%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT071+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 : n017.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 04:48:25 PM UTC 2026
% Result : Theorem 0.29s 1.62s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 126)
% Comments :
%------------------------------------------------------------------------------
fof(no_false_conflict,conjecture,
~ ? [X1] :
( in_closed(X1,n0,n5)
& in_closed(X1,n10,n15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_false_conflict) ).
fof(irreflexive,axiom,
! [X1] : ~ less(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',irreflexive) ).
fof(in_box3,axiom,
! [X13,X14,X19,X15,X16,X17,X18,X20,X21] :
( in_box3(X13,X14,X19,X15,X16,X17,X18,X20,X21)
<=> ( in_closed(X13,X15,X16)
& in_closed(X14,X17,X18)
& in_closed(X19,X20,X21) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',in_box3) ).
fof(box2_conflict,axiom,
! [X15,X16,X17,X18,X22,X23,X24,X25] :
( box2_conflict(X15,X16,X17,X18,X22,X23,X24,X25)
<=> ( axis_conflict(X15,X16,X22,X23)
| axis_conflict(X17,X18,X24,X25) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',box2_conflict) ).
fof(box2_overlap,axiom,
! [X15,X16,X17,X18,X22,X23,X24,X25] :
( box2_compatible(X15,X16,X17,X18,X22,X23,X24,X25)
<=> ( axis_compatible(X15,X16,X22,X23)
& axis_compatible(X17,X18,X24,X25) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',box2_overlap) ).
fof(in_box2,axiom,
! [X13,X14,X15,X16,X17,X18] :
( in_box2(X13,X14,X15,X16,X17,X18)
<=> ( in_closed(X13,X15,X16)
& in_closed(X14,X17,X18) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',in_box2) ).
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(shape_ropen,axiom,
! [X1,X4,X5] :
( in_ropen(X1,X4,X5)
<=> ( leq(X4,X1)
& less(X1,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',shape_ropen) ).
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(shape_lopen,axiom,
! [X1,X4,X5] :
( in_lopen(X1,X4,X5)
<=> ( less(X4,X1)
& leq(X1,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',shape_lopen) ).
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(shape_closed,axiom,
! [X1,X4,X5] :
( in_closed(X1,X4,X5)
<=> ( leq(X4,X1)
& leq(X1,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',shape_closed) ).
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(shape_open,axiom,
! [X1,X4,X5] :
( in_open(X1,X4,X5)
<=> ( less(X4,X1)
& less(X1,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',shape_open) ).
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(shape_point,axiom,
! [X1,X10] :
( in_closed(X1,X10,X10)
<=> X1 = X10 ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',shape_point) ).
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(conflict_hyp,hypothesis,
axis_conflict(n0,n5,n10,n15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conflict_hyp) ).
fof(order_10_15,hypothesis,
less(n10,n15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order_10_15) ).
fof(order_5_10,hypothesis,
less(n5,n10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order_5_10) ).
fof(order_0_5,hypothesis,
less(n0,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order_0_5) ).
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(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_41,negated_conjecture,
~ ~ ? [X1] :
( in_closed(X1,n0,n5)
& in_closed(X1,n10,n15) ),
inference(assume_negation,[status(cth)],[no_false_conflict]) ).
fof(i_0_42,plain,
! [X1] : ~ less(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexive]) ).
fof(i_0_43,plain,
! [X207,X208,X209,X210,X211,X212,X213,X214,X215] :
( ( in_closed(X207,X210,X211)
| ~ in_box3(X207,X208,X209,X210,X211,X212,X213,X214,X215) )
& ( in_closed(X208,X212,X213)
| ~ in_box3(X207,X208,X209,X210,X211,X212,X213,X214,X215) )
& ( in_closed(X209,X214,X215)
| ~ in_box3(X207,X208,X209,X210,X211,X212,X213,X214,X215) )
& ( ~ in_closed(X207,X210,X211)
| ~ in_closed(X208,X212,X213)
| ~ in_closed(X209,X214,X215)
| in_box3(X207,X208,X209,X210,X211,X212,X213,X214,X215) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_box3])])]) ).
fof(i_0_44,plain,
! [X224,X225,X226,X227,X228,X229,X230,X231] :
( ( ~ box2_conflict(X224,X225,X226,X227,X228,X229,X230,X231)
| axis_conflict(X224,X225,X228,X229)
| axis_conflict(X226,X227,X230,X231) )
& ( ~ axis_conflict(X224,X225,X228,X229)
| box2_conflict(X224,X225,X226,X227,X228,X229,X230,X231) )
& ( ~ axis_conflict(X226,X227,X230,X231)
| box2_conflict(X224,X225,X226,X227,X228,X229,X230,X231) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box2_conflict])])]) ).
fof(i_0_45,plain,
! [X216,X217,X218,X219,X220,X221,X222,X223] :
( ( axis_compatible(X216,X217,X220,X221)
| ~ box2_compatible(X216,X217,X218,X219,X220,X221,X222,X223) )
& ( axis_compatible(X218,X219,X222,X223)
| ~ box2_compatible(X216,X217,X218,X219,X220,X221,X222,X223) )
& ( ~ axis_compatible(X216,X217,X220,X221)
| ~ axis_compatible(X218,X219,X222,X223)
| box2_compatible(X216,X217,X218,X219,X220,X221,X222,X223) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box2_overlap])])]) ).
fof(i_0_46,plain,
! [X201,X202,X203,X204,X205,X206] :
( ( in_closed(X201,X203,X204)
| ~ in_box2(X201,X202,X203,X204,X205,X206) )
& ( in_closed(X202,X205,X206)
| ~ in_box2(X201,X202,X203,X204,X205,X206) )
& ( ~ in_closed(X201,X203,X204)
| ~ in_closed(X202,X205,X206)
| in_box2(X201,X202,X203,X204,X205,X206) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_box2])])]) ).
