%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO059-2 : TPTP v9.3.1. Released v1.0.0.
% 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 12:27:03 PM UTC 2026
% Result : Unsatisfiable 0.18s 6.37s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of clauses : 23 ( 18 unt; 0 nHn; 9 RR)
% Number of literals : 31 ( 2 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 58 ( 2 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/sandbox2/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
cnf(reflexivity_for_equidistance,axiom,
equidistant(X1,X2,X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(reflection,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-2.ax',reflection) ).
cnf(prove_congruence,negated_conjecture,
~ equidistant(v,u,v,reflection(reflection(u,v),v)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_congruence) ).
cnf(c_0_5,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_6,plain,
( ~ equidistant(X1,X2,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X5,X6) ),
c_0_5 ).
cnf(c_0_7,axiom,
equidistant(X1,X2,X2,X1),
reflexivity_for_equidistance ).
cnf(c_0_8,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_9,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
reflection ).
cnf(c_0_10,plain,
( ~ equidistant(X4,X3,X1,X2)
| equidistant(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,plain,
equidistant(X1,reflection(X2,X1),X2,X1),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
equidistant(X1,X2,reflection(X1,X2),X2),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,plain,
equidistant(reflection(X1,X2),X2,X2,X1),
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_14,plain,
( ~ equidistant(X4,reflection(X3,X4),X1,X2)
| equidistant(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_6,c_0_11]) ).
cnf(c_0_15,plain,
equidistant(X1,X2,X1,reflection(X2,X1)),
inference(spm,[status(thm)],[c_0_10,c_0_13]) ).
cnf(c_0_16,plain,
equidistant(X1,reflection(reflection(X2,X1),X1),X2,X1),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
equidistant(X1,X2,reflection(reflection(X1,X2),X2),X2),
inference(spm,[status(thm)],[c_0_10,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
~ equidistant(v,u,v,reflection(reflection(u,v),v)),
inference(fof_simplification,[status(thm)],[prove_congruence]) ).
cnf(c_0_19,plain,
equidistant(reflection(reflection(X1,X2),X2),X2,X2,X1),
inference(spm,[status(thm)],[c_0_10,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
~ equidistant(v,u,v,reflection(reflection(u,v),v)),
c_0_18 ).
cnf(c_0_21,plain,
equidistant(X1,X2,X1,reflection(reflection(X2,X1),X1)),
inference(spm,[status(thm)],[c_0_10,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO059-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/6.24 % Computer : n010.cluster.edu
% 0.12/6.24 % Model : x86_64 x86_64
% 0.12/6.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/6.24 % Memory : 8046.5625MB
% 0.12/6.24 % OS : Linux 6.8.0-71-generic
% 0.12/6.25 % CPULimit : 300
% 0.12/6.25 % WCLimit : 300
% 0.12/6.25 % DateTime : Sun Sep 20 08:58:55 UTC 2026
% 0.12/6.25 % CPUTime :
% 0.12/6.25 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/6.32 Running first-order theorem proving
% 0.18/6.32 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
% 0.18/6.37 % Version: 3.5.1
% 0.18/6.37 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/6.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/6.37 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/6.37 % Starting new_bool_3 with 300s (1) cores
% 0.18/6.37 % Starting new_bool_1 with 300s (1) cores
% 0.18/6.37 % Starting sh5l with 300s (1) cores
% 0.18/6.37 % sh5l with pid 2625122 completed with status 0
% 0.18/6.37 % Result found by sh5l
% 0.18/6.37 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/6.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/6.37 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/6.37 % Starting new_bool_3 with 300s (1) cores
% 0.18/6.37 % Starting new_bool_1 with 300s (1) cores
% 0.18/6.37 % Starting sh5l with 300s (1) cores
% 0.18/6.37 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.18/6.37 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/6.37 % Search class: FGUSM-FFMF33-SFFFFFNN
% 0.18/6.37 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.18/6.37 % Starting SubtermCWHack with 28s (1) cores
% 0.18/6.37 % SubtermCWHack with pid 2625129 completed with status 0
% 0.18/6.37 % Result found by SubtermCWHack
% 0.18/6.37 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/6.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/6.37 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/6.37 % Starting new_bool_3 with 300s (1) cores
% 0.18/6.37 % Starting new_bool_1 with 300s (1) cores
% 0.18/6.37 % Starting sh5l with 300s (1) cores
% 0.18/6.37 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.18/6.37 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/6.37 % Search class: FGUSM-FFMF33-SFFFFFNN
% 0.18/6.37 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.18/6.37 % Starting SubtermCWHack with 28s (1) cores
% 0.18/6.37 % Preprocessing time : 0.001 s
% 0.18/6.37
% 0.18/6.37 % Proof found!
