TSTP Solution File: GEO222+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO222+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:34:31 EDT 2023
% Result : Theorem 0.19s 0.52s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 21 unt; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 113 ( 34 ~; 69 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 111 ( 14 sgn; 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ooc1,axiom,
! [X9,X6] : ~ unorthogonal_lines(orthogonal_through_point(X6,X9),X6),
file('/export/starexec/sandbox2/tmp/tmp.yEq3bpenaI/E---3.1_1159.p',ooc1) ).
fof(occu1,axiom,
! [X6,X7] :
( convergent_lines(X6,X7)
| unorthogonal_lines(X6,X7) ),
file('/export/starexec/sandbox2/tmp/tmp.yEq3bpenaI/E---3.1_1159.p',occu1) ).
fof(apart3,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/export/starexec/sandbox2/tmp/tmp.yEq3bpenaI/E---3.1_1159.p',apart3) ).
fof(ceq3,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( distinct_lines(X2,X3)
| convergent_lines(X1,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yEq3bpenaI/E---3.1_1159.p',ceq3) ).
fof(con,conjecture,
! [X9,X6] : ~ convergent_lines(X6,orthogonal_through_point(orthogonal_through_point(X6,X9),X9)),
file('/export/starexec/sandbox2/tmp/tmp.yEq3bpenaI/E---3.1_1159.p',con) ).
fof(ax6,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yEq3bpenaI/E---3.1_1159.p',ax6) ).
fof(ooc2,axiom,
! [X9,X6] : ~ apart_point_and_line(X9,orthogonal_through_point(X6,X9)),
file('/export/starexec/sandbox2/tmp/tmp.yEq3bpenaI/E---3.1_1159.p',ooc2) ).
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/sandbox2/tmp/tmp.yEq3bpenaI/E---3.1_1159.p',ouo1) ).
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/tmp/tmp.yEq3bpenaI/E---3.1_1159.p',oac1) ).
fof(c_0_9,plain,
! [X9,X6] : ~ unorthogonal_lines(orthogonal_through_point(X6,X9),X6),
inference(fof_simplification,[status(thm)],[ooc1]) ).
fof(c_0_10,plain,
! [X55,X56] : ~ unorthogonal_lines(orthogonal_through_point(X56,X55),X56),
inference(variable_rename,[status(thm)],[c_0_9]) ).
fof(c_0_11,plain,
! [X50,X51] :
( convergent_lines(X50,X51)
| unorthogonal_lines(X50,X51) ),
inference(variable_rename,[status(thm)],[occu1]) ).
fof(c_0_12,plain,
! [X1] : ~ convergent_lines(X1,X1),
inference(fof_simplification,[status(thm)],[apart3]) ).
fof(c_0_13,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_14,plain,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,negated_conjecture,
~ ! [X9,X6] : ~ convergent_lines(X6,orthogonal_through_point(orthogonal_through_point(X6,X9),X9)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).
fof(c_0_17,plain,
! [X12] : ~ convergent_lines(X12,X12),
inference(variable_rename,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( distinct_lines(X2,X3)
| convergent_lines(X1,X3)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
convergent_lines(orthogonal_through_point(X1,X2),X1),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_20,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])]) ).
fof(c_0_21,negated_conjecture,
convergent_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_22,plain,
! [X9,X6] : ~ apart_point_and_line(X9,orthogonal_through_point(X6,X9)),
inference(fof_simplification,[status(thm)],[ooc2]) ).
fof(c_0_23,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])]) ).
cnf(c_0_24,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( convergent_lines(orthogonal_through_point(X1,X2),X3)
| distinct_lines(X1,X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,plain,
( convergent_lines(X1,X3)
| convergent_lines(X2,X3)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
convergent_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_28,plain,
! [X57,X58] : ~ apart_point_and_line(X57,orthogonal_through_point(X58,X57)),
inference(variable_rename,[status(thm)],[c_0_22]) ).
cnf(c_0_29,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_23]) ).
cnf(c_0_30,plain,
distinct_lines(X1,orthogonal_through_point(X1,X2)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
( convergent_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_32,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])])]) ).
