TSTP Solution File: GEO260+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO260+1 : TPTP v8.1.2. Bugfixed v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n001.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 22:47:33 EDT 2023
% Result : Theorem 0.19s 0.69s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 30
% Syntax : Number of formulae : 66 ( 14 unt; 22 typ; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 100 ( 36 ~; 42 |; 16 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 16 >; 17 *; 0 +; 0 <<)
% Number of predicates : 15 ( 14 usr; 3 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 75 ( 2 sgn; 37 !; 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 ).
tff(decl_42,type,
epred1_0: $o ).
tff(decl_43,type,
epred2_0: $o ).
fof(oag5,axiom,
! [X2] : ~ unequally_directed_lines(X2,X2),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag5) ).
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(oagco4,axiom,
! [X2] :
( line(X2)
=> line(reverse_line(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oagco4) ).
fof(con,conjecture,
! [X2,X1,X4,X5] :
( ( line(X2)
& distinct_points(X1,X5)
& distinct_points(X4,X5)
& distinct_points(X1,X4) )
=> ~ ( between_on_line(X2,X1,X4,X5)
& between_on_line(X2,X1,X5,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(oag9,axiom,
! [X2,X3] :
( ( unequally_directed_lines(X2,X3)
& unequally_directed_lines(X2,reverse_line(X3)) )
=> ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag9) ).
fof(oag11,axiom,
! [X2,X3] :
~ ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag11) ).
fof(oag6,axiom,
! [X2,X3,X6] :
( unequally_directed_lines(X2,X3)
=> ( unequally_directed_lines(X2,X6)
| unequally_directed_lines(X3,X6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag6) ).
fof(oagco9,axiom,
! [X1,X4] : ~ unequally_directed_lines(line_connecting(X1,X4),reverse_line(line_connecting(X4,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oagco9) ).
fof(c_0_8,plain,
! [X2] : ~ unequally_directed_lines(X2,X2),
inference(fof_simplification,[status(thm)],[oag5]) ).
fof(c_0_9,plain,
! [X29] : ~ unequally_directed_lines(X29,X29),
inference(variable_rename,[status(thm)],[c_0_8]) ).
fof(c_0_10,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_11,plain,
! [X50] :
( ~ line(X50)
| line(reverse_line(X50)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oagco4])]) ).
fof(c_0_12,negated_conjecture,
~ ! [X2,X1,X4,X5] :
( ( line(X2)
& distinct_points(X1,X5)
& distinct_points(X4,X5)
& distinct_points(X1,X4) )
=> ~ ( between_on_line(X2,X1,X4,X5)
& between_on_line(X2,X1,X5,X4) ) ),
inference(assume_negation,[status(cth)],[con]) ).
cnf(c_0_13,plain,
~ unequally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X1,reverse_line(X2))
| ~ line(X1)
| ~ line(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( line(reverse_line(X1))
| ~ line(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,negated_conjecture,
( line(esk1_0)
& distinct_points(esk2_0,esk4_0)
& distinct_points(esk3_0,esk4_0)
& distinct_points(esk2_0,esk3_0)
& between_on_line(esk1_0,esk2_0,esk3_0,esk4_0)
& between_on_line(esk1_0,esk2_0,esk4_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_17,plain,
! [X38,X39] :
( ~ unequally_directed_lines(X38,X39)
| ~ unequally_directed_lines(X38,reverse_line(X39))
| left_convergent_lines(X38,X39)
| left_convergent_lines(X38,reverse_line(X39)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag9])]) ).
fof(c_0_18,plain,
! [X42,X43] :
( ~ left_convergent_lines(X42,X43)
& ~ left_convergent_lines(X42,reverse_line(X43)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag11])]) ).
fof(c_0_19,plain,
! [X30,X31,X32] :
( ~ unequally_directed_lines(X30,X31)
| unequally_directed_lines(X30,X32)
| unequally_directed_lines(X31,X32) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag6])]) ).
cnf(c_0_20,plain,
( unequally_directed_lines(reverse_line(X1),X1)
| ~ line(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_21,negated_conjecture,
line(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( left_convergent_lines(X1,X2)
| left_convergent_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
( unequally_directed_lines(X1,X3)
| unequally_directed_lines(X2,X3)
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
unequally_directed_lines(reverse_line(esk1_0),esk1_0),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_22,c_0_23]),c_0_23]) ).
cnf(c_0_27,negated_conjecture,
( unequally_directed_lines(reverse_line(esk1_0),X1)
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( unequally_directed_lines(esk1_0,reverse_line(X1))
| ~ unequally_directed_lines(reverse_line(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_29,negated_conjecture,
( unequally_directed_lines(reverse_line(esk1_0),X1)
| unequally_directed_lines(esk1_0,X2)
| unequally_directed_lines(X2,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_27]) ).
cnf(c_0_30,plain,
( unequally_directed_lines(reverse_line(X1),X2)
| unequally_directed_lines(X1,X2)
| ~ line(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_20]) ).
fof(c_0_31,plain,
! [X1,X4] : ~ unequally_directed_lines(line_connecting(X1,X4),reverse_line(line_connecting(X4,X1))),
inference(fof_simplification,[status(thm)],[oagco9]) ).
cnf(c_0_32,negated_conjecture,
( unequally_directed_lines(esk1_0,reverse_line(X1))
| unequally_directed_lines(esk1_0,X2)
| unequally_directed_lines(X2,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| ~ line(X1)
| ~ unequally_directed_lines(reverse_line(X1),X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_30]) ).
fof(c_0_34,plain,
! [X58,X59] : ~ unequally_directed_lines(line_connecting(X58,X59),reverse_line(line_connecting(X59,X58))),
inference(variable_rename,[status(thm)],[c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( unequally_directed_lines(esk1_0,X1)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_32]) ).
cnf(c_0_36,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X1,X2)
| ~ line(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_30]) ).
cnf(c_0_37,plain,
~ unequally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1))),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(esk1_0,X2)
| unequally_directed_lines(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_21])]) ).
cnf(c_0_39,negated_conjecture,
( unequally_directed_lines(esk1_0,line_connecting(X1,X2))
| unequally_directed_lines(esk1_0,line_connecting(X2,X1)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_40,negated_conjecture,
unequally_directed_lines(esk1_0,line_connecting(X1,X1)),
inference(ef,[status(thm)],[c_0_39]) ).
cnf(c_0_41,negated_conjecture,
( unequally_directed_lines(line_connecting(X1,X1),X2)
| unequally_directed_lines(esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_40]) ).
cnf(c_0_42,negated_conjecture,
unequally_directed_lines(esk1_0,reverse_line(line_connecting(X1,X1))),
inference(spm,[status(thm)],[c_0_37,c_0_41]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_42]),c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO260+1 : TPTP v8.1.2. Bugfixed v8.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n001.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 22:16:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.62 start to proof: theBenchmark
% 0.19/0.69 % Version : CSE_E---1.5
% 0.19/0.69 % Problem : theBenchmark.p
% 0.19/0.69 % Proof found
% 0.19/0.69 % SZS status Theorem for theBenchmark.p
% 0.19/0.69 % SZS output start Proof
% See solution above
% 0.19/0.70 % Total time : 0.066000 s
% 0.19/0.70 % SZS output end Proof
% 0.19/0.70 % Total time : 0.070000 s
%------------------------------------------------------------------------------