%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT089+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n006.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 : 300s
% DateTime : Tue May 5 04:48:27 PM UTC 2026
% Result : Theorem 0.28s 1.61s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 119)
% Comments :
%------------------------------------------------------------------------------
fof(irreflexive,axiom,
! [X1] : ~ less(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',irreflexive) ).
fof(disjoint_def,axiom,
! [X16,X17,X18,X19,X20,X21,X22,X23] :
( disjoint(X16,X17,X18,X19,X20,X21,X22,X23)
<=> ( prec(X17,X20,X19,X22)
| prec(X21,X16,X23,X18) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',disjoint_def) ).
fof(axis_subsumes_def,axiom,
! [X6,X7,X8,X9] :
( axis_subsumes(X6,X7,X8,X9)
<=> ! [X1] :
( in_closed(X1,X6,X7)
=> in_closed(X1,X8,X9) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',axis_subsumes_def) ).
fof(axis_compatible_def,axiom,
! [X6,X7,X8,X9] :
( axis_compatible(X6,X7,X8,X9)
<=> ? [X1] :
( in_closed(X1,X6,X7)
& in_closed(X1,X8,X9) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',axis_compatible_def) ).
fof(axis_conflict_def,axiom,
! [X6,X7,X8,X9] :
( axis_conflict(X6,X7,X8,X9)
<=> ~ ? [X1] :
( in_closed(X1,X6,X7)
& in_closed(X1,X8,X9) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',axis_conflict_def) ).
fof(prec_oo,axiom,
! [X14,X15] :
( prec(X14,X15,o,o)
<=> leq(X14,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',prec_oo) ).
fof(prec_oc,axiom,
! [X14,X15] :
( prec(X14,X15,o,c)
<=> leq(X14,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',prec_oc) ).
fof(prec_co,axiom,
! [X14,X15] :
( prec(X14,X15,c,o)
<=> leq(X14,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',prec_co) ).
fof(prec_cc,axiom,
! [X14,X15] :
( prec(X14,X15,c,c)
<=> less(X14,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',prec_cc) ).
fof(odrl604,conjecture,
prec(v5,v5,o,o),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl604) ).
fof(in_ropen,axiom,
! [X1,X4,X5] :
( in_ropen(X1,X4,X5)
<=> ( leq(X4,X1)
& less(X1,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',in_ropen) ).
fof(in_lopen,axiom,
! [X1,X4,X5] :
( in_lopen(X1,X4,X5)
<=> ( less(X4,X1)
& leq(X1,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',in_lopen) ).
fof(in_closed,axiom,
! [X1,X4,X5] :
( in_closed(X1,X4,X5)
<=> ( leq(X4,X1)
& leq(X1,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',in_closed) ).
fof(in_open,axiom,
! [X1,X4,X5] :
( in_open(X1,X4,X5)
<=> ( less(X4,X1)
& less(X1,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',in_open) ).
fof(leq_trans,axiom,
! [X1,X2,X3] :
( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',leq_trans) ).
fof(less_leq_trans,axiom,
! [X1,X2,X3] :
( ( less(X1,X2)
& leq(X2,X3) )
=> less(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',less_leq_trans) ).
fof(leq_less_trans,axiom,
! [X1,X2,X3] :
( ( leq(X1,X2)
& less(X2,X3) )
=> less(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',leq_less_trans) ).
fof(transitive,axiom,
! [X1,X2,X3] :
( ( less(X1,X2)
& less(X2,X3) )
=> less(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',transitive) ).
fof(box_verdict_total,axiom,
! [X11,X12] :
( ( is_verdict(X11)
& is_verdict(X12) )
=> ( box_verdict(X11,X12) = conflict
| box_verdict(X11,X12) = compatible
| box_verdict(X11,X12) = unknown ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',box_verdict_total) ).
fof(leq_antisym,axiom,
! [X1,X2] :
( ( leq(X1,X2)
& leq(X2,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',leq_antisym) ).
fof(leq_def,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> ( less(X1,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',leq_def) ).
fof(less_implies_leq,axiom,
! [X1,X2] :
( less(X1,X2)
=> leq(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',less_implies_leq) ).
fof(box_unknown,axiom,
! [X11,X12] :
( ( is_verdict(X11)
& is_verdict(X12)
& ( X11 = unknown
| X12 = unknown )
& X11 != conflict
& X12 != conflict )
=> box_verdict(X11,X12) = unknown ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',box_unknown) ).
fof(box_compatible,axiom,
! [X11,X12] :
( ( is_verdict(X11)
& is_verdict(X12)
& X11 = compatible
& X12 = compatible )
=> box_verdict(X11,X12) = compatible ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',box_compatible) ).
fof(box_conflict,axiom,
! [X11,X12] :
( ( is_verdict(X11)
& is_verdict(X12)
& ( X11 = conflict
| X12 = conflict ) )
=> box_verdict(X11,X12) = conflict ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',box_conflict) ).
fof(trichotomy,axiom,
! [X1,X2] :
( less(X1,X2)
| X1 = X2
| less(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',trichotomy) ).
fof(verdict_enum,axiom,
! [X10] :
( is_verdict(X10)
=> ( X10 = conflict
| X10 = compatible
| X10 = unknown ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',verdict_enum) ).
