TSTP Solution File: LAT260-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LAT260-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n028.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 06:46:27 EDT 2022

% Result   : Unsatisfiable 0.43s 0.79s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT260-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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 : Thu Jun 30 15:34:14 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.43/0.74  ----- Otter 3.2, August 2001 -----
% 0.43/0.74  The process was started by sandbox on n028.cluster.edu,
% 0.43/0.74  Thu Jun 30 15:34:15 2022
% 0.43/0.74  The command was "./sos".  The process ID is 26061.
% 0.43/0.74  
% 0.43/0.74  set(prolog_style_variables).
% 0.43/0.74  set(auto).
% 0.43/0.74     dependent: set(auto1).
% 0.43/0.74     dependent: set(process_input).
% 0.43/0.74     dependent: clear(print_kept).
% 0.43/0.74     dependent: clear(print_new_demod).
% 0.43/0.74     dependent: clear(print_back_demod).
% 0.43/0.74     dependent: clear(print_back_sub).
% 0.43/0.74     dependent: set(control_memory).
% 0.43/0.74     dependent: assign(max_mem, 12000).
% 0.43/0.74     dependent: assign(pick_given_ratio, 4).
% 0.43/0.74     dependent: assign(stats_level, 1).
% 0.43/0.74     dependent: assign(pick_semantic_ratio, 3).
% 0.43/0.74     dependent: assign(sos_limit, 5000).
% 0.43/0.74     dependent: assign(max_weight, 60).
% 0.43/0.74  clear(print_given).
% 0.43/0.74  
% 0.43/0.74  list(usable).
% 0.43/0.74  
% 0.43/0.74  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.43/0.74  
% 0.43/0.74  This ia a non-Horn set with equality.  The strategy will be
% 0.43/0.74  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.43/0.74  unit deletion, with positive clauses in sos and nonpositive
% 0.43/0.74  clauses in usable.
% 0.43/0.74  
% 0.43/0.74     dependent: set(knuth_bendix).
% 0.43/0.74     dependent: set(para_from).
% 0.43/0.74     dependent: set(para_into).
% 0.43/0.74     dependent: clear(para_from_right).
% 0.43/0.74     dependent: clear(para_into_right).
% 0.43/0.74     dependent: set(para_from_vars).
% 0.43/0.74     dependent: set(eq_units_both_ways).
% 0.43/0.74     dependent: set(dynamic_demod_all).
% 0.43/0.74     dependent: set(dynamic_demod).
% 0.43/0.74     dependent: set(order_eq).
% 0.43/0.74     dependent: set(back_demod).
% 0.43/0.74     dependent: set(lrpo).
% 0.43/0.74     dependent: set(hyper_res).
% 0.43/0.74     dependent: set(unit_deletion).
% 0.43/0.74     dependent: set(factor).
% 0.43/0.74  
% 0.43/0.74  ------------> process usable:
% 0.43/0.74    Following clause subsumed by 7 during input processing: 0 [] {-} c_Datatype_Ooption_OSome(A,B)!=c_Datatype_Ooption_ONone.
% 0.43/0.74    Following clause subsumed by 39 during input processing: 0 [] {-} c_Equiv__Relations_Oquotient(A,B,C)!=c_emptyset|A=c_emptyset.
% 0.43/0.74    Following clause subsumed by 41 during input processing: 0 [] {-} c_Extraction_Osumbool_ORight!=c_Extraction_Osumbool_OLeft.
% 0.43/0.74    Following clause subsumed by 166 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_IntDef_Oof__int(c_0,A)=c_0.
% 0.43/0.74    Following clause subsumed by 264 during input processing: 0 [] {-} c_append(A,B,C)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.43/0.74    Following clause subsumed by 266 during input processing: 0 [] {-} c_append(A,B,C)!=c_List_Olist_ONil|B=c_List_Olist_ONil.
% 0.43/0.74    Following clause subsumed by 260 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.
% 0.43/0.74    Following clause subsumed by 320 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil.
