TSTP Solution File: GEO222+3 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO222+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n028.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 0.18s 0.50s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 44 ( 18 unt; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 100 ( 40 ~; 44 |; 9 &)
% ( 2 <=>; 5 =>; 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 : 87 ( 6 sgn; 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ooc1,axiom,
! [X9,X6] : ~ unorthogonal_lines(orthogonal_through_point(X6,X9),X6),
file('/export/starexec/sandbox2/tmp/tmp.ov5l7eva2c/E---3.1_20269.p',ooc1) ).
fof(couo1,axiom,
! [X6,X7,X8] :
( ( ~ unorthogonal_lines(X6,X7)
& ~ unorthogonal_lines(X6,X8) )
=> ~ convergent_lines(X7,X8) ),
file('/export/starexec/sandbox2/tmp/tmp.ov5l7eva2c/E---3.1_20269.p',couo1) ).
fof(occu1,axiom,
! [X6,X7] :
( convergent_lines(X6,X7)
| unorthogonal_lines(X6,X7) ),
file('/export/starexec/sandbox2/tmp/tmp.ov5l7eva2c/E---3.1_20269.p',occu1) ).
fof(con,conjecture,
! [X9,X6] : parallel_lines(X6,orthogonal_through_point(orthogonal_through_point(X6,X9),X9)),
file('/export/starexec/sandbox2/tmp/tmp.ov5l7eva2c/E---3.1_20269.p',con) ).
fof(a3,axiom,
! [X1,X2] :
( parallel_lines(X1,X2)
<=> ~ convergent_lines(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.ov5l7eva2c/E---3.1_20269.p',a3) ).
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.ov5l7eva2c/E---3.1_20269.p',oac1) ).
fof(apart3,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/export/starexec/sandbox2/tmp/tmp.ov5l7eva2c/E---3.1_20269.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.ov5l7eva2c/E---3.1_20269.p',ceq3) ).
fof(p1,axiom,
! [X1,X2] :
( distinct_lines(X1,X2)
=> convergent_lines(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.ov5l7eva2c/E---3.1_20269.p',p1) ).
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,
! [X6,X7,X8] :
( ( ~ unorthogonal_lines(X6,X7)
& ~ unorthogonal_lines(X6,X8) )
=> ~ convergent_lines(X7,X8) ),
inference(fof_simplification,[status(thm)],[couo1]) ).
fof(c_0_11,plain,
! [X58,X59] : ~ unorthogonal_lines(orthogonal_through_point(X59,X58),X59),
inference(variable_rename,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X53,X54] :
( convergent_lines(X53,X54)
| unorthogonal_lines(X53,X54) ),
inference(variable_rename,[status(thm)],[occu1]) ).
fof(c_0_13,plain,
! [X71,X72,X73] :
( unorthogonal_lines(X71,X72)
| unorthogonal_lines(X71,X73)
| ~ convergent_lines(X72,X73) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
cnf(c_0_14,plain,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,negated_conjecture,
~ ! [X9,X6] : parallel_lines(X6,orthogonal_through_point(orthogonal_through_point(X6,X9),X9)),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_17,plain,
! [X1,X2] :
( parallel_lines(X1,X2)
<=> ~ convergent_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[a3]) ).
fof(c_0_18,plain,
! [X55,X56,X57] :
( ( convergent_lines(X56,X57)
| convergent_lines(X55,X57)
| ~ convergent_lines(X55,X56)
| ~ unorthogonal_lines(X55,X56) )
& ( unorthogonal_lines(X56,X57)
| convergent_lines(X55,X57)
| ~ convergent_lines(X55,X56)
| ~ unorthogonal_lines(X55,X56) )
& ( convergent_lines(X56,X57)
| unorthogonal_lines(X55,X57)
| ~ convergent_lines(X55,X56)
| ~ unorthogonal_lines(X55,X56) )
& ( unorthogonal_lines(X56,X57)
| unorthogonal_lines(X55,X57)
| ~ convergent_lines(X55,X56)
| ~ unorthogonal_lines(X55,X56) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oac1])])]) ).
