%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO094-1 : 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 : n002.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 12:27:10 PM UTC 2026
% Result : Unsatisfiable 0.24s 15.64s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of clauses : 49 ( 15 unt; 7 nHn; 47 RR)
% Number of literals : 122 ( 0 equ; 71 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 88 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(end_point_defn_14,axiom,
( ~ incident_c(X1,X4)
| ~ incident_c(X1,X3)
| ~ part_of(X4,X2)
| ~ part_of(X3,X2)
| ~ end_point(X1,X2)
| part_of(X4,X3)
| part_of(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_14) ).
cnf(meet_defn_25,axiom,
( ~ meet(X1,X2,X3)
| incident_c(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_25) ).
cnf(proposition_2_14_3_70,negated_conjecture,
end_point(sk17,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3_70) ).
cnf(proposition_2_14_3_67,negated_conjecture,
meet(sk17,sk15,sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3_67) ).
cnf(meet_defn_24,axiom,
( ~ meet(X1,X2,X3)
| incident_c(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_24) ).
cnf(proposition_2_14_3_69,negated_conjecture,
part_of(sk16,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3_69) ).
cnf(meet_defn_26,axiom,
( ~ incident_c(X4,X3)
| ~ incident_c(X4,X2)
| ~ meet(X1,X2,X3)
| end_point(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_26) ).
cnf(part_of_defn_1,axiom,
( ~ incident_c(X3,X1)
| ~ part_of(X1,X2)
| incident_c(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).
cnf(proposition_2_14_3_68,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3_68) ).
cnf(inner_point_defn_21,axiom,
( ~ inner_point(X1,X2)
| incident_c(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_21) ).
cnf(inner_point_defn_22,axiom,
( ~ end_point(X1,X2)
| ~ inner_point(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_22) ).
cnf(meet_defn_27,axiom,
( ~ incident_c(X4,X3)
| ~ incident_c(X4,X2)
| ~ meet(X1,X2,X3)
| end_point(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_27) ).
cnf(c3_37,axiom,
inner_point(ax0_sk8(X1),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c3_37) ).
cnf(c_0_13,plain,
( ~ incident_c(X1,X4)
| ~ incident_c(X1,X3)
| ~ part_of(X4,X2)
| ~ part_of(X3,X2)
| ~ end_point(X1,X2)
| part_of(X4,X3)
| part_of(X3,X4) ),
inference(fof_simplification,[status(thm)],[end_point_defn_14]) ).
cnf(c_0_14,plain,
( ~ meet(X1,X2,X3)
| incident_c(X1,X3) ),
inference(fof_simplification,[status(thm)],[meet_defn_25]) ).
cnf(c_0_15,plain,
( ~ incident_c(X1,X4)
| ~ incident_c(X1,X3)
| ~ part_of(X4,X2)
| ~ part_of(X3,X2)
| ~ end_point(X1,X2)
| part_of(X4,X3)
| part_of(X3,X4) ),
c_0_13 ).
cnf(c_0_16,negated_conjecture,
end_point(sk17,sk14),
proposition_2_14_3_70 ).
cnf(c_0_17,plain,
( ~ meet(X1,X2,X3)
| incident_c(X1,X3) ),
c_0_14 ).
cnf(c_0_18,negated_conjecture,
meet(sk17,sk15,sk16),
proposition_2_14_3_67 ).
cnf(c_0_19,plain,
( ~ meet(X1,X2,X3)
| incident_c(X1,X2) ),
inference(fof_simplification,[status(thm)],[meet_defn_24]) ).
cnf(c_0_20,negated_conjecture,
( ~ part_of(X2,sk14)
| ~ part_of(X1,sk14)
| ~ incident_c(sk17,X2)
| ~ incident_c(sk17,X1)
| part_of(X2,X1)
| part_of(X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
incident_c(sk17,sk16),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
part_of(sk16,sk14),
proposition_2_14_3_69 ).
cnf(c_0_23,plain,
( ~ meet(X1,X2,X3)
| incident_c(X1,X2) ),
c_0_19 ).
