TSTP Solution File: GEO088+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO088+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n014.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 : Wed Aug 30 22:46:03 EDT 2023
% Result : Theorem 18.22s 18.26s
% Output : CNFRefutation 18.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 32
% Syntax : Number of formulae : 101 ( 13 unt; 24 typ; 0 def)
% Number of atoms : 286 ( 17 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 341 ( 132 ~; 155 |; 41 &)
% ( 7 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 21 >; 19 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-3 aty)
% Number of variables : 172 ( 10 sgn; 59 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
part_of: ( $i * $i ) > $o ).
tff(decl_23,type,
incident_c: ( $i * $i ) > $o ).
tff(decl_24,type,
sum: ( $i * $i ) > $i ).
tff(decl_25,type,
end_point: ( $i * $i ) > $o ).
tff(decl_26,type,
inner_point: ( $i * $i ) > $o ).
tff(decl_27,type,
meet: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
closed: $i > $o ).
tff(decl_29,type,
open: $i > $o ).
tff(decl_30,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_31,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_33,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_34,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
esk6_1: $i > $i ).
tff(decl_36,type,
esk7_1: $i > $i ).
tff(decl_37,type,
esk8_1: $i > $i ).
tff(decl_38,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_39,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_40,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_41,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_42,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_43,type,
esk14_0: $i ).
tff(decl_44,type,
esk15_0: $i ).
tff(decl_45,type,
esk16_0: $i ).
fof(theorem_2_10,conjecture,
! [X1,X8,X3] :
( ( part_of(X8,X1)
& end_point(X3,X1)
& incident_c(X3,X8) )
=> end_point(X3,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_10) ).
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/sandbox2/benchmark/Axioms/GEO004+0.ax',sum_defn) ).
fof(part_of_defn,axiom,
! [X1,X2] :
( part_of(X2,X1)
<=> ! [X3] :
( incident_c(X3,X2)
=> incident_c(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
fof(c4,axiom,
! [X1,X3] :
( inner_point(X3,X1)
=> ? [X2,X4] :
( meet(X3,X2,X4)
& X1 = sum(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',c4) ).
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/sandbox2/benchmark/Axioms/GEO004+0.ax',end_point_defn) ).
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/sandbox2/benchmark/Axioms/GEO004+0.ax',meet_defn) ).
fof(inner_point_defn,axiom,
! [X3,X1] :
( inner_point(X3,X1)
<=> ( incident_c(X3,X1)
& ~ end_point(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',inner_point_defn) ).
fof(c3,axiom,
! [X1] :
? [X3] : inner_point(X3,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',c3) ).
fof(c_0_8,negated_conjecture,
~ ! [X1,X8,X3] :
( ( part_of(X8,X1)
& end_point(X3,X1)
& incident_c(X3,X8) )
=> end_point(X3,X8) ),
inference(assume_negation,[status(cth)],[theorem_2_10]) ).
fof(c_0_9,plain,
! [X15,X16,X17,X18,X19,X20,X21,X22] :
( ( ~ incident_c(X18,X15)
| incident_c(X18,X16)
| incident_c(X18,X17)
| X15 != sum(X16,X17) )
& ( ~ incident_c(X19,X16)
| incident_c(X19,X15)
| X15 != sum(X16,X17) )
& ( ~ incident_c(X19,X17)
| incident_c(X19,X15)
| X15 != sum(X16,X17) )
& ( ~ incident_c(esk2_3(X20,X21,X22),X21)
| ~ incident_c(esk2_3(X20,X21,X22),X20)
| X20 = sum(X21,X22) )
& ( ~ incident_c(esk2_3(X20,X21,X22),X22)
| ~ incident_c(esk2_3(X20,X21,X22),X20)
| X20 = sum(X21,X22) )
& ( incident_c(esk2_3(X20,X21,X22),X20)
| incident_c(esk2_3(X20,X21,X22),X21)
| incident_c(esk2_3(X20,X21,X22),X22)
| X20 = sum(X21,X22) ) ),
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(c_0_10,plain,
! [X9,X10,X11,X12,X13] :
( ( ~ part_of(X10,X9)
| ~ incident_c(X11,X10)
| incident_c(X11,X9) )
& ( incident_c(esk1_2(X12,X13),X13)
| part_of(X13,X12) )
& ( ~ incident_c(esk1_2(X12,X13),X12)
| part_of(X13,X12) ) ),
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(c_0_11,negated_conjecture,
( part_of(esk15_0,esk14_0)
& end_point(esk16_0,esk14_0)
& incident_c(esk16_0,esk15_0)
& ~ end_point(esk16_0,esk15_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
cnf(c_0_12,plain,
( incident_c(X1,X3)
| ~ incident_c(X1,X2)
| X3 != sum(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
part_of(esk15_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( part_of(X2,X1)
| ~ incident_c(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X3) ),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
( incident_c(X1,esk14_0)
| ~ incident_c(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( incident_c(esk1_2(X1,X2),X2)
| part_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,plain,
( part_of(X1,sum(X2,X3))
| ~ incident_c(esk1_2(sum(X2,X3),X1),X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( incident_c(esk1_2(X1,esk15_0),esk14_0)
| part_of(esk15_0,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,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)],[c_0_9]) ).