cnf(c_0_33,plain,
~ apart_point_and_line(X1,orthogonal_through_point(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( unorthogonal_lines(orthogonal_through_point(X1,X2),X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X4,orthogonal_through_point(X1,X2))
| apart_point_and_line(X4,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
( convergent_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1)
| convergent_lines(esk2_0,X2)
| convergent_lines(X2,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_31]) ).
cnf(c_0_36,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1)
| ~ unorthogonal_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_37,plain,
( unorthogonal_lines(orthogonal_through_point(X1,X2),X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X2,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( convergent_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1)
| convergent_lines(esk2_0,X2)
| convergent_lines(X2,X3)
| convergent_lines(X1,X3) ),
inference(spm,[status(thm)],[c_0_26,c_0_35]) ).
cnf(c_0_39,plain,
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X2,X3)
| apart_point_and_line(X4,X1)
| convergent_lines(orthogonal_through_point(X1,X4),X3)
| ~ convergent_lines(orthogonal_through_point(X1,X4),X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
( convergent_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),esk2_0)
| convergent_lines(esk2_0,X1) ),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_38]),c_0_24]) ).
cnf(c_0_41,negated_conjecture,
( unorthogonal_lines(esk2_0,X1)
| convergent_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1)
| convergent_lines(esk2_0,X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_14]),c_0_33]) ).
cnf(c_0_42,plain,
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| ~ convergent_lines(X3,X1)
| ~ unorthogonal_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,negated_conjecture,
( unorthogonal_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0))
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_41]) ).
cnf(c_0_44,negated_conjecture,
( unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1)
| unorthogonal_lines(esk2_0,X1)
| convergent_lines(esk2_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_27])]) ).
cnf(c_0_45,plain,
( convergent_lines(orthogonal_through_point(X1,X2),X3)
| convergent_lines(X1,X3) ),
inference(spm,[status(thm)],[c_0_26,c_0_19]) ).
cnf(c_0_46,negated_conjecture,
( unorthogonal_lines(esk2_0,orthogonal_through_point(esk2_0,esk1_0))
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_44]) ).
cnf(c_0_47,plain,
convergent_lines(X1,orthogonal_through_point(X1,X2)),
inference(spm,[status(thm)],[c_0_24,c_0_45]) ).
cnf(c_0_48,negated_conjecture,
( unorthogonal_lines(orthogonal_through_point(esk2_0,esk1_0),X1)
| convergent_lines(esk2_0,X2)
| convergent_lines(esk2_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_46]),c_0_47])]) ).
cnf(c_0_49,negated_conjecture,
convergent_lines(esk2_0,X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_48]),c_0_24]) ).
cnf(c_0_50,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_24,c_0_49]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO222+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.12/0.35 % Computer : n016.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 2400
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Oct 3 06:52:52 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.19/0.48 Running first-order model finding
% 0.19/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.yEq3bpenaI/E---3.1_1159.p
% 0.19/0.52 # Version: 3.1pre001
% 0.19/0.52 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.52 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.52 # Starting sh5l with 300s (1) cores
% 0.19/0.52 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1236 completed with status 0
% 0.19/0.52 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.52 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.52 # No SInE strategy applied
% 0.19/0.52 # Search class: FGHNF-FFMF22-SFFFFFNN
% 0.19/0.52 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.52 # Starting SAT001_CO_MinMin_p005000_rr with 811s (1) cores
% 0.19/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.52 # Starting new_bool_3 with 136s (1) cores
% 0.19/0.52 # Starting new_bool_1 with 136s (1) cores
% 0.19/0.52 # Starting sh5l with 136s (1) cores
% 0.19/0.52 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1243 completed with status 0
% 0.19/0.52 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.52 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.52 # No SInE strategy applied
% 0.19/0.52 # Search class: FGHNF-FFMF22-SFFFFFNN
% 0.19/0.52 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.52 # Starting SAT001_CO_MinMin_p005000_rr with 811s (1) cores
% 0.19/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.52 # Preprocessing time : 0.001 s
% 0.19/0.52 # Presaturation interreduction done
% 0.19/0.52
% 0.19/0.52 # Proof found!
