%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO089+1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n008.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 04:19:17 PM UTC 2026
% Result : Theorem 92.13s 69.29s
% Output : CNFRefutation 95.83s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_123)
% Comments :
%------------------------------------------------------------------------------
fof(inner_point_defn,axiom,
! [X3,X1] :
( inner_point(X3,X1)
<=> ( incident_c(X3,X1)
& ~ end_point(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',inner_point_defn) ).
fof(corollary_2_11,conjecture,
! [X1,X3] :
( ? [X8] :
( part_of(X8,X1)
& inner_point(X3,X8) )
=> inner_point(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_11) ).
fof(meet_defn,axiom,
! [X3,X1,X2] :
( meet(X3,X1,X2)
<=> ( incident_c(X3,X1)
& incident_c(X3,X2)
& ! [X5] :
( ( incident_c(X5,X1)
& incident_c(X5,X2) )
=> ( end_point(X5,X1)
& end_point(X5,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',meet_defn) ).
fof(sum_defn,axiom,
! [X1,X2,X4] :
( X1 = sum(X2,X4)
<=> ! [X5] :
( incident_c(X5,X1)
<=> ( incident_c(X5,X2)
| incident_c(X5,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',sum_defn) ).
fof(c2,axiom,
! [X1,X2,X4,X6] :
( ( part_of(X2,X1)
& part_of(X4,X1)
& part_of(X6,X1)
& ? [X3] :
( end_point(X3,X2)
& end_point(X3,X4)
& end_point(X3,X6) ) )
=> ( part_of(X4,X6)
| part_of(X6,X4)
| part_of(X2,X4)
| part_of(X4,X2)
| part_of(X2,X6)
| part_of(X6,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c2) ).
fof(c7,axiom,
! [X1,X2,X4,X3] :
( ( closed(X1)
& meet(X3,X2,X4)
& X1 = sum(X2,X4) )
=> ! [X5] :
( end_point(X5,X2)
=> meet(X5,X2,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c7) ).
fof(end_point_defn,axiom,
! [X3,X1] :
( end_point(X3,X1)
<=> ( incident_c(X3,X1)
& ! [X2,X4] :
( ( part_of(X2,X1)
& part_of(X4,X1)
& incident_c(X3,X2)
& incident_c(X3,X4) )
=> ( part_of(X2,X4)
| part_of(X4,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',end_point_defn) ).
fof(c4,axiom,
! [X1,X3] :
( inner_point(X3,X1)
=> ? [X2,X4] :
( meet(X3,X2,X4)
& X1 = sum(X2,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c4) ).
fof(c9,axiom,
! [X1,X2] :
( ! [X3] :
( incident_c(X3,X1)
<=> incident_c(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c9) ).
fof(c8,axiom,
! [X2,X4] :
( ? [X3] : meet(X3,X2,X4)
=> ? [X1] : X1 = sum(X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c8) ).
fof(part_of_defn,axiom,
! [X1,X2] :
( part_of(X2,X1)
<=> ! [X3] :
( incident_c(X3,X2)
=> incident_c(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
fof(c5,axiom,
! [X1,X3,X5,X7] :
( ( end_point(X3,X1)
& end_point(X5,X1)
& end_point(X7,X1) )
=> ( X3 = X5
| X3 = X7
| X5 = X7 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c5) ).
fof(c6,axiom,
! [X1,X3] :
( end_point(X3,X1)
=> ? [X5] :
( end_point(X5,X1)
& X3 != X5 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c6) ).
fof(closed_defn,axiom,
! [X1] :
( closed(X1)
<=> ~ ? [X3] : end_point(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',closed_defn) ).
fof(c1,axiom,
! [X1,X2] :
( ( part_of(X2,X1)
& X2 != X1 )
=> open(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c1) ).
fof(open_defn,axiom,
! [X1] :
( open(X1)
<=> ? [X3] : end_point(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',open_defn) ).
fof(c3,axiom,
! [X1] :
? [X3] : inner_point(X3,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c3) ).
fof(i_0_17,plain,
! [X3,X1] :
( inner_point(X3,X1)
<=> ( incident_c(X3,X1)
& ~ end_point(X3,X1) ) ),
inference(fof_simplification,[status(thm)],[inner_point_defn]) ).
fof(i_0_18,negated_conjecture,
~ ! [X1,X3] :
( ? [X8] :
( part_of(X8,X1)
& inner_point(X3,X8) )
=> inner_point(X3,X1) ),
inference(assume_negation,[status(cth)],[corollary_2_11]) ).