cnf(c_0_19,plain,
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X1,X3)
| ~ convergent_lines(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
convergent_lines(orthogonal_through_point(X1,X2),X1),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_21,negated_conjecture,
~ parallel_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,
! [X86,X87] :
( ( ~ parallel_lines(X86,X87)
| ~ convergent_lines(X86,X87) )
& ( convergent_lines(X86,X87)
| parallel_lines(X86,X87) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])]) ).
fof(c_0_23,plain,
! [X1] : ~ convergent_lines(X1,X1),
inference(fof_simplification,[status(thm)],[apart3]) ).
fof(c_0_24,plain,
! [X41,X42,X43] :
( ~ convergent_lines(X41,X42)
| distinct_lines(X42,X43)
| convergent_lines(X41,X43) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq3])]) ).
cnf(c_0_25,plain,
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| ~ convergent_lines(X3,X1)
| ~ unorthogonal_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( unorthogonal_lines(X1,orthogonal_through_point(X2,X3))
| unorthogonal_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,negated_conjecture,
~ parallel_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
( convergent_lines(X1,X2)
| parallel_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_29,plain,
! [X13] : ~ convergent_lines(X13,X13),
inference(variable_rename,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
( distinct_lines(X2,X3)
| convergent_lines(X1,X3)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( unorthogonal_lines(orthogonal_through_point(X1,X2),X3)
| unorthogonal_lines(X4,X1)
| unorthogonal_lines(X4,X3)
| ~ convergent_lines(X4,orthogonal_through_point(X1,X2)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
convergent_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_33,plain,
! [X44,X45] :
( ~ distinct_lines(X44,X45)
| convergent_lines(X44,X45) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])]) ).
cnf(c_0_34,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
( convergent_lines(orthogonal_through_point(X1,X2),X3)
| distinct_lines(X1,X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_20]) ).
cnf(c_0_36,negated_conjecture,
( unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1)
| unorthogonal_lines(esk2_0,orthogonal_through_point(esk2_0,esk1_0))
| unorthogonal_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
( convergent_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,plain,
distinct_lines(X1,orthogonal_through_point(X1,X2)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1)
| ~ unorthogonal_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_40,negated_conjecture,
unorthogonal_lines(esk2_0,orthogonal_through_point(esk2_0,esk1_0)),
inference(spm,[status(thm)],[c_0_14,c_0_36]) ).
cnf(c_0_41,plain,
convergent_lines(X1,orthogonal_through_point(X1,X2)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
( unorthogonal_lines(orthogonal_through_point(esk2_0,esk1_0),X1)
| convergent_lines(esk2_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_42]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO222+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 2400
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Oct 3 07:04:37 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.47 Running first-order model finding
% 0.18/0.47 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.ov5l7eva2c/E---3.1_20269.p
% 0.18/0.50 # Version: 3.1pre001
% 0.18/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.50 # Starting sh5l with 300s (1) cores
% 0.18/0.50 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 20426 completed with status 0
% 0.18/0.50 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.50 # No SInE strategy applied
% 0.18/0.50 # Search class: FGHNF-FFMF22-SFFFFFNN
% 0.18/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.50 # Starting SAT001_CO_MinMin_p005000_rr with 811s (1) cores
% 0.18/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.18/0.50 # Starting new_bool_3 with 136s (1) cores
% 0.18/0.50 # Starting new_bool_1 with 136s (1) cores
% 0.18/0.50 # Starting sh5l with 136s (1) cores
% 0.18/0.50 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 20434 completed with status 0
% 0.18/0.50 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.50 # No SInE strategy applied
% 0.18/0.50 # Search class: FGHNF-FFMF22-SFFFFFNN
% 0.18/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.50 # Starting SAT001_CO_MinMin_p005000_rr with 811s (1) cores
% 0.18/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.18/0.50 # Preprocessing time : 0.002 s
% 0.18/0.50 # Presaturation interreduction done
% 0.18/0.50
% 0.18/0.50 # Proof found!