fof(i_0_47,plain,
! [X182,X183,X184,X185,X186,X187,X188,X189,X190] :
( ( ~ axis_subsumes(X182,X183,X184,X185)
| ~ in_closed(X186,X182,X183)
| in_closed(X186,X184,X185) )
& ( in_closed(esk3_4(X187,X188,X189,X190),X187,X188)
| axis_subsumes(X187,X188,X189,X190) )
& ( ~ in_closed(esk3_4(X187,X188,X189,X190),X189,X190)
| axis_subsumes(X187,X188,X189,X190) ) ),
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_48,plain,
! [X172,X173,X174,X175,X177,X178,X179,X180,X181] :
( ( in_closed(esk2_4(X172,X173,X174,X175),X172,X173)
| ~ axis_compatible(X172,X173,X174,X175) )
& ( in_closed(esk2_4(X172,X173,X174,X175),X174,X175)
| ~ axis_compatible(X172,X173,X174,X175) )
& ( ~ in_closed(X181,X177,X178)
| ~ in_closed(X181,X179,X180)
| axis_compatible(X177,X178,X179,X180) ) ),
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_49,plain,
! [X162,X163,X164,X165,X166,X167,X168,X169,X170] :
( ( ~ axis_conflict(X162,X163,X164,X165)
| ~ in_closed(X166,X162,X163)
| ~ in_closed(X166,X164,X165) )
& ( in_closed(esk1_4(X167,X168,X169,X170),X167,X168)
| axis_conflict(X167,X168,X169,X170) )
& ( in_closed(esk1_4(X167,X168,X169,X170),X169,X170)
| axis_conflict(X167,X168,X169,X170) ) ),
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_50,plain,
! [X237,X238,X239] :
( ( leq(X238,X237)
| ~ in_ropen(X237,X238,X239) )
& ( less(X237,X239)
| ~ in_ropen(X237,X238,X239) )
& ( ~ leq(X238,X237)
| ~ less(X237,X239)
| in_ropen(X237,X238,X239) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[shape_ropen])])]) ).
fof(i_0_51,plain,
! [X156,X157,X158] :
( ( leq(X157,X156)
| ~ in_ropen(X156,X157,X158) )
& ( less(X156,X158)
| ~ in_ropen(X156,X157,X158) )
& ( ~ leq(X157,X156)
| ~ less(X156,X158)
| in_ropen(X156,X157,X158) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_ropen])])]) ).
fof(i_0_52,plain,
! [X240,X241,X242] :
( ( less(X241,X240)
| ~ in_lopen(X240,X241,X242) )
& ( leq(X240,X242)
| ~ in_lopen(X240,X241,X242) )
& ( ~ less(X241,X240)
| ~ leq(X240,X242)
| in_lopen(X240,X241,X242) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[shape_lopen])])]) ).
fof(i_0_53,plain,
! [X153,X154,X155] :
( ( less(X154,X153)
| ~ in_lopen(X153,X154,X155) )
& ( leq(X153,X155)
| ~ in_lopen(X153,X154,X155) )
& ( ~ less(X154,X153)
| ~ leq(X153,X155)
| in_lopen(X153,X154,X155) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_lopen])])]) ).
fof(i_0_54,plain,
! [X234,X235,X236] :
( ( leq(X235,X234)
| ~ in_closed(X234,X235,X236) )
& ( leq(X234,X236)
| ~ in_closed(X234,X235,X236) )
& ( ~ leq(X235,X234)
| ~ leq(X234,X236)
| in_closed(X234,X235,X236) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[shape_closed])])]) ).
fof(i_0_55,plain,
! [X150,X151,X152] :
( ( leq(X151,X150)
| ~ in_closed(X150,X151,X152) )
& ( leq(X150,X152)
| ~ in_closed(X150,X151,X152) )
& ( ~ leq(X151,X150)
| ~ leq(X150,X152)
| in_closed(X150,X151,X152) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_closed])])]) ).
fof(i_0_56,plain,
! [X243,X244,X245] :
( ( less(X244,X243)
| ~ in_open(X243,X244,X245) )
& ( less(X243,X245)
| ~ in_open(X243,X244,X245) )
& ( ~ less(X244,X243)
| ~ less(X243,X245)
| in_open(X243,X244,X245) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[shape_open])])]) ).
fof(i_0_57,plain,
! [X159,X160,X161] :
( ( less(X160,X159)
| ~ in_open(X159,X160,X161) )
& ( less(X159,X161)
| ~ in_open(X159,X160,X161) )
& ( ~ less(X160,X159)
| ~ less(X159,X161)
| in_open(X159,X160,X161) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_open])])]) ).
fof(i_0_58,plain,
! [X232,X233] :
( ( ~ in_closed(X232,X233,X233)
| X232 = X233 )
& ( X232 != X233
| in_closed(X232,X233,X233) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[shape_point])]) ).
fof(i_0_59,plain,
! [X147,X148,X149] :
( ~ leq(X147,X148)
| ~ leq(X148,X149)
| leq(X147,X149) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_trans])]) ).
fof(i_0_60,plain,
! [X144,X145,X146] :
( ~ less(X144,X145)
| ~ leq(X145,X146)
| less(X144,X146) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_leq_trans])]) ).
fof(i_0_61,plain,
! [X141,X142,X143] :
( ~ leq(X141,X142)
| ~ less(X142,X143)
| less(X141,X143) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_less_trans])]) ).
fof(i_0_62,plain,
! [X130,X131,X132] :
( ~ less(X130,X131)
| ~ less(X131,X132)
| less(X130,X132) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitive])]) ).
fof(i_0_63,plain,
! [X199,X200] :
( ~ is_verdict(X199)
| ~ is_verdict(X200)
| box_verdict(X199,X200) = conflict
| box_verdict(X199,X200) = compatible
| box_verdict(X199,X200) = unknown ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box_verdict_total])]) ).
