%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO231+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:27:54 PM UTC 2026
% Result : Theorem 0.10s 0.43s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 14 unt; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 91 ( 36 ~; 37 |; 9 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 76 ( 2 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a5_defns,axiom,
! [X1,X2] :
( equally_directed_opposite_lines(X1,X2)
<=> ~ unequally_directed_opposite_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a5_defns) ).
fof(a1_defns,axiom,
! [X1,X2] :
( unequally_directed_opposite_lines(X1,X2)
<=> unequally_directed_lines(X1,reverse_line(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a1_defns) ).
fof(con,conjecture,
! [X4,X5,X8] :
( ( equally_directed_lines(X4,X8)
& equally_directed_opposite_lines(X4,X5) )
=> equally_directed_opposite_lines(X5,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(ax8_basics,axiom,
! [X4,X5] :
( unequally_directed_lines(X4,reverse_line(X5))
| unequally_directed_lines(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax8_basics) ).
fof(a4_defns,axiom,
! [X1,X2] :
( equally_directed_lines(X1,X2)
<=> ~ unequally_directed_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a4_defns) ).
fof(ax6_basics,axiom,
! [X4,X5,X8] :
( unequally_directed_lines(X4,X5)
=> ( unequally_directed_lines(X5,X8)
| unequally_directed_lines(X4,X8) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax6_basics) ).
fof(ax5_basics,axiom,
! [X4] : equally_directed_lines(X4,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax5_basics) ).
fof(ax9_basics,axiom,
! [X4,X5] :
( ( unequally_directed_lines(X4,reverse_line(X5))
& unequally_directed_lines(X4,X5) )
=> ( left_convergent_lines(X4,reverse_line(X5))
| left_convergent_lines(X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax9_basics) ).
fof(ax11_basics,axiom,
! [X4,X5] :
~ ( left_convergent_lines(X4,reverse_line(X5))
| left_convergent_lines(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax11_basics) ).
fof(c_0_9,plain,
! [X1,X2] :
( equally_directed_opposite_lines(X1,X2)
<=> ~ unequally_directed_opposite_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[a5_defns]) ).
fof(c_0_10,plain,
! [X12,X13] :
( ( equally_directed_opposite_lines(X12,X13)
| unequally_directed_opposite_lines(X12,X13) )
& ( ~ unequally_directed_opposite_lines(X12,X13)
| ~ equally_directed_opposite_lines(X12,X13) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_11,plain,
! [X19,X20] :
( ( unequally_directed_opposite_lines(X19,X20)
| ~ unequally_directed_lines(X19,reverse_line(X20)) )
& ( unequally_directed_lines(X19,reverse_line(X20))
| ~ unequally_directed_opposite_lines(X19,X20) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_defns])])]) ).
fof(c_0_12,negated_conjecture,
~ ! [X4,X5,X8] :
( ( equally_directed_lines(X4,X8)
& equally_directed_opposite_lines(X4,X5) )
=> equally_directed_opposite_lines(X5,X8) ),
inference(assume_negation,[status(cth)],[con]) ).
cnf(c_0_13,plain,
( ~ unequally_directed_opposite_lines(X1,X2)
| ~ equally_directed_opposite_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_opposite_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,negated_conjecture,
( ~ equally_directed_opposite_lines(esk2_0,esk3_0)
& equally_directed_lines(esk1_0,esk3_0)
& equally_directed_opposite_lines(esk1_0,esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
cnf(c_0_16,plain,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ equally_directed_opposite_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
equally_directed_opposite_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,plain,
! [X27,X28] :
( unequally_directed_lines(X27,reverse_line(X28))
| unequally_directed_lines(X27,X28) ),
inference(variable_rename,[status(thm)],[ax8_basics]) ).
fof(c_0_19,plain,
! [X1,X2] :
( equally_directed_lines(X1,X2)
<=> ~ unequally_directed_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[a4_defns]) ).
fof(c_0_20,plain,
! [X21,X22,X23] :
( unequally_directed_lines(X22,X23)
| unequally_directed_lines(X21,X23)
| ~ unequally_directed_lines(X21,X22) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6_basics])])]) ).
cnf(c_0_21,negated_conjecture,
~ unequally_directed_lines(esk1_0,reverse_line(esk2_0)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_23,plain,
! [X14,X15] :
( ( equally_directed_lines(X14,X15)
| unequally_directed_lines(X14,X15) )
& ( ~ unequally_directed_lines(X14,X15)
| ~ equally_directed_lines(X14,X15) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_24,plain,
! [X16] : equally_directed_lines(X16,X16),
inference(variable_rename,[status(thm)],[ax5_basics]) ).
cnf(c_0_25,plain,
( ~ unequally_directed_lines(X1,X2)
| unequally_directed_lines(X2,X3)
| unequally_directed_lines(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
unequally_directed_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ equally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
equally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( unequally_directed_lines(esk1_0,X1)
| unequally_directed_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
~ unequally_directed_lines(X1,X1),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(esk2_0,X2)
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
equally_directed_lines(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_33,negated_conjecture,
( unequally_directed_lines(esk1_0,X1)
| unequally_directed_lines(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_34,plain,
! [X45,X46] :
( left_convergent_lines(X45,reverse_line(X46))
| left_convergent_lines(X45,X46)
| ~ unequally_directed_lines(X45,reverse_line(X46))
| ~ unequally_directed_lines(X45,X46) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax9_basics])])]) ).
fof(c_0_35,plain,
! [X47,X48] :
( ~ left_convergent_lines(X47,reverse_line(X48))
& ~ left_convergent_lines(X47,X48) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11_basics])])]) ).
