TSTP Solution File: ANA041-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : ANA041-1 : TPTP v8.1.0. Released v3.2.0.
% 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 : Thu Jul 14 19:28:00 EDT 2022

% Result   : Unsatisfiable 0.49s 0.79s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14  % Problem  : ANA041-1 : TPTP v8.1.0. Released v3.2.0.
% 0.05/0.15  % Command  : sos-script %s
% 0.16/0.37  % Computer : n025.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 600
% 0.16/0.37  % DateTime : Fri Jul  8 05:58:44 EDT 2022
% 0.16/0.37  % CPUTime  : 
% 0.49/0.73  ----- Otter 3.2, August 2001 -----
% 0.49/0.73  The process was started by sandbox2 on n025.cluster.edu,
% 0.49/0.73  Fri Jul  8 05:58:45 2022
% 0.49/0.73  The command was "./sos".  The process ID is 16426.
% 0.49/0.73  
% 0.49/0.73  set(prolog_style_variables).
% 0.49/0.73  set(auto).
% 0.49/0.73     dependent: set(auto1).
% 0.49/0.73     dependent: set(process_input).
% 0.49/0.73     dependent: clear(print_kept).
% 0.49/0.73     dependent: clear(print_new_demod).
% 0.49/0.73     dependent: clear(print_back_demod).
% 0.49/0.73     dependent: clear(print_back_sub).
% 0.49/0.73     dependent: set(control_memory).
% 0.49/0.73     dependent: assign(max_mem, 12000).
% 0.49/0.73     dependent: assign(pick_given_ratio, 4).
% 0.49/0.73     dependent: assign(stats_level, 1).
% 0.49/0.73     dependent: assign(pick_semantic_ratio, 3).
% 0.49/0.73     dependent: assign(sos_limit, 5000).
% 0.49/0.73     dependent: assign(max_weight, 60).
% 0.49/0.73  clear(print_given).
% 0.49/0.73  
% 0.49/0.73  list(usable).
% 0.49/0.73  
% 0.49/0.73  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.49/0.73  
% 0.49/0.73  This ia a non-Horn set with equality.  The strategy will be
% 0.49/0.73  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.49/0.73  unit deletion, with positive clauses in sos and nonpositive
% 0.49/0.73  clauses in usable.
% 0.49/0.73  
% 0.49/0.73     dependent: set(knuth_bendix).
% 0.49/0.73     dependent: set(para_from).
% 0.49/0.73     dependent: set(para_into).
% 0.49/0.73     dependent: clear(para_from_right).
% 0.49/0.73     dependent: clear(para_into_right).
% 0.49/0.73     dependent: set(para_from_vars).
% 0.49/0.73     dependent: set(eq_units_both_ways).
% 0.49/0.73     dependent: set(dynamic_demod_all).
% 0.49/0.73     dependent: set(dynamic_demod).
% 0.49/0.73     dependent: set(order_eq).
% 0.49/0.73     dependent: set(back_demod).
% 0.49/0.73     dependent: set(lrpo).
% 0.49/0.73     dependent: set(hyper_res).
% 0.49/0.73     dependent: set(unit_deletion).
% 0.49/0.73     dependent: set(factor).
% 0.49/0.73  
% 0.49/0.73  ------------> process usable:
% 0.49/0.73    Following clause subsumed by 57 during input processing: 0 [] {-} c_Datatype_Ooption_OSome(A,B)!=c_Datatype_Ooption_ONone.
% 0.49/0.73    Following clause subsumed by 89 during input processing: 0 [] {-} c_Equiv__Relations_Oquotient(A,B,C)!=c_emptyset|A=c_emptyset.
% 0.49/0.73    Following clause subsumed by 91 during input processing: 0 [] {-} c_Extraction_Osumbool_ORight!=c_Extraction_Osumbool_OLeft.
% 0.49/0.73    Following clause subsumed by 216 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_IntDef_Oof__int(c_0,A)=c_0.
% 0.49/0.73    Following clause subsumed by 314 during input processing: 0 [] {-} c_append(A,B,C)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.49/0.73    Following clause subsumed by 316 during input processing: 0 [] {-} c_append(A,B,C)!=c_List_Olist_ONil|B=c_List_Olist_ONil.