fof(ep_type_enum,axiom,
! [X13] :
( is_ep_type(X13)
=> ( X13 = c
| X13 = o ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',ep_type_enum) ).
fof(upper_tag_gt,axiom,
upper_tag(gt,c),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',upper_tag_gt) ).
fof(upper_tag_lt,axiom,
upper_tag(lt,o),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',upper_tag_lt) ).
fof(upper_tag_gteq,axiom,
upper_tag(gteq,c),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',upper_tag_gteq) ).
fof(upper_tag_lteq,axiom,
upper_tag(lteq,c),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',upper_tag_lteq) ).
fof(upper_tag_eq,axiom,
upper_tag(eq,c),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',upper_tag_eq) ).
fof(lower_tag_gt,axiom,
lower_tag(gt,o),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',lower_tag_gt) ).
fof(lower_tag_lt,axiom,
lower_tag(lt,c),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',lower_tag_lt) ).
fof(lower_tag_gteq,axiom,
lower_tag(gteq,c),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',lower_tag_gteq) ).
fof(lower_tag_lteq,axiom,
lower_tag(lteq,c),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',lower_tag_lteq) ).
fof(lower_tag_eq,axiom,
lower_tag(eq,c),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',lower_tag_eq) ).
fof(val_v5,axiom,
val(v5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',val_v5) ).
fof(ep_o_is_ep,axiom,
is_ep_type(o),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',ep_o_is_ep) ).
fof(ep_c_is_ep,axiom,
is_ep_type(c),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',ep_c_is_ep) ).
fof(unknown_is_verdict,axiom,
is_verdict(unknown),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',unknown_is_verdict) ).
fof(compatible_is_verdict,axiom,
is_verdict(compatible),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',compatible_is_verdict) ).
fof(conflict_is_verdict,axiom,
is_verdict(conflict),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',conflict_is_verdict) ).
fof(ep_types_distinct,axiom,
c != o,
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',ep_types_distinct) ).
fof(verdicts_distinct_cp_un,axiom,
compatible != unknown,
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',verdicts_distinct_cp_un) ).
fof(verdicts_distinct_cf_un,axiom,
conflict != unknown,
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',verdicts_distinct_cf_un) ).
fof(verdicts_distinct_cf_cp,axiom,
conflict != compatible,
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',verdicts_distinct_cf_cp) ).
fof(i_0_48,plain,
! [X1] : ~ less(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexive]) ).
fof(i_0_49,plain,
! [X179,X180,X181,X182,X183,X184,X185,X186] :
( ( ~ disjoint(X179,X180,X181,X182,X183,X184,X185,X186)
| prec(X180,X183,X182,X185)
| prec(X184,X179,X186,X181) )
& ( ~ prec(X180,X183,X182,X185)
| disjoint(X179,X180,X181,X182,X183,X184,X185,X186) )
& ( ~ prec(X184,X179,X186,X181)
| disjoint(X179,X180,X181,X182,X183,X184,X185,X186) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[disjoint_def])])]) ).
fof(i_0_50,plain,
! [X151,X152,X153,X154,X155,X156,X157,X158,X159] :
( ( ~ axis_subsumes(X151,X152,X153,X154)
| ~ in_closed(X155,X151,X152)
| in_closed(X155,X153,X154) )
& ( in_closed(esk3_4(X156,X157,X158,X159),X156,X157)
| axis_subsumes(X156,X157,X158,X159) )
& ( ~ in_closed(esk3_4(X156,X157,X158,X159),X158,X159)
| axis_subsumes(X156,X157,X158,X159) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axis_subsumes_def])])])])])]) ).
fof(i_0_51,plain,
! [X141,X142,X143,X144,X146,X147,X148,X149,X150] :
( ( in_closed(esk2_4(X141,X142,X143,X144),X141,X142)
| ~ axis_compatible(X141,X142,X143,X144) )
& ( in_closed(esk2_4(X141,X142,X143,X144),X143,X144)
| ~ axis_compatible(X141,X142,X143,X144) )
& ( ~ in_closed(X150,X146,X147)
| ~ in_closed(X150,X148,X149)
| axis_compatible(X146,X147,X148,X149) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axis_compatible_def])])])])])]) ).
fof(i_0_52,plain,
! [X131,X132,X133,X134,X135,X136,X137,X138,X139] :
( ( ~ axis_conflict(X131,X132,X133,X134)
| ~ in_closed(X135,X131,X132)
| ~ in_closed(X135,X133,X134) )
& ( in_closed(esk1_4(X136,X137,X138,X139),X136,X137)
| axis_conflict(X136,X137,X138,X139) )
& ( in_closed(esk1_4(X136,X137,X138,X139),X138,X139)
| axis_conflict(X136,X137,X138,X139) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axis_conflict_def])])])])])]) ).
fof(i_0_53,plain,
! [X177,X178] :
( ( ~ prec(X177,X178,o,o)
| leq(X177,X178) )
& ( ~ leq(X177,X178)
| prec(X177,X178,o,o) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[prec_oo])]) ).
