%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO206+3 : TPTP v9.3.1. Bugfixed v4.0.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:27:46 PM UTC 2026
% Result : Theorem 0.16s 10.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 51 ( 22 ~; 15 |; 6 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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; 0-2 aty)
% Number of variables : 47 ( 1 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X1,X2,X3] :
( ( parallel_lines(X2,X3)
& incident_point_and_line(X1,X2) )
=> equal_lines(X2,parallel_through_point(X3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(ax2,axiom,
! [X1,X2] :
( equal_lines(X1,X2)
<=> ~ distinct_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',ax2) ).
fof(apart5,axiom,
! [X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X2,X3)
| distinct_lines(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart5) ).
fof(cp1,axiom,
! [X1,X2] : ~ convergent_lines(parallel_through_point(X2,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax',cp1) ).
fof(p1,axiom,
! [X1,X2] :
( distinct_lines(X1,X2)
=> convergent_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax',p1) ).
fof(a3,axiom,
! [X1,X2] :
( parallel_lines(X1,X2)
<=> ~ convergent_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a3) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2,X3] :
( ( parallel_lines(X2,X3)
& incident_point_and_line(X1,X2) )
=> equal_lines(X2,parallel_through_point(X3,X1)) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_7,plain,
! [X1,X2] :
( equal_lines(X1,X2)
<=> ~ distinct_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[ax2]) ).
fof(c_0_8,negated_conjecture,
( ~ equal_lines(esk2_0,parallel_through_point(esk3_0,esk1_0))
& parallel_lines(esk2_0,esk3_0)
& incident_point_and_line(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_6])])])]) ).
fof(c_0_9,plain,
! [X84,X85] :
( ( equal_lines(X84,X85)
| distinct_lines(X84,X85) )
& ( ~ distinct_lines(X84,X85)
| ~ equal_lines(X84,X85) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_10,plain,
! [X17,X18,X19] :
( distinct_lines(X18,X19)
| distinct_lines(X17,X19)
| ~ distinct_lines(X17,X18) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apart5])])]) ).
cnf(c_0_11,negated_conjecture,
~ equal_lines(esk2_0,parallel_through_point(esk3_0,esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( equal_lines(X1,X2)
| distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X1,X2] : ~ convergent_lines(parallel_through_point(X2,X1),X2),
inference(fof_simplification,[status(thm)],[cp1]) ).
fof(c_0_14,plain,
! [X44,X45] :
( convergent_lines(X44,X45)
| ~ distinct_lines(X44,X45) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])]) ).
cnf(c_0_15,plain,
( ~ distinct_lines(X1,X2)
| distinct_lines(X2,X3)
| distinct_lines(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
distinct_lines(esk2_0,parallel_through_point(esk3_0,esk1_0)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
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,
! [X46,X47] : ~ convergent_lines(parallel_through_point(X47,X46),X47),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_13])]) ).
cnf(c_0_19,plain,
( ~ distinct_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( distinct_lines(esk2_0,X1)
| distinct_lines(parallel_through_point(esk3_0,esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_21,plain,
! [X86,X87] :
( ( parallel_lines(X86,X87)
| convergent_lines(X86,X87) )
& ( ~ convergent_lines(X86,X87)
| ~ parallel_lines(X86,X87) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
cnf(c_0_22,plain,
~ convergent_lines(parallel_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
( distinct_lines(esk2_0,X1)
| convergent_lines(parallel_through_point(esk3_0,esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
( ~ convergent_lines(X1,X2)
| ~ parallel_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,negated_conjecture,
parallel_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,negated_conjecture,
distinct_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
~ convergent_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_26]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO206+3 : TPTP v9.3.1. Bugfixed v4.0.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/10.38 % Computer : n006.cluster.edu
% 0.12/10.38 % Model : x86_64 x86_64
% 0.12/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.38 % Memory : 8046.5625MB
% 0.12/10.38 % OS : Linux 6.8.0-71-generic
% 0.12/10.38 % CPULimit : 300
% 0.12/10.38 % WCLimit : 300
% 0.12/10.39 % DateTime : Sun Sep 20 13:23:09 UTC 2026
% 0.12/10.39 % CPUTime :
% 0.12/10.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/10.43 Running first-order theorem proving
% 0.16/10.43 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.16/10.45 % Version: 3.5.1
% 0.16/10.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/10.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/10.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/10.45 % Starting new_bool_3 with 300s (1) cores
% 0.16/10.45 % Starting new_bool_1 with 300s (1) cores
% 0.16/10.45 % Starting sh5l with 300s (1) cores
% 0.16/10.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 676621 completed with status 0
% 0.16/10.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/10.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/10.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/10.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/10.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/10.45 % No SInE strategy applied
% 0.16/10.45 % Search class: FGHNF-FFMF22-SFFFFFNN
% 0.16/10.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/10.45 % Starting SubtermCWHack with 136s (1) cores
% 0.16/10.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/10.45 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/10.45 % Starting new_bool_3 with 136s (1) cores
% 0.16/10.45 % Starting new_bool_1 with 136s (1) cores
% 0.16/10.45 % SubtermCWHack with pid 676625 completed with status 0
% 0.16/10.45 % Result found by SubtermCWHack
% 0.16/10.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/10.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/10.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/10.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/10.45 % No SInE strategy applied
% 0.16/10.45 % Search class: FGHNF-FFMF22-SFFFFFNN
% 0.16/10.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/10.45 % Starting SubtermCWHack with 136s (1) cores
% 0.16/10.45 % Preprocessing time : 0.001 s
% 0.16/10.45
% 0.16/10.45 % Proof found!