% 0.49/0.73    Following clause subsumed by 310 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.
% 0.49/0.73    Following clause subsumed by 370 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil.
% 0.49/0.73    Following clause subsumed by 394 during input processing: 0 [flip.1] {-} c_List_Oremdups(A,B)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.49/0.73    Following clause subsumed by 318 during input processing: 0 [] {-} c_List_Orev(A,B)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.49/0.73    Following clause subsumed by 330 during input processing: 0 [flip.1] {-} c_append(B,A,C)!=A|B=c_List_Olist_ONil.
% 0.49/0.73    Following clause subsumed by 331 during input processing: 0 [flip.1] {-} c_append(A,B,C)!=A|B=c_List_Olist_ONil.
% 0.49/0.73    Following clause subsumed by 405 during input processing: 0 [] {-} c_List_Oset(A,B)!=c_emptyset|A=c_List_Olist_ONil.
% 0.49/0.73    Following clause subsumed by 378 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=B.
% 0.49/0.73    Following clause subsumed by 431 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_NatArith_Oof__nat(c_0,A)=c_0.
% 0.49/0.73    Following clause subsumed by 464 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).
% 0.49/0.74    Following clause subsumed by 464 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).
% 0.49/0.74    Following clause subsumed by 464 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).
% 0.49/0.74    Following clause subsumed by 455 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).
% 0.49/0.74    Following clause subsumed by 457 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.
% 0.49/0.75    Following clause subsumed by 459 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.
% 0.49/0.75    Following clause subsumed by 491 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.
% 0.49/0.75    Following clause subsumed by 492 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.
% 0.49/0.75    Following clause subsumed by 493 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.
% 0.49/0.75    Following clause subsumed by 494 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.
% 0.49/0.75    Following clause subsumed by 533 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).
% 0.49/0.75    Following clause subsumed by 622 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_0.
% 0.49/0.75    Following clause subsumed by 706 during input processing: 0 [] {-} c_Numeral_Obit_OB1!=c_Numeral_Obit_OB0.
% 0.49/0.75    Following clause subsumed by 718 during input processing: 0 [] {-} -class_OrderedGroup_Olordered__ab__group__abs(A)|c_HOL_Oabs(B,A)!=c_0|B=c_0.
% 0.49/0.75    Following clause subsumed by 720 during input processing: 0 [] {-} -class_OrderedGroup_Olordered__ab__group__abs(A)|c_HOL_Oabs(c_0,A)=c_0.
% 0.49/0.75    Following clause subsumed by 769 during input processing: 0 [] {-} -class_OrderedGroup_Oab__group__add(A)|c_uminus(c_0,A)=c_0.
% 0.49/0.75    Following clause subsumed by 199 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oaxclass__0__neq__1(A)|c_1!=c_0.
% 0.49/0.75    Following clause subsumed by 920 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.
% 0.49/0.75    Following clause subsumed by 922 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.
% 0.49/0.75    Following clause subsumed by 923 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.
% 0.49/0.75    Following clause subsumed by 924 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.
% 0.49/0.75    Following clause subsumed by 983 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_times(B,C,A)!=B|B=c_0|C=c_1.
% 0.49/0.76    Following clause subsumed by 989 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_times(B,C,A)!=C|C=c_0|B=c_1.
% 0.49/0.76    Following clause subsumed by 919 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.
% 0.49/0.76    Following clause subsumed by 920 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.
% 0.49/0.76    Following clause subsumed by 919 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.
% 0.49/0.76    Following clause subsumed by 920 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.
% 0.49/0.76    Following clause subsumed by 921 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.
% 0.49/0.76    Following clause subsumed by 199 during input processing: 0 [] {-} -class_Ring__and__Field_Oaxclass__0__neq__1(A)|c_1!=c_0.
% 0.49/0.76    Following clause subsumed by 1011 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.
% 0.49/0.76    Following clause subsumed by 1012 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.
% 0.49/0.76    Following clause subsumed by 1090 during input processing: 0 [flip.2] {-} -c_in(A,B,tc_set(C))|c_Inter(B,C)!=c_UNIV|A=c_UNIV.