cnf(c_0_22,negated_conjecture,
part_of(esk15_0,sum(X1,esk14_0)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
( sum(X1,X2) = X1
| incident_c(esk2_3(X1,X1,X2),X2)
| incident_c(esk2_3(X1,X1,X2),X1) ),
inference(ef,[status(thm)],[c_0_21]) ).
fof(c_0_24,plain,
! [X59,X60] :
( ( meet(X60,esk9_2(X59,X60),esk10_2(X59,X60))
| ~ inner_point(X60,X59) )
& ( X59 = sum(esk9_2(X59,X60),esk10_2(X59,X60))
| ~ inner_point(X60,X59) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c4])])])]) ).
fof(c_0_25,plain,
! [X24,X25,X26,X27,X28,X29] :
( ( incident_c(X24,X25)
| ~ end_point(X24,X25) )
& ( ~ part_of(X26,X25)
| ~ part_of(X27,X25)
| ~ incident_c(X24,X26)
| ~ incident_c(X24,X27)
| part_of(X26,X27)
| part_of(X27,X26)
| ~ end_point(X24,X25) )
& ( part_of(esk3_2(X28,X29),X29)
| ~ incident_c(X28,X29)
| end_point(X28,X29) )
& ( part_of(esk4_2(X28,X29),X29)
| ~ incident_c(X28,X29)
| end_point(X28,X29) )
& ( incident_c(X28,esk3_2(X28,X29))
| ~ incident_c(X28,X29)
| end_point(X28,X29) )
& ( incident_c(X28,esk4_2(X28,X29))
| ~ incident_c(X28,X29)
| end_point(X28,X29) )
& ( ~ part_of(esk3_2(X28,X29),esk4_2(X28,X29))
| ~ incident_c(X28,X29)
| end_point(X28,X29) )
& ( ~ part_of(esk4_2(X28,X29),esk3_2(X28,X29))
| ~ incident_c(X28,X29)
| end_point(X28,X29) ) ),
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(c_0_26,plain,
! [X34,X35,X36,X37,X38,X39,X40] :
( ( incident_c(X34,X35)
| ~ meet(X34,X35,X36) )
& ( incident_c(X34,X36)
| ~ meet(X34,X35,X36) )
& ( end_point(X37,X35)
| ~ incident_c(X37,X35)
| ~ incident_c(X37,X36)
| ~ meet(X34,X35,X36) )
& ( end_point(X37,X36)
| ~ incident_c(X37,X35)
| ~ incident_c(X37,X36)
| ~ meet(X34,X35,X36) )
& ( incident_c(esk5_3(X38,X39,X40),X39)
| ~ incident_c(X38,X39)
| ~ incident_c(X38,X40)
| meet(X38,X39,X40) )
& ( incident_c(esk5_3(X38,X39,X40),X40)
| ~ incident_c(X38,X39)
| ~ incident_c(X38,X40)
| meet(X38,X39,X40) )
& ( ~ end_point(esk5_3(X38,X39,X40),X39)
| ~ end_point(esk5_3(X38,X39,X40),X40)
| ~ incident_c(X38,X39)
| ~ incident_c(X38,X40)
| meet(X38,X39,X40) ) ),
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])])])])])]) ).