fof(i_0_64,negated_conjecture,
( in_closed(esk4_0,n0,n5)
& in_closed(esk4_0,n10,n15) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_41])])]) ).
fof(i_0_65,plain,
! [X137,X138] :
( ~ leq(X137,X138)
| ~ leq(X138,X137)
| X137 = X138 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_antisym])]) ).
fof(i_0_66,plain,
! [X135,X136] :
( ( ~ leq(X135,X136)
| less(X135,X136)
| X135 = X136 )
& ( ~ less(X135,X136)
| leq(X135,X136) )
& ( X135 != X136
| leq(X135,X136) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_def])])]) ).
fof(i_0_67,plain,
! [X139,X140] :
( ~ less(X139,X140)
| leq(X139,X140) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_implies_leq])]) ).
fof(i_0_68,plain,
! [X197,X198] :
( ( X197 != unknown
| ~ is_verdict(X197)
| ~ is_verdict(X198)
| X197 = conflict
| X198 = conflict
| box_verdict(X197,X198) = unknown )
& ( X198 != unknown
| ~ is_verdict(X197)
| ~ is_verdict(X198)
| X197 = conflict
| X198 = conflict
| box_verdict(X197,X198) = unknown ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box_unknown])])]) ).
fof(i_0_69,plain,
! [X195,X196] :
( ~ is_verdict(X195)
| ~ is_verdict(X196)
| X195 != compatible
| X196 != compatible
| box_verdict(X195,X196) = compatible ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box_compatible])]) ).
fof(i_0_70,plain,
! [X193,X194] :
( ( X193 != conflict
| ~ is_verdict(X193)
| ~ is_verdict(X194)
| box_verdict(X193,X194) = conflict )
& ( X194 != conflict
| ~ is_verdict(X193)
| ~ is_verdict(X194)
| box_verdict(X193,X194) = conflict ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box_conflict])])]) ).
fof(i_0_71,plain,
! [X133,X134] :
( less(X133,X134)
| X133 = X134
| less(X134,X133) ),
inference(variable_rename,[status(thm)],[trichotomy]) ).
fof(i_0_72,plain,
! [X129] : ~ less(X129,X129),
inference(variable_rename,[status(thm)],[i_0_42]) ).
fof(i_0_73,plain,
! [X192] :
( ~ is_verdict(X192)
| X192 = conflict
| X192 = compatible
| X192 = unknown ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[verdict_enum])]) ).
cnf(i_0_74,plain,
( in_closed(X1,X2,X3)
| ~ in_box3(X1,X4,X5,X2,X3,X6,X7,X8,X9) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_75,plain,
( in_closed(X1,X2,X3)
| ~ in_box3(X4,X1,X5,X6,X7,X2,X3,X8,X9) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_76,plain,
( in_closed(X1,X2,X3)
| ~ in_box3(X4,X5,X1,X6,X7,X8,X9,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_77,plain,
( in_box3(X1,X4,X7,X2,X3,X5,X6,X8,X9)
| ~ in_closed(X1,X2,X3)
| ~ in_closed(X4,X5,X6)
| ~ in_closed(X7,X8,X9) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_78,plain,
( axis_conflict(X1,X2,X5,X6)
| axis_conflict(X3,X4,X7,X8)
| ~ box2_conflict(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_79,plain,
( axis_compatible(X1,X2,X3,X4)
| ~ box2_compatible(X1,X2,X5,X6,X3,X4,X7,X8) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_80,plain,
( axis_compatible(X1,X2,X3,X4)
| ~ box2_compatible(X5,X6,X1,X2,X7,X8,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_81,plain,
( box2_compatible(X1,X2,X5,X6,X3,X4,X7,X8)
| ~ axis_compatible(X1,X2,X3,X4)
| ~ axis_compatible(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_82,plain,
( box2_conflict(X1,X2,X5,X6,X3,X4,X7,X8)
| ~ axis_conflict(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_83,plain,
( box2_conflict(X5,X6,X1,X2,X7,X8,X3,X4)
| ~ axis_conflict(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_84,plain,
( in_closed(X1,X2,X3)
| ~ in_box2(X1,X4,X2,X3,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_85,plain,
( in_closed(X1,X2,X3)
| ~ in_box2(X4,X1,X5,X6,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_86,plain,
( in_box2(X1,X4,X2,X3,X5,X6)
| ~ in_closed(X1,X2,X3)
| ~ in_closed(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_87,plain,
( axis_subsumes(X1,X2,X3,X4)
| ~ in_closed(esk3_4(X1,X2,X3,X4),X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_88,plain,
( in_closed(esk2_4(X1,X2,X3,X4),X1,X2)
| ~ axis_compatible(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_89,plain,
( in_closed(esk2_4(X1,X2,X3,X4),X3,X4)
| ~ axis_compatible(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_90,plain,
( in_closed(esk3_4(X1,X2,X3,X4),X1,X2)
| axis_subsumes(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_91,plain,
( in_closed(esk1_4(X1,X2,X3,X4),X1,X2)
| axis_conflict(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_92,plain,
( in_closed(esk1_4(X1,X2,X3,X4),X3,X4)
| axis_conflict(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_93,plain,
( ~ axis_conflict(X1,X2,X3,X4)
| ~ in_closed(X5,X1,X2)
| ~ in_closed(X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_94,plain,
( in_closed(X5,X3,X4)
| ~ axis_subsumes(X1,X2,X3,X4)
| ~ in_closed(X5,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_95,plain,
( axis_compatible(X2,X3,X4,X5)
| ~ in_closed(X1,X2,X3)
| ~ in_closed(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_96,hypothesis,
axis_conflict(n0,n5,n10,n15),
inference(split_conjunct,[status(thm)],[conflict_hyp]),
[final] ).