% 0.18/0.50 # SZS status Theorem
% 0.18/0.50 # SZS output start CNFRefutation
% See solution above
% 0.18/0.50 # Parsed axioms : 36
% 0.18/0.50 # Removed by relevancy pruning/SinE : 0
% 0.18/0.50 # Initial clauses : 47
% 0.18/0.50 # Removed in clause preprocessing : 0
% 0.18/0.50 # Initial clauses in saturation : 47
% 0.18/0.50 # Processed clauses : 151
% 0.18/0.50 # ...of these trivial : 0
% 0.18/0.50 # ...subsumed : 16
% 0.18/0.50 # ...remaining for further processing : 135
% 0.18/0.50 # Other redundant clauses eliminated : 0
% 0.18/0.50 # Clauses deleted for lack of memory : 0
% 0.18/0.50 # Backward-subsumed : 1
% 0.18/0.50 # Backward-rewritten : 5
% 0.18/0.50 # Generated clauses : 348
% 0.18/0.50 # ...of the previous two non-redundant : 306
% 0.18/0.50 # ...aggressively subsumed : 0
% 0.18/0.50 # Contextual simplify-reflections : 0
% 0.18/0.50 # Paramodulations : 342
% 0.18/0.50 # Factorizations : 6
% 0.18/0.50 # NegExts : 0
% 0.18/0.50 # Equation resolutions : 0
% 0.18/0.50 # Total rewrite steps : 42
% 0.18/0.50 # Propositional unsat checks : 0
% 0.18/0.50 # Propositional check models : 0
% 0.18/0.50 # Propositional check unsatisfiable : 0
% 0.18/0.50 # Propositional clauses : 0
% 0.18/0.50 # Propositional clauses after purity: 0
% 0.18/0.50 # Propositional unsat core size : 0
% 0.18/0.50 # Propositional preprocessing time : 0.000
% 0.18/0.50 # Propositional encoding time : 0.000
% 0.18/0.50 # Propositional solver time : 0.000
% 0.18/0.50 # Success case prop preproc time : 0.000
% 0.18/0.50 # Success case prop encoding time : 0.000
% 0.18/0.50 # Success case prop solver time : 0.000
% 0.18/0.50 # Current number of processed clauses : 86
% 0.18/0.50 # Positive orientable unit clauses : 9
% 0.18/0.50 # Positive unorientable unit clauses: 0
% 0.18/0.50 # Negative unit clauses : 8
% 0.18/0.50 # Non-unit-clauses : 69
% 0.18/0.50 # Current number of unprocessed clauses: 239
% 0.18/0.50 # ...number of literals in the above : 972
% 0.18/0.50 # Current number of archived formulas : 0
% 0.18/0.50 # Current number of archived clauses : 49
% 0.18/0.50 # Clause-clause subsumption calls (NU) : 1321
% 0.18/0.50 # Rec. Clause-clause subsumption calls : 831
% 0.18/0.50 # Non-unit clause-clause subsumptions : 16
% 0.18/0.50 # Unit Clause-clause subsumption calls : 75
% 0.18/0.50 # Rewrite failures with RHS unbound : 0
% 0.18/0.50 # BW rewrite match attempts : 5
% 0.18/0.50 # BW rewrite match successes : 1
% 0.18/0.50 # Condensation attempts : 0
% 0.18/0.50 # Condensation successes : 0
% 0.18/0.50 # Termbank termtop insertions : 8646
% 0.18/0.50
% 0.18/0.50 # -------------------------------------------------
% 0.18/0.50 # User time : 0.017 s
% 0.18/0.50 # System time : 0.003 s
% 0.18/0.50 # Total time : 0.020 s
% 0.18/0.50 # Maximum resident set size: 1852 pages
% 0.18/0.50
% 0.18/0.50 # -------------------------------------------------
% 0.18/0.50 # User time : 0.075 s
% 0.18/0.50 # System time : 0.008 s
% 0.18/0.50 # Total time : 0.083 s
% 0.18/0.50 # Maximum resident set size: 1732 pages
% 0.18/0.50 % E---3.1 exiting
%------------------------------------------------------------------------------