fof(i_0_19,plain,
! [X90,X91,X92,X93,X94,X95,X96] :
( ( incident_c(X90,X91)
| ~ meet(X90,X91,X92) )
& ( incident_c(X90,X92)
| ~ meet(X90,X91,X92) )
& ( end_point(X93,X91)
| ~ incident_c(X93,X91)
| ~ incident_c(X93,X92)
| ~ meet(X90,X91,X92) )
& ( end_point(X93,X92)
| ~ incident_c(X93,X91)
| ~ incident_c(X93,X92)
| ~ meet(X90,X91,X92) )
& ( incident_c(esk5_3(X94,X95,X96),X95)
| ~ incident_c(X94,X95)
| ~ incident_c(X94,X96)
| meet(X94,X95,X96) )
& ( incident_c(esk5_3(X94,X95,X96),X96)
| ~ incident_c(X94,X95)
| ~ incident_c(X94,X96)
| meet(X94,X95,X96) )
& ( ~ end_point(esk5_3(X94,X95,X96),X95)
| ~ end_point(esk5_3(X94,X95,X96),X96)
| ~ incident_c(X94,X95)
| ~ incident_c(X94,X96)
| meet(X94,X95,X96) ) ),
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)],[meet_defn])])])])])]) ).
fof(i_0_20,plain,
! [X71,X72,X73,X74,X75,X76,X77,X78] :
( ( ~ incident_c(X74,X71)
| incident_c(X74,X72)
| incident_c(X74,X73)
| X71 != sum(X72,X73) )
& ( ~ incident_c(X75,X72)
| incident_c(X75,X71)
| X71 != sum(X72,X73) )
& ( ~ incident_c(X75,X73)
| incident_c(X75,X71)
| X71 != sum(X72,X73) )
& ( ~ incident_c(esk2_3(X76,X77,X78),X77)
| ~ incident_c(esk2_3(X76,X77,X78),X76)
| X76 = sum(X77,X78) )
& ( ~ incident_c(esk2_3(X76,X77,X78),X78)
| ~ incident_c(esk2_3(X76,X77,X78),X76)
| X76 = sum(X77,X78) )
& ( incident_c(esk2_3(X76,X77,X78),X76)
| incident_c(esk2_3(X76,X77,X78),X77)
| incident_c(esk2_3(X76,X77,X78),X78)
| X76 = sum(X77,X78) ) ),
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)],[sum_defn])])])])])]) ).
fof(i_0_21,plain,
! [X108,X109,X110,X111,X112] :
( ~ part_of(X109,X108)
| ~ part_of(X110,X108)
| ~ part_of(X111,X108)
| ~ end_point(X112,X109)
| ~ end_point(X112,X110)
| ~ end_point(X112,X111)
| part_of(X110,X111)
| part_of(X111,X110)
| part_of(X109,X110)
| part_of(X110,X109)
| part_of(X109,X111)
| part_of(X111,X109) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c2])])]) ).
fof(i_0_22,plain,
! [X126,X127,X128,X129,X130] :
( ~ closed(X126)
| ~ meet(X129,X127,X128)
| X126 != sum(X127,X128)
| ~ end_point(X130,X127)
| meet(X130,X127,X128) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c7])])]) ).
fof(i_0_23,plain,
! [X80,X81,X82,X83,X84,X85] :
( ( incident_c(X80,X81)
| ~ end_point(X80,X81) )
& ( ~ part_of(X82,X81)
| ~ part_of(X83,X81)
| ~ incident_c(X80,X82)
| ~ incident_c(X80,X83)
| part_of(X82,X83)
| part_of(X83,X82)
| ~ end_point(X80,X81) )
& ( part_of(esk3_2(X84,X85),X85)
| ~ incident_c(X84,X85)
| end_point(X84,X85) )
& ( part_of(esk4_2(X84,X85),X85)
| ~ incident_c(X84,X85)
| end_point(X84,X85) )
& ( incident_c(X84,esk3_2(X84,X85))
| ~ incident_c(X84,X85)
| end_point(X84,X85) )
& ( incident_c(X84,esk4_2(X84,X85))
| ~ incident_c(X84,X85)
| end_point(X84,X85) )
& ( ~ part_of(esk3_2(X84,X85),esk4_2(X84,X85))
| ~ incident_c(X84,X85)
| end_point(X84,X85) )
& ( ~ part_of(esk4_2(X84,X85),esk3_2(X84,X85))
| ~ incident_c(X84,X85)
| end_point(X84,X85) ) ),
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)],[end_point_defn])])])])])]) ).
fof(i_0_24,plain,
! [X115,X116] :
( ( meet(X116,esk9_2(X115,X116),esk10_2(X115,X116))
| ~ inner_point(X116,X115) )
& ( X115 = sum(esk9_2(X115,X116),esk10_2(X115,X116))
| ~ inner_point(X116,X115) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c4])])])]) ).
fof(i_0_25,plain,
! [X135,X136] :
( ( ~ incident_c(esk13_2(X135,X136),X135)
| ~ incident_c(esk13_2(X135,X136),X136)
| X135 = X136 )
& ( incident_c(esk13_2(X135,X136),X135)
| incident_c(esk13_2(X135,X136),X136)
| X135 = X136 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c9])])])]) ).
fof(i_0_26,plain,
! [X131,X132,X133] :
( ~ meet(X133,X131,X132)
| esk12_2(X131,X132) = sum(X131,X132) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c8])])])]) ).
