TSTP Solution File: GEO227+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO227+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n010.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 22:47:17 EDT 2023
% Result : Theorem 0.19s 0.58s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 20
% Syntax : Number of formulae : 30 ( 5 unt; 18 typ; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 36 ( 16 ~; 9 |; 8 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 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 : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn; 8 !; 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 ).
fof(con,conjecture,
! [X2,X3] :
( ( line(X2)
& line(X3) )
=> ~ ( ~ unequally_directed_lines(X2,X3)
& ~ unequally_directed_lines(X2,reverse_line(X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(oag8,axiom,
! [X2,X3] :
( ( line(X2)
& line(X3) )
=> ( unequally_directed_lines(X2,X3)
| unequally_directed_lines(X2,reverse_line(X3)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag8) ).
fof(c_0_2,negated_conjecture,
~ ! [X2,X3] :
( ( line(X2)
& line(X3) )
=> ~ ( ~ unequally_directed_lines(X2,X3)
& ~ unequally_directed_lines(X2,reverse_line(X3)) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).
fof(c_0_3,plain,
! [X36,X37] :
( ~ line(X36)
| ~ line(X37)
| unequally_directed_lines(X36,X37)
| unequally_directed_lines(X36,reverse_line(X37)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag8])]) ).
fof(c_0_4,negated_conjecture,
( line(esk1_0)
& line(esk2_0)
& ~ unequally_directed_lines(esk1_0,esk2_0)
& ~ unequally_directed_lines(esk1_0,reverse_line(esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
cnf(c_0_5,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X1,reverse_line(X2))
| ~ line(X1)
| ~ line(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
line(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( unequally_directed_lines(esk1_0,reverse_line(X1))
| unequally_directed_lines(esk1_0,X1)
| ~ line(X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,negated_conjecture,
line(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
~ unequally_directed_lines(esk1_0,reverse_line(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
~ unequally_directed_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO227+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n010.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 : Wed Aug 30 00:00:03 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.58 % Version : CSE_E---1.5
% 0.19/0.58 % Problem : theBenchmark.p
% 0.19/0.58 % Proof found
% 0.19/0.58 % SZS status Theorem for theBenchmark.p
% 0.19/0.58 % SZS output start Proof
% See solution above
% 0.19/0.58 % Total time : 0.012000 s
% 0.19/0.58 % SZS output end Proof
% 0.19/0.58 % Total time : 0.015000 s
%------------------------------------------------------------------------------