cnf(i_0_97,plain,
( leq(X1,X2)
| ~ in_ropen(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_98,plain,
( leq(X1,X2)
| ~ in_ropen(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_99,plain,
( leq(X1,X2)
| ~ in_lopen(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_100,plain,
( leq(X1,X2)
| ~ in_lopen(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_101,plain,
( leq(X1,X2)
| ~ in_closed(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_102,plain,
( leq(X1,X2)
| ~ in_closed(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_103,plain,
( leq(X1,X2)
| ~ in_closed(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_104,plain,
( leq(X1,X2)
| ~ in_closed(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_105,plain,
( less(X1,X2)
| ~ in_open(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_106,plain,
( less(X1,X2)
| ~ in_open(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_107,plain,
( less(X1,X2)
| ~ in_open(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_108,plain,
( less(X1,X2)
| ~ in_open(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_109,plain,
( less(X1,X2)
| ~ in_ropen(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_110,plain,
( less(X1,X2)
| ~ in_ropen(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_111,plain,
( less(X1,X2)
| ~ in_lopen(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_112,plain,
( less(X1,X2)
| ~ in_lopen(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_113,plain,
( in_open(X2,X1,X3)
| ~ less(X1,X2)
| ~ less(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_114,plain,
( in_open(X2,X1,X3)
| ~ less(X1,X2)
| ~ less(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_115,plain,
( in_ropen(X2,X1,X3)
| ~ leq(X1,X2)
| ~ less(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_116,plain,
( in_ropen(X2,X1,X3)
| ~ leq(X1,X2)
| ~ less(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_117,plain,
( in_lopen(X2,X1,X3)
| ~ less(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_118,plain,
( in_lopen(X2,X1,X3)
| ~ less(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_119,plain,
( in_closed(X2,X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_120,plain,
( in_closed(X2,X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_121,plain,
( X1 = X2
| ~ in_closed(X1,X2,X2) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_122,plain,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_123,plain,
( less(X1,X3)
| ~ less(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_124,plain,
( less(X1,X3)
| ~ leq(X1,X2)
| ~ less(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_125,plain,
( less(X1,X3)
| ~ less(X1,X2)
| ~ less(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_126,plain,
( in_closed(X1,X2,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_127,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_63]),
[final] ).
cnf(i_0_128,negated_conjecture,
in_closed(esk4_0,n10,n15),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_129,negated_conjecture,
in_closed(esk4_0,n0,n5),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_130,plain,
( X1 = X2
| ~ leq(X1,X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_131,plain,
( less(X1,X2)
| X1 = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_132,plain,
( leq(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_133,plain,
( leq(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_134,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_68]),
[final] ).
cnf(i_0_135,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_68]),
[final] ).
cnf(i_0_136,plain,
( box_verdict(X1,X2) = compatible
| ~ is_verdict(X1)
| ~ is_verdict(X2)
| X1 != compatible
| X2 != compatible ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_137,plain,
( box_verdict(X1,X2) = conflict
| X1 != conflict
| ~ is_verdict(X1)
| ~ is_verdict(X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_138,plain,
( box_verdict(X2,X1) = conflict
| X1 != conflict
| ~ is_verdict(X2)
| ~ is_verdict(X1) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_139,plain,
( less(X1,X2)
| X1 = X2
| less(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_140,plain,
~ less(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_141,plain,
( leq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_142,plain,
( X1 = conflict
| X1 = compatible
| X1 = unknown
| ~ is_verdict(X1) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_143,hypothesis,
less(n10,n15),
inference(split_conjunct,[status(thm)],[order_10_15]),
[final] ).
cnf(i_0_144,hypothesis,
less(n5,n10),
inference(split_conjunct,[status(thm)],[order_5_10]),
[final] ).
cnf(i_0_145,hypothesis,
less(n0,n5),
inference(split_conjunct,[status(thm)],[order_0_5]),
[final] ).
cnf(i_0_146,plain,
is_verdict(unknown),
inference(split_conjunct,[status(thm)],[unknown_is_verdict]),
[final] ).
cnf(i_0_147,plain,
is_verdict(compatible),
inference(split_conjunct,[status(thm)],[compatible_is_verdict]),
[final] ).
cnf(i_0_148,plain,
is_verdict(conflict),
inference(split_conjunct,[status(thm)],[conflict_is_verdict]),
[final] ).
cnf(i_0_149,plain,
compatible != unknown,
inference(split_conjunct,[status(thm)],[verdicts_distinct_cp_un]),
[final] ).
cnf(i_0_150,plain,
conflict != unknown,
inference(split_conjunct,[status(thm)],[verdicts_distinct_cf_un]),
[final] ).
cnf(i_0_151,plain,
conflict != compatible,
inference(split_conjunct,[status(thm)],[verdicts_distinct_cf_cp]),
[final] ).
cnf(i_0_152,axiom,
X1 = X1 ).
cnf(i_0_153,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_154,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_155,axiom,
( X1 != X2
| box_verdict(X1,X3) = box_verdict(X2,X3) ) ).
cnf(i_0_156,axiom,
( X1 != X2
| box_verdict(X3,X1) = box_verdict(X3,X2) ) ).
cnf(i_0_157,axiom,
( X1 != X2
| ~ in_closed(X1,X3,X4)
| in_closed(X2,X3,X4) ) ).
cnf(i_0_158,axiom,
( X1 != X2
| ~ in_closed(X3,X1,X4)
| in_closed(X3,X2,X4) ) ).
cnf(i_0_159,axiom,
( X1 != X2
| ~ in_closed(X3,X4,X1)
| in_closed(X3,X4,X2) ) ).
cnf(i_0_160,axiom,
( X1 != X2
| ~ in_ropen(X1,X3,X4)
| in_ropen(X2,X3,X4) ) ).
cnf(i_0_161,axiom,
( X1 != X2
| ~ in_ropen(X3,X1,X4)
| in_ropen(X3,X2,X4) ) ).