cnf(c_0_24,plain,
( ~ incident_c(X4,X3)
| ~ incident_c(X4,X2)
| ~ meet(X1,X2,X3)
| end_point(X4,X2) ),
inference(fof_simplification,[status(thm)],[meet_defn_26]) ).
cnf(c_0_25,plain,
( ~ incident_c(X3,X1)
| ~ part_of(X1,X2)
| incident_c(X3,X2) ),
inference(fof_simplification,[status(thm)],[part_of_defn_1]) ).
cnf(c_0_26,negated_conjecture,
( ~ part_of(X1,sk14)
| ~ incident_c(sk17,X1)
| part_of(sk16,X1)
| part_of(X1,sk16) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_27,negated_conjecture,
incident_c(sk17,sk15),
inference(spm,[status(thm)],[c_0_23,c_0_18]) ).
cnf(c_0_28,negated_conjecture,
part_of(sk15,sk14),
proposition_2_14_3_68 ).
cnf(c_0_29,plain,
( ~ incident_c(X4,X3)
| ~ incident_c(X4,X2)
| ~ meet(X1,X2,X3)
| end_point(X4,X2) ),
c_0_24 ).
cnf(c_0_30,plain,
( ~ inner_point(X1,X2)
| incident_c(X1,X2) ),
inference(fof_simplification,[status(thm)],[inner_point_defn_21]) ).
cnf(c_0_31,plain,
( ~ end_point(X1,X2)
| ~ inner_point(X1,X2) ),
inference(fof_simplification,[status(thm)],[inner_point_defn_22]) ).
cnf(c_0_32,plain,
( ~ incident_c(X3,X1)
| ~ part_of(X1,X2)
| incident_c(X3,X2) ),
c_0_25 ).
cnf(c_0_33,negated_conjecture,
( part_of(sk15,sk16)
| part_of(sk16,sk15) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_34,negated_conjecture,
( ~ incident_c(X1,sk15)
| ~ incident_c(X1,sk16)
| end_point(X1,sk15) ),
inference(spm,[status(thm)],[c_0_29,c_0_18]) ).
cnf(c_0_35,plain,
( ~ inner_point(X1,X2)
| incident_c(X1,X2) ),
c_0_30 ).
cnf(c_0_36,plain,
( ~ end_point(X1,X2)
| ~ inner_point(X1,X2) ),
c_0_31 ).
cnf(c_0_37,negated_conjecture,
( ~ incident_c(X1,sk15)
| part_of(sk16,sk15)
| incident_c(X1,sk16) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,negated_conjecture,
( ~ incident_c(X1,sk16)
| ~ inner_point(X1,sk15) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_39,plain,
( ~ incident_c(X4,X3)
| ~ incident_c(X4,X2)
| ~ meet(X1,X2,X3)
| end_point(X4,X3) ),
inference(fof_simplification,[status(thm)],[meet_defn_27]) ).
cnf(c_0_40,negated_conjecture,
( ~ inner_point(X1,sk15)
| part_of(sk16,sk15) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_35]),c_0_38]) ).
cnf(c_0_41,axiom,
inner_point(ax0_sk8(X1),X1),
c3_37 ).
cnf(c_0_42,plain,
( ~ incident_c(X4,X3)
| ~ incident_c(X4,X2)
| ~ meet(X1,X2,X3)
| end_point(X4,X3) ),
c_0_39 ).
cnf(c_0_43,negated_conjecture,
part_of(sk16,sk15),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,negated_conjecture,
( ~ incident_c(X1,sk15)
| ~ incident_c(X1,sk16)
| end_point(X1,sk16) ),
inference(spm,[status(thm)],[c_0_42,c_0_18]) ).
cnf(c_0_45,negated_conjecture,
( ~ incident_c(X1,sk16)
| incident_c(X1,sk15) ),
inference(spm,[status(thm)],[c_0_32,c_0_43]) ).
cnf(c_0_46,negated_conjecture,
( ~ incident_c(X1,sk16)
| end_point(X1,sk16) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_47,negated_conjecture,
~ inner_point(X1,sk16),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_35]),c_0_36]) ).
