TSTP Solution File: GEO258+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO258+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n028.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 22:47:32 EDT 2023
% Result : Theorem 0.18s 0.58s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 28
% Syntax : Number of formulae : 49 ( 6 unt; 26 typ; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 69 ( 27 ~; 31 |; 8 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 22 >; 23 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 40 ( 2 sgn; 16 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
unequally_directed_opposite_lines: ( $i * $i ) > $o ).
tff(decl_23,type,
reverse_line: $i > $i ).
tff(decl_24,type,
unequally_directed_lines: ( $i * $i ) > $o ).
tff(decl_25,type,
right_apart_point: ( $i * $i ) > $o ).
tff(decl_26,type,
left_apart_point: ( $i * $i ) > $o ).
tff(decl_27,type,
right_convergent_lines: ( $i * $i ) > $o ).
tff(decl_28,type,
left_convergent_lines: ( $i * $i ) > $o ).
tff(decl_29,type,
equally_directed_lines: ( $i * $i ) > $o ).
tff(decl_30,type,
equally_directed_opposite_lines: ( $i * $i ) > $o ).
tff(decl_31,type,
apart_point_and_line: ( $i * $i ) > $o ).
tff(decl_32,type,
convergent_lines: ( $i * $i ) > $o ).
tff(decl_33,type,
divides_points: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
before_on_line: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
distinct_points: ( $i * $i ) > $o ).
tff(decl_36,type,
incident_point_and_line: ( $i * $i ) > $o ).
tff(decl_37,type,
line_connecting: ( $i * $i ) > $i ).
tff(decl_38,type,
between_on_line: ( $i * $i * $i * $i ) > $o ).
tff(decl_39,type,
distinct_lines: ( $i * $i ) > $o ).
tff(decl_40,type,
point: $i > $o ).
tff(decl_41,type,
line: $i > $o ).
tff(decl_42,type,
intersection_point: ( $i * $i ) > $i ).
tff(decl_43,type,
parallel_through_point: ( $i * $i ) > $i ).
tff(decl_44,type,
esk1_0: $i ).
tff(decl_45,type,
esk2_0: $i ).
tff(decl_46,type,
esk3_0: $i ).
tff(decl_47,type,
esk4_0: $i ).
fof(con,conjecture,
! [X4,X3,X6,X7] :
( between_on_line(X4,X3,X6,X7)
=> between_on_line(X4,X7,X6,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(a9_defns,axiom,
! [X4,X3,X6,X7] :
( between_on_line(X4,X3,X6,X7)
<=> ( ( before_on_line(X4,X3,X6)
& before_on_line(X4,X6,X7) )
| ( before_on_line(X4,X7,X6)
& before_on_line(X4,X6,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a9_defns) ).
fof(c_0_2,negated_conjecture,
~ ! [X4,X3,X6,X7] :
( between_on_line(X4,X3,X6,X7)
=> between_on_line(X4,X7,X6,X3) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_3,negated_conjecture,
( between_on_line(esk1_0,esk2_0,esk3_0,esk4_0)
& ~ between_on_line(esk1_0,esk4_0,esk3_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
fof(c_0_4,plain,
! [X29,X30,X31,X32] :
( ( before_on_line(X29,X32,X31)
| before_on_line(X29,X30,X31)
| ~ between_on_line(X29,X30,X31,X32) )
& ( before_on_line(X29,X31,X30)
| before_on_line(X29,X30,X31)
| ~ between_on_line(X29,X30,X31,X32) )
& ( before_on_line(X29,X32,X31)
| before_on_line(X29,X31,X32)
| ~ between_on_line(X29,X30,X31,X32) )
& ( before_on_line(X29,X31,X30)
| before_on_line(X29,X31,X32)
| ~ between_on_line(X29,X30,X31,X32) )
& ( ~ before_on_line(X29,X30,X31)
| ~ before_on_line(X29,X31,X32)
| between_on_line(X29,X30,X31,X32) )
& ( ~ before_on_line(X29,X32,X31)
| ~ before_on_line(X29,X31,X30)
| between_on_line(X29,X30,X31,X32) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a9_defns])])]) ).
cnf(c_0_5,negated_conjecture,
~ between_on_line(esk1_0,esk4_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( between_on_line(X1,X2,X3,X4)
| ~ before_on_line(X1,X2,X3)
| ~ before_on_line(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( before_on_line(X1,X2,X3)
| before_on_line(X1,X3,X2)
| ~ between_on_line(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
between_on_line(esk1_0,esk2_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,plain,
( before_on_line(X1,X2,X3)
| before_on_line(X1,X4,X3)
| ~ between_on_line(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( between_on_line(X1,X4,X3,X2)
| ~ before_on_line(X1,X2,X3)
| ~ before_on_line(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
( ~ before_on_line(esk1_0,esk3_0,esk2_0)
| ~ before_on_line(esk1_0,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( before_on_line(esk1_0,esk4_0,esk3_0)
| before_on_line(esk1_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( before_on_line(esk1_0,esk4_0,esk3_0)
| before_on_line(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( ~ before_on_line(esk1_0,esk3_0,esk4_0)
| ~ before_on_line(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
( before_on_line(esk1_0,esk3_0,esk4_0)
| ~ before_on_line(esk1_0,esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( before_on_line(esk1_0,esk2_0,esk3_0)
| ~ before_on_line(esk1_0,esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_17,plain,
( before_on_line(X1,X2,X3)
| before_on_line(X1,X3,X2)
| ~ between_on_line(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,negated_conjecture,
~ before_on_line(esk1_0,esk3_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_19,negated_conjecture,
before_on_line(esk1_0,esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_8]),c_0_18]) ).
cnf(c_0_20,plain,
( before_on_line(X1,X2,X3)
| before_on_line(X1,X2,X4)
| ~ between_on_line(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_21,negated_conjecture,
~ before_on_line(esk1_0,esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_19])]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_8]),c_0_21]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO258+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 23:21:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.55 start to proof: theBenchmark
% 0.18/0.58 % Version : CSE_E---1.5
% 0.18/0.58 % Problem : theBenchmark.p
% 0.18/0.58 % Proof found
% 0.18/0.58 % SZS status Theorem for theBenchmark.p
% 0.18/0.58 % SZS output start Proof
% See solution above
% 0.18/0.58 % Total time : 0.018000 s
% 0.18/0.58 % SZS output end Proof
% 0.18/0.58 % Total time : 0.020000 s
%------------------------------------------------------------------------------