cnf(i_0_162,axiom,
( X1 != X2
| ~ in_ropen(X3,X4,X1)
| in_ropen(X3,X4,X2) ) ).
cnf(i_0_163,axiom,
( X1 != X2
| ~ in_lopen(X1,X3,X4)
| in_lopen(X2,X3,X4) ) ).
cnf(i_0_164,axiom,
( X1 != X2
| ~ in_lopen(X3,X1,X4)
| in_lopen(X3,X2,X4) ) ).
cnf(i_0_165,axiom,
( X1 != X2
| ~ in_lopen(X3,X4,X1)
| in_lopen(X3,X4,X2) ) ).
cnf(i_0_166,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_167,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_168,axiom,
( X1 != X2
| ~ in_open(X1,X3,X4)
| in_open(X2,X3,X4) ) ).
cnf(i_0_169,axiom,
( X1 != X2
| ~ in_open(X3,X1,X4)
| in_open(X3,X2,X4) ) ).
cnf(i_0_170,axiom,
( X1 != X2
| ~ in_open(X3,X4,X1)
| in_open(X3,X4,X2) ) ).
cnf(i_0_171,axiom,
( X1 != X2
| ~ is_verdict(X1)
| is_verdict(X2) ) ).
cnf(i_0_172,axiom,
( X1 != X2
| ~ in_box3(X1,X3,X4,X5,X6,X7,X8,X9,X10)
| in_box3(X2,X3,X4,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_173,axiom,
( X1 != X2
| ~ in_box3(X3,X1,X4,X5,X6,X7,X8,X9,X10)
| in_box3(X3,X2,X4,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_174,axiom,
( X1 != X2
| ~ in_box3(X3,X4,X1,X5,X6,X7,X8,X9,X10)
| in_box3(X3,X4,X2,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_175,axiom,
( X1 != X2
| ~ in_box3(X3,X4,X5,X1,X6,X7,X8,X9,X10)
| in_box3(X3,X4,X5,X2,X6,X7,X8,X9,X10) ) ).
cnf(i_0_176,axiom,
( X1 != X2
| ~ in_box3(X3,X4,X5,X6,X1,X7,X8,X9,X10)
| in_box3(X3,X4,X5,X6,X2,X7,X8,X9,X10) ) ).
cnf(i_0_177,axiom,
( X1 != X2
| ~ in_box3(X3,X4,X5,X6,X7,X1,X8,X9,X10)
| in_box3(X3,X4,X5,X6,X7,X2,X8,X9,X10) ) ).
cnf(i_0_178,axiom,
( X1 != X2
| ~ in_box3(X3,X4,X5,X6,X7,X8,X1,X9,X10)
| in_box3(X3,X4,X5,X6,X7,X8,X2,X9,X10) ) ).
cnf(i_0_179,axiom,
( X1 != X2
| ~ in_box3(X3,X4,X5,X6,X7,X8,X9,X1,X10)
| in_box3(X3,X4,X5,X6,X7,X8,X9,X2,X10) ) ).
cnf(i_0_180,axiom,
( X1 != X2
| ~ in_box3(X3,X4,X5,X6,X7,X8,X9,X10,X1)
| in_box3(X3,X4,X5,X6,X7,X8,X9,X10,X2) ) ).
cnf(i_0_181,axiom,
( X1 != X2
| ~ axis_conflict(X1,X3,X4,X5)
| axis_conflict(X2,X3,X4,X5) ) ).
cnf(i_0_182,axiom,
( X1 != X2
| ~ axis_conflict(X3,X1,X4,X5)
| axis_conflict(X3,X2,X4,X5) ) ).
cnf(i_0_183,axiom,
( X1 != X2
| ~ axis_conflict(X3,X4,X1,X5)
| axis_conflict(X3,X4,X2,X5) ) ).
cnf(i_0_184,axiom,
( X1 != X2
| ~ axis_conflict(X3,X4,X5,X1)
| axis_conflict(X3,X4,X5,X2) ) ).
cnf(i_0_185,axiom,
( X1 != X2
| ~ box2_conflict(X1,X3,X4,X5,X6,X7,X8,X9)
| box2_conflict(X2,X3,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_186,axiom,
( X1 != X2
| ~ box2_conflict(X3,X1,X4,X5,X6,X7,X8,X9)
| box2_conflict(X3,X2,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_187,axiom,
( X1 != X2
| ~ box2_conflict(X3,X4,X1,X5,X6,X7,X8,X9)
| box2_conflict(X3,X4,X2,X5,X6,X7,X8,X9) ) ).
cnf(i_0_188,axiom,
( X1 != X2
| ~ box2_conflict(X3,X4,X5,X1,X6,X7,X8,X9)
| box2_conflict(X3,X4,X5,X2,X6,X7,X8,X9) ) ).
cnf(i_0_189,axiom,
( X1 != X2
| ~ box2_conflict(X3,X4,X5,X6,X1,X7,X8,X9)
| box2_conflict(X3,X4,X5,X6,X2,X7,X8,X9) ) ).
cnf(i_0_190,axiom,
( X1 != X2
| ~ box2_conflict(X3,X4,X5,X6,X7,X1,X8,X9)
| box2_conflict(X3,X4,X5,X6,X7,X2,X8,X9) ) ).
cnf(i_0_191,axiom,
( X1 != X2
| ~ box2_conflict(X3,X4,X5,X6,X7,X8,X1,X9)
| box2_conflict(X3,X4,X5,X6,X7,X8,X2,X9) ) ).
cnf(i_0_192,axiom,
( X1 != X2
| ~ box2_conflict(X3,X4,X5,X6,X7,X8,X9,X1)
| box2_conflict(X3,X4,X5,X6,X7,X8,X9,X2) ) ).
cnf(i_0_193,axiom,
( X1 != X2
| ~ axis_compatible(X1,X3,X4,X5)
| axis_compatible(X2,X3,X4,X5) ) ).
