%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO085-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:27:08 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.45s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 5 unt; 2 nHn; 22 RR)
% Number of literals : 46 ( 9 equ; 26 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 31 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(theorem_2_7_1_68,negated_conjecture,
( ~ end_point(X2,sk14)
| ~ end_point(X1,sk14)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_1_68) ).
cnf(closed_defn_31,axiom,
( ~ end_point(X2,X1)
| ~ closed(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',closed_defn_31) ).
cnf(closed_defn_32,axiom,
( closed(X1)
| end_point(ax0_sk6(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',closed_defn_32) ).
cnf(open_defn_33,axiom,
( ~ open(X1)
| end_point(ax0_sk7(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',open_defn_33) ).
cnf(c6_41,axiom,
( ~ end_point(X1,X2)
| end_point(ax0_sk11(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c6_41) ).
cnf(theorem_2_7_1_67,negated_conjecture,
open(sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_1_67) ).
cnf(c6_42,axiom,
( X1 != ax0_sk11(X1,X2)
| ~ end_point(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c6_42) ).
cnf(c_0_7,negated_conjecture,
( ~ end_point(X2,sk14)
| ~ end_point(X1,sk14)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[theorem_2_7_1_68]) ).
cnf(c_0_8,plain,
( ~ end_point(X2,X1)
| ~ closed(X1) ),
inference(fof_simplification,[status(thm)],[closed_defn_31]) ).
cnf(c_0_9,negated_conjecture,
( ~ end_point(X2,sk14)
| ~ end_point(X1,sk14)
| X1 = X2 ),
c_0_7 ).
cnf(c_0_10,axiom,
( closed(X1)
| end_point(ax0_sk6(X1),X1) ),
closed_defn_32 ).
cnf(c_0_11,plain,
( ~ end_point(X2,X1)
| ~ closed(X1) ),
c_0_8 ).
cnf(c_0_12,plain,
( ~ open(X1)
| end_point(ax0_sk7(X1),X1) ),
inference(fof_simplification,[status(thm)],[open_defn_33]) ).
cnf(c_0_13,plain,
( ~ end_point(X1,X2)
| end_point(ax0_sk11(X1,X2),X2) ),
inference(fof_simplification,[status(thm)],[c6_41]) ).
cnf(c_0_14,negated_conjecture,
( ~ end_point(X1,sk14)
| X1 = ax0_sk6(sk14) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_15,plain,
( ~ open(X1)
| end_point(ax0_sk7(X1),X1) ),
c_0_12 ).
cnf(c_0_16,negated_conjecture,
open(sk14),
theorem_2_7_1_67 ).
cnf(c_0_17,plain,
( X1 != ax0_sk11(X1,X2)
| ~ end_point(X1,X2) ),
inference(fof_simplification,[status(thm)],[c6_42]) ).
cnf(c_0_18,plain,
( ~ end_point(X1,X2)
| end_point(ax0_sk11(X1,X2),X2) ),
c_0_13 ).
cnf(c_0_19,negated_conjecture,
ax0_sk7(sk14) = ax0_sk6(sk14),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_20,plain,
( X1 != ax0_sk11(X1,X2)
| ~ end_point(X1,X2) ),
c_0_17 ).
cnf(c_0_21,negated_conjecture,
( ~ end_point(X1,sk14)
| ax0_sk11(X1,sk14) = ax0_sk6(sk14) ),
inference(spm,[status(thm)],[c_0_14,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
end_point(ax0_sk6(sk14),sk14),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_19]),c_0_16])]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21])]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO085-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 10:19:20 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.45 % Version: 3.5.1
% 0.10/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.10/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 % Starting sh5l with 300s (1) cores
% 0.10/0.45 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 646770 completed with status 0
% 0.10/0.45 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.10/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.10/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.45 % No SInE strategy applied
% 0.10/0.45 % Search class: FGHSF-FFMF31-SFFFFFNN
% 0.10/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.10/0.45 % Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 166s (1) cores
% 0.10/0.45 % Starting new_bool_3 with 162s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 158s (1) cores
% 0.10/0.45 % SubtermCWHack with pid 646776 completed with status 0
% 0.10/0.45 % Result found by SubtermCWHack
% 0.10/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.10/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.45 % No SInE strategy applied
% 0.10/0.45 % Search class: FGHSF-FFMF31-SFFFFFNN
% 0.10/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.45 % Preprocessing time : 0.002 s
% 0.10/0.45
% 0.10/0.45 % Proof found!