cnf(c_0_36,plain,
( ~ unequally_directed_opposite_lines(X1,X2)
| unequally_directed_lines(X1,reverse_line(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_37,plain,
( equally_directed_opposite_lines(X1,X2)
| unequally_directed_opposite_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_38,negated_conjecture,
~ unequally_directed_lines(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_27,c_0_32]) ).
cnf(c_0_39,negated_conjecture,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(esk1_0,X2)
| unequally_directed_lines(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_33]) ).
cnf(c_0_40,plain,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,negated_conjecture,
~ equally_directed_opposite_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_43,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| equally_directed_opposite_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,negated_conjecture,
( unequally_directed_lines(X1,esk2_0)
| unequally_directed_lines(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_40,c_0_41]),c_0_41]) ).
cnf(c_0_46,negated_conjecture,
unequally_directed_lines(esk2_0,reverse_line(esk3_0)),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
unequally_directed_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_30,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO231+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 14:12:01 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.43 % Version: 3.5.1
% 0.10/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.43 % Starting sh5l with 300s (1) cores
% 0.10/0.43 % new_bool_3 with pid 1977763 completed with status 0
% 0.10/0.43 % Result found by new_bool_3
% 0.10/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.43 % Search class: FGHNF-FFMF21-SFFFFFNN
% 0.10/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.43 % SubtermCWHack with pid 1977768 completed with status 0
% 0.10/0.43 % Result found by SubtermCWHack
% 0.10/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.43 % Search class: FGHNF-FFMF21-SFFFFFNN
% 0.10/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.43 % Preprocessing time : 0.002 s
% 0.10/0.43
% 0.10/0.43 % Proof found!
% 0.10/0.43 % SZS status Theorem
% 0.10/0.43 % SZS output start CNFRefutation
% See solution above
% 0.10/0.43 % Parsed axioms : 37
% 0.10/0.43 % Removed by relevancy pruning/SinE : 17
% 0.10/0.43 % Initial clauses : 33
% 0.10/0.43 % Removed in clause preprocessing : 0
% 0.10/0.43 % Initial clauses in saturation : 33
% 0.10/0.43 % Processed clauses : 77
% 0.10/0.43 % ...of these trivial : 0
% 0.10/0.43 % ...subsumed : 21
% 0.10/0.43 % ...remaining for further processing : 56
% 0.10/0.43 % Other redundant clauses eliminated : 0
% 0.10/0.43 % Clauses deleted for lack of memory : 0
% 0.10/0.43 % Backward-subsumed : 2
% 0.10/0.43 % Backward-rewritten : 0
% 0.10/0.43 % Generated clauses : 194
% 0.10/0.43 % ...of the previous two non-redundant : 132
% 0.10/0.43 % ...aggressively subsumed : 0
% 0.10/0.43 % Contextual simplify-reflections : 0
% 0.10/0.43 % Paramodulations : 164
% 0.10/0.43 % Factorizations : 30
% 0.10/0.43 % NegExts : 0
% 0.10/0.43 % Equation resolutions : 0
% 0.10/0.43 % Disequality decompositions : 0
% 0.10/0.43 % Total rewrite steps : 41
% 0.10/0.43 % ...of those cached : 35
% 0.10/0.43 % Propositional unsat checks : 0
% 0.10/0.43 % Propositional check models : 0
% 0.10/0.43 % Propositional check unsatisfiable : 0
% 0.10/0.43 % Propositional clauses : 0
% 0.10/0.43 % Propositional clauses after purity: 0
% 0.10/0.43 % Propositional unsat core size : 0
% 0.10/0.43 % Propositional preprocessing time : 0.000
% 0.10/0.43 % Propositional encoding time : 0.000
% 0.10/0.43 % Propositional solver time : 0.000
% 0.10/0.43 % Success case prop preproc time : 0.000
% 0.10/0.43 % Success case prop encoding time : 0.000
% 0.10/0.43 % Success case prop solver time : 0.000
% 0.10/0.43 % Current number of processed clauses : 54
% 0.10/0.43 % Positive orientable unit clauses : 10
% 0.10/0.43 % Positive unorientable unit clauses: 0
% 0.10/0.43 % Negative unit clauses : 8
% 0.10/0.43 % Non-unit-clauses : 36
% 0.10/0.43 % Current number of unprocessed clauses: 80
% 0.10/0.43 % ...number of literals in the above : 331
% 0.10/0.43 % Current number of archived formulas : 0
% 0.10/0.43 % Current number of archived clauses : 2
% 0.10/0.43 % Clause-clause subsumption calls (NU) : 572
% 0.10/0.43 % Rec. Clause-clause subsumption calls : 448
% 0.10/0.43 % Non-unit clause-clause subsumptions : 18
% 0.10/0.43 % Unit Clause-clause subsumption calls : 21
% 0.10/0.43 % Rewrite failures with RHS unbound : 0
% 0.10/0.43 % BW rewrite match attempts : 4
% 0.10/0.43 % BW rewrite match successes : 0
% 0.10/0.43 % Condensation attempts : 0
% 0.10/0.43 % Condensation successes : 0
% 0.10/0.43 % Termbank termtop insertions : 3894
% 0.10/0.43 % Search garbage collected termcells : 477
% 0.10/0.43
% 0.10/0.43 % -------------------------------------------------
% 0.10/0.43 % User time : 0.011 s
% 0.10/0.43 % System time : 0.001 s
% 0.10/0.43 % Total time : 0.012 s
% 0.10/0.43 % Maximum resident set size: 3684 pages
% 0.10/0.43
% 0.10/0.43 % -------------------------------------------------
% 0.10/0.43 % User time : 0.013 s
% 0.10/0.43 % System time : 0.003 s
% 0.10/0.43 % Total time : 0.016 s
% 0.10/0.43 % Maximum resident set size: 4864 pages
% 0.10/0.43 % E exiting
%------------------------------------------------------------------------------