cnf(i_0_194,axiom,
( X1 != X2
| ~ axis_compatible(X3,X1,X4,X5)
| axis_compatible(X3,X2,X4,X5) ) ).
cnf(i_0_195,axiom,
( X1 != X2
| ~ axis_compatible(X3,X4,X1,X5)
| axis_compatible(X3,X4,X2,X5) ) ).
cnf(i_0_196,axiom,
( X1 != X2
| ~ axis_compatible(X3,X4,X5,X1)
| axis_compatible(X3,X4,X5,X2) ) ).
cnf(i_0_197,axiom,
( X1 != X2
| ~ box2_compatible(X1,X3,X4,X5,X6,X7,X8,X9)
| box2_compatible(X2,X3,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_198,axiom,
( X1 != X2
| ~ box2_compatible(X3,X1,X4,X5,X6,X7,X8,X9)
| box2_compatible(X3,X2,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_199,axiom,
( X1 != X2
| ~ box2_compatible(X3,X4,X1,X5,X6,X7,X8,X9)
| box2_compatible(X3,X4,X2,X5,X6,X7,X8,X9) ) ).
cnf(i_0_200,axiom,
( X1 != X2
| ~ box2_compatible(X3,X4,X5,X1,X6,X7,X8,X9)
| box2_compatible(X3,X4,X5,X2,X6,X7,X8,X9) ) ).
cnf(i_0_201,axiom,
( X1 != X2
| ~ box2_compatible(X3,X4,X5,X6,X1,X7,X8,X9)
| box2_compatible(X3,X4,X5,X6,X2,X7,X8,X9) ) ).
cnf(i_0_202,axiom,
( X1 != X2
| ~ box2_compatible(X3,X4,X5,X6,X7,X1,X8,X9)
| box2_compatible(X3,X4,X5,X6,X7,X2,X8,X9) ) ).
cnf(i_0_203,axiom,
( X1 != X2
| ~ box2_compatible(X3,X4,X5,X6,X7,X8,X1,X9)
| box2_compatible(X3,X4,X5,X6,X7,X8,X2,X9) ) ).
cnf(i_0_204,axiom,
( X1 != X2
| ~ box2_compatible(X3,X4,X5,X6,X7,X8,X9,X1)
| box2_compatible(X3,X4,X5,X6,X7,X8,X9,X2) ) ).
cnf(i_0_205,axiom,
( X1 != X2
| ~ in_box2(X1,X3,X4,X5,X6,X7)
| in_box2(X2,X3,X4,X5,X6,X7) ) ).
cnf(i_0_206,axiom,
( X1 != X2
| ~ in_box2(X3,X1,X4,X5,X6,X7)
| in_box2(X3,X2,X4,X5,X6,X7) ) ).
cnf(i_0_207,axiom,
( X1 != X2
| ~ in_box2(X3,X4,X1,X5,X6,X7)
| in_box2(X3,X4,X2,X5,X6,X7) ) ).
cnf(i_0_208,axiom,
( X1 != X2
| ~ in_box2(X3,X4,X5,X1,X6,X7)
| in_box2(X3,X4,X5,X2,X6,X7) ) ).
cnf(i_0_209,axiom,
( X1 != X2
| ~ in_box2(X3,X4,X5,X6,X1,X7)
| in_box2(X3,X4,X5,X6,X2,X7) ) ).
cnf(i_0_210,axiom,
( X1 != X2
| ~ in_box2(X3,X4,X5,X6,X7,X1)
| in_box2(X3,X4,X5,X6,X7,X2) ) ).
cnf(i_0_211,axiom,
( X1 != X2
| ~ axis_subsumes(X1,X3,X4,X5)
| axis_subsumes(X2,X3,X4,X5) ) ).
cnf(i_0_212,axiom,
( X1 != X2
| ~ axis_subsumes(X3,X1,X4,X5)
| axis_subsumes(X3,X2,X4,X5) ) ).
cnf(i_0_213,axiom,
( X1 != X2
| ~ axis_subsumes(X3,X4,X1,X5)
| axis_subsumes(X3,X4,X2,X5) ) ).
cnf(i_0_214,axiom,
( X1 != X2
| ~ axis_subsumes(X3,X4,X5,X1)
| axis_subsumes(X3,X4,X5,X2) ) ).
cnf(i_0_215,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_216,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_152_001,axiom,
X1 = X1 ).
cnf(i_0_153_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_154_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_155_004,axiom,
( X1 != X2
| box_verdict(X1,X3) = box_verdict(X2,X3) ) ).
cnf(i_0_156_005,axiom,
( X1 != X2
| box_verdict(X3,X1) = box_verdict(X3,X2) ) ).
cnf(i_0_157_006,axiom,
( X1 != X2
| ~ in_closed(X1,X3,X4)
| in_closed(X2,X3,X4) ) ).
cnf(i_0_158_007,axiom,
( X1 != X2
| ~ in_closed(X3,X1,X4)
| in_closed(X3,X2,X4) ) ).
cnf(i_0_159_008,axiom,
( X1 != X2
| ~ in_closed(X3,X4,X1)
| in_closed(X3,X4,X2) ) ).
cnf(i_0_160_009,axiom,
( X1 != X2
| ~ in_ropen(X1,X3,X4)
| in_ropen(X2,X3,X4) ) ).
cnf(i_0_161_010,axiom,
( X1 != X2
| ~ in_ropen(X3,X1,X4)
| in_ropen(X3,X2,X4) ) ).
cnf(i_0_162_011,axiom,
( X1 != X2
| ~ in_ropen(X3,X4,X1)
| in_ropen(X3,X4,X2) ) ).
cnf(i_0_163_012,axiom,
( X1 != X2
| ~ in_lopen(X1,X3,X4)
| in_lopen(X2,X3,X4) ) ).
