TSTP Solution File: GEO210+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO210+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 22:47:06 EDT 2023
% Result : Theorem 0.12s 0.46s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of formulae : 32 ( 12 unt; 12 typ; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 43 ( 21 ~; 15 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 9 >; 9 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 2 sgn; 26 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
distinct_points: ( $i * $i ) > $o ).
tff(decl_23,type,
distinct_lines: ( $i * $i ) > $o ).
tff(decl_24,type,
convergent_lines: ( $i * $i ) > $o ).
tff(decl_25,type,
line_connecting: ( $i * $i ) > $i ).
tff(decl_26,type,
apart_point_and_line: ( $i * $i ) > $o ).
tff(decl_27,type,
intersection_point: ( $i * $i ) > $i ).
tff(decl_28,type,
parallel_through_point: ( $i * $i ) > $i ).
tff(decl_29,type,
unorthogonal_lines: ( $i * $i ) > $o ).
tff(decl_30,type,
orthogonal_through_point: ( $i * $i ) > $i ).
tff(decl_31,type,
esk1_0: $i ).
tff(decl_32,type,
esk2_0: $i ).
tff(decl_33,type,
esk3_0: $i ).
fof(con,conjecture,
! [X9,X6,X7] :
( ( ~ apart_point_and_line(X9,X6)
& ~ unorthogonal_lines(X6,X7) )
=> ~ distinct_lines(X6,orthogonal_through_point(X7,X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(ooc1,axiom,
! [X9,X6] : ~ unorthogonal_lines(orthogonal_through_point(X6,X9),X6),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ooc1) ).
fof(ouo1,axiom,
! [X9,X6,X7,X8] :
( distinct_lines(X6,X7)
=> ( apart_point_and_line(X9,X6)
| apart_point_and_line(X9,X7)
| unorthogonal_lines(X6,X8)
| unorthogonal_lines(X7,X8) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ouo1) ).
fof(ooc2,axiom,
! [X9,X6] : ~ apart_point_and_line(X9,orthogonal_through_point(X6,X9)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ooc2) ).
fof(c_0_4,negated_conjecture,
~ ! [X9,X6,X7] :
( ( ~ apart_point_and_line(X9,X6)
& ~ unorthogonal_lines(X6,X7) )
=> ~ distinct_lines(X6,orthogonal_through_point(X7,X9)) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).
fof(c_0_5,plain,
! [X9,X6] : ~ unorthogonal_lines(orthogonal_through_point(X6,X9),X6),
inference(fof_simplification,[status(thm)],[ooc1]) ).
fof(c_0_6,plain,
! [X59,X60,X61,X62] :
( ~ distinct_lines(X60,X61)
| apart_point_and_line(X59,X60)
| apart_point_and_line(X59,X61)
| unorthogonal_lines(X60,X62)
| unorthogonal_lines(X61,X62) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ouo1])]) ).
fof(c_0_7,negated_conjecture,
( ~ apart_point_and_line(esk1_0,esk2_0)
& ~ unorthogonal_lines(esk2_0,esk3_0)
& distinct_lines(esk2_0,orthogonal_through_point(esk3_0,esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_8,plain,
! [X9,X6] : ~ apart_point_and_line(X9,orthogonal_through_point(X6,X9)),
inference(fof_simplification,[status(thm)],[ooc2]) ).
fof(c_0_9,plain,
! [X55,X56] : ~ unorthogonal_lines(orthogonal_through_point(X56,X55),X56),
inference(variable_rename,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X2)
| unorthogonal_lines(X1,X4)
| unorthogonal_lines(X2,X4)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
distinct_lines(esk2_0,orthogonal_through_point(esk3_0,esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_12,plain,
! [X57,X58] : ~ apart_point_and_line(X57,orthogonal_through_point(X58,X57)),
inference(variable_rename,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( unorthogonal_lines(orthogonal_through_point(esk3_0,esk1_0),X1)
| unorthogonal_lines(esk2_0,X1)
| apart_point_and_line(X2,orthogonal_through_point(esk3_0,esk1_0))
| apart_point_and_line(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
~ unorthogonal_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
~ apart_point_and_line(X1,orthogonal_through_point(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
( apart_point_and_line(X1,orthogonal_through_point(esk3_0,esk1_0))
| apart_point_and_line(X1,esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_18,negated_conjecture,
~ apart_point_and_line(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : GEO210+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Tue Aug 29 21:46:31 EDT 2023
% 0.08/0.28 % CPUTime :
% 0.12/0.44 start to proof: theBenchmark
% 0.12/0.46 % Version : CSE_E---1.5
% 0.12/0.46 % Problem : theBenchmark.p
% 0.12/0.46 % Proof found
% 0.12/0.46 % SZS status Theorem for theBenchmark.p
% 0.12/0.46 % SZS output start Proof
% See solution above
% 0.12/0.46 % Total time : 0.007000 s
% 0.12/0.46 % SZS output end Proof
% 0.12/0.46 % Total time : 0.010000 s
%------------------------------------------------------------------------------