TSTP Solution File: GEO112+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO112+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 22:46:10 EDT 2023
% Result : Theorem 60.98s 61.03s
% Output : CNFRefutation 60.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 30
% Syntax : Number of formulae : 55 ( 6 unt; 27 typ; 0 def)
% Number of atoms : 90 ( 9 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 104 ( 42 ~; 45 |; 12 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 48 ( 23 >; 25 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 4 con; 0-4 aty)
% Number of variables : 92 ( 4 sgn; 29 !; 1 ?; 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,
between_c: ( $i * $i * $i * $i ) > $o ).
tff(decl_31,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_32,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_34,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_35,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
esk6_1: $i > $i ).
tff(decl_37,type,
esk7_1: $i > $i ).
tff(decl_38,type,
esk8_1: $i > $i ).
tff(decl_39,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_40,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_41,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_42,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_43,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_44,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
esk15_0: $i ).
tff(decl_46,type,
esk16_0: $i ).
tff(decl_47,type,
esk17_0: $i ).
tff(decl_48,type,
esk18_0: $i ).
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(between_c_defn,axiom,
! [X1,X3,X5,X7] :
( between_c(X1,X3,X5,X7)
<=> ( X3 != X7
& ? [X8] :
( part_of(X8,X1)
& end_point(X3,X8)
& end_point(X7,X8)
& inner_point(X5,X8) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+1.ax',between_c_defn) ).
fof(theorem_3_8_2,conjecture,
! [X1,X3,X5,X7] :
( between_c(X1,X3,X5,X7)
=> between_c(X1,X7,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_2) ).
fof(c_0_3,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_4,plain,
! [X82,X83,X84,X85,X87,X88,X89,X90,X91] :
( ( X83 != X85
| ~ between_c(X82,X83,X84,X85) )
& ( part_of(esk14_4(X82,X83,X84,X85),X82)
| ~ between_c(X82,X83,X84,X85) )
& ( end_point(X83,esk14_4(X82,X83,X84,X85))
| ~ between_c(X82,X83,X84,X85) )
& ( end_point(X85,esk14_4(X82,X83,X84,X85))
| ~ between_c(X82,X83,X84,X85) )
& ( inner_point(X84,esk14_4(X82,X83,X84,X85))
| ~ between_c(X82,X83,X84,X85) )
& ( X88 = X90
| ~ part_of(X91,X87)
| ~ end_point(X88,X91)
| ~ end_point(X90,X91)
| ~ inner_point(X89,X91)
| between_c(X87,X88,X89,X90) ) ),
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)],[between_c_defn])])])])])]) ).
cnf(c_0_5,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( incident_c(esk1_2(X1,X2),X2)
| part_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1,X3,X5,X7] :
( between_c(X1,X3,X5,X7)
=> between_c(X1,X7,X5,X3) ),
inference(assume_negation,[status(cth)],[theorem_3_8_2]) ).
cnf(c_0_8,plain,
( X1 = X2
| between_c(X4,X1,X5,X2)
| ~ part_of(X3,X4)
| ~ end_point(X1,X3)
| ~ end_point(X2,X3)
| ~ inner_point(X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( inner_point(X1,esk14_4(X2,X3,X1,X4))
| ~ between_c(X2,X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( incident_c(esk1_2(X1,X2),X3)
| part_of(X2,X1)
| ~ part_of(X2,X3) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_11,plain,
( part_of(esk14_4(X1,X2,X3,X4),X1)
| ~ between_c(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_12,negated_conjecture,
( between_c(esk15_0,esk16_0,esk17_0,esk18_0)
& ~ between_c(esk15_0,esk18_0,esk17_0,esk16_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
cnf(c_0_13,plain,
( X1 = X2
| between_c(X3,X1,X4,X2)
| ~ between_c(X5,X6,X4,X7)
| ~ end_point(X2,esk14_4(X5,X6,X4,X7))
| ~ end_point(X1,esk14_4(X5,X6,X4,X7))
| ~ part_of(esk14_4(X5,X6,X4,X7),X3) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( end_point(X1,esk14_4(X2,X1,X3,X4))
| ~ between_c(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,plain,
( incident_c(esk1_2(X1,esk14_4(X2,X3,X4,X5)),X2)
| part_of(esk14_4(X2,X3,X4,X5),X1)
| ~ between_c(X2,X3,X4,X5) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
between_c(esk15_0,esk16_0,esk17_0,esk18_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( X1 = X2
| between_c(X3,X1,X4,X2)
| ~ between_c(X5,X2,X4,X6)
| ~ end_point(X1,esk14_4(X5,X2,X4,X6))
| ~ part_of(esk14_4(X5,X2,X4,X6),X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( end_point(X1,esk14_4(X2,X3,X4,X1))
| ~ between_c(X2,X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,plain,
( part_of(X2,X1)
| ~ incident_c(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_20,negated_conjecture,
( incident_c(esk1_2(X1,esk14_4(esk15_0,esk16_0,esk17_0,esk18_0)),esk15_0)
| part_of(esk14_4(esk15_0,esk16_0,esk17_0,esk18_0),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( X1 = X2
| between_c(X3,X1,X4,X2)
| ~ between_c(X5,X2,X4,X1)
| ~ part_of(esk14_4(X5,X2,X4,X1),X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
part_of(esk14_4(esk15_0,esk16_0,esk17_0,esk18_0),esk15_0),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
~ between_c(esk15_0,esk18_0,esk17_0,esk16_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,plain,
( X1 != X2
| ~ between_c(X3,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_25,negated_conjecture,
esk18_0 = esk16_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_16])]),c_0_23]) ).
cnf(c_0_26,plain,
~ between_c(X1,X2,X3,X2),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_25]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO112+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 20:28:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 60.98/61.03 % Version : CSE_E---1.5
% 60.98/61.03 % Problem : theBenchmark.p
% 60.98/61.03 % Proof found
% 60.98/61.03 % SZS status Theorem for theBenchmark.p
% 60.98/61.03 % SZS output start Proof
% See solution above
% 60.98/61.04 % Total time : 60.446000 s
% 60.98/61.04 % SZS output end Proof
% 60.98/61.04 % Total time : 60.453000 s
%------------------------------------------------------------------------------