cnf(c_0_27,negated_conjecture,
( incident_c(X1,sum(X2,esk14_0))
| ~ incident_c(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_22]) ).
cnf(c_0_28,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)],[c_0_9]) ).
cnf(c_0_29,plain,
( sum(X1,X1) = X1
| incident_c(esk2_3(X1,X1,X1),X1) ),
inference(ef,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
( X1 = sum(esk9_2(X1,X2),esk10_2(X1,X2))
| ~ inner_point(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,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)],[c_0_25]) ).
cnf(c_0_32,negated_conjecture,
end_point(esk16_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_33,plain,
( incident_c(X1,X2)
| ~ meet(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
( meet(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,negated_conjecture,
( part_of(X1,sum(X2,esk14_0))
| ~ incident_c(esk1_2(sum(X2,esk14_0),X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_27]) ).
cnf(c_0_36,plain,
sum(X1,X1) = X1,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_29]) ).
cnf(c_0_37,plain,
( incident_c(X1,X2)
| ~ inner_point(X3,X2)
| ~ incident_c(X1,esk10_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_16,c_0_30]) ).
cnf(c_0_38,negated_conjecture,
( part_of(X1,X2)
| part_of(X2,X1)
| ~ incident_c(esk16_0,X1)
| ~ incident_c(esk16_0,X2)
| ~ part_of(X1,esk14_0)
| ~ part_of(X2,esk14_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,plain,
( incident_c(X1,esk10_2(X2,X1))
| ~ inner_point(X1,X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,negated_conjecture,
( part_of(X1,esk14_0)
| ~ incident_c(esk1_2(esk14_0,X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,plain,
( incident_c(esk1_2(X1,esk10_2(X2,X3)),X2)
| part_of(esk10_2(X2,X3),X1)
| ~ inner_point(X3,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_18]) ).
fof(c_0_42,plain,
! [X3,X1] :
( inner_point(X3,X1)
<=> ( incident_c(X3,X1)
& ~ end_point(X3,X1) ) ),
inference(fof_simplification,[status(thm)],[inner_point_defn]) ).
cnf(c_0_43,plain,
( incident_c(X1,X3)
| ~ incident_c(X1,X2)
| X3 != sum(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_44,negated_conjecture,
( part_of(X1,esk10_2(X2,esk16_0))
| part_of(esk10_2(X2,esk16_0),X1)
| ~ inner_point(esk16_0,X2)
| ~ incident_c(esk16_0,X1)
| ~ part_of(esk10_2(X2,esk16_0),esk14_0)
| ~ part_of(X1,esk14_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,negated_conjecture,
( part_of(esk10_2(esk15_0,X1),esk14_0)
| ~ inner_point(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_46,plain,
! [X32,X33] :
( ( incident_c(X32,X33)
| ~ inner_point(X32,X33) )
& ( ~ end_point(X32,X33)
| ~ inner_point(X32,X33) )
& ( ~ incident_c(X32,X33)
| end_point(X32,X33)
| inner_point(X32,X33) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])]) ).
cnf(c_0_47,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X2) ),
inference(er,[status(thm)],[c_0_43]) ).
cnf(c_0_48,negated_conjecture,
( part_of(esk10_2(esk15_0,esk16_0),X1)
| part_of(X1,esk10_2(esk15_0,esk16_0))
| ~ inner_point(esk16_0,esk15_0)
| ~ incident_c(esk16_0,X1)
| ~ part_of(X1,esk14_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,plain,
( end_point(X1,X2)
| inner_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_50,negated_conjecture,
incident_c(esk16_0,esk15_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_51,negated_conjecture,
~ end_point(esk16_0,esk15_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_52,plain,
( incident_c(X1,X2)
| ~ meet(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_53,plain,
( incident_c(X1,X2)
| ~ inner_point(X3,X2)
| ~ incident_c(X1,esk9_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_47,c_0_30]) ).
cnf(c_0_54,negated_conjecture,
( part_of(X1,esk10_2(esk15_0,esk16_0))
| part_of(esk10_2(esk15_0,esk16_0),X1)
| ~ incident_c(esk16_0,X1)
| ~ part_of(X1,esk14_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]),c_0_51]) ).