fof(i_0_54,plain,
! [X173,X174] :
( ( ~ prec(X173,X174,o,c)
| leq(X173,X174) )
& ( ~ leq(X173,X174)
| prec(X173,X174,o,c) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[prec_oc])]) ).
fof(i_0_55,plain,
! [X175,X176] :
( ( ~ prec(X175,X176,c,o)
| leq(X175,X176) )
& ( ~ leq(X175,X176)
| prec(X175,X176,c,o) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[prec_co])]) ).
fof(i_0_56,plain,
! [X171,X172] :
( ( ~ prec(X171,X172,c,c)
| less(X171,X172) )
& ( ~ less(X171,X172)
| prec(X171,X172,c,c) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[prec_cc])]) ).
fof(i_0_57,negated_conjecture,
~ prec(v5,v5,o,o),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[odrl604])]) ).
fof(i_0_58,plain,
! [X125,X126,X127] :
( ( leq(X126,X125)
| ~ in_ropen(X125,X126,X127) )
& ( less(X125,X127)
| ~ in_ropen(X125,X126,X127) )
& ( ~ leq(X126,X125)
| ~ less(X125,X127)
| in_ropen(X125,X126,X127) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_ropen])])]) ).
fof(i_0_59,plain,
! [X122,X123,X124] :
( ( less(X123,X122)
| ~ in_lopen(X122,X123,X124) )
& ( leq(X122,X124)
| ~ in_lopen(X122,X123,X124) )
& ( ~ less(X123,X122)
| ~ leq(X122,X124)
| in_lopen(X122,X123,X124) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_lopen])])]) ).
fof(i_0_60,plain,
! [X119,X120,X121] :
( ( leq(X120,X119)
| ~ in_closed(X119,X120,X121) )
& ( leq(X119,X121)
| ~ in_closed(X119,X120,X121) )
& ( ~ leq(X120,X119)
| ~ leq(X119,X121)
| in_closed(X119,X120,X121) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_closed])])]) ).
fof(i_0_61,plain,
! [X128,X129,X130] :
( ( less(X129,X128)
| ~ in_open(X128,X129,X130) )
& ( less(X128,X130)
| ~ in_open(X128,X129,X130) )
& ( ~ less(X129,X128)
| ~ less(X128,X130)
| in_open(X128,X129,X130) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_open])])]) ).
fof(i_0_62,plain,
! [X116,X117,X118] :
( ~ leq(X116,X117)
| ~ leq(X117,X118)
| leq(X116,X118) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_trans])]) ).
fof(i_0_63,plain,
! [X113,X114,X115] :
( ~ less(X113,X114)
| ~ leq(X114,X115)
| less(X113,X115) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_leq_trans])]) ).
fof(i_0_64,plain,
! [X110,X111,X112] :
( ~ leq(X110,X111)
| ~ less(X111,X112)
| less(X110,X112) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_less_trans])]) ).
fof(i_0_65,plain,
! [X99,X100,X101] :
( ~ less(X99,X100)
| ~ less(X100,X101)
| less(X99,X101) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitive])]) ).
fof(i_0_66,plain,
! [X168,X169] :
( ~ is_verdict(X168)
| ~ is_verdict(X169)
| box_verdict(X168,X169) = conflict
| box_verdict(X168,X169) = compatible
| box_verdict(X168,X169) = unknown ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box_verdict_total])]) ).
fof(i_0_67,plain,
! [X106,X107] :
( ~ leq(X106,X107)
| ~ leq(X107,X106)
| X106 = X107 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_antisym])]) ).
fof(i_0_68,plain,
! [X104,X105] :
( ( ~ leq(X104,X105)
| less(X104,X105)
| X104 = X105 )
& ( ~ less(X104,X105)
| leq(X104,X105) )
& ( X104 != X105
| leq(X104,X105) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_def])])]) ).
fof(i_0_69,plain,
! [X108,X109] :
( ~ less(X108,X109)
| leq(X108,X109) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_implies_leq])]) ).
fof(i_0_70,plain,
! [X166,X167] :
( ( X166 != unknown
| ~ is_verdict(X166)
| ~ is_verdict(X167)
| X166 = conflict
| X167 = conflict
| box_verdict(X166,X167) = unknown )
& ( X167 != unknown
| ~ is_verdict(X166)
| ~ is_verdict(X167)
| X166 = conflict
| X167 = conflict
| box_verdict(X166,X167) = unknown ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box_unknown])])]) ).
fof(i_0_71,plain,
! [X164,X165] :
( ~ is_verdict(X164)
| ~ is_verdict(X165)
| X164 != compatible
| X165 != compatible
| box_verdict(X164,X165) = compatible ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box_compatible])]) ).
fof(i_0_72,plain,
! [X162,X163] :
( ( X162 != conflict
| ~ is_verdict(X162)
| ~ is_verdict(X163)
| box_verdict(X162,X163) = conflict )
& ( X163 != conflict
| ~ is_verdict(X162)
| ~ is_verdict(X163)
| box_verdict(X162,X163) = conflict ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box_conflict])])]) ).
fof(i_0_73,plain,
! [X102,X103] :
( less(X102,X103)
| X102 = X103
| less(X103,X102) ),
inference(variable_rename,[status(thm)],[trichotomy]) ).
