TSTP Solution File: GEO213+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO213+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 22:47:08 EDT 2023
% Result : Theorem 0.20s 0.61s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of formulae : 54 ( 14 unt; 12 typ; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 99 ( 33 ~; 52 |; 8 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 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 : 68 ( 0 sgn; 40 !; 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,
! [X6,X7,X8] :
( unorthogonal_lines(X6,X7)
=> ( distinct_lines(X6,X8)
| unorthogonal_lines(X7,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(occu1,axiom,
! [X6,X7] :
( convergent_lines(X6,X7)
| unorthogonal_lines(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',occu1) ).
fof(ceq3,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( distinct_lines(X2,X3)
| convergent_lines(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq3) ).
fof(oac1,axiom,
! [X6,X7,X8] :
( ( convergent_lines(X6,X7)
& unorthogonal_lines(X6,X7) )
=> ( ( convergent_lines(X6,X8)
& unorthogonal_lines(X6,X8) )
| ( convergent_lines(X7,X8)
& unorthogonal_lines(X7,X8) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',oac1) ).
fof(apart2,axiom,
! [X1] : ~ distinct_lines(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart2) ).
fof(apart5,axiom,
! [X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X1,X3)
| distinct_lines(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart5) ).
fof(ax6,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ax6) ).
fof(apart3,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
fof(c_0_8,negated_conjecture,
~ ! [X6,X7,X8] :
( unorthogonal_lines(X6,X7)
=> ( distinct_lines(X6,X8)
| unorthogonal_lines(X7,X8) ) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_9,negated_conjecture,
( unorthogonal_lines(esk1_0,esk2_0)
& ~ distinct_lines(esk1_0,esk3_0)
& ~ unorthogonal_lines(esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_10,plain,
! [X50,X51] :
( convergent_lines(X50,X51)
| unorthogonal_lines(X50,X51) ),
inference(variable_rename,[status(thm)],[occu1]) ).
fof(c_0_11,plain,
! [X40,X41,X42] :
( ~ convergent_lines(X40,X41)
| distinct_lines(X41,X42)
| convergent_lines(X40,X42) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq3])]) ).
cnf(c_0_12,negated_conjecture,
~ unorthogonal_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,plain,
! [X52,X53,X54] :
( ( convergent_lines(X53,X54)
| convergent_lines(X52,X54)
| ~ convergent_lines(X52,X53)
| ~ unorthogonal_lines(X52,X53) )
& ( unorthogonal_lines(X53,X54)
| convergent_lines(X52,X54)
| ~ convergent_lines(X52,X53)
| ~ unorthogonal_lines(X52,X53) )
& ( convergent_lines(X53,X54)
| unorthogonal_lines(X52,X54)
| ~ convergent_lines(X52,X53)
| ~ unorthogonal_lines(X52,X53) )
& ( unorthogonal_lines(X53,X54)
| unorthogonal_lines(X52,X54)
| ~ convergent_lines(X52,X53)
| ~ unorthogonal_lines(X52,X53) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oac1])])]) ).
fof(c_0_15,plain,
! [X1] : ~ distinct_lines(X1,X1),
inference(fof_simplification,[status(thm)],[apart2]) ).
fof(c_0_16,plain,
! [X16,X17,X18] :
( ~ distinct_lines(X16,X17)
| distinct_lines(X16,X18)
| distinct_lines(X17,X18) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apart5])]) ).
cnf(c_0_17,plain,
( distinct_lines(X2,X3)
| convergent_lines(X1,X3)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
convergent_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1)
| ~ unorthogonal_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
unorthogonal_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_21,plain,
! [X11] : ~ distinct_lines(X11,X11),
inference(variable_rename,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( distinct_lines(X1,X3)
| distinct_lines(X2,X3)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
( convergent_lines(esk2_0,X1)
| distinct_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( unorthogonal_lines(esk2_0,X1)
| convergent_lines(esk1_0,X1)
| ~ convergent_lines(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
~ distinct_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( convergent_lines(esk2_0,X1)
| distinct_lines(esk3_0,X2)
| distinct_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
( convergent_lines(esk1_0,esk3_0)
| ~ convergent_lines(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_24]) ).
fof(c_0_28,plain,
! [X19,X20,X21] :
( ~ convergent_lines(X19,X20)
| convergent_lines(X19,X21)
| convergent_lines(X20,X21) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])]) ).
cnf(c_0_29,negated_conjecture,
~ distinct_lines(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_30,negated_conjecture,
( convergent_lines(esk2_0,X1)
| distinct_lines(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_31,plain,
! [X1] : ~ convergent_lines(X1,X1),
inference(fof_simplification,[status(thm)],[apart3]) ).
cnf(c_0_32,negated_conjecture,
( convergent_lines(esk1_0,X1)
| distinct_lines(esk3_0,X1)
| ~ convergent_lines(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_27]) ).
cnf(c_0_33,plain,
( convergent_lines(X1,X3)
| convergent_lines(X2,X3)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
convergent_lines(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_35,plain,
! [X12] : ~ convergent_lines(X12,X12),
inference(variable_rename,[status(thm)],[c_0_31]) ).
cnf(c_0_36,negated_conjecture,
( convergent_lines(esk1_0,X1)
| distinct_lines(esk3_0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
( convergent_lines(esk2_0,X1)
| convergent_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( convergent_lines(esk1_0,X1)
| distinct_lines(esk3_0,X2)
| distinct_lines(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_40,negated_conjecture,
( convergent_lines(esk1_0,X1)
| distinct_lines(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_39]) ).
cnf(c_0_41,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_40]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO213+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 20:27:14 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.61 % Version : CSE_E---1.5
% 0.20/0.61 % Problem : theBenchmark.p
% 0.20/0.61 % Proof found
% 0.20/0.61 % SZS status Theorem for theBenchmark.p
% 0.20/0.61 % SZS output start Proof
% See solution above
% 0.54/0.61 % Total time : 0.011000 s
% 0.54/0.61 % SZS output end Proof
% 0.54/0.61 % Total time : 0.014000 s
%------------------------------------------------------------------------------