% 0.10/0.45 % SZS status Unsatisfiable
% 0.10/0.45 % SZS output start CNFRefutation
% See solution above
% 0.10/0.45 % Parsed axioms : 50
% 0.10/0.45 % Removed by relevancy pruning/SinE : 0
% 0.10/0.45 % Initial clauses : 50
% 0.10/0.45 % Removed in clause preprocessing : 5
% 0.10/0.45 % Initial clauses in saturation : 45
% 0.10/0.45 % Processed clauses : 42
% 0.10/0.45 % ...of these trivial : 1
% 0.10/0.45 % ...subsumed : 6
% 0.10/0.45 % ...remaining for further processing : 35
% 0.10/0.45 % Other redundant clauses eliminated : 1
% 0.10/0.45 % Clauses deleted for lack of memory : 0
% 0.10/0.45 % Backward-subsumed : 1
% 0.10/0.45 % Backward-rewritten : 1
% 0.10/0.45 % Generated clauses : 41
% 0.10/0.45 % ...of the previous two non-redundant : 30
% 0.10/0.45 % ...aggressively subsumed : 0
% 0.10/0.45 % Contextual simplify-reflections : 1
% 0.10/0.45 % Paramodulations : 40
% 0.10/0.45 % Factorizations : 0
% 0.10/0.45 % NegExts : 0
% 0.10/0.45 % Equation resolutions : 1
% 0.10/0.45 % Disequality decompositions : 0
% 0.10/0.45 % Total rewrite steps : 13
% 0.10/0.45 % ...of those cached : 9
% 0.10/0.45 % Propositional unsat checks : 0
% 0.10/0.45 % Propositional check models : 0
% 0.10/0.45 % Propositional check unsatisfiable : 0
% 0.10/0.45 % Propositional clauses : 0
% 0.10/0.45 % Propositional clauses after purity: 0
% 0.10/0.45 % Propositional unsat core size : 0
% 0.10/0.45 % Propositional preprocessing time : 0.000
% 0.10/0.45 % Propositional encoding time : 0.000
% 0.10/0.45 % Propositional solver time : 0.000
% 0.10/0.45 % Success case prop preproc time : 0.000
% 0.10/0.45 % Success case prop encoding time : 0.000
% 0.10/0.45 % Success case prop solver time : 0.000
% 0.10/0.45 % Current number of processed clauses : 33
% 0.10/0.45 % Positive orientable unit clauses : 7
% 0.10/0.45 % Positive unorientable unit clauses: 0
% 0.10/0.45 % Negative unit clauses : 2
% 0.10/0.45 % Non-unit-clauses : 24
% 0.10/0.45 % Current number of unprocessed clauses: 27
% 0.10/0.45 % ...number of literals in the above : 104
% 0.10/0.45 % Current number of archived formulas : 0
% 0.10/0.45 % Current number of archived clauses : 2
% 0.10/0.45 % Clause-clause subsumption calls (NU) : 134
% 0.10/0.45 % Rec. Clause-clause subsumption calls : 118
% 0.10/0.45 % Non-unit clause-clause subsumptions : 7
% 0.10/0.45 % Unit Clause-clause subsumption calls : 11
% 0.10/0.45 % Rewrite failures with RHS unbound : 0
% 0.10/0.45 % BW rewrite match attempts : 2
% 0.10/0.45 % BW rewrite match successes : 1
% 0.10/0.45 % Condensation attempts : 0
% 0.10/0.45 % Condensation successes : 0
% 0.10/0.45 % Termbank termtop insertions : 2023
% 0.10/0.45 % Search garbage collected termcells : 132
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.005 s
% 0.10/0.45 % System time : 0.003 s
% 0.10/0.45 % Total time : 0.008 s
% 0.10/0.45 % Maximum resident set size: 3680 pages
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.021 s
% 0.10/0.45 % System time : 0.013 s
% 0.10/0.45 % Total time : 0.034 s
% 0.10/0.45 % Maximum resident set size: 4864 pages
% 0.10/0.45 % E exiting
%------------------------------------------------------------------------------