fof(i_0_74,plain,
! [X98] : ~ less(X98,X98),
inference(variable_rename,[status(thm)],[i_0_48]) ).
fof(i_0_75,plain,
! [X161] :
( ~ is_verdict(X161)
| X161 = conflict
| X161 = compatible
| X161 = unknown ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[verdict_enum])]) ).
fof(i_0_76,plain,
! [X170] :
( ~ is_ep_type(X170)
| X170 = c
| X170 = o ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ep_type_enum])]) ).
cnf(i_0_77,plain,
( prec(X2,X5,X4,X7)
| prec(X6,X1,X8,X3)
| ~ disjoint(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_78,plain,
( disjoint(X2,X5,X4,X6,X7,X1,X8,X3)
| ~ prec(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_79,plain,
( disjoint(X5,X1,X6,X3,X2,X7,X4,X8)
| ~ prec(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_80,plain,
( axis_subsumes(X1,X2,X3,X4)
| ~ in_closed(esk3_4(X1,X2,X3,X4),X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_81,plain,
( in_closed(esk2_4(X1,X2,X3,X4),X1,X2)
| ~ axis_compatible(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_82,plain,
( in_closed(esk2_4(X1,X2,X3,X4),X3,X4)
| ~ axis_compatible(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_83,plain,
( in_closed(esk3_4(X1,X2,X3,X4),X1,X2)
| axis_subsumes(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_84,plain,
( in_closed(esk1_4(X1,X2,X3,X4),X1,X2)
| axis_conflict(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_85,plain,
( in_closed(esk1_4(X1,X2,X3,X4),X3,X4)
| axis_conflict(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_86,plain,
( ~ axis_conflict(X1,X2,X3,X4)
| ~ in_closed(X5,X1,X2)
| ~ in_closed(X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_87,plain,
( in_closed(X5,X3,X4)
| ~ axis_subsumes(X1,X2,X3,X4)
| ~ in_closed(X5,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_88,plain,
( axis_compatible(X2,X3,X4,X5)
| ~ in_closed(X1,X2,X3)
| ~ in_closed(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_89,plain,
( leq(X1,X2)
| ~ prec(X1,X2,o,o) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_90,plain,
( leq(X1,X2)
| ~ prec(X1,X2,o,c) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_91,plain,
( leq(X1,X2)
| ~ prec(X1,X2,c,o) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_92,plain,
( less(X1,X2)
| ~ prec(X1,X2,c,c) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_93,negated_conjecture,
~ prec(v5,v5,o,o),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_94,plain,
( prec(X1,X2,o,o)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_95,plain,
( prec(X1,X2,o,c)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_96,plain,
( prec(X1,X2,c,o)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_97,plain,
( prec(X1,X2,c,c)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_98,plain,
( leq(X1,X2)
| ~ in_ropen(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_99,plain,
( leq(X1,X2)
| ~ in_lopen(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_100,plain,
( leq(X1,X2)
| ~ in_closed(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_101,plain,
( leq(X1,X2)
| ~ in_closed(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_102,plain,
( less(X1,X2)
| ~ in_open(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_103,plain,
( less(X1,X2)
| ~ in_open(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_104,plain,
( less(X1,X2)
| ~ in_ropen(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_105,plain,
( less(X1,X2)
| ~ in_lopen(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_106,plain,
( in_open(X2,X1,X3)
| ~ less(X1,X2)
| ~ less(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_107,plain,
( in_ropen(X2,X1,X3)
| ~ leq(X1,X2)
| ~ less(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_108,plain,
( in_lopen(X2,X1,X3)
| ~ less(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_109,plain,
( in_closed(X2,X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_110,plain,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_111,plain,
( less(X1,X3)
| ~ less(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_112,plain,
( less(X1,X3)
| ~ leq(X1,X2)
| ~ less(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_113,plain,
( less(X1,X3)
| ~ less(X1,X2)
| ~ less(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_114,plain,
( box_verdict(X1,X2) = conflict
| box_verdict(X1,X2) = compatible
| box_verdict(X1,X2) = unknown
| ~ is_verdict(X1)
| ~ is_verdict(X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_115,plain,
( X1 = X2
| ~ leq(X1,X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_116,plain,
( less(X1,X2)
| X1 = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_117,plain,
( leq(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_118,plain,
( leq(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_119,plain,
( X1 = conflict
| X2 = conflict
| box_verdict(X1,X2) = unknown
| X1 != unknown
| ~ is_verdict(X1)
| ~ is_verdict(X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_120,plain,
( X2 = conflict
| X1 = conflict
| box_verdict(X2,X1) = unknown
| X1 != unknown
| ~ is_verdict(X2)
| ~ is_verdict(X1) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_121,plain,
( box_verdict(X1,X2) = compatible
| ~ is_verdict(X1)
| ~ is_verdict(X2)
| X1 != compatible
| X2 != compatible ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_122,plain,
( box_verdict(X1,X2) = conflict
| X1 != conflict
| ~ is_verdict(X1)
| ~ is_verdict(X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_123,plain,
( box_verdict(X2,X1) = conflict
| X1 != conflict
| ~ is_verdict(X2)
| ~ is_verdict(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_124,plain,
( less(X1,X2)
| X1 = X2
| less(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_125,plain,
~ less(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_126,plain,
( leq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_127,plain,
( X1 = conflict
| X1 = compatible
| X1 = unknown
| ~ is_verdict(X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_128,plain,
upper_tag(gt,c),
inference(split_conjunct,[status(thm)],[upper_tag_gt]),
[final] ).