fof(i_0_27,plain,
! [X65,X66,X67,X68,X69] :
( ( ~ part_of(X66,X65)
| ~ incident_c(X67,X66)
| incident_c(X67,X65) )
& ( incident_c(esk1_2(X68,X69),X69)
| part_of(X69,X68) )
& ( ~ incident_c(esk1_2(X68,X69),X68)
| part_of(X69,X68) ) ),
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)],[part_of_defn])])])])])]) ).
fof(i_0_28,plain,
! [X119,X120,X121,X122] :
( ~ end_point(X120,X119)
| ~ end_point(X121,X119)
| ~ end_point(X122,X119)
| X120 = X121
| X120 = X122
| X121 = X122 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c5])]) ).
fof(i_0_29,plain,
! [X123,X124] :
( ( end_point(esk11_2(X123,X124),X123)
| ~ end_point(X124,X123) )
& ( X124 != esk11_2(X123,X124)
| ~ end_point(X124,X123) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c6])])])]) ).
fof(i_0_30,plain,
! [X88,X89] :
( ( incident_c(X88,X89)
| ~ inner_point(X88,X89) )
& ( ~ end_point(X88,X89)
| ~ inner_point(X88,X89) )
& ( ~ incident_c(X88,X89)
| end_point(X88,X89)
| inner_point(X88,X89) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_17])])]) ).
fof(i_0_31,plain,
! [X98,X99,X100] :
( ( ~ closed(X98)
| ~ end_point(X99,X98) )
& ( end_point(esk6_1(X100),X100)
| closed(X100) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[closed_defn])])])])]) ).
fof(i_0_32,plain,
! [X106,X107] :
( ~ part_of(X107,X106)
| X107 = X106
| open(X107) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c1])]) ).
fof(i_0_33,plain,
! [X102,X104,X105] :
( ( ~ open(X102)
| end_point(esk7_1(X102),X102) )
& ( ~ end_point(X105,X104)
| open(X104) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[open_defn])])])])]) ).
fof(i_0_34,plain,
! [X113] : inner_point(esk8_1(X113),X113),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c3])]) ).
fof(i_0_35,negated_conjecture,
( part_of(esk16_0,esk14_0)
& inner_point(esk15_0,esk16_0)
& ~ inner_point(esk15_0,esk14_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_18])])]) ).
cnf(i_0_36,plain,
( meet(X1,X2,X3)
| ~ end_point(esk5_3(X1,X2,X3),X2)
| ~ end_point(esk5_3(X1,X2,X3),X3)
| ~ incident_c(X1,X2)
| ~ incident_c(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_37,plain,
( X1 = sum(X2,X3)
| ~ incident_c(esk2_3(X1,X2,X3),X2)
| ~ incident_c(esk2_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[i_0_20]),
[final] ).
cnf(i_0_38,plain,
( X1 = sum(X2,X3)
| ~ incident_c(esk2_3(X1,X2,X3),X3)
| ~ incident_c(esk2_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[i_0_20]),
[final] ).
cnf(i_0_39,plain,
( incident_c(esk2_3(X1,X2,X3),X1)
| incident_c(esk2_3(X1,X2,X3),X2)
| incident_c(esk2_3(X1,X2,X3),X3)
| X1 = sum(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_20]),
[final] ).
cnf(i_0_40,plain,
( part_of(X3,X4)
| part_of(X4,X3)
| part_of(X1,X3)
| part_of(X3,X1)
| part_of(X1,X4)
| part_of(X4,X1)
| ~ part_of(X1,X2)
| ~ part_of(X3,X2)
| ~ part_of(X4,X2)
| ~ end_point(X5,X1)
| ~ end_point(X5,X3)
| ~ end_point(X5,X4) ),
inference(split_conjunct,[status(thm)],[i_0_21]),
[final] ).
cnf(i_0_41,plain,
( incident_c(esk5_3(X1,X2,X3),X2)
| meet(X1,X2,X3)
| ~ incident_c(X1,X2)
| ~ incident_c(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_42,plain,
( incident_c(esk5_3(X1,X2,X3),X3)
| meet(X1,X2,X3)
| ~ incident_c(X1,X2)
| ~ incident_c(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_43,plain,
( meet(X5,X3,X4)
| ~ closed(X1)
| ~ meet(X2,X3,X4)
| X1 != sum(X3,X4)
| ~ end_point(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_22]),
[final] ).
cnf(i_0_44,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ incident_c(X1,X3)
| ~ meet(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_45,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2)
| ~ meet(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_46,plain,
( part_of(X1,X3)
| part_of(X3,X1)
| ~ part_of(X1,X2)
| ~ part_of(X3,X2)
| ~ incident_c(X4,X1)
| ~ incident_c(X4,X3)
| ~ end_point(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_47,plain,
( end_point(X1,X2)
| ~ part_of(esk4_2(X1,X2),esk3_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_48,plain,
( end_point(X1,X2)
| ~ part_of(esk3_2(X1,X2),esk4_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_49,plain,
( meet(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_24]),
[final] ).
