TSTP Solution File: GEO221+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO221+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 : n011.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 22:47:13 EDT 2023
% Result : Theorem 0.19s 0.62s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 44 ( 16 unt; 12 typ; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 55 ( 23 ~; 27 |; 1 &)
% ( 0 <=>; 4 =>; 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 : 57 ( 2 sgn; 35 !; 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,X10,X6] :
( ~ apart_point_and_line(X10,orthogonal_through_point(X6,X9))
=> ~ distinct_lines(orthogonal_through_point(X6,X9),orthogonal_through_point(X6,X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(apart5,axiom,
! [X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X1,X3)
| distinct_lines(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart5) ).
fof(apart2,axiom,
! [X1] : ~ distinct_lines(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart2) ).
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_6,negated_conjecture,
~ ! [X9,X10,X6] :
( ~ apart_point_and_line(X10,orthogonal_through_point(X6,X9))
=> ~ distinct_lines(orthogonal_through_point(X6,X9),orthogonal_through_point(X6,X10)) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).
fof(c_0_7,plain,
! [X17,X18,X19] :
( ~ distinct_lines(X17,X18)
| distinct_lines(X17,X19)
| distinct_lines(X18,X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apart5])]) ).
fof(c_0_8,negated_conjecture,
( ~ apart_point_and_line(esk2_0,orthogonal_through_point(esk3_0,esk1_0))
& distinct_lines(orthogonal_through_point(esk3_0,esk1_0),orthogonal_through_point(esk3_0,esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_9,plain,
! [X1] : ~ distinct_lines(X1,X1),
inference(fof_simplification,[status(thm)],[apart2]) ).
cnf(c_0_10,plain,
( distinct_lines(X1,X3)
| distinct_lines(X2,X3)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
distinct_lines(orthogonal_through_point(esk3_0,esk1_0),orthogonal_through_point(esk3_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,plain,
! [X12] : ~ distinct_lines(X12,X12),
inference(variable_rename,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( distinct_lines(orthogonal_through_point(esk3_0,esk1_0),X1)
| distinct_lines(orthogonal_through_point(esk3_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
~ distinct_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( distinct_lines(orthogonal_through_point(esk3_0,esk1_0),X1)
| distinct_lines(orthogonal_through_point(esk3_0,esk2_0),X2)
| distinct_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( distinct_lines(X1,orthogonal_through_point(esk3_0,esk2_0))
| distinct_lines(orthogonal_through_point(esk3_0,esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,negated_conjecture,
( distinct_lines(X1,orthogonal_through_point(esk3_0,esk2_0))
| distinct_lines(orthogonal_through_point(esk3_0,esk1_0),X2)
| distinct_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_16]) ).
fof(c_0_18,plain,
! [X9,X6] : ~ unorthogonal_lines(orthogonal_through_point(X6,X9),X6),
inference(fof_simplification,[status(thm)],[ooc1]) ).
fof(c_0_19,plain,
! [X60,X61,X62,X63] :
( ~ distinct_lines(X61,X62)
| apart_point_and_line(X60,X61)
| apart_point_and_line(X60,X62)
| unorthogonal_lines(X61,X63)
| unorthogonal_lines(X62,X63) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ouo1])]) ).
cnf(c_0_20,negated_conjecture,
( distinct_lines(X1,orthogonal_through_point(esk3_0,esk1_0))
| distinct_lines(X1,orthogonal_through_point(esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_17]) ).
fof(c_0_21,plain,
! [X9,X6] : ~ apart_point_and_line(X9,orthogonal_through_point(X6,X9)),
inference(fof_simplification,[status(thm)],[ooc2]) ).
fof(c_0_22,plain,
! [X56,X57] : ~ unorthogonal_lines(orthogonal_through_point(X57,X56),X57),
inference(variable_rename,[status(thm)],[c_0_18]) ).
cnf(c_0_23,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_19]) ).
cnf(c_0_24,negated_conjecture,
distinct_lines(orthogonal_through_point(esk3_0,esk2_0),orthogonal_through_point(esk3_0,esk1_0)),
inference(spm,[status(thm)],[c_0_14,c_0_20]) ).
fof(c_0_25,plain,
! [X58,X59] : ~ apart_point_and_line(X58,orthogonal_through_point(X59,X58)),
inference(variable_rename,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( unorthogonal_lines(orthogonal_through_point(esk3_0,esk2_0),X1)
| unorthogonal_lines(orthogonal_through_point(esk3_0,esk1_0),X1)
| apart_point_and_line(X2,orthogonal_through_point(esk3_0,esk2_0))
| apart_point_and_line(X2,orthogonal_through_point(esk3_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
~ apart_point_and_line(X1,orthogonal_through_point(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( apart_point_and_line(X1,orthogonal_through_point(esk3_0,esk1_0))
| apart_point_and_line(X1,orthogonal_through_point(esk3_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_26]) ).
cnf(c_0_30,negated_conjecture,
~ apart_point_and_line(esk2_0,orthogonal_through_point(esk3_0,esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO221+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n011.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 19:06:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.62 % Version : CSE_E---1.5
% 0.19/0.62 % Problem : theBenchmark.p
% 0.19/0.62 % Proof found
% 0.19/0.62 % SZS status Theorem for theBenchmark.p
% 0.19/0.62 % SZS output start Proof
% See solution above
% 0.19/0.63 % Total time : 0.054000 s
% 0.19/0.63 % SZS output end Proof
% 0.19/0.63 % Total time : 0.057000 s
%------------------------------------------------------------------------------