cnf(i_0_129,plain,
upper_tag(lt,o),
inference(split_conjunct,[status(thm)],[upper_tag_lt]),
[final] ).
cnf(i_0_130,plain,
upper_tag(gteq,c),
inference(split_conjunct,[status(thm)],[upper_tag_gteq]),
[final] ).
cnf(i_0_131,plain,
upper_tag(lteq,c),
inference(split_conjunct,[status(thm)],[upper_tag_lteq]),
[final] ).
cnf(i_0_132,plain,
upper_tag(eq,c),
inference(split_conjunct,[status(thm)],[upper_tag_eq]),
[final] ).
cnf(i_0_133,plain,
lower_tag(gt,o),
inference(split_conjunct,[status(thm)],[lower_tag_gt]),
[final] ).
cnf(i_0_134,plain,
lower_tag(lt,c),
inference(split_conjunct,[status(thm)],[lower_tag_lt]),
[final] ).
cnf(i_0_135,plain,
lower_tag(gteq,c),
inference(split_conjunct,[status(thm)],[lower_tag_gteq]),
[final] ).
cnf(i_0_136,plain,
lower_tag(lteq,c),
inference(split_conjunct,[status(thm)],[lower_tag_lteq]),
[final] ).
cnf(i_0_137,plain,
lower_tag(eq,c),
inference(split_conjunct,[status(thm)],[lower_tag_eq]),
[final] ).
cnf(i_0_138,plain,
( X1 = c
| X1 = o
| ~ is_ep_type(X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_139,plain,
val(v5),
inference(split_conjunct,[status(thm)],[val_v5]),
[final] ).
cnf(i_0_140,plain,
is_ep_type(o),
inference(split_conjunct,[status(thm)],[ep_o_is_ep]),
[final] ).
cnf(i_0_141,plain,
is_ep_type(c),
inference(split_conjunct,[status(thm)],[ep_c_is_ep]),
[final] ).
cnf(i_0_142,plain,
is_verdict(unknown),
inference(split_conjunct,[status(thm)],[unknown_is_verdict]),
[final] ).
cnf(i_0_143,plain,
is_verdict(compatible),
inference(split_conjunct,[status(thm)],[compatible_is_verdict]),
[final] ).
cnf(i_0_144,plain,
is_verdict(conflict),
inference(split_conjunct,[status(thm)],[conflict_is_verdict]),
[final] ).
cnf(i_0_145,plain,
c != o,
inference(split_conjunct,[status(thm)],[ep_types_distinct]),
[final] ).
cnf(i_0_146,plain,
compatible != unknown,
inference(split_conjunct,[status(thm)],[verdicts_distinct_cp_un]),
[final] ).
cnf(i_0_147,plain,
conflict != unknown,
inference(split_conjunct,[status(thm)],[verdicts_distinct_cf_un]),
[final] ).
cnf(i_0_148,plain,
conflict != compatible,
inference(split_conjunct,[status(thm)],[verdicts_distinct_cf_cp]),
[final] ).
cnf(i_0_149,axiom,
X1 = X1 ).
cnf(i_0_150,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_151,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_152,axiom,
( X1 != X2
| box_verdict(X1,X3) = box_verdict(X2,X3) ) ).
cnf(i_0_153,axiom,
( X1 != X2
| box_verdict(X3,X1) = box_verdict(X3,X2) ) ).
cnf(i_0_154,axiom,
( X1 != X2
| ~ prec(X1,X3,X4,X5)
| prec(X2,X3,X4,X5) ) ).
cnf(i_0_155,axiom,
( X1 != X2
| ~ prec(X3,X1,X4,X5)
| prec(X3,X2,X4,X5) ) ).
cnf(i_0_156,axiom,
( X1 != X2
| ~ prec(X3,X4,X1,X5)
| prec(X3,X4,X2,X5) ) ).
cnf(i_0_157,axiom,
( X1 != X2
| ~ prec(X3,X4,X5,X1)
| prec(X3,X4,X5,X2) ) ).
cnf(i_0_158,axiom,
( X1 != X2
| ~ in_lopen(X1,X3,X4)
| in_lopen(X2,X3,X4) ) ).
cnf(i_0_159,axiom,
( X1 != X2
| ~ in_lopen(X3,X1,X4)
| in_lopen(X3,X2,X4) ) ).
cnf(i_0_160,axiom,
( X1 != X2
| ~ in_lopen(X3,X4,X1)
| in_lopen(X3,X4,X2) ) ).
cnf(i_0_161,axiom,
( X1 != X2
| ~ in_open(X1,X3,X4)
| in_open(X2,X3,X4) ) ).
cnf(i_0_162,axiom,
( X1 != X2
| ~ in_open(X3,X1,X4)
| in_open(X3,X2,X4) ) ).