% 0.18/6.37 % SZS status Unsatisfiable
% 0.18/6.37 % SZS output start CNFRefutation
% See solution above
% 0.18/6.37 % Parsed axioms : 20
% 0.18/6.37 % Removed by relevancy pruning/SinE : 5
% 0.18/6.37 % Initial clauses : 15
% 0.18/6.37 % Removed in clause preprocessing : 0
% 0.18/6.37 % Initial clauses in saturation : 15
% 0.18/6.37 % Processed clauses : 52
% 0.18/6.37 % ...of these trivial : 6
% 0.18/6.37 % ...subsumed : 0
% 0.18/6.37 % ...remaining for further processing : 46
% 0.18/6.37 % Other redundant clauses eliminated : 0
% 0.18/6.37 % Clauses deleted for lack of memory : 0
% 0.18/6.37 % Backward-subsumed : 0
% 0.18/6.37 % Backward-rewritten : 1
% 0.18/6.37 % Generated clauses : 210
% 0.18/6.37 % ...of the previous two non-redundant : 117
% 0.18/6.37 % ...aggressively subsumed : 0
% 0.18/6.37 % Contextual simplify-reflections : 0
% 0.18/6.37 % Paramodulations : 210
% 0.18/6.37 % Factorizations : 0
% 0.18/6.37 % NegExts : 0
% 0.18/6.37 % Equation resolutions : 0
% 0.18/6.37 % Disequality decompositions : 0
% 0.18/6.37 % Total rewrite steps : 150
% 0.18/6.37 % ...of those cached : 114
% 0.18/6.37 % Propositional unsat checks : 0
% 0.18/6.37 % Propositional check models : 0
% 0.18/6.37 % Propositional check unsatisfiable : 0
% 0.18/6.37 % Propositional clauses : 0
% 0.18/6.37 % Propositional clauses after purity: 0
% 0.18/6.37 % Propositional unsat core size : 0
% 0.18/6.37 % Propositional preprocessing time : 0.000
% 0.18/6.37 % Propositional encoding time : 0.000
% 0.18/6.37 % Propositional solver time : 0.000
% 0.18/6.37 % Success case prop preproc time : 0.000
% 0.18/6.37 % Success case prop encoding time : 0.000
% 0.18/6.37 % Success case prop solver time : 0.000
% 0.18/6.37 % Current number of processed clauses : 45
% 0.18/6.37 % Positive orientable unit clauses : 32
% 0.18/6.37 % Positive unorientable unit clauses: 0
% 0.18/6.37 % Negative unit clauses : 3
% 0.18/6.37 % Non-unit-clauses : 10
% 0.18/6.37 % Current number of unprocessed clauses: 80
% 0.18/6.37 % ...number of literals in the above : 332
% 0.18/6.37 % Current number of archived formulas : 0
% 0.18/6.37 % Current number of archived clauses : 1
% 0.18/6.37 % Clause-clause subsumption calls (NU) : 102
% 0.18/6.37 % Rec. Clause-clause subsumption calls : 53
% 0.18/6.37 % Non-unit clause-clause subsumptions : 0
% 0.18/6.37 % Unit Clause-clause subsumption calls : 5
% 0.18/6.37 % Rewrite failures with RHS unbound : 0
% 0.18/6.37 % BW rewrite match attempts : 337
% 0.18/6.37 % BW rewrite match successes : 1
% 0.18/6.37 % Condensation attempts : 0
% 0.18/6.37 % Condensation successes : 0
% 0.18/6.37 % Termbank termtop insertions : 2431
% 0.18/6.37 % Search garbage collected termcells : 91
% 0.18/6.37
% 0.18/6.37 % -------------------------------------------------
% 0.18/6.37 % User time : 0.008 s
% 0.18/6.37 % System time : 0.002 s
% 0.18/6.37 % Total time : 0.009 s
% 0.18/6.37 % Maximum resident set size: 3916 pages
% 0.18/6.37
% 0.18/6.37 % -------------------------------------------------
% 0.18/6.37 % User time : 0.011 s
% 0.18/6.37 % System time : 0.008 s
% 0.18/6.37 % Total time : 0.019 s
% 0.18/6.37 % Maximum resident set size: 4864 pages
% 0.18/6.37 % E exiting
%------------------------------------------------------------------------------