cnf(i_0_50,plain,
( X1 = X2
| ~ incident_c(esk13_2(X1,X2),X1)
| ~ incident_c(esk13_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_25]),
[final] ).
cnf(i_0_51,plain,
( esk12_2(X2,X3) = sum(X2,X3)
| ~ meet(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_26]),
[final] ).
cnf(i_0_52,plain,
( incident_c(X1,X2)
| ~ meet(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_53,plain,
( incident_c(X1,X2)
| ~ meet(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_54,plain,
( X1 = sum(esk9_2(X1,X2),esk10_2(X1,X2))
| ~ inner_point(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_24]),
[final] ).
cnf(i_0_55,plain,
( incident_c(esk13_2(X1,X2),X1)
| incident_c(esk13_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[i_0_25]),
[final] ).
cnf(i_0_56,plain,
( part_of(X2,X1)
| ~ incident_c(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[i_0_27]),
[final] ).
cnf(i_0_57,plain,
( part_of(esk4_2(X1,X2),X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_58,plain,
( part_of(esk3_2(X1,X2),X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_59,plain,
( incident_c(X1,esk4_2(X1,X2))
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_60,plain,
( incident_c(X1,esk3_2(X1,X2))
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_61,plain,
( incident_c(X1,X3)
| incident_c(X1,X4)
| ~ incident_c(X1,X2)
| X2 != sum(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_20]),
[final] ).
cnf(i_0_62,plain,
( X1 = X3
| X1 = X4
| X3 = X4
| ~ end_point(X1,X2)
| ~ end_point(X3,X2)
| ~ end_point(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_28]),
[final] ).
cnf(i_0_63,plain,
( end_point(esk11_2(X1,X2),X1)
| ~ end_point(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_29]),
[final] ).
cnf(i_0_64,plain,
( incident_c(X1,X3)
| ~ incident_c(X1,X2)
| X3 != sum(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_20]),
[final] ).
cnf(i_0_65,plain,
( incident_c(X1,X3)
| ~ incident_c(X1,X2)
| X3 != sum(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_20]),
[final] ).
cnf(i_0_66,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_27]),
[final] ).
cnf(i_0_67,plain,
( incident_c(esk1_2(X1,X2),X2)
| part_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_27]),
[final] ).
cnf(i_0_68,plain,
( end_point(X1,X2)
| inner_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_30]),
[final] ).
cnf(i_0_69,plain,
( X1 != esk11_2(X2,X1)
| ~ end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_29]),
[final] ).
cnf(i_0_70,plain,
( ~ end_point(X1,X2)
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_30]),
[final] ).
cnf(i_0_71,plain,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_30]),
[final] ).
cnf(i_0_72,plain,
( incident_c(X1,X2)
| ~ end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_73,plain,
( ~ closed(X1)
| ~ end_point(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_31]),
[final] ).
cnf(i_0_74,plain,
( X1 = X2
| open(X1)
| ~ part_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_75,plain,
( end_point(esk7_1(X1),X1)
| ~ open(X1) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_76,plain,
( open(X2)
| ~ end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_77,plain,
( end_point(esk6_1(X1),X1)
| closed(X1) ),
inference(split_conjunct,[status(thm)],[i_0_31]),
[final] ).
cnf(i_0_78,plain,
inner_point(esk8_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_79,negated_conjecture,
~ inner_point(esk15_0,esk14_0),
inference(split_conjunct,[status(thm)],[i_0_35]),
[final] ).
cnf(i_0_80,negated_conjecture,
inner_point(esk15_0,esk16_0),
inference(split_conjunct,[status(thm)],[i_0_35]),
[final] ).
cnf(i_0_81,negated_conjecture,
part_of(esk16_0,esk14_0),
inference(split_conjunct,[status(thm)],[i_0_35]),
[final] ).
cnf(i_0_82,axiom,
X1 = X1 ).
cnf(i_0_83,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_84,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_85,axiom,
( X1 != X2
| esk11_2(X1,X3) = esk11_2(X2,X3) ) ).
cnf(i_0_86,axiom,
( X1 != X2
| esk11_2(X3,X1) = esk11_2(X3,X2) ) ).
cnf(i_0_87,axiom,
( X1 != X2
| sum(X1,X3) = sum(X2,X3) ) ).
cnf(i_0_88,axiom,
( X1 != X2
| sum(X3,X1) = sum(X3,X2) ) ).
cnf(i_0_89,axiom,
( X1 != X2
| esk12_2(X1,X3) = esk12_2(X2,X3) ) ).
cnf(i_0_90,axiom,
( X1 != X2
| esk12_2(X3,X1) = esk12_2(X3,X2) ) ).
cnf(i_0_91,axiom,
( X1 != X2
| ~ meet(X1,X3,X4)
| meet(X2,X3,X4) ) ).