cnf(i_0_163,axiom,
( X1 != X2
| ~ in_open(X3,X4,X1)
| in_open(X3,X4,X2) ) ).
cnf(i_0_164,axiom,
( X1 != X2
| ~ is_verdict(X1)
| is_verdict(X2) ) ).
cnf(i_0_165,axiom,
( X1 != X2
| ~ upper_tag(X1,X3)
| upper_tag(X2,X3) ) ).
cnf(i_0_166,axiom,
( X1 != X2
| ~ upper_tag(X3,X1)
| upper_tag(X3,X2) ) ).
cnf(i_0_167,axiom,
( X1 != X2
| ~ lower_tag(X1,X3)
| lower_tag(X2,X3) ) ).
cnf(i_0_168,axiom,
( X1 != X2
| ~ lower_tag(X3,X1)
| lower_tag(X3,X2) ) ).
cnf(i_0_169,axiom,
( X1 != X2
| ~ is_ep_type(X1)
| is_ep_type(X2) ) ).
cnf(i_0_170,axiom,
( X1 != X2
| ~ val(X1)
| val(X2) ) ).
cnf(i_0_171,axiom,
( X1 != X2
| ~ disjoint(X1,X3,X4,X5,X6,X7,X8,X9)
| disjoint(X2,X3,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_172,axiom,
( X1 != X2
| ~ disjoint(X3,X1,X4,X5,X6,X7,X8,X9)
| disjoint(X3,X2,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_173,axiom,
( X1 != X2
| ~ disjoint(X3,X4,X1,X5,X6,X7,X8,X9)
| disjoint(X3,X4,X2,X5,X6,X7,X8,X9) ) ).
cnf(i_0_174,axiom,
( X1 != X2
| ~ disjoint(X3,X4,X5,X1,X6,X7,X8,X9)
| disjoint(X3,X4,X5,X2,X6,X7,X8,X9) ) ).
cnf(i_0_175,axiom,
( X1 != X2
| ~ disjoint(X3,X4,X5,X6,X1,X7,X8,X9)
| disjoint(X3,X4,X5,X6,X2,X7,X8,X9) ) ).
cnf(i_0_176,axiom,
( X1 != X2
| ~ disjoint(X3,X4,X5,X6,X7,X1,X8,X9)
| disjoint(X3,X4,X5,X6,X7,X2,X8,X9) ) ).
cnf(i_0_177,axiom,
( X1 != X2
| ~ disjoint(X3,X4,X5,X6,X7,X8,X1,X9)
| disjoint(X3,X4,X5,X6,X7,X8,X2,X9) ) ).
cnf(i_0_178,axiom,
( X1 != X2
| ~ disjoint(X3,X4,X5,X6,X7,X8,X9,X1)
| disjoint(X3,X4,X5,X6,X7,X8,X9,X2) ) ).
cnf(i_0_179,axiom,
( X1 != X2
| ~ axis_subsumes(X1,X3,X4,X5)
| axis_subsumes(X2,X3,X4,X5) ) ).
cnf(i_0_180,axiom,
( X1 != X2
| ~ axis_subsumes(X3,X1,X4,X5)
| axis_subsumes(X3,X2,X4,X5) ) ).
cnf(i_0_181,axiom,
( X1 != X2
| ~ axis_subsumes(X3,X4,X1,X5)
| axis_subsumes(X3,X4,X2,X5) ) ).
cnf(i_0_182,axiom,
( X1 != X2
| ~ axis_subsumes(X3,X4,X5,X1)
| axis_subsumes(X3,X4,X5,X2) ) ).
cnf(i_0_183,axiom,
( X1 != X2
| ~ in_closed(X1,X3,X4)
| in_closed(X2,X3,X4) ) ).
cnf(i_0_184,axiom,
( X1 != X2
| ~ in_closed(X3,X1,X4)
| in_closed(X3,X2,X4) ) ).
cnf(i_0_185,axiom,
( X1 != X2
| ~ in_closed(X3,X4,X1)
| in_closed(X3,X4,X2) ) ).
cnf(i_0_186,axiom,
( X1 != X2
| ~ axis_compatible(X1,X3,X4,X5)
| axis_compatible(X2,X3,X4,X5) ) ).
cnf(i_0_187,axiom,
( X1 != X2
| ~ axis_compatible(X3,X1,X4,X5)
| axis_compatible(X3,X2,X4,X5) ) ).
cnf(i_0_188,axiom,
( X1 != X2
| ~ axis_compatible(X3,X4,X1,X5)
| axis_compatible(X3,X4,X2,X5) ) ).
cnf(i_0_189,axiom,
( X1 != X2
| ~ axis_compatible(X3,X4,X5,X1)
| axis_compatible(X3,X4,X5,X2) ) ).
cnf(i_0_190,axiom,
( X1 != X2
| ~ axis_conflict(X1,X3,X4,X5)
| axis_conflict(X2,X3,X4,X5) ) ).
cnf(i_0_191,axiom,
( X1 != X2
| ~ axis_conflict(X3,X1,X4,X5)
| axis_conflict(X3,X2,X4,X5) ) ).
cnf(i_0_192,axiom,
( X1 != X2
| ~ axis_conflict(X3,X4,X1,X5)
| axis_conflict(X3,X4,X2,X5) ) ).