cnf(i_0_164_013,axiom,
( X1 != X2
| ~ in_lopen(X3,X1,X4)
| in_lopen(X3,X2,X4) ) ).
cnf(i_0_165_014,axiom,
( X1 != X2
| ~ in_lopen(X3,X4,X1)
| in_lopen(X3,X4,X2) ) ).
cnf(i_0_166_015,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_167_016,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_168_017,axiom,
( X1 != X2
| ~ in_open(X1,X3,X4)
| in_open(X2,X3,X4) ) ).
cnf(i_0_169_018,axiom,
( X1 != X2
| ~ in_open(X3,X1,X4)
| in_open(X3,X2,X4) ) ).
cnf(i_0_170_019,axiom,
( X1 != X2
| ~ in_open(X3,X4,X1)
| in_open(X3,X4,X2) ) ).
cnf(i_0_171_020,axiom,
( X1 != X2
| ~ is_verdict(X1)
| is_verdict(X2) ) ).
cnf(i_0_172_021,axiom,
( X1 != X2
| ~ in_box3(X1,X3,X4,X5,X6,X7,X8,X9,X10)
| in_box3(X2,X3,X4,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_173_022,axiom,
( X1 != X2
| ~ in_box3(X3,X1,X4,X5,X6,X7,X8,X9,X10)
| in_box3(X3,X2,X4,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_174_023,axiom,
( X1 != X2
| ~ in_box3(X3,X4,X1,X5,X6,X7,X8,X9,X10)
| in_box3(X3,X4,X2,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_175_024,axiom,
( X1 != X2
| ~ in_box3(X3,X4,X5,X1,X6,X7,X8,X9,X10)
| in_box3(X3,X4,X5,X2,X6,X7,X8,X9,X10) ) ).
cnf(i_0_176_025,axiom,
( X1 != X2
| ~ in_box3(X3,X4,X5,X6,X1,X7,X8,X9,X10)
| in_box3(X3,X4,X5,X6,X2,X7,X8,X9,X10) ) ).
cnf(i_0_177_026,axiom,
( X1 != X2
| ~ in_box3(X3,X4,X5,X6,X7,X1,X8,X9,X10)
| in_box3(X3,X4,X5,X6,X7,X2,X8,X9,X10) ) ).
cnf(i_0_178_027,axiom,
( X1 != X2
| ~ in_box3(X3,X4,X5,X6,X7,X8,X1,X9,X10)
| in_box3(X3,X4,X5,X6,X7,X8,X2,X9,X10) ) ).
cnf(i_0_179_028,axiom,
( X1 != X2
| ~ in_box3(X3,X4,X5,X6,X7,X8,X9,X1,X10)
| in_box3(X3,X4,X5,X6,X7,X8,X9,X2,X10) ) ).
cnf(i_0_180_029,axiom,
( X1 != X2
| ~ in_box3(X3,X4,X5,X6,X7,X8,X9,X10,X1)
| in_box3(X3,X4,X5,X6,X7,X8,X9,X10,X2) ) ).
cnf(i_0_181_030,axiom,
( X1 != X2
| ~ axis_conflict(X1,X3,X4,X5)
| axis_conflict(X2,X3,X4,X5) ) ).
cnf(i_0_182_031,axiom,
( X1 != X2
| ~ axis_conflict(X3,X1,X4,X5)
| axis_conflict(X3,X2,X4,X5) ) ).
cnf(i_0_183_032,axiom,
( X1 != X2
| ~ axis_conflict(X3,X4,X1,X5)
| axis_conflict(X3,X4,X2,X5) ) ).
cnf(i_0_184_033,axiom,
( X1 != X2
| ~ axis_conflict(X3,X4,X5,X1)
| axis_conflict(X3,X4,X5,X2) ) ).
cnf(i_0_185_034,axiom,
( X1 != X2
| ~ box2_conflict(X1,X3,X4,X5,X6,X7,X8,X9)
| box2_conflict(X2,X3,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_186_035,axiom,
( X1 != X2
| ~ box2_conflict(X3,X1,X4,X5,X6,X7,X8,X9)
| box2_conflict(X3,X2,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_187_036,axiom,
( X1 != X2
| ~ box2_conflict(X3,X4,X1,X5,X6,X7,X8,X9)
| box2_conflict(X3,X4,X2,X5,X6,X7,X8,X9) ) ).
cnf(i_0_188_037,axiom,
( X1 != X2
| ~ box2_conflict(X3,X4,X5,X1,X6,X7,X8,X9)
| box2_conflict(X3,X4,X5,X2,X6,X7,X8,X9) ) ).
cnf(i_0_189_038,axiom,
( X1 != X2
| ~ box2_conflict(X3,X4,X5,X6,X1,X7,X8,X9)
| box2_conflict(X3,X4,X5,X6,X2,X7,X8,X9) ) ).
cnf(i_0_190_039,axiom,
( X1 != X2
| ~ box2_conflict(X3,X4,X5,X6,X7,X1,X8,X9)
| box2_conflict(X3,X4,X5,X6,X7,X2,X8,X9) ) ).
cnf(i_0_191_040,axiom,
( X1 != X2
| ~ box2_conflict(X3,X4,X5,X6,X7,X8,X1,X9)
| box2_conflict(X3,X4,X5,X6,X7,X8,X2,X9) ) ).
cnf(i_0_192_041,axiom,
( X1 != X2
| ~ box2_conflict(X3,X4,X5,X6,X7,X8,X9,X1)
| box2_conflict(X3,X4,X5,X6,X7,X8,X9,X2) ) ).
cnf(i_0_193_042,axiom,
( X1 != X2
| ~ axis_compatible(X1,X3,X4,X5)
| axis_compatible(X2,X3,X4,X5) ) ).
cnf(i_0_194_043,axiom,
( X1 != X2
| ~ axis_compatible(X3,X1,X4,X5)
| axis_compatible(X3,X2,X4,X5) ) ).