% 0.49/0.76    Following clause subsumed by 1113 during input processing: 0 [flip.2] {-} -c_in(A,B,C)|c_inter(B,c_insert(A,D,C),C)!=c_emptyset.
% 0.49/0.76    Following clause subsumed by 1114 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.
% 0.49/0.76    Following clause subsumed by 1115 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.
% 0.49/0.76    Following clause subsumed by 1108 during input processing: 0 [flip.2] {-} -c_in(A,B,tc_set(C))|c_Union(B,C)!=c_emptyset|A=c_emptyset.
% 0.49/0.76    Following clause subsumed by 1122 during input processing: 0 [flip.2] {-} -c_in(A,B,C)|c_inter(c_insert(A,D,C),B,C)!=c_emptyset.
% 0.49/0.76    Following clause subsumed by 1123 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.
% 0.49/0.76    Following clause subsumed by 1124 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.
% 0.49/0.76    Following clause subsumed by 1120 during input processing: 0 [] {-} c_insert(A,B,C)!=c_emptyset.
% 0.49/0.76    Following clause subsumed by 1134 during input processing: 0 [] {-} c_insert(A,c_emptyset,B)!=c_insert(C,c_emptyset,B)|A=C.
% 0.49/0.76    Following clause subsumed by 71 during input processing: 0 [copy,60,flip.1] {-} c_Datatype__Universe_OScons(A,B,C,D)!=c_Datatype__Universe_OAtom(E,C,D).
% 0.49/0.76    Following clause subsumed by 64 during input processing: 0 [copy,62,flip.1] {-} c_Datatype__Universe_OIn1(A,B,C)!=c_Datatype__Universe_OIn0(D,B,C).
% 0.49/0.76    Following clause subsumed by 62 during input processing: 0 [copy,64,flip.1] {-} c_Datatype__Universe_OIn0(A,B,C)!=c_Datatype__Universe_OIn1(D,B,C).
% 0.49/0.76    Following clause subsumed by 67 during input processing: 0 [copy,65,flip.1] {-} c_Datatype__Universe_ONumb(A,B,C)!=c_Datatype__Universe_OLeaf(D,B,C).
% 0.49/0.76    Following clause subsumed by 72 during input processing: 0 [copy,66,flip.1] {-} c_Datatype__Universe_OScons(A,B,C,D)!=c_Datatype__Universe_OLeaf(E,C,D).
% 0.49/0.76    Following clause subsumed by 65 during input processing: 0 [copy,67,flip.1] {-} c_Datatype__Universe_OLeaf(A,B,C)!=c_Datatype__Universe_ONumb(D,B,C).
% 0.49/0.76    Following clause subsumed by 73 during input processing: 0 [copy,68,flip.1] {-} c_Datatype__Universe_OScons(A,B,C,D)!=c_Datatype__Universe_ONumb(E,C,D).
% 0.49/0.79    Following clause subsumed by 60 during input processing: 0 [copy,71,flip.1] {-} c_Datatype__Universe_OAtom(A,B,C
% 0.49/0.79  -------- PROOF -------- 
% 0.49/0.79  % SZS status Unsatisfiable
% 0.49/0.79  % SZS output start Refutation
% 0.49/0.79  )!=c_Datatype__Universe_OScons(D,E,B,C).
% 0.49/0.79    Following clause subsumed by 66 during input processing: 0 [copy,72,flip.1] {-} c_Datatype__Universe_OLeaf(A,B,C)!=c_Datatype__Universe_OScons(D,E,B,C).
% 0.49/0.79    Following clause subsumed by 68 during input processing: 0 [copy,73,flip.1] {-} c_Datatype__Universe_ONumb(A,B,C)!=c_Datatype__Universe_OScons(D,E,B,C).
% 0.49/0.79  204 back subsumes 175.
% 0.49/0.79  664 back subsumes 663.
% 0.49/0.79  763 back subsumes 533.
% 0.49/0.79  763 back subsumes 530.
% 0.49/0.79  885 back subsumes 854.
% 0.49/0.79  886 back subsumes 855.
% 0.49/0.79  887 back subsumes 856.