cnf(i_0_193,axiom,
( X1 != X2
| ~ axis_conflict(X3,X4,X5,X1)
| axis_conflict(X3,X4,X5,X2) ) ).
cnf(i_0_194,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_195,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_196,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_197,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_198,axiom,
( X1 != X2
| ~ in_ropen(X1,X3,X4)
| in_ropen(X2,X3,X4) ) ).
cnf(i_0_199,axiom,
( X1 != X2
| ~ in_ropen(X3,X1,X4)
| in_ropen(X3,X2,X4) ) ).
cnf(i_0_200,axiom,
( X1 != X2
| ~ in_ropen(X3,X4,X1)
| in_ropen(X3,X4,X2) ) ).
cnf(i_0_149_001,axiom,
X1 = X1 ).
cnf(i_0_150_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_151_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_152_004,axiom,
( X1 != X2
| box_verdict(X1,X3) = box_verdict(X2,X3) ) ).
cnf(i_0_153_005,axiom,
( X1 != X2
| box_verdict(X3,X1) = box_verdict(X3,X2) ) ).
cnf(i_0_154_006,axiom,
( X1 != X2
| ~ prec(X1,X3,X4,X5)
| prec(X2,X3,X4,X5) ) ).
cnf(i_0_155_007,axiom,
( X1 != X2
| ~ prec(X3,X1,X4,X5)
| prec(X3,X2,X4,X5) ) ).
cnf(i_0_156_008,axiom,
( X1 != X2
| ~ prec(X3,X4,X1,X5)
| prec(X3,X4,X2,X5) ) ).
cnf(i_0_157_009,axiom,
( X1 != X2
| ~ prec(X3,X4,X5,X1)
| prec(X3,X4,X5,X2) ) ).
cnf(i_0_158_010,axiom,
( X1 != X2
| ~ in_lopen(X1,X3,X4)
| in_lopen(X2,X3,X4) ) ).
cnf(i_0_159_011,axiom,
( X1 != X2
| ~ in_lopen(X3,X1,X4)
| in_lopen(X3,X2,X4) ) ).
cnf(i_0_160_012,axiom,
( X1 != X2
| ~ in_lopen(X3,X4,X1)
| in_lopen(X3,X4,X2) ) ).
cnf(i_0_161_013,axiom,
( X1 != X2
| ~ in_open(X1,X3,X4)
| in_open(X2,X3,X4) ) ).
cnf(i_0_162_014,axiom,
( X1 != X2
| ~ in_open(X3,X1,X4)
| in_open(X3,X2,X4) ) ).
cnf(i_0_163_015,axiom,
( X1 != X2
| ~ in_open(X3,X4,X1)
| in_open(X3,X4,X2) ) ).
cnf(i_0_164_016,axiom,
( X1 != X2
| ~ is_verdict(X1)
| is_verdict(X2) ) ).
cnf(i_0_165_017,axiom,
( X1 != X2
| ~ upper_tag(X1,X3)
| upper_tag(X2,X3) ) ).
cnf(i_0_166_018,axiom,
( X1 != X2
| ~ upper_tag(X3,X1)
| upper_tag(X3,X2) ) ).
cnf(i_0_167_019,axiom,
( X1 != X2
| ~ lower_tag(X1,X3)
| lower_tag(X2,X3) ) ).
cnf(i_0_168_020,axiom,
( X1 != X2
| ~ lower_tag(X3,X1)
| lower_tag(X3,X2) ) ).
cnf(i_0_169_021,axiom,
( X1 != X2
| ~ is_ep_type(X1)
| is_ep_type(X2) ) ).
cnf(i_0_170_022,axiom,
( X1 != X2
| ~ val(X1)
| val(X2) ) ).
cnf(i_0_171_023,axiom,
( X1 != X2
| ~ disjoint(X1,X3,X4,X5,X6,X7,X8,X9)
| disjoint(X2,X3,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_172_024,axiom,
( X1 != X2
| ~ disjoint(X3,X1,X4,X5,X6,X7,X8,X9)
| disjoint(X3,X2,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_173_025,axiom,
( X1 != X2
| ~ disjoint(X3,X4,X1,X5,X6,X7,X8,X9)
| disjoint(X3,X4,X2,X5,X6,X7,X8,X9) ) ).
cnf(i_0_174_026,axiom,
( X1 != X2
| ~ disjoint(X3,X4,X5,X1,X6,X7,X8,X9)
| disjoint(X3,X4,X5,X2,X6,X7,X8,X9) ) ).
cnf(i_0_175_027,axiom,
( X1 != X2
| ~ disjoint(X3,X4,X5,X6,X1,X7,X8,X9)
| disjoint(X3,X4,X5,X6,X2,X7,X8,X9) ) ).
cnf(i_0_176_028,axiom,
( X1 != X2
| ~ disjoint(X3,X4,X5,X6,X7,X1,X8,X9)
| disjoint(X3,X4,X5,X6,X7,X2,X8,X9) ) ).
cnf(i_0_177_029,axiom,
( X1 != X2
| ~ disjoint(X3,X4,X5,X6,X7,X8,X1,X9)
| disjoint(X3,X4,X5,X6,X7,X8,X2,X9) ) ).
