TSTP Solution File: GEO258+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO258+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n023.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 0.49s 0.59s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 22
% Syntax : Number of formulae : 45 ( 6 unt; 20 typ; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 69 ( 23 ~; 35 |; 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 : 33 ( 16 >; 17 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 44 ( 2 sgn; 16 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
apart_point_and_line: ( $i * $i ) > $o ).
tff(decl_23,type,
left_apart_point: ( $i * $i ) > $o ).
tff(decl_24,type,
reverse_line: $i > $i ).
tff(decl_25,type,
convergent_lines: ( $i * $i ) > $o ).
tff(decl_26,type,
unequally_directed_lines: ( $i * $i ) > $o ).
tff(decl_27,type,
divides_points: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
before_on_line: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
distinct_points: ( $i * $i ) > $o ).
tff(decl_30,type,
line_connecting: ( $i * $i ) > $i ).
tff(decl_31,type,
between_on_line: ( $i * $i * $i * $i ) > $o ).
tff(decl_32,type,
distinct_lines: ( $i * $i ) > $o ).
tff(decl_33,type,
line: $i > $o ).
tff(decl_34,type,
left_convergent_lines: ( $i * $i ) > $o ).
tff(decl_35,type,
point: $i > $o ).
tff(decl_36,type,
intersection_point: ( $i * $i ) > $i ).
tff(decl_37,type,
parallel_through_point: ( $i * $i ) > $i ).
tff(decl_38,type,
esk1_0: $i ).
tff(decl_39,type,
esk2_0: $i ).
tff(decl_40,type,
esk3_0: $i ).
tff(decl_41,type,
esk4_0: $i ).
fof(con,conjecture,
! [X2,X1,X4,X5] :
( between_on_line(X2,X1,X4,X5)
=> between_on_line(X2,X5,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(bet_def,axiom,
! [X2,X1,X4,X5] :
( between_on_line(X2,X1,X4,X5)
<=> ( ( before_on_line(X2,X1,X4)
& before_on_line(X2,X4,X5) )
| ( before_on_line(X2,X5,X4)
& before_on_line(X2,X4,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',bet_def) ).
fof(c_0_2,negated_conjecture,
~ ! [X2,X1,X4,X5] :
( between_on_line(X2,X1,X4,X5)
=> between_on_line(X2,X5,X4,X1) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_3,plain,
! [X17,X18,X19,X20] :
( ( before_on_line(X17,X20,X19)
| before_on_line(X17,X18,X19)
| ~ between_on_line(X17,X18,X19,X20) )
& ( before_on_line(X17,X19,X18)
| before_on_line(X17,X18,X19)
| ~ between_on_line(X17,X18,X19,X20) )
& ( before_on_line(X17,X20,X19)
| before_on_line(X17,X19,X20)
| ~ between_on_line(X17,X18,X19,X20) )
& ( before_on_line(X17,X19,X18)
| before_on_line(X17,X19,X20)
| ~ between_on_line(X17,X18,X19,X20) )
& ( ~ before_on_line(X17,X18,X19)
| ~ before_on_line(X17,X19,X20)
| between_on_line(X17,X18,X19,X20) )
& ( ~ before_on_line(X17,X20,X19)
| ~ before_on_line(X17,X19,X18)
| between_on_line(X17,X18,X19,X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[bet_def])])]) ).
fof(c_0_4,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])])]) ).
cnf(c_0_5,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_3]) ).
cnf(c_0_6,negated_conjecture,
between_on_line(esk1_0,esk2_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,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_3]) ).
cnf(c_0_8,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_3]) ).
cnf(c_0_9,negated_conjecture,
( before_on_line(esk1_0,esk3_0,esk2_0)
| before_on_line(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,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_3]) ).
cnf(c_0_11,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_3]) ).
cnf(c_0_12,negated_conjecture,
( before_on_line(esk1_0,esk3_0,esk2_0)
| before_on_line(esk1_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( between_on_line(esk1_0,X1,esk3_0,esk2_0)
| before_on_line(esk1_0,esk2_0,esk3_0)
| ~ before_on_line(esk1_0,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,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_10,c_0_6]) ).
cnf(c_0_15,negated_conjecture,
~ between_on_line(esk1_0,esk4_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,negated_conjecture,
( between_on_line(esk1_0,esk4_0,esk3_0,X1)
| before_on_line(esk1_0,esk3_0,esk2_0)
| ~ before_on_line(esk1_0,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
before_on_line(esk1_0,esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_18,negated_conjecture,
before_on_line(esk1_0,esk3_0,esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_15]) ).
cnf(c_0_19,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_3]) ).
cnf(c_0_20,negated_conjecture,
( between_on_line(esk1_0,X1,esk3_0,esk2_0)
| ~ before_on_line(esk1_0,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_18]) ).
cnf(c_0_21,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_19,c_0_6]) ).
cnf(c_0_22,negated_conjecture,
before_on_line(esk1_0,esk3_0,esk4_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_15]) ).
cnf(c_0_23,negated_conjecture,
( between_on_line(esk1_0,esk4_0,esk3_0,X1)
| ~ before_on_line(esk1_0,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_17]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO258+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 22:11:09 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.49/0.57 start to proof: theBenchmark
% 0.49/0.59 % Version : CSE_E---1.5
% 0.49/0.59 % Problem : theBenchmark.p
% 0.49/0.59 % Proof found
% 0.49/0.59 % SZS status Theorem for theBenchmark.p
% 0.49/0.59 % SZS output start Proof
% See solution above
% 0.49/0.59 % Total time : 0.013000 s
% 0.49/0.59 % SZS output end Proof
% 0.49/0.59 % Total time : 0.016000 s
%------------------------------------------------------------------------------