% 0.43/0.74    Following clause subsumed by 344 during input processing: 0 [flip.1] {-} c_List_Oremdups(A,B)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.43/0.74    Following clause subsumed by 268 during input processing: 0 [] {-} c_List_Orev(A,B)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.43/0.74    Following clause subsumed by 280 during input processing: 0 [flip.1] {-} c_append(B,A,C)!=A|B=c_List_Olist_ONil.
% 0.43/0.74    Following clause subsumed by 281 during input processing: 0 [flip.1] {-} c_append(A,B,C)!=A|B=c_List_Olist_ONil.
% 0.43/0.74    Following clause subsumed by 355 during input processing: 0 [] {-} c_List_Oset(A,B)!=c_emptyset|A=c_List_Olist_ONil.
% 0.43/0.74    Following clause subsumed by 328 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=B.
% 0.43/0.74    Following clause subsumed by 381 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_NatArith_Oof__nat(c_0,A)=c_0.
% 0.43/0.74    Following clause subsumed by 414 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).
% 0.43/0.75    Following clause subsumed by 414 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).
% 0.43/0.75    Following clause subsumed by 414 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).
% 0.43/0.75    Following clause subsumed by 405 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).
% 0.43/0.75    Following clause subsumed by 407 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.
% 0.43/0.75    Following clause subsumed by 409 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.
% 0.43/0.75    Following clause subsumed by 441 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.
% 0.43/0.75    Following clause subsumed by 442 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.
% 0.43/0.75    Following clause subsumed by 443 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.
% 0.43/0.75    Following clause subsumed by 444 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.
% 0.43/0.75    Following clause subsumed by 483 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).
% 0.43/0.75    Following clause subsumed by 572 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_0.
% 0.43/0.75    Following clause subsumed by 656 during input processing: 0 [] {-} c_Numeral_Obit_OB1!=c_Numeral_Obit_OB0.
% 0.43/0.75    Following clause subsumed by 668 during input processing: 0 [] {-} -class_OrderedGroup_Olordered__ab__group__abs(A)|c_HOL_Oabs(B,A)!=c_0|B=c_0.
% 0.43/0.75    Following clause subsumed by 670 during input processing: 0 [] {-} -class_OrderedGroup_Olordered__ab__group__abs(A)|c_HOL_Oabs(c_0,A)=c_0.
% 0.43/0.75    Following clause subsumed by 719 during input processing: 0 [] {-} -class_OrderedGroup_Oab__group__add(A)|c_uminus(c_0,A)=c_0.
% 0.43/0.75    Following clause subsumed by 149 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oaxclass__0__neq__1(A)|c_1!=c_0.
% 0.43/0.75    Following clause subsumed by 870 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.
% 0.43/0.75    Following clause subsumed by 872 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.
% 0.43/0.75    Following clause subsumed by 873 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.
% 0.43/0.75    Following clause subsumed by 874 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.
% 0.43/0.75    Following clause subsumed by 933 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_times(B,C,A)!=B|B=c_0|C=c_1.
% 0.43/0.77    Following clause subsumed by 939 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_times(B,C,A)!=C|C=c_0|B=c_1.
% 0.43/0.77    Following clause subsumed by 869 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.
% 0.43/0.77    Following clause subsumed by 870 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.
% 0.43/0.77    Following clause subsumed by 869 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.
% 0.43/0.77    Following clause subsumed by 870 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.
% 0.43/0.77    Following clause subsumed by 871 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.
% 0.43/0.77    Following clause subsumed by 149 during input processing: 0 [] {-} -class_Ring__and__Field_Oaxclass__0__neq__1(A)|c_1!=c_0.
% 0.43/0.77    Following clause subsumed by 961 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.
% 0.43/0.77    Following clause subsumed by 962 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.
% 0.43/0.77    Following clause subsumed by 1040 during input processing: 0 [flip.2] {-} -c_in(A,B,tc_set(C))|c_Inter(B,C)!=c_UNIV|A=c_UNIV.