cnf(i_0_178_030,axiom,
( X1 != X2
| ~ disjoint(X3,X4,X5,X6,X7,X8,X9,X1)
| disjoint(X3,X4,X5,X6,X7,X8,X9,X2) ) ).
cnf(i_0_179_031,axiom,
( X1 != X2
| ~ axis_subsumes(X1,X3,X4,X5)
| axis_subsumes(X2,X3,X4,X5) ) ).
cnf(i_0_180_032,axiom,
( X1 != X2
| ~ axis_subsumes(X3,X1,X4,X5)
| axis_subsumes(X3,X2,X4,X5) ) ).
cnf(i_0_181_033,axiom,
( X1 != X2
| ~ axis_subsumes(X3,X4,X1,X5)
| axis_subsumes(X3,X4,X2,X5) ) ).
cnf(i_0_182_034,axiom,
( X1 != X2
| ~ axis_subsumes(X3,X4,X5,X1)
| axis_subsumes(X3,X4,X5,X2) ) ).
cnf(i_0_183_035,axiom,
( X1 != X2
| ~ in_closed(X1,X3,X4)
| in_closed(X2,X3,X4) ) ).
cnf(i_0_184_036,axiom,
( X1 != X2
| ~ in_closed(X3,X1,X4)
| in_closed(X3,X2,X4) ) ).
cnf(i_0_185_037,axiom,
( X1 != X2
| ~ in_closed(X3,X4,X1)
| in_closed(X3,X4,X2) ) ).
cnf(i_0_186_038,axiom,
( X1 != X2
| ~ axis_compatible(X1,X3,X4,X5)
| axis_compatible(X2,X3,X4,X5) ) ).
cnf(i_0_187_039,axiom,
( X1 != X2
| ~ axis_compatible(X3,X1,X4,X5)
| axis_compatible(X3,X2,X4,X5) ) ).
cnf(i_0_188_040,axiom,
( X1 != X2
| ~ axis_compatible(X3,X4,X1,X5)
| axis_compatible(X3,X4,X2,X5) ) ).
cnf(i_0_189_041,axiom,
( X1 != X2
| ~ axis_compatible(X3,X4,X5,X1)
| axis_compatible(X3,X4,X5,X2) ) ).
cnf(i_0_190_042,axiom,
( X1 != X2
| ~ axis_conflict(X1,X3,X4,X5)
| axis_conflict(X2,X3,X4,X5) ) ).
cnf(i_0_191_043,axiom,
( X1 != X2
| ~ axis_conflict(X3,X1,X4,X5)
| axis_conflict(X3,X2,X4,X5) ) ).
cnf(i_0_192_044,axiom,
( X1 != X2
| ~ axis_conflict(X3,X4,X1,X5)
| axis_conflict(X3,X4,X2,X5) ) ).
cnf(i_0_193_045,axiom,
( X1 != X2
| ~ axis_conflict(X3,X4,X5,X1)
| axis_conflict(X3,X4,X5,X2) ) ).
cnf(i_0_194_046,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_195_047,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_196_048,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_197_049,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_198_050,axiom,
( X1 != X2
| ~ in_ropen(X1,X3,X4)
| in_ropen(X2,X3,X4) ) ).
cnf(i_0_199_051,axiom,
( X1 != X2
| ~ in_ropen(X3,X1,X4)
| in_ropen(X3,X2,X4) ) ).
cnf(i_0_200_052,axiom,
( X1 != X2
| ~ in_ropen(X3,X4,X1)
| in_ropen(X3,X4,X2) ) ).
cnf(i_0_201,plain,
( ~ is_verdict(unknown)
| ~ is_verdict(X1)
| unknown = conflict
| X1 = conflict
| box_verdict(unknown,X1) = unknown ),
inference(equality_inference,[],[119]) ).
cnf(i_0_202,plain,
( ~ is_verdict(X1)
| ~ is_verdict(unknown)
| X1 = conflict
| unknown = conflict
| box_verdict(X1,unknown) = unknown ),
inference(equality_inference,[],[120]) ).
cnf(i_0_203,plain,
( ~ is_verdict(conflict)
| ~ is_verdict(X1)
| box_verdict(conflict,X1) = conflict ),
inference(equality_inference,[],[122]) ).
cnf(i_0_204,plain,
( ~ is_verdict(X1)
| ~ is_verdict(conflict)
| box_verdict(X1,conflict) = conflict ),
inference(equality_inference,[],[123]) ).
cnf(i_0_205,plain,
leq(X1,X1),
inference(equality_inference,[],[126]) ).
cnf(i_0_206,plain,
$false,
inference(scs_inference,[],[i_0_93,i_0_205,i_0_94]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : MGT089+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32 % Computer : n006.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Mon May 4 23:32:46 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.33 % start to proof: theBenchmark
% 0.28/1.61 % Version : CSE_E---1.7
% 0.28/1.61 % Problem : theBenchmark.p
% 0.28/1.61 % SZS status Theorem for theBenchmark.p
% 0.28/1.61 % SZS output start CNFRefutation
% See solution above
% 0.28/1.63 % Total time : 1.270s
%------------------------------------------------------------------------------