cnf(i_0_195_044,axiom,
( X1 != X2
| ~ axis_compatible(X3,X4,X1,X5)
| axis_compatible(X3,X4,X2,X5) ) ).
cnf(i_0_196_045,axiom,
( X1 != X2
| ~ axis_compatible(X3,X4,X5,X1)
| axis_compatible(X3,X4,X5,X2) ) ).
cnf(i_0_197_046,axiom,
( X1 != X2
| ~ box2_compatible(X1,X3,X4,X5,X6,X7,X8,X9)
| box2_compatible(X2,X3,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_198_047,axiom,
( X1 != X2
| ~ box2_compatible(X3,X1,X4,X5,X6,X7,X8,X9)
| box2_compatible(X3,X2,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_199_048,axiom,
( X1 != X2
| ~ box2_compatible(X3,X4,X1,X5,X6,X7,X8,X9)
| box2_compatible(X3,X4,X2,X5,X6,X7,X8,X9) ) ).
cnf(i_0_200_049,axiom,
( X1 != X2
| ~ box2_compatible(X3,X4,X5,X1,X6,X7,X8,X9)
| box2_compatible(X3,X4,X5,X2,X6,X7,X8,X9) ) ).
cnf(i_0_201_050,axiom,
( X1 != X2
| ~ box2_compatible(X3,X4,X5,X6,X1,X7,X8,X9)
| box2_compatible(X3,X4,X5,X6,X2,X7,X8,X9) ) ).
cnf(i_0_202_051,axiom,
( X1 != X2
| ~ box2_compatible(X3,X4,X5,X6,X7,X1,X8,X9)
| box2_compatible(X3,X4,X5,X6,X7,X2,X8,X9) ) ).
cnf(i_0_203_052,axiom,
( X1 != X2
| ~ box2_compatible(X3,X4,X5,X6,X7,X8,X1,X9)
| box2_compatible(X3,X4,X5,X6,X7,X8,X2,X9) ) ).
cnf(i_0_204_053,axiom,
( X1 != X2
| ~ box2_compatible(X3,X4,X5,X6,X7,X8,X9,X1)
| box2_compatible(X3,X4,X5,X6,X7,X8,X9,X2) ) ).
cnf(i_0_205_054,axiom,
( X1 != X2
| ~ in_box2(X1,X3,X4,X5,X6,X7)
| in_box2(X2,X3,X4,X5,X6,X7) ) ).
cnf(i_0_206_055,axiom,
( X1 != X2
| ~ in_box2(X3,X1,X4,X5,X6,X7)
| in_box2(X3,X2,X4,X5,X6,X7) ) ).
cnf(i_0_207_056,axiom,
( X1 != X2
| ~ in_box2(X3,X4,X1,X5,X6,X7)
| in_box2(X3,X4,X2,X5,X6,X7) ) ).
cnf(i_0_208_057,axiom,
( X1 != X2
| ~ in_box2(X3,X4,X5,X1,X6,X7)
| in_box2(X3,X4,X5,X2,X6,X7) ) ).
cnf(i_0_209_058,axiom,
( X1 != X2
| ~ in_box2(X3,X4,X5,X6,X1,X7)
| in_box2(X3,X4,X5,X6,X2,X7) ) ).
cnf(i_0_210_059,axiom,
( X1 != X2
| ~ in_box2(X3,X4,X5,X6,X7,X1)
| in_box2(X3,X4,X5,X6,X7,X2) ) ).
cnf(i_0_211_060,axiom,
( X1 != X2
| ~ axis_subsumes(X1,X3,X4,X5)
| axis_subsumes(X2,X3,X4,X5) ) ).
cnf(i_0_212_061,axiom,
( X1 != X2
| ~ axis_subsumes(X3,X1,X4,X5)
| axis_subsumes(X3,X2,X4,X5) ) ).
cnf(i_0_213_062,axiom,
( X1 != X2
| ~ axis_subsumes(X3,X4,X1,X5)
| axis_subsumes(X3,X4,X2,X5) ) ).
cnf(i_0_214_063,axiom,
( X1 != X2
| ~ axis_subsumes(X3,X4,X5,X1)
| axis_subsumes(X3,X4,X5,X2) ) ).
cnf(i_0_215_064,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_216_065,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_217,plain,
in_closed(X1,X1,X1),
inference(equality_inference,[],[126]) ).
cnf(i_0_218,plain,
( ~ is_verdict(unknown)
| ~ is_verdict(X1)
| unknown = conflict
| X1 = conflict
| box_verdict(unknown,X1) = unknown ),
inference(equality_inference,[],[134]) ).
cnf(i_0_219,plain,
( ~ is_verdict(X1)
| ~ is_verdict(unknown)
| X1 = conflict
| unknown = conflict
| box_verdict(X1,unknown) = unknown ),
inference(equality_inference,[],[135]) ).
cnf(i_0_220,plain,
( ~ is_verdict(conflict)
| ~ is_verdict(X1)
| box_verdict(conflict,X1) = conflict ),
inference(equality_inference,[],[137]) ).
cnf(i_0_221,plain,
( ~ is_verdict(X1)
| ~ is_verdict(conflict)
| box_verdict(X1,conflict) = conflict ),
inference(equality_inference,[],[138]) ).
cnf(i_0_222,plain,
leq(X1,X1),
inference(equality_inference,[],[141]) ).
cnf(i_0_223,plain,
$false,
inference(scs_inference,[],[i_0_96,i_0_129,i_0_128,i_0_93]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT071+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n017.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 23:31:12 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.29/1.62 % Version : CSE_E---1.7
% 0.29/1.62 % Problem : theBenchmark.p
% 0.29/1.62 % SZS status Theorem for theBenchmark.p
% 0.29/1.62 % SZS output start CNFRefutation
% See solution above
% 0.29/1.65 % Total time : 1.274s
%------------------------------------------------------------------------------