% 0.16/10.45 % SZS status Theorem
% 0.16/10.45 % SZS output start CNFRefutation
% See solution above
% 0.16/10.45 % Parsed axioms : 36
% 0.16/10.45 % Removed by relevancy pruning/SinE : 0
% 0.16/10.45 % Initial clauses : 49
% 0.16/10.45 % Removed in clause preprocessing : 0
% 0.16/10.45 % Initial clauses in saturation : 49
% 0.16/10.45 % Processed clauses : 40
% 0.16/10.45 % ...of these trivial : 0
% 0.16/10.45 % ...subsumed : 1
% 0.16/10.45 % ...remaining for further processing : 39
% 0.16/10.45 % Other redundant clauses eliminated : 0
% 0.16/10.45 % Clauses deleted for lack of memory : 0
% 0.16/10.45 % Backward-subsumed : 0
% 0.16/10.45 % Backward-rewritten : 0
% 0.16/10.45 % Generated clauses : 18
% 0.16/10.45 % ...of the previous two non-redundant : 9
% 0.16/10.45 % ...aggressively subsumed : 0
% 0.16/10.45 % Contextual simplify-reflections : 0
% 0.16/10.45 % Paramodulations : 18
% 0.16/10.45 % Factorizations : 0
% 0.16/10.45 % NegExts : 0
% 0.16/10.45 % Equation resolutions : 0
% 0.16/10.45 % Disequality decompositions : 0
% 0.16/10.45 % Total rewrite steps : 2
% 0.16/10.45 % ...of those cached : 1
% 0.16/10.45 % Propositional unsat checks : 0
% 0.16/10.45 % Propositional check models : 0
% 0.16/10.45 % Propositional check unsatisfiable : 0
% 0.16/10.45 % Propositional clauses : 0
% 0.16/10.45 % Propositional clauses after purity: 0
% 0.16/10.45 % Propositional unsat core size : 0
% 0.16/10.45 % Propositional preprocessing time : 0.000
% 0.16/10.45 % Propositional encoding time : 0.000
% 0.16/10.45 % Propositional solver time : 0.000
% 0.16/10.45 % Success case prop preproc time : 0.000
% 0.16/10.45 % Success case prop encoding time : 0.000
% 0.16/10.45 % Success case prop solver time : 0.000
% 0.16/10.45 % Current number of processed clauses : 39
% 0.16/10.45 % Positive orientable unit clauses : 6
% 0.16/10.45 % Positive unorientable unit clauses: 0
% 0.16/10.45 % Negative unit clauses : 10
% 0.16/10.45 % Non-unit-clauses : 23
% 0.16/10.45 % Current number of unprocessed clauses: 18
% 0.16/10.45 % ...number of literals in the above : 70
% 0.16/10.45 % Current number of archived formulas : 0
% 0.16/10.45 % Current number of archived clauses : 0
% 0.16/10.45 % Clause-clause subsumption calls (NU) : 36
% 0.16/10.45 % Rec. Clause-clause subsumption calls : 32
% 0.16/10.45 % Non-unit clause-clause subsumptions : 1
% 0.16/10.45 % Unit Clause-clause subsumption calls : 5
% 0.16/10.45 % Rewrite failures with RHS unbound : 0
% 0.16/10.45 % BW rewrite match attempts : 0
% 0.16/10.45 % BW rewrite match successes : 0
% 0.16/10.45 % Condensation attempts : 0
% 0.16/10.45 % Condensation successes : 0
% 0.16/10.45 % Termbank termtop insertions : 3469
% 0.16/10.45 % Search garbage collected termcells : 496
% 0.16/10.45
% 0.16/10.45 % -------------------------------------------------
% 0.16/10.45 % User time : 0.008 s
% 0.16/10.45 % System time : 0.001 s
% 0.16/10.45 % Total time : 0.009 s
% 0.16/10.45 % Maximum resident set size: 3680 pages
% 0.16/10.45
% 0.16/10.45 % -------------------------------------------------
% 0.16/10.45 % User time : 0.013 s
% 0.16/10.45 % System time : 0.010 s
% 0.16/10.45 % Total time : 0.023 s
% 0.16/10.45 % Maximum resident set size: 4864 pages
% 0.16/10.45 % E exiting
%------------------------------------------------------------------------------