% 0.43/0.77    Following clause subsumed by 1063 during input processing: 0 [flip.2] {-} -c_in(A,B,C)|c_inter(B,c_insert(A,D,C),C)!=c_emptyset.
% 0.43/0.77    Following clause subsumed by 1064 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.
% 0.43/0.77    Following clause subsumed by 1065 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.
% 0.43/0.77    Following clause subsumed by 1058 during input processing: 0 [flip.2] {-} -c_in(A,B,tc_set(C))|c_Union(B,C)!=c_emptyset|A=c_emptyset.
% 0.43/0.77    Following clause subsumed by 1072 during input processing: 0 [flip.2] {-} -c_in(A,B,C)|c_inter(c_insert(A,D,C),B,C)!=c_emptyset.
% 0.43/0.77    Following clause subsumed by 1073 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.
% 0.43/0.77    Following clause subsumed by 1074 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.
% 0.43/0.77    Following clause subsumed by 1070 during input processing: 0 [] {-} c_insert(A,B,C)!=c_emptyset.
% 0.43/0.77    Following clause subsumed by 1084 during input processing: 0 [] {-} c_insert(A,c_emptyset,B)!=c_insert(C,c_emptyset,B)|A=C.
% 0.43/0.77    Following clause subsumed by 21 during input processing: 0 [copy,10,flip.1] {-} c_Datatype__Universe_OScons(A,B,C,D)!=c_Datatype__Universe_OAtom(E,C,D).
% 0.43/0.77    Following clause subsumed by 14 during input processing: 0 [copy,12,flip.1] {-} c_Datatype__Universe_OIn1(A,B,C)!=c_Datatype__Universe_OIn0(D,B,C).
% 0.43/0.77    Following clause subsumed by 12 during input processing: 0 [copy,14,flip.1] {-} c_Datatype__Universe_OIn0(A,B,C)!=c_Datatype__Universe_OIn1(D,B,C).
% 0.43/0.77    Following clause subsumed by 17 during input processing: 0 [copy,15,flip.1] {-} c_Datatype__Universe_ONumb(A,B,C)!=c_Datatype__Universe_OLeaf(D,B,C).
% 0.43/0.77    Following clause subsumed by 22 during input processing: 0 [copy,16,flip.1] {-} c_Datatype__Universe_OScons(A,B,C,D)!=c_Datatype__Universe_OLeaf(E,C,D).
% 0.43/0.77    Following clause subsumed by 15 during input processing: 0 [copy,17,flip.1] {-} c_Datatype__Universe_OLeaf(A,B,C)!=c_Datatype__Universe_ONumb(D,B,C).
% 0.43/0.77    Following clause subsumed by 23 during input processing: 0 [copy,18,flip.1] {-} c_Datatype__Universe_OScons(A,B,C,D)!=c_Datatype__Universe_ONumb(E,C,D).
% 0.43/0.79    Following clause subsumed by 10 during input processing: 0 [copy,21,flip.1] {-} c_Datatype__Universe_OAtom(A,B,C)!=c
% 0.43/0.79  -------- PROOF -------- 
% 0.43/0.79  % SZS status Unsatisfiable
% 0.43/0.79  % SZS output start Refutation
% 0.43/0.79  _Datatype__Universe_OScons(D,E,B,C).
% 0.43/0.79    Following clause subsumed by 16 during input processing: 0 [copy,22,flip.1] {-} c_Datatype__Universe_OLeaf(A,B,C)!=c_Datatype__Universe_OScons(D,E,B,C).
% 0.43/0.79    Following clause subsumed by 18 during input processing: 0 [copy,23,flip.1] {-} c_Datatype__Universe_ONumb(A,B,C)!=c_Datatype__Universe_OScons(D,E,B,C).
% 0.43/0.79  154 back subsumes 125.
% 0.43/0.79  614 back subsumes 613.
% 0.43/0.79  713 back subsumes 483.
% 0.43/0.79  713 back subsumes 480.
% 0.43/0.79  835 back subsumes 804.
% 0.43/0.79  836 back subsumes 805.
% 0.43/0.79  837 back subsumes 806.
