511] {-} c_List_Olist_OCons(A,c_List_Olist_ONil,B)=c_List_Olist_OCons(A,c_List_Olist_ONil,B).
% 0.13/0.58 Following clause subsumed by 2715 during input processing: 0 [demod,2803,2296] {-} c_Divides_Oop_Amod(A,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat)=c_Divides_Oop_Amod(A,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat).
% 0.13/0.58 Following clause subsumed by 2715 during input processing: 0 [demod,2823] {-} c_0=c_0.
% 0.13/0.58 Following clause subsumed by 2837 during input processing: 0 [] {-} c_less(c_0,c_1,tc_nat).
% 0.13/0.58 Following clause subsumed by 2715 during input processing: 0 [demod,2853,2853] {-} c_0=c_0.
% 0.13/0.58 Following clause subsumed by 2715 during input processing: 0 [demod,2357,2819,2859] {-} c_1=c_1.
% 0.13/0.58 Following clause subsumed by 2715 during input processing: 0 [demod,2884,2890] {-} c_Numeral_OMin=c_Numeral_OMin.
% 0.13/0.58 Following clause subsumed by 2715 during input processing: 0 [demod,3091] {-} c_emptyset=c_emptyset.
% 0.13/0.58 Following clause subsumed by 3124 during input processing: 0 [] {-} c_in(A,c_insert(A,c_emptyset,B),B).
% 0.13/0.58 Following clause subsumed by 2715 during input processing: 0 [demod,3063] {-} c_emptyset=c_emptyset.
% 0.13/0.58 Following clause subsumed by 2715 during input processing: 0 [] {-} A=A.
% 0.13/0.58 2290 back subsumes 2289.
% 0.13/0.58 2290 back subsumes 2288.
% 0.13/0.58 Following clause subsumed by 2715 during input processing: 0 [copy,2317,flip.1] {-} c_emptyset=c_emptyset.
% 0.13/0.58 2421 back subsumes 2420.
% 0.13/0.58 Following clause subsumed by 2715 during input processing: 0 [copy,2457,flip.1] {-} c_List_Olist_ONil=c_List_Olist_ONil.
% 0.13/0.58 Following clause subsumed by 2715 during input processing: 0 [copy,2517,flip.1] {-} c_List_Olast(A,B)=c_List_Olast(A,B).
% 0.13/0.58 Following clause subsumed by 2715 during input processing: 0 [copy,2708,flip.1] {-} c_List_Olist_OCons(A,c_List_Olist_ONil,B)=c_List_Olist_OCons(A,c_List_Olist_ONil,B).
% 0.13/0.58 Following clause subsumed by 2715 during input processing: 0 [copy,2715,flip.1] {-} A=A.
% 0.13/0.58 2715 back subsumes 2708.
% 0.13/0.58 2715 back subsumes 2517.
% 0.13/0.58 2715 back subsumes 2457.
% 0.13/0.58 2715 back subsumes 2317.
% 0.13/0.58 2715 back subsumes 2214.
% 0.13/0.58 2715 back subsumes 2212.
% 0.13/0.58 2715 back subsumes 2136.
% 0.13/0.58 2715 back subsumes 2135.
% 0.13/0.58 2715 back subsumes 2133.
% 0.13/0.58 2715 back subsumes 2120.
% 0.13/0.58 Following clause subsumed by 2715 during input processing: 0 [copy,2856,flip.1,demod,2864,2864] {-} c_0=c_0.
% 0.13/0.58
% 0.13/0.58 ----> UNIT CONFLICT at 0.10 sec ----> 3553 [binary,3552.1,3325.1] {-} $F.
% 0.13/0.58
% 0.13/0.58 Length of proof is 1. Level of proof is 1.
% 0.13/0.58
% 0.13/0.58 ---------------- PROOF ----------------
% 0.13/0.58 % SZS status Unsatisfiable
% 0.13/0.58 % SZS output start Refutation
% 0.13/0.58
% 0.13/0.58 2117 [] {-} -c_in(c_union(c_emptyset,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)).
% 0.13/0.58 3093,3092 [] {-} c_union(c_emptyset,A,B)=A.
% 0.13/0.58 3325 [] {-} c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)).
% 0.13/0.58 3552 [back_demod,2117,demod,3093] {-} -c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)).
% 0.13/0.58 3553 [binary,3552.1,3325.1] {-} $F.
% 0.13/0.58
% 0.13/0.58 % SZS output end Refutation
% 0.13/0.58 ------------ end of proof -------------
% 0.13/0.58
% 0.13/0.58
% 0.13/0.58 Search stopped by max_proofs option.
% 0.13/0.58
% 0.13/0.58
% 0.13/0.58 Search stopped by max_proofs option.
% 0.13/0.58
% 0.13/0.58 ============ end of search ============
% 0.13/0.58
% 0.13/0.58 That finishes the proof of the theorem.
% 0.13/0.58
% 0.13/0.58 Process 18829 finished Sun May 29 00:39:11 2022
%------------------------------------------------------------------------------