% 0.19/0.52 # SZS status Theorem
% 0.19/0.52 # SZS output start CNFRefutation
% See solution above
% 0.19/0.52 # Parsed axioms : 23
% 0.19/0.52 # Removed by relevancy pruning/SinE : 0
% 0.19/0.52 # Initial clauses : 26
% 0.19/0.52 # Removed in clause preprocessing : 0
% 0.19/0.52 # Initial clauses in saturation : 26
% 0.19/0.52 # Processed clauses : 253
% 0.19/0.52 # ...of these trivial : 1
% 0.19/0.52 # ...subsumed : 102
% 0.19/0.52 # ...remaining for further processing : 150
% 0.19/0.52 # Other redundant clauses eliminated : 0
% 0.19/0.52 # Clauses deleted for lack of memory : 0
% 0.19/0.52 # Backward-subsumed : 20
% 0.19/0.52 # Backward-rewritten : 29
% 0.19/0.52 # Generated clauses : 901
% 0.19/0.52 # ...of the previous two non-redundant : 812
% 0.19/0.52 # ...aggressively subsumed : 0
% 0.19/0.52 # Contextual simplify-reflections : 0
% 0.19/0.52 # Paramodulations : 841
% 0.19/0.52 # Factorizations : 60
% 0.19/0.52 # NegExts : 0
% 0.19/0.52 # Equation resolutions : 0
% 0.19/0.52 # Total rewrite steps : 119
% 0.19/0.52 # Propositional unsat checks : 0
% 0.19/0.52 # Propositional check models : 0
% 0.19/0.52 # Propositional check unsatisfiable : 0
% 0.19/0.52 # Propositional clauses : 0
% 0.19/0.52 # Propositional clauses after purity: 0
% 0.19/0.52 # Propositional unsat core size : 0
% 0.19/0.52 # Propositional preprocessing time : 0.000
% 0.19/0.52 # Propositional encoding time : 0.000
% 0.19/0.52 # Propositional solver time : 0.000
% 0.19/0.52 # Success case prop preproc time : 0.000
% 0.19/0.52 # Success case prop encoding time : 0.000
% 0.19/0.52 # Success case prop solver time : 0.000
% 0.19/0.52 # Current number of processed clauses : 76
% 0.19/0.52 # Positive orientable unit clauses : 15
% 0.19/0.52 # Positive unorientable unit clauses: 0
% 0.19/0.52 # Negative unit clauses : 7
% 0.19/0.52 # Non-unit-clauses : 54
% 0.19/0.52 # Current number of unprocessed clauses: 566
% 0.19/0.52 # ...number of literals in the above : 2639
% 0.19/0.52 # Current number of archived formulas : 0
% 0.19/0.52 # Current number of archived clauses : 74
% 0.19/0.52 # Clause-clause subsumption calls (NU) : 3058
% 0.19/0.52 # Rec. Clause-clause subsumption calls : 1394
% 0.19/0.52 # Non-unit clause-clause subsumptions : 99
% 0.19/0.52 # Unit Clause-clause subsumption calls : 346
% 0.19/0.52 # Rewrite failures with RHS unbound : 0
% 0.19/0.52 # BW rewrite match attempts : 30
% 0.19/0.52 # BW rewrite match successes : 10
% 0.19/0.52 # Condensation attempts : 0
% 0.19/0.52 # Condensation successes : 0
% 0.19/0.52 # Termbank termtop insertions : 12835
% 0.19/0.52
% 0.19/0.52 # -------------------------------------------------
% 0.19/0.52 # User time : 0.025 s
% 0.19/0.52 # System time : 0.002 s
% 0.19/0.52 # Total time : 0.027 s
% 0.19/0.52 # Maximum resident set size: 1780 pages
% 0.19/0.52
% 0.19/0.52 # -------------------------------------------------
% 0.19/0.52 # User time : 0.105 s
% 0.19/0.52 # System time : 0.009 s
% 0.19/0.52 # Total time : 0.115 s
% 0.19/0.52 # Maximum resident set size: 1700 pages
% 0.19/0.52 % E---3.1 exiting
%------------------------------------------------------------------------------