% 0.43/0.79  841 back subsumes 435.
% 0.43/0.79  949 back subsumes 443.
% 0.43/0.79  968 back subsumes 441.
% 0.43/0.79    Following clause subsumed by 1091 during input processing: 0 [copy,1089,flip.1] {-} c_Sum__Type_OInr(A,B,C)!=c_Sum__Type_OInl(D,C,B).
% 0.43/0.79    Following clause subsumed by 1089 during input processing: 0 [copy,1091,flip.1] {-} c_Sum__Type_OInl(A,B,C)!=c_Sum__Type_OInr(D,C,B).
% 0.43/0.79  
% 0.43/0.79  ------------> process sos:
% 0.43/0.79    Following clause subsumed by 2475 during input processing: 0 [demod,2702] {-} c_List_Olist_ONil=c_List_Olist_ONil.
% 0.43/0.79    Following clause subsumed by 2475 during input processing: 0 [demod,2470] {-} c_List_Olist_ONil=c_List_Olist_ONil.
% 0.43/0.79    Following clause subsumed by 2733 during input processing: 0 [demod,2479] {-} A=A.
% 0.43/0.79    Following clause subsumed by 2733 during input processing: 0 [demod,2740] {-} c_emptyset=c_emptyset.
% 0.43/0.79    Following clause subsumed by 2733 during input processing: 0 [demod,2714,2529] {-} c_List_Olist_OCons(A,c_List_Olist_ONil,B)=c_List_Olist_OCons(A,c_List_Olist_ONil,B).
% 0.43/0.79    Following clause subsumed by 2733 during input processing: 0 [demod,2821,2314] {-} 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).
% 0.43/0.79    Following clause subsumed by 2733 during input processing: 0 [demod,2841] {-} c_0=c_0.
% 0.43/0.79    Following clause subsumed by 2855 during input processing: 0 [] {-} c_less(c_0,c_1,tc_nat).
% 0.43/0.79    Following clause subsumed by 2733 during input processing: 0 [demod,2871,2871] {-} c_0=c_0.
% 0.43/0.79    Following clause subsumed by 2733 during input processing: 0 [demod,2375,2837,2877] {-} c_1=c_1.
% 0.43/0.79    Following clause subsumed by 2733 during input processing: 0 [demod,2902,2908] {-} c_Numeral_OMin=c_Numeral_OMin.
% 0.43/0.79    Following clause subsumed by 2733 during input processing: 0 [demod,3109] {-} c_emptyset=c_emptyset.
% 0.43/0.79    Following clause subsumed by 3142 during input processing: 0 [] {-} c_in(A,c_insert(A,c_emptyset,B),B).
% 0.43/0.79  
% 0.43/0.79  ----> UNIT CONFLICT at   0.18 sec ----> 3342 [binary,3341.1,2123.1] {-} $F.
% 0.43/0.79  
% 0.43/0.79  Length of proof is 0.  Level of proof is 0.
% 0.43/0.79  
% 0.43/0.79  ---------------- PROOF ----------------
% 0.43/0.79  % SZS status Unsatisfiable
% 0.43/0.79  % SZS output start Refutation
% 0.43/0.79  
% 0.43/0.79  2123 [] {-} -c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)).
% 0.43/0.79  3341 [] {-} c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)).
% 0.43/0.79  3342 [binary,3341.1,2123.1] {-} $F.
% 0.43/0.79  
% 0.43/0.79  % SZS output end Refutation
% 0.43/0.79  ------------ end of proof -------------
% 0.43/0.79  
% 0.43/0.79  
% 0.43/0.79  Search stopped by max_proofs option.
% 0.43/0.79  
% 0.43/0.79  
% 0.43/0.79  Search stopped by max_proofs option.
% 0.43/0.79  
% 0.43/0.79  ============ end of search ============
% 0.43/0.79  
% 0.43/0.79  That finishes the proof of the theorem.
% 0.43/0.79  
% 0.43/0.79  Process 26061 finished Thu Jun 30 15:34:15 2022
%------------------------------------------------------------------------------