% 0.49/0.79  891 back subsumes 485.
% 0.49/0.79  999 back subsumes 493.
% 0.49/0.79  1018 back subsumes 491.
% 0.49/0.79    Following clause subsumed by 1141 during input processing: 0 [copy,1139,flip.1] {-} c_Sum__Type_OInr(A,B,C)!=c_Sum__Type_OInl(D,C,B).
% 0.49/0.79    Following clause subsumed by 1139 during input processing: 0 [copy,1141,flip.1] {-} c_Sum__Type_OInl(A,B,C)!=c_Sum__Type_OInr(D,C,B).
% 0.49/0.79  
% 0.49/0.79  ------------> process sos:
% 0.49/0.79    Following clause subsumed by 2515 during input processing: 0 [demod,2742] {-} c_List_Olist_ONil=c_List_Olist_ONil.
% 0.49/0.79    Following clause subsumed by 2515 during input processing: 0 [demod,2510] {-} c_List_Olist_ONil=c_List_Olist_ONil.
% 0.49/0.79    Following clause subsumed by 2773 during input processing: 0 [demod,2519] {-} A=A.
% 0.49/0.79    Following clause subsumed by 2773 during input processing: 0 [demod,2780] {-} c_emptyset=c_emptyset.
% 0.49/0.79    Following clause subsumed by 2773 during input processing: 0 [demod,2754,2569] {-} c_List_Olist_OCons(A,c_List_Olist_ONil,B)=c_List_Olist_OCons(A,c_List_Olist_ONil,B).
% 0.49/0.79    Following clause subsumed by 2773 during input processing: 0 [demod,2861,2354] {-} 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).
% 0.49/0.79    Following clause subsumed by 2773 during input processing: 0 [demod,2881] {-} c_0=c_0.
% 0.49/0.79    Following clause subsumed by 2895 during input processing: 0 [] {-} c_less(c_0,c_1,tc_nat).
% 0.49/0.79    Following clause subsumed by 2773 during input processing: 0 [demod,2911,2911] {-} c_0=c_0.
% 0.49/0.79    Following clause subsumed by 2773 during input processing: 0 [demod,2415,2877,2917] {-} c_1=c_1.
% 0.49/0.79    Following clause subsumed by 2773 during input processing: 0 [demod,2942,2948] {-} c_Numeral_OMin=c_Numeral_OMin.
% 0.49/0.79    Following clause subsumed by 2773 during input processing: 0 [demod,3149] {-} c_emptyset=c_emptyset.
% 0.49/0.79    Following clause subsumed by 3182 during input processing: 0 [] {-} c_in(A,c_insert(A,c_emptyset,B),B).
% 0.49/0.79  
% 0.49/0.79  ----> UNIT CONFLICT at   0.14 sec ----> 3377 [binary,3376.1,2171.1] {-} $F.
% 0.49/0.79  
% 0.49/0.79  Length of proof is 0.  Level of proof is 0.
% 0.49/0.79  
% 0.49/0.79  ---------------- PROOF ----------------
% 0.49/0.79  % SZS status Unsatisfiable
% 0.49/0.79  % SZS output start Refutation
% 0.49/0.79  
% 0.49/0.79  2171 [] {-} -c_lessequals(c_0,v_h(v_xa,v_xb),t_c).
% 0.49/0.79  3376 [] {-} c_lessequals(c_0,v_h(A,B),t_c).
% 0.49/0.79  3377 [binary,3376.1,2171.1] {-} $F.
% 0.49/0.79  
% 0.49/0.79  % SZS output end Refutation
% 0.49/0.79  ------------ end of proof -------------
% 0.49/0.79  
% 0.49/0.79  
% 0.49/0.79  Search stopped by max_proofs option.
% 0.49/0.79  
% 0.49/0.79  
% 0.49/0.79  Search stopped by max_proofs option.
% 0.49/0.79  
% 0.49/0.79  ============ end of search ============
% 0.49/0.79  
% 0.49/0.79  That finishes the proof of the theorem.
% 0.49/0.79  
% 0.49/0.79  Process 16426 finished Fri Jul  8 05:58:45 2022
%------------------------------------------------------------------------------