%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO064-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:27:04 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 7 unt; 0 nHn; 13 RR)
% Number of literals : 19 ( 0 equ; 9 neg)
% Maximal clause size : 2 ( 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(t1,axiom,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
cnf(prove_uvw_colinear,negated_conjecture,
~ colinear(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_uvw_colinear) ).
cnf(colinearity1,axiom,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity1) ).
cnf(v_between_w_and_u,hypothesis,
between(w,v,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_w_and_u) ).
cnf(c_0_4,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[t1]) ).
cnf(c_0_5,negated_conjecture,
~ colinear(u,v,w),
inference(fof_simplification,[status(thm)],[prove_uvw_colinear]) ).
cnf(c_0_6,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[colinearity1]) ).
cnf(c_0_7,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
c_0_4 ).
cnf(c_0_8,hypothesis,
between(w,v,u),
v_between_w_and_u ).
cnf(c_0_9,negated_conjecture,
~ colinear(u,v,w),
c_0_5 ).
cnf(c_0_10,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
c_0_6 ).
cnf(c_0_11,hypothesis,
between(u,v,w),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO064-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.38 % Computer : n005.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sun Sep 20 09:15:09 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.43 Running first-order theorem proving
% 0.15/5.43 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
% 0.15/5.45 % Version: 3.5.1
% 0.15/5.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/5.45 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.45 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.45 % Starting sh5l with 300s (1) cores
% 0.15/5.45 % new_bool_3 with pid 831090 completed with status 0
% 0.15/5.45 % Result found by new_bool_3
% 0.15/5.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/5.45 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.45 % Search class: FGUSS-FFMF00-SFFFFFNN
% 0.15/5.45 % partial match(2): FGUSS-FFMF33-SFFFFFNN
% 0.15/5.45 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.45 % Starting SubtermCWHack with 28s (1) cores
% 0.15/5.45 % SubtermCWHack with pid 831094 completed with status 0
% 0.15/5.45 % Result found by SubtermCWHack
% 0.15/5.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/5.45 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.45 % Search class: FGUSS-FFMF00-SFFFFFNN
% 0.15/5.45 % partial match(2): FGUSS-FFMF33-SFFFFFNN
% 0.15/5.45 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.45 % Starting SubtermCWHack with 28s (1) cores
% 0.15/5.45 % Preprocessing time : 0.001 s
% 0.15/5.45
% 0.15/5.45 % Proof found!
% 0.15/5.45 % SZS status Unsatisfiable
% 0.15/5.45 % SZS output start CNFRefutation
% See solution above
% 0.15/5.45 % Parsed axioms : 89
% 0.15/5.45 % Removed by relevancy pruning/SinE : 62
% 0.15/5.45 % Initial clauses : 27
% 0.15/5.45 % Removed in clause preprocessing : 1
% 0.15/5.45 % Initial clauses in saturation : 26
% 0.15/5.45 % Processed clauses : 11
% 0.15/5.45 % ...of these trivial : 0
% 0.15/5.45 % ...subsumed : 0
% 0.15/5.45 % ...remaining for further processing : 11
% 0.15/5.45 % Other redundant clauses eliminated : 0
% 0.15/5.45 % Clauses deleted for lack of memory : 0
% 0.15/5.45 % Backward-subsumed : 0
% 0.15/5.45 % Backward-rewritten : 0
% 0.15/5.45 % Generated clauses : 7
% 0.15/5.45 % ...of the previous two non-redundant : 3
% 0.15/5.45 % ...aggressively subsumed : 0
% 0.15/5.45 % Contextual simplify-reflections : 0
% 0.15/5.45 % Paramodulations : 7
% 0.15/5.45 % Factorizations : 0
% 0.15/5.45 % NegExts : 0
% 0.15/5.45 % Equation resolutions : 0
% 0.15/5.45 % Disequality decompositions : 0
% 0.15/5.45 % Total rewrite steps : 4
% 0.15/5.45 % ...of those cached : 0
% 0.15/5.45 % Propositional unsat checks : 0
% 0.15/5.45 % Propositional check models : 0
% 0.15/5.45 % Propositional check unsatisfiable : 0
% 0.15/5.45 % Propositional clauses : 0
% 0.15/5.45 % Propositional clauses after purity: 0
% 0.15/5.45 % Propositional unsat core size : 0
% 0.15/5.45 % Propositional preprocessing time : 0.000
% 0.15/5.45 % Propositional encoding time : 0.000
% 0.15/5.45 % Propositional solver time : 0.000
% 0.15/5.45 % Success case prop preproc time : 0.000
% 0.15/5.45 % Success case prop encoding time : 0.000
% 0.15/5.45 % Success case prop solver time : 0.000
% 0.15/5.45 % Current number of processed clauses : 11
% 0.15/5.45 % Positive orientable unit clauses : 4
% 0.15/5.45 % Positive unorientable unit clauses: 0
% 0.15/5.45 % Negative unit clauses : 2
% 0.15/5.45 % Non-unit-clauses : 5
% 0.15/5.45 % Current number of unprocessed clauses: 18
% 0.15/5.45 % ...number of literals in the above : 66
% 0.15/5.45 % Current number of archived formulas : 0
% 0.15/5.45 % Current number of archived clauses : 0
% 0.15/5.45 % Clause-clause subsumption calls (NU) : 10
% 0.15/5.45 % Rec. Clause-clause subsumption calls : 10
% 0.15/5.45 % Non-unit clause-clause subsumptions : 0
% 0.15/5.45 % Unit Clause-clause subsumption calls : 0
% 0.15/5.45 % Rewrite failures with RHS unbound : 0
% 0.15/5.45 % BW rewrite match attempts : 3
% 0.15/5.45 % BW rewrite match successes : 0
% 0.15/5.45 % Condensation attempts : 0
% 0.15/5.45 % Condensation successes : 0
% 0.15/5.45 % Termbank termtop insertions : 1283
% 0.15/5.45 % Search garbage collected termcells : 345
% 0.15/5.45
% 0.15/5.45 % -------------------------------------------------
% 0.15/5.45 % User time : 0.004 s
% 0.15/5.45 % System time : 0.001 s
% 0.15/5.45 % Total time : 0.006 s
% 0.15/5.45 % Maximum resident set size: 3704 pages
% 0.15/5.45
% 0.15/5.45 % -------------------------------------------------
% 0.15/5.45 % User time : 0.008 s
% 0.15/5.45 % System time : 0.005 s
% 0.15/5.45 % Total time : 0.013 s
% 0.15/5.45 % Maximum resident set size: 4864 pages
% 0.15/5.45 % E exiting
%------------------------------------------------------------------------------