%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GEO011-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:28:46 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.59s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 13 unt; 3 nHn; 19 RR)
% Number of literals : 31 ( 0 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t10_4,axiom,
( ~ colinear(X1,X2,X3)
| colinear(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_4) ).
cnf(colinearity4,axiom,
( ~ colinear(X1,X2,X3)
| between(X3,X1,X2)
| between(X2,X3,X1)
| between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity4) ).
cnf(prove_lower_dimension_points_not_colinear,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lower_dimension_points_not_colinear) ).
cnf(lower_dimension3,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension3) ).
cnf(lower_dimension1,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension1) ).
cnf(lower_dimension2,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension2) ).
cnf(c_0_6,plain,
( ~ colinear(X1,X2,X3)
| colinear(X3,X1,X2) ),
inference(fof_simplification,[status(thm)],[t10_4]) ).
cnf(c_0_7,plain,
( ~ colinear(X1,X2,X3)
| between(X3,X1,X2)
| between(X2,X3,X1)
| between(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[colinearity4]) ).
cnf(c_0_8,plain,
( ~ colinear(X1,X2,X3)
| colinear(X3,X1,X2) ),
c_0_6 ).
cnf(c_0_9,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
prove_lower_dimension_points_not_colinear ).
cnf(c_0_10,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(fof_simplification,[status(thm)],[lower_dimension3]) ).
cnf(c_0_11,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(fof_simplification,[status(thm)],[lower_dimension1]) ).
cnf(c_0_12,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(fof_simplification,[status(thm)],[lower_dimension2]) ).
cnf(c_0_13,plain,
( ~ colinear(X1,X2,X3)
| between(X3,X1,X2)
| between(X2,X3,X1)
| between(X1,X2,X3) ),
c_0_7 ).
cnf(c_0_14,negated_conjecture,
colinear(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_15,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
c_0_10 ).
cnf(c_0_16,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
c_0_11 ).
cnf(c_0_17,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
c_0_12 ).
cnf(c_0_18,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO011-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.46 % Computer : n010.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Sun Sep 20 08:16:39 UTC 2026
% 0.21/0.46 % CPUTime :
% 0.21/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 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
% 0.24/0.59 % Version: 3.5.1
% 0.24/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.59 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.59 % Starting sh5l with 300s (1) cores
% 0.24/0.59 % new_bool_3 with pid 2598509 completed with status 0
% 0.24/0.59 % Result found by new_bool_3
% 0.24/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.59 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.59 % Search class: FGUSM-FFMF33-SFFFFFNN
% 0.24/0.59 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.59 % Starting SubtermCWHack with 31s (1) cores
% 0.24/0.59 % SubtermCWHack with pid 2598515 completed with status 0
% 0.24/0.59 % Result found by SubtermCWHack
% 0.24/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.59 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.59 % Search class: FGUSM-FFMF33-SFFFFFNN
% 0.24/0.59 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.59 % Starting SubtermCWHack with 31s (1) cores
% 0.24/0.59 % Preprocessing time : 0.003 s
% 0.24/0.59
% 0.24/0.59 % Proof found!
% 0.24/0.59 % SZS status Unsatisfiable
% 0.24/0.59 % SZS output start CNFRefutation
% See solution above
% 0.24/0.59 % Parsed axioms : 96
% 0.24/0.59 % Removed by relevancy pruning/SinE : 14
% 0.24/0.59 % Initial clauses : 82
% 0.24/0.59 % Removed in clause preprocessing : 1
% 0.24/0.59 % Initial clauses in saturation : 81
% 0.24/0.59 % Processed clauses : 154
% 0.24/0.59 % ...of these trivial : 11
% 0.24/0.59 % ...subsumed : 43
% 0.24/0.59 % ...remaining for further processing : 100
% 0.24/0.59 % Other redundant clauses eliminated : 4
% 0.24/0.59 % Clauses deleted for lack of memory : 0
% 0.24/0.59 % Backward-subsumed : 0
% 0.24/0.59 % Backward-rewritten : 1
% 0.24/0.59 % Generated clauses : 490
% 0.24/0.59 % ...of the previous two non-redundant : 232
% 0.24/0.59 % ...aggressively subsumed : 0
% 0.24/0.59 % Contextual simplify-reflections : 0
% 0.24/0.59 % Paramodulations : 486
% 0.24/0.59 % Factorizations : 0
% 0.24/0.59 % NegExts : 0
% 0.24/0.59 % Equation resolutions : 4
% 0.24/0.59 % Disequality decompositions : 0
% 0.24/0.59 % Total rewrite steps : 269
% 0.24/0.59 % ...of those cached : 219
% 0.24/0.59 % Propositional unsat checks : 0
% 0.24/0.59 % Propositional check models : 0
% 0.24/0.59 % Propositional check unsatisfiable : 0
% 0.24/0.59 % Propositional clauses : 0
% 0.24/0.59 % Propositional clauses after purity: 0
% 0.24/0.59 % Propositional unsat core size : 0
% 0.24/0.59 % Propositional preprocessing time : 0.000
% 0.24/0.59 % Propositional encoding time : 0.000
% 0.24/0.59 % Propositional solver time : 0.000
% 0.24/0.59 % Success case prop preproc time : 0.000
% 0.24/0.59 % Success case prop encoding time : 0.000
% 0.24/0.59 % Success case prop solver time : 0.000
% 0.24/0.59 % Current number of processed clauses : 96
% 0.24/0.59 % Positive orientable unit clauses : 43
% 0.24/0.59 % Positive unorientable unit clauses: 0
% 0.24/0.59 % Negative unit clauses : 8
% 0.24/0.59 % Non-unit-clauses : 45
% 0.24/0.59 % Current number of unprocessed clauses: 157
% 0.24/0.59 % ...number of literals in the above : 425
% 0.24/0.59 % Current number of archived formulas : 0
% 0.24/0.59 % Current number of archived clauses : 1
% 0.24/0.59 % Clause-clause subsumption calls (NU) : 842
% 0.24/0.59 % Rec. Clause-clause subsumption calls : 751
% 0.24/0.59 % Non-unit clause-clause subsumptions : 43
% 0.24/0.59 % Unit Clause-clause subsumption calls : 7
% 0.24/0.59 % Rewrite failures with RHS unbound : 0
% 0.24/0.59 % BW rewrite match attempts : 273
% 0.24/0.59 % BW rewrite match successes : 1
% 0.24/0.59 % Condensation attempts : 0
% 0.24/0.59 % Condensation successes : 0
% 0.24/0.59 % Termbank termtop insertions : 5556
% 0.24/0.59 % Search garbage collected termcells : 263
% 0.24/0.59
% 0.24/0.59 % -------------------------------------------------
% 0.24/0.59 % User time : 0.019 s
% 0.24/0.59 % System time : 0.002 s
% 0.24/0.59 % Total time : 0.021 s
% 0.24/0.59 % Maximum resident set size: 3652 pages
% 0.24/0.59
% 0.24/0.59 % -------------------------------------------------
% 0.24/0.59 % User time : 0.024 s
% 0.24/0.59 % System time : 0.009 s
% 0.24/0.59 % Total time : 0.033 s
% 0.24/0.59 % Maximum resident set size: 4608 pages
% 0.24/0.59 % E exiting
%------------------------------------------------------------------------------