cnf(i_0_92,axiom,
( X1 != X2
| ~ meet(X3,X1,X4)
| meet(X3,X2,X4) ) ).
cnf(i_0_93,axiom,
( X1 != X2
| ~ meet(X3,X4,X1)
| meet(X3,X4,X2) ) ).
cnf(i_0_94,axiom,
( X1 != X2
| ~ end_point(X1,X3)
| end_point(X2,X3) ) ).
cnf(i_0_95,axiom,
( X1 != X2
| ~ end_point(X3,X1)
| end_point(X3,X2) ) ).
cnf(i_0_96,axiom,
( X1 != X2
| ~ incident_c(X1,X3)
| incident_c(X2,X3) ) ).
cnf(i_0_97,axiom,
( X1 != X2
| ~ incident_c(X3,X1)
| incident_c(X3,X2) ) ).
cnf(i_0_98,axiom,
( X1 != X2
| ~ part_of(X1,X3)
| part_of(X2,X3) ) ).
cnf(i_0_99,axiom,
( X1 != X2
| ~ part_of(X3,X1)
| part_of(X3,X2) ) ).
cnf(i_0_100,axiom,
( X1 != X2
| ~ closed(X1)
| closed(X2) ) ).
cnf(i_0_101,axiom,
( X1 != X2
| ~ inner_point(X1,X3)
| inner_point(X2,X3) ) ).
cnf(i_0_102,axiom,
( X1 != X2
| ~ inner_point(X3,X1)
| inner_point(X3,X2) ) ).
cnf(i_0_103,axiom,
( X1 != X2
| ~ open(X1)
| open(X2) ) ).
cnf(i_0_404,plain,
end_point(esk6_1(esk14_0),esk14_0),
inference(scs_inference,[],[i_0_123,i_0_73,i_0_76,i_0_75,i_0_77]) ).
cnf(i_0_406,plain,
end_point(esk11_2(esk14_0,esk15_0),esk14_0),
inference(scs_inference,[],[i_0_123,i_0_73,i_0_76,i_0_75,i_0_77,i_0_63]) ).
cnf(i_0_408,plain,
esk15_0 != esk11_2(esk14_0,esk15_0),
inference(scs_inference,[],[i_0_123,i_0_73,i_0_76,i_0_75,i_0_77,i_0_63,i_0_69]) ).
cnf(i_0_410,plain,
meet(esk15_0,esk9_2(esk16_0,esk15_0),esk10_2(esk16_0,esk15_0)),
inference(scs_inference,[],[i_0_80,i_0_123,i_0_73,i_0_76,i_0_75,i_0_77,i_0_63,i_0_69,i_0_49]) ).
cnf(i_0_414,plain,
esk16_0 = sum(esk9_2(esk16_0,esk15_0),esk10_2(esk16_0,esk15_0)),
inference(scs_inference,[],[i_0_80,i_0_123,i_0_73,i_0_76,i_0_75,i_0_77,i_0_63,i_0_69,i_0_49,i_0_51,i_0_54]) ).
cnf(i_0_416,plain,
~ inner_point(esk7_1(esk14_0),esk14_0),
inference(scs_inference,[],[i_0_80,i_0_123,i_0_73,i_0_76,i_0_75,i_0_77,i_0_63,i_0_69,i_0_49,i_0_51,i_0_54,i_0_70]) ).
cnf(i_0_418,plain,
sum(esk9_2(esk16_0,esk15_0),esk10_2(esk16_0,esk15_0)) != esk14_0,
inference(scs_inference,[],[i_0_118,i_0_80,i_0_123,i_0_73,i_0_76,i_0_75,i_0_77,i_0_63,i_0_69,i_0_49,i_0_51,i_0_54,i_0_70,i_0_84]) ).
cnf(i_0_419,plain,
incident_c(esk15_0,sum(esk9_2(esk16_0,esk15_0),esk10_2(esk16_0,esk15_0))),
inference(scs_inference,[],[i_0_118,i_0_110,i_0_80,i_0_123,i_0_73,i_0_76,i_0_75,i_0_77,i_0_63,i_0_69,i_0_49,i_0_51,i_0_54,i_0_70,i_0_84,i_0_97]) ).
cnf(i_0_420,plain,
part_of(sum(esk9_2(esk16_0,esk15_0),esk10_2(esk16_0,esk15_0)),esk14_0),
inference(scs_inference,[],[i_0_118,i_0_110,i_0_81,i_0_80,i_0_123,i_0_73,i_0_76,i_0_75,i_0_77,i_0_63,i_0_69,i_0_49,i_0_51,i_0_54,i_0_70,i_0_84,i_0_97,i_0_98]) ).
cnf(i_0_421,plain,
open(esk16_0),
inference(scs_inference,[],[i_0_118,i_0_110,i_0_81,i_0_80,i_0_123,i_0_73,i_0_76,i_0_75,i_0_77,i_0_63,i_0_69,i_0_49,i_0_51,i_0_54,i_0_70,i_0_84,i_0_97,i_0_98,i_0_74]) ).