cnf(c_0_55,plain,
( incident_c(X1,esk9_2(X2,X1))
| ~ inner_point(X1,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_34]) ).
cnf(c_0_56,plain,
( incident_c(esk1_2(X1,esk9_2(X2,X3)),X2)
| part_of(esk9_2(X2,X3),X1)
| ~ inner_point(X3,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_18]) ).
fof(c_0_57,plain,
! [X57] : inner_point(esk8_1(X57),X57),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c3])]) ).
cnf(c_0_58,negated_conjecture,
( part_of(esk10_2(esk15_0,esk16_0),esk9_2(X1,esk16_0))
| part_of(esk9_2(X1,esk16_0),esk10_2(esk15_0,esk16_0))
| ~ inner_point(esk16_0,X1)
| ~ part_of(esk9_2(X1,esk16_0),esk14_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,negated_conjecture,
( part_of(esk9_2(esk15_0,X1),esk14_0)
| ~ inner_point(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_56]) ).
cnf(c_0_60,plain,
( ~ end_point(X1,X2)
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_61,plain,
inner_point(esk8_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_62,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2)
| ~ meet(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_63,plain,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_64,negated_conjecture,
( part_of(esk9_2(esk15_0,esk16_0),esk10_2(esk15_0,esk16_0))
| part_of(esk10_2(esk15_0,esk16_0),esk9_2(esk15_0,esk16_0))
| ~ inner_point(esk16_0,esk15_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,plain,
~ end_point(esk8_1(X1),X1),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,plain,
( end_point(X1,esk10_2(X2,X3))
| ~ inner_point(X3,X2)
| ~ incident_c(X1,esk9_2(X2,X3))
| ~ incident_c(X1,esk10_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_62,c_0_34]) ).
cnf(c_0_67,plain,
incident_c(esk8_1(X1),X1),
inference(spm,[status(thm)],[c_0_63,c_0_61]) ).
cnf(c_0_68,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ incident_c(X1,X3)
| ~ meet(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_69,negated_conjecture,
( incident_c(X1,esk9_2(esk15_0,esk16_0))
| part_of(esk9_2(esk15_0,esk16_0),esk10_2(esk15_0,esk16_0))
| ~ inner_point(esk16_0,esk15_0)
| ~ incident_c(X1,esk10_2(esk15_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_64]) ).
cnf(c_0_70,plain,
( ~ inner_point(X1,X2)
| ~ incident_c(esk8_1(esk10_2(X2,X1)),esk9_2(X2,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).
cnf(c_0_71,plain,
( end_point(X1,esk9_2(X2,X3))
| ~ inner_point(X3,X2)
| ~ incident_c(X1,esk10_2(X2,X3))
| ~ incident_c(X1,esk9_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_68,c_0_34]) ).
cnf(c_0_72,negated_conjecture,
( part_of(esk9_2(esk15_0,esk16_0),esk10_2(esk15_0,esk16_0))
| ~ inner_point(esk16_0,esk15_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_67]),c_0_70]) ).
cnf(c_0_73,plain,
( ~ inner_point(X1,X2)
| ~ incident_c(esk8_1(esk9_2(X2,X1)),esk10_2(X2,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_71]),c_0_67])]) ).
cnf(c_0_74,negated_conjecture,
( incident_c(X1,esk10_2(esk15_0,esk16_0))
| ~ inner_point(esk16_0,esk15_0)
| ~ incident_c(X1,esk9_2(esk15_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_72]) ).
cnf(c_0_75,negated_conjecture,
~ inner_point(esk16_0,esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_67])]) ).
cnf(c_0_76,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_49]),c_0_50])]),c_0_51]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO088+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 23:04:45 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.58 start to proof: theBenchmark
% 18.22/18.26 % Version : CSE_E---1.5
% 18.22/18.26 % Problem : theBenchmark.p
% 18.22/18.26 % Proof found
% 18.22/18.26 % SZS status Theorem for theBenchmark.p
% 18.22/18.26 % SZS output start Proof
% See solution above
% 18.22/18.27 % Total time : 17.679000 s
% 18.22/18.27 % SZS output end Proof
% 18.22/18.27 % Total time : 17.683000 s
%------------------------------------------------------------------------------