TSTP Solution File: GEO260+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO260+1 : TPTP v8.1.0. Bugfixed v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 : 600s
% DateTime : Sat Jul 16 03:44:58 EDT 2022
% Result : Theorem 7.38s 2.24s
% Output : CNFRefutation 7.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 12 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 92 ( 30 ~; 41 |; 16 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 68 ( 2 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(oag5,axiom,
! [X2] : ~ unequally_directed_lines(X2,X2),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag5) ).
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(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(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_7,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]) ).
fof(c_0_8,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_9,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_7])])]) ).
cnf(c_0_10,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X1,reverse_line(X2))
| ~ line(X1)
| ~ line(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
line(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X29] : ~ unequally_directed_lines(X29,X29),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[oag5])]) ).
fof(c_0_13,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_14,negated_conjecture,
( unequally_directed_lines(X1,reverse_line(esk1_0))
| unequally_directed_lines(X1,esk1_0)
| ~ line(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
~ unequally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,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_17,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])]) ).
cnf(c_0_18,plain,
( unequally_directed_lines(X1,X3)
| unequally_directed_lines(X2,X3)
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
unequally_directed_lines(esk1_0,reverse_line(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_11]),c_0_15]) ).
cnf(c_0_20,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_16]) ).
cnf(c_0_21,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( unequally_directed_lines(reverse_line(esk1_0),X1)
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_20,c_0_21]),c_0_21]) ).
cnf(c_0_24,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_18,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( unequally_directed_lines(esk1_0,reverse_line(X1))
| ~ unequally_directed_lines(reverse_line(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( unequally_directed_lines(X1,reverse_line(esk1_0))
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( unequally_directed_lines(esk1_0,reverse_line(X1))
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_22]) ).
cnf(c_0_28,negated_conjecture,
( unequally_directed_lines(esk1_0,X1)
| ~ unequally_directed_lines(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
( unequally_directed_lines(reverse_line(X1),X2)
| unequally_directed_lines(esk1_0,X1)
| unequally_directed_lines(esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
( unequally_directed_lines(reverse_line(X1),esk1_0)
| unequally_directed_lines(esk1_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_15]) ).
cnf(c_0_31,negated_conjecture,
( unequally_directed_lines(reverse_line(reverse_line(X1)),esk1_0)
| ~ unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_30]) ).
cnf(c_0_32,negated_conjecture,
( unequally_directed_lines(reverse_line(X1),X1)
| unequally_directed_lines(esk1_0,X1) ),
inference(ef,[status(thm)],[c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( unequally_directed_lines(reverse_line(reverse_line(X1)),esk1_0)
| unequally_directed_lines(reverse_line(X1),X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_34,negated_conjecture,
( unequally_directed_lines(esk1_0,reverse_line(reverse_line(X1)))
| unequally_directed_lines(reverse_line(X1),X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_33]) ).
cnf(c_0_35,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_25,c_0_24]) ).
cnf(c_0_36,negated_conjecture,
( unequally_directed_lines(reverse_line(X1),X1)
| ~ unequally_directed_lines(esk1_0,reverse_line(X1)) ),
inference(spm,[status(thm)],[c_0_23,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
unequally_directed_lines(reverse_line(X1),X1),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_35]),c_0_36]) ).
fof(c_0_38,plain,
! [X58,X59] : ~ unequally_directed_lines(line_connecting(X58,X59),reverse_line(line_connecting(X59,X58))),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[oagco9])]) ).
cnf(c_0_39,negated_conjecture,
( unequally_directed_lines(reverse_line(X1),X2)
| unequally_directed_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_37]) ).
cnf(c_0_40,plain,
~ unequally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1))),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_41,negated_conjecture,
unequally_directed_lines(X1,reverse_line(X1)),
inference(spm,[status(thm)],[c_0_15,c_0_39]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_40,c_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GEO260+1 : TPTP v8.1.0. Bugfixed v8.1.0.
% 0.03/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Sat Jun 18 05:51:48 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.37 # ENIGMATIC: Selected SinE mode:
% 0.13/0.38 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.13/0.38 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.13/0.38 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.38/2.24 # ENIGMATIC: Solved by autoschedule:
% 7.38/2.24 # No SInE strategy applied
% 7.38/2.24 # Trying AutoSched0 for 150 seconds
% 7.38/2.24 # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YA
% 7.38/2.24 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.38/2.24 #
% 7.38/2.24 # Preprocessing time : 0.014 s
% 7.38/2.24 # Presaturation interreduction done
% 7.38/2.24
% 7.38/2.24 # Proof found!
% 7.38/2.24 # SZS status Theorem
% 7.38/2.24 # SZS output start CNFRefutation
% See solution above
% 7.38/2.24 # Training examples: 0 positive, 0 negative
% 7.38/2.24
% 7.38/2.24 # -------------------------------------------------
% 7.38/2.24 # User time : 0.059 s
% 7.38/2.24 # System time : 0.007 s
% 7.38/2.24 # Total time : 0.066 s
% 7.38/2.24 # Maximum resident set size: 7120 pages
% 7.38/2.24
%------------------------------------------------------------------------------