cnf(i_0_423,plain,
part_of(esk4_2(esk15_0,esk16_0),esk16_0),
inference(scs_inference,[],[i_0_118,i_0_110,i_0_81,i_0_80,i_0_123,i_0_108,i_0_73,i_0_76,i_0_75,i_0_77,i_0_63,i_0_69,i_0_49,i_0_51,i_0_54,i_0_70,i_0_84,i_0_97,i_0_98,i_0_74,i_0_57]) ).
cnf(i_0_425,plain,
part_of(esk3_2(esk15_0,esk16_0),esk16_0),
inference(scs_inference,[],[i_0_118,i_0_110,i_0_81,i_0_80,i_0_123,i_0_108,i_0_73,i_0_76,i_0_75,i_0_77,i_0_63,i_0_69,i_0_49,i_0_51,i_0_54,i_0_70,i_0_84,i_0_97,i_0_98,i_0_74,i_0_57,i_0_58]) ).
cnf(i_0_427,plain,
incident_c(esk15_0,esk4_2(esk15_0,esk16_0)),
inference(scs_inference,[],[i_0_118,i_0_110,i_0_81,i_0_80,i_0_123,i_0_108,i_0_73,i_0_76,i_0_75,i_0_77,i_0_63,i_0_69,i_0_49,i_0_51,i_0_54,i_0_70,i_0_84,i_0_97,i_0_98,i_0_74,i_0_57,i_0_58,i_0_59]) ).
cnf(i_0_429,plain,
incident_c(esk15_0,esk3_2(esk15_0,esk16_0)),
inference(scs_inference,[],[i_0_118,i_0_110,i_0_81,i_0_80,i_0_123,i_0_108,i_0_73,i_0_76,i_0_75,i_0_77,i_0_63,i_0_69,i_0_49,i_0_51,i_0_54,i_0_70,i_0_84,i_0_97,i_0_98,i_0_74,i_0_57,i_0_58,i_0_59,i_0_60]) ).
cnf(i_0_431,plain,
~ part_of(esk4_2(esk15_0,esk16_0),esk3_2(esk15_0,esk16_0)),
inference(scs_inference,[],[i_0_118,i_0_110,i_0_81,i_0_80,i_0_123,i_0_108,i_0_73,i_0_76,i_0_75,i_0_77,i_0_63,i_0_69,i_0_49,i_0_51,i_0_54,i_0_70,i_0_84,i_0_97,i_0_98,i_0_74,i_0_57,i_0_58,i_0_59,i_0_60,i_0_47]) ).
cnf(i_0_433,plain,
~ part_of(esk3_2(esk15_0,esk16_0),esk4_2(esk15_0,esk16_0)),
inference(scs_inference,[],[i_0_118,i_0_110,i_0_81,i_0_80,i_0_123,i_0_108,i_0_73,i_0_76,i_0_75,i_0_77,i_0_63,i_0_69,i_0_49,i_0_51,i_0_54,i_0_70,i_0_84,i_0_97,i_0_98,i_0_74,i_0_57,i_0_58,i_0_59,i_0_60,i_0_47,i_0_48]) ).
cnf(i_0_435,plain,
inner_point(esk15_0,sum(esk9_2(esk16_0,esk15_0),esk10_2(esk16_0,esk15_0))),
inference(scs_inference,[],[i_0_118,i_0_110,i_0_81,i_0_80,i_0_123,i_0_108,i_0_73,i_0_76,i_0_75,i_0_77,i_0_63,i_0_69,i_0_49,i_0_51,i_0_54,i_0_70,i_0_84,i_0_97,i_0_98,i_0_74,i_0_57,i_0_58,i_0_59,i_0_60,i_0_47,i_0_48,i_0_102]) ).
cnf(i_0_1070,plain,
incident_c(esk8_1(X1),sum(X1,X2)),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_1321,plain,
incident_c(esk8_1(X1),sum(X2,X1)),
inference(rename_variables,[],[i_0_146]) ).
cnf(i_0_1619,plain,
incident_c(esk8_1(X1),sum(X1,X2)),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_143,plain,
~ inner_point(esk15_0,esk14_0),
inference(equality_inference,[],[140]) ).
cnf(i_0_191,plain,
incident_c(esk15_0,sum(sum(esk14_0,X1),X2)),
inference(scs_inference,[],[i_0_134,i_0_106]) ).
cnf(i_0_193,plain,
incident_c(esk15_0,sum(X1,sum(esk14_0,X2))),
inference(scs_inference,[],[i_0_134,i_0_106,i_0_107]) ).
cnf(i_0_199,plain,
incident_c(esk15_0,sum(sum(X1,esk14_0),X2)),
inference(scs_inference,[],[i_0_136,i_0_106]) ).
cnf(i_0_201,plain,
incident_c(esk15_0,sum(X1,sum(X2,esk14_0))),
inference(scs_inference,[],[i_0_136,i_0_106,i_0_107]) ).
