%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO014-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:26:52 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.46s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 8 RR)
% Number of literals : 18 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(transitivity_for_equidistance,axiom,
( ~ equidistant(X1,X2,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
cnf(reflexivity_for_equidistance,axiom,
equidistant(X1,X2,X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(prove_reflexivity,negated_conjecture,
~ equidistant(u,v,u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_reflexivity) ).
cnf(c_0_3,plain,
( ~ equidistant(X1,X2,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[transitivity_for_equidistance]) ).
cnf(c_0_4,plain,
( ~ equidistant(X1,X2,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X5,X6) ),
c_0_3 ).
cnf(c_0_5,axiom,
equidistant(X1,X2,X2,X1),
reflexivity_for_equidistance ).
cnf(c_0_6,negated_conjecture,
~ equidistant(u,v,u,v),
inference(fof_simplification,[status(thm)],[prove_reflexivity]) ).
cnf(c_0_7,plain,
( ~ equidistant(X4,X3,X1,X2)
| equidistant(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
~ equidistant(u,v,u,v),
c_0_6 ).
cnf(c_0_9,plain,
equidistant(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_7,c_0_5]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO014-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.39 % Computer : n001.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.40 % WCLimit : 300
% 0.11/5.40 % DateTime : Sun Sep 20 08:21:31 UTC 2026
% 0.15/5.40 % CPUTime :
% 0.15/5.40 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.44 Running first-order theorem proving
% 0.15/5.44 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
% 0.15/5.46 % Version: 3.5.1
% 0.15/5.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.46 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.46 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.46 % Starting sh5l with 300s (1) cores
% 0.15/5.46 % new_bool_3 with pid 402210 completed with status 0
% 0.15/5.46 % Result found by new_bool_3
% 0.15/5.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.46 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.46 % Search class: FGUSF-FFSF00-SFFFFFNN
% 0.15/5.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.46 % Starting SubtermCWHack with 31s (1) cores
% 0.15/5.46 % SubtermCWHack with pid 402213 completed with status 0
% 0.15/5.46 % Result found by SubtermCWHack
% 0.15/5.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.46 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.46 % Search class: FGUSF-FFSF00-SFFFFFNN
% 0.15/5.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.46 % Starting SubtermCWHack with 31s (1) cores
% 0.15/5.46 % Preprocessing time : 0.001 s
% 0.15/5.46
% 0.15/5.46 % Proof found!
% 0.15/5.46 % SZS status Unsatisfiable
% 0.15/5.46 % SZS output start CNFRefutation
% See solution above
% 0.15/5.46 % Parsed axioms : 19
% 0.15/5.46 % Removed by relevancy pruning/SinE : 12
% 0.15/5.46 % Initial clauses : 7
% 0.15/5.46 % Removed in clause preprocessing : 0
% 0.15/5.46 % Initial clauses in saturation : 7
% 0.15/5.46 % Processed clauses : 7
% 0.15/5.46 % ...of these trivial : 0
% 0.15/5.46 % ...subsumed : 0
% 0.15/5.46 % ...remaining for further processing : 7
% 0.15/5.46 % Other redundant clauses eliminated : 0
% 0.15/5.46 % Clauses deleted for lack of memory : 0
% 0.15/5.46 % Backward-subsumed : 0
% 0.15/5.46 % Backward-rewritten : 1
% 0.15/5.46 % Generated clauses : 4
% 0.15/5.46 % ...of the previous two non-redundant : 2
% 0.15/5.46 % ...aggressively subsumed : 0
% 0.15/5.46 % Contextual simplify-reflections : 0
% 0.15/5.46 % Paramodulations : 4
% 0.15/5.46 % Factorizations : 0
% 0.15/5.46 % NegExts : 0
% 0.15/5.46 % Equation resolutions : 0
% 0.15/5.46 % Disequality decompositions : 0
% 0.15/5.46 % Total rewrite steps : 1
% 0.15/5.46 % ...of those cached : 0
% 0.15/5.46 % Propositional unsat checks : 0
% 0.15/5.46 % Propositional check models : 0
% 0.15/5.46 % Propositional check unsatisfiable : 0
% 0.15/5.46 % Propositional clauses : 0
% 0.15/5.46 % Propositional clauses after purity: 0
% 0.15/5.46 % Propositional unsat core size : 0
% 0.15/5.46 % Propositional preprocessing time : 0.000
% 0.15/5.46 % Propositional encoding time : 0.000
% 0.15/5.46 % Propositional solver time : 0.000
% 0.15/5.46 % Success case prop preproc time : 0.000
% 0.15/5.46 % Success case prop encoding time : 0.000
% 0.15/5.46 % Success case prop solver time : 0.000
% 0.15/5.46 % Current number of processed clauses : 6
% 0.15/5.46 % Positive orientable unit clauses : 2
% 0.15/5.46 % Positive unorientable unit clauses: 0
% 0.15/5.46 % Negative unit clauses : 0
% 0.15/5.46 % Non-unit-clauses : 4
% 0.15/5.46 % Current number of unprocessed clauses: 2
% 0.15/5.46 % ...number of literals in the above : 15
% 0.15/5.46 % Current number of archived formulas : 0
% 0.15/5.46 % Current number of archived clauses : 1
% 0.15/5.46 % Clause-clause subsumption calls (NU) : 5
% 0.15/5.46 % Rec. Clause-clause subsumption calls : 5
% 0.15/5.46 % Non-unit clause-clause subsumptions : 0
% 0.15/5.46 % Unit Clause-clause subsumption calls : 2
% 0.15/5.46 % Rewrite failures with RHS unbound : 0
% 0.15/5.46 % BW rewrite match attempts : 7
% 0.15/5.46 % BW rewrite match successes : 1
% 0.15/5.46 % Condensation attempts : 0
% 0.15/5.46 % Condensation successes : 0
% 0.15/5.46 % Termbank termtop insertions : 391
% 0.15/5.46 % Search garbage collected termcells : 105
% 0.15/5.46
% 0.15/5.46 % -------------------------------------------------
% 0.15/5.46 % User time : 0.004 s
% 0.15/5.46 % System time : 0.000 s
% 0.15/5.46 % Total time : 0.004 s
% 0.15/5.46 % Maximum resident set size: 3656 pages
% 0.15/5.46
% 0.15/5.46 % -------------------------------------------------
% 0.15/5.46 % User time : 0.005 s
% 0.15/5.46 % System time : 0.006 s
% 0.15/5.46 % Total time : 0.010 s
% 0.15/5.46 % Maximum resident set size: 4864 pages
% 0.15/5.46 % E exiting
%------------------------------------------------------------------------------