cnf(i_0_207,plain,
incident_c(esk8_1(esk16_0),sum(esk14_0,X1)),
inference(scs_inference,[],[i_0_138,i_0_106]) ).
cnf(i_0_209,plain,
incident_c(esk8_1(esk16_0),sum(X1,esk14_0)),
inference(scs_inference,[],[i_0_138,i_0_106,i_0_107]) ).
cnf(i_0_384,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_390,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_437,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_439,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_441,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_489,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_492,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_497,plain,
end_point(esk7_1(esk16_0),esk16_0),
inference(scs_inference,[],[i_0_421,i_0_75]) ).
cnf(i_0_499,plain,
~ incident_c(esk1_2(esk4_2(esk15_0,esk16_0),esk3_2(esk15_0,esk16_0)),esk4_2(esk15_0,esk16_0)),
inference(scs_inference,[],[i_0_421,i_0_433,i_0_75,i_0_56]) ).
cnf(i_0_501,plain,
end_point(esk11_2(esk14_0,esk7_1(esk14_0)),esk14_0),
inference(scs_inference,[],[i_0_421,i_0_433,i_0_402,i_0_75,i_0_56,i_0_63]) ).
cnf(i_0_503,plain,
incident_c(esk1_2(esk4_2(esk15_0,esk16_0),esk3_2(esk15_0,esk16_0)),esk3_2(esk15_0,esk16_0)),
inference(scs_inference,[],[i_0_421,i_0_433,i_0_402,i_0_75,i_0_56,i_0_63,i_0_67]) ).
cnf(i_0_505,plain,
esk7_1(esk14_0) != esk11_2(esk14_0,esk7_1(esk14_0)),
inference(scs_inference,[],[i_0_421,i_0_433,i_0_402,i_0_75,i_0_56,i_0_63,i_0_67,i_0_69]) ).
cnf(i_0_507,plain,
meet(esk8_1(X1),esk9_2(X1,esk8_1(X1)),esk10_2(X1,esk8_1(X1))),
inference(scs_inference,[],[i_0_421,i_0_433,i_0_402,i_0_78,i_0_75,i_0_56,i_0_63,i_0_67,i_0_69,i_0_49]) ).
cnf(i_0_547,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_550,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_557,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_638,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_647,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_705,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_710,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_749,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_752,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_849,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_865,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_890,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_917,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_944,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_988,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1015,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1018,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1028,plain,
esk11_2(esk14_0,esk15_0) != esk11_2(esk14_0,esk11_2(esk14_0,esk15_0)),
inference(scs_inference,[],[i_0_406,i_0_69]) ).
cnf(i_0_1046,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1053,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1056,plain,
esk6_1(esk14_0) != esk11_2(esk14_0,esk6_1(esk14_0)),
inference(scs_inference,[],[i_0_404,i_0_69]) ).
cnf(i_0_1074,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1077,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1088,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1106,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1111,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1157,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1191,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1194,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1197,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1207,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1226,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1229,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1232,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1256,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1259,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1264,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1291,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1300,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1323,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1330,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1344,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1347,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1383,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1386,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1415,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1418,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1421,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1442,plain,
~ meet(X1,X2,X2),
inference(rename_variables,[],[i_0_150]) ).
cnf(c_0_449,plain,
( incident_c(X1,X2)
| incident_c(X1,X3)
| ~ incident_c(X1,X4)
| X4 != sum(X2,X3) ),
i_0_61 ).
cnf(c_0_450,plain,
( incident_c(X1,X2)
| incident_c(X1,X3)
| ~ incident_c(X1,sum(X3,X2)) ),
inference(er,[status(thm)],[c_0_449]) ).
cnf(c_0_451,plain,
incident_c(esk15_0,sum(X1,sum(X2,esk14_0))),
i_0_201 ).
cnf(c_0_452,plain,
( incident_c(esk15_0,sum(X1,esk14_0))
| incident_c(esk15_0,X2) ),
inference(spm,[status(thm)],[c_0_450,c_0_451]) ).
cnf(c_0_453,plain,
( incident_c(X1,X2)
| ~ part_of(X3,X2)
| ~ incident_c(X1,X3) ),
i_0_66 ).
cnf(c_0_454,negated_conjecture,
part_of(esk16_0,esk14_0),
i_0_81 ).
cnf(c_0_455,plain,
part_of(esk3_2(esk15_0,esk16_0),esk16_0),
i_0_425 ).
cnf(c_0_456,plain,
incident_c(esk15_0,sum(X1,esk14_0)),
inference(ef,[status(thm)],[c_0_452]) ).
cnf(c_0_457,plain,
( part_of(X1,X2)
| ~ incident_c(esk1_2(X2,X1),X2) ),
i_0_56 ).
cnf(c_0_458,negated_conjecture,
( incident_c(X1,esk14_0)
| ~ incident_c(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_453,c_0_454]) ).
cnf(c_0_459,plain,
( incident_c(X1,esk16_0)
| ~ incident_c(X1,esk3_2(esk15_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_453,c_0_455]) ).
cnf(c_0_460,plain,
( incident_c(esk1_2(X1,X2),X2)
| part_of(X2,X1) ),
i_0_67 ).
cnf(c_0_461,negated_conjecture,
~ inner_point(esk15_0,esk14_0),
i_0_79 ).
cnf(c_0_462,plain,
( end_point(X1,X2)
| inner_point(X1,X2)
| ~ incident_c(X1,X2) ),
i_0_68 ).
cnf(c_0_463,plain,
( incident_c(esk15_0,esk14_0)
| incident_c(esk15_0,X1) ),
inference(spm,[status(thm)],[c_0_450,c_0_456]) ).
cnf(c_0_464,plain,
part_of(esk4_2(esk15_0,esk16_0),esk16_0),
i_0_423 ).
cnf(c_0_465,plain,
( part_of(X1,X2)
| part_of(X2,X1)
| ~ part_of(X1,X3)
| ~ part_of(X2,X3)
| ~ incident_c(X4,X1)
| ~ incident_c(X4,X2)
| ~ end_point(X4,X3) ),
i_0_46 ).
cnf(c_0_466,plain,
incident_c(esk15_0,esk3_2(esk15_0,esk16_0)),
i_0_429 ).
cnf(c_0_467,plain,
( part_of(X1,esk14_0)
| ~ incident_c(esk1_2(esk14_0,X1),esk16_0) ),
inference(spm,[status(thm)],[c_0_457,c_0_458]) ).
cnf(c_0_468,plain,
( part_of(esk3_2(esk15_0,esk16_0),X1)
| incident_c(esk1_2(X1,esk3_2(esk15_0,esk16_0)),esk16_0) ),
inference(spm,[status(thm)],[c_0_459,c_0_460]) ).
cnf(c_0_469,negated_conjecture,
( end_point(esk15_0,esk14_0)
| ~ incident_c(esk15_0,esk14_0) ),
inference(spm,[status(thm)],[c_0_461,c_0_462]) ).
cnf(c_0_470,plain,
incident_c(esk15_0,esk14_0),
inference(ef,[status(thm)],[c_0_463]) ).
cnf(c_0_471,plain,
( incident_c(X1,esk16_0)
| ~ incident_c(X1,esk4_2(esk15_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_453,c_0_464]) ).
cnf(c_0_472,plain,
( part_of(X1,esk3_2(esk15_0,esk16_0))
| part_of(esk3_2(esk15_0,esk16_0),X1)
| ~ part_of(esk3_2(esk15_0,esk16_0),X2)
| ~ part_of(X1,X2)
| ~ incident_c(esk15_0,X1)
| ~ end_point(esk15_0,X2) ),
inference(spm,[status(thm)],[c_0_465,c_0_466]) ).
cnf(c_0_473,plain,
part_of(esk3_2(esk15_0,esk16_0),esk14_0),
inference(spm,[status(thm)],[c_0_467,c_0_468]) ).
cnf(c_0_474,negated_conjecture,
end_point(esk15_0,esk14_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_469,c_0_470])]) ).
cnf(c_0_475,plain,
( part_of(esk4_2(esk15_0,esk16_0),X1)
| incident_c(esk1_2(X1,esk4_2(esk15_0,esk16_0)),esk16_0) ),
inference(spm,[status(thm)],[c_0_471,c_0_460]) ).
cnf(c_0_476,plain,
( part_of(esk3_2(esk15_0,esk16_0),X1)
| part_of(X1,esk3_2(esk15_0,esk16_0))
| ~ part_of(X1,esk14_0)
| ~ incident_c(esk15_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_473]),c_0_474])]) ).
cnf(c_0_477,plain,
incident_c(esk15_0,esk4_2(esk15_0,esk16_0)),
i_0_427 ).
cnf(c_0_478,plain,
part_of(esk4_2(esk15_0,esk16_0),esk14_0),
inference(spm,[status(thm)],[c_0_467,c_0_475]) ).
cnf(c_0_479,plain,
~ part_of(esk3_2(esk15_0,esk16_0),esk4_2(esk15_0,esk16_0)),
i_0_433 ).
cnf(c_0_480,plain,
~ part_of(esk4_2(esk15_0,esk16_0),esk3_2(esk15_0,esk16_0)),
i_0_431 ).
cnf(c_0_481,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_477]),c_0_478])]),c_0_479]),c_0_480]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO089+1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n008.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 17:40:43 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 92.13/69.29 % Version : CSE_E---1.7
% 92.13/69.29 % Problem : theBenchmark.p
% 92.13/69.29 % SZS status Theorem for theBenchmark.p
% 92.13/69.29 % SZS output start CNFRefutation
% See solution above
% 95.83/72.95 % Total time : 68.866s
%------------------------------------------------------------------------------