cnf(c_0_48,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_47,c_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO094-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/15.47 % Computer : n002.cluster.edu
% 0.20/15.47 % Model : x86_64 x86_64
% 0.20/15.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/15.47 % Memory : 8046.5625MB
% 0.20/15.47 % OS : Linux 6.8.0-71-generic
% 0.20/15.47 % CPULimit : 300
% 0.20/15.47 % WCLimit : 300
% 0.20/15.47 % DateTime : Sun Sep 20 10:45:32 UTC 2026
% 0.20/15.47 % CPUTime :
% 0.20/15.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/15.52 Running first-order theorem proving
% 0.24/15.52 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
% 0.24/15.64 % Version: 3.5.1
% 0.24/15.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/15.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/15.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/15.64 % Starting new_bool_3 with 300s (1) cores
% 0.24/15.64 % Starting new_bool_1 with 300s (1) cores
% 0.24/15.64 % Starting sh5l with 300s (1) cores
% 0.24/15.64 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 810012 completed with status 0
% 0.24/15.64 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.24/15.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/15.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/15.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/15.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/15.64 % No SInE strategy applied
% 0.24/15.64 % Search class: FGHSF-FFMS31-SFFFFFNN
% 0.24/15.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/15.64 % Starting SubtermCWHack with 136s (1) cores
% 0.24/15.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.24/15.64 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with 209s (1) cores
% 0.24/15.64 % Starting new_bool_3 with 189s (1) cores
% 0.24/15.64 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.24/15.64 % G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with pid 810019 completed with status 0
% 0.24/15.64 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S0Y
% 0.24/15.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/15.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/15.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/15.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/15.64 % No SInE strategy applied
% 0.24/15.64 % Search class: FGHSF-FFMS31-SFFFFFNN
% 0.24/15.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/15.64 % Starting SubtermCWHack with 136s (1) cores
% 0.24/15.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.24/15.64 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with 209s (1) cores
% 0.24/15.64 % Preprocessing time : 0.003 s
% 0.24/15.64
% 0.24/15.64 % Proof found!
% 0.24/15.64 % SZS status Unsatisfiable
% 0.24/15.64 % SZS output start CNFRefutation
% See solution above
% 0.24/15.64 % Parsed axioms : 52
% 0.24/15.64 % Removed by relevancy pruning/SinE : 0
% 0.24/15.64 % Initial clauses : 52
% 0.24/15.64 % Removed in clause preprocessing : 5
% 0.24/15.64 % Initial clauses in saturation : 47
% 0.24/15.64 % Processed clauses : 425
% 0.24/15.64 % ...of these trivial : 0
% 0.24/15.64 % ...subsumed : 161
% 0.24/15.64 % ...remaining for further processing : 264
% 0.24/15.64 % Other redundant clauses eliminated : 14
% 0.24/15.64 % Clauses deleted for lack of memory : 0
% 0.24/15.64 % Backward-subsumed : 53
% 0.24/15.64 % Backward-rewritten : 11
% 0.24/15.64 % Generated clauses : 1249
% 0.24/15.64 % ...of the previous two non-redundant : 1073
% 0.24/15.64 % ...aggressively subsumed : 0
% 0.24/15.64 % Contextual simplify-reflections : 19
% 0.24/15.64 % Paramodulations : 1213
% 0.24/15.64 % Factorizations : 22
% 0.24/15.64 % NegExts : 0
% 0.24/15.64 % Equation resolutions : 14
% 0.24/15.64 % Disequality decompositions : 0
% 0.24/15.64 % Total rewrite steps : 156
% 0.24/15.64 % ...of those cached : 141
% 0.24/15.64 % Propositional unsat checks : 0
% 0.24/15.64 % Propositional check models : 0
% 0.24/15.64 % Propositional check unsatisfiable : 0
% 0.24/15.64 % Propositional clauses : 0
% 0.24/15.64 % Propositional clauses after purity: 0
% 0.24/15.64 % Propositional unsat core size : 0
% 0.24/15.64 % Propositional preprocessing time : 0.000
% 0.24/15.64 % Propositional encoding time : 0.000
% 0.24/15.64 % Propositional solver time : 0.000
% 0.24/15.64 % Success case prop preproc time : 0.000
% 0.24/15.64 % Success case prop encoding time : 0.000
% 0.24/15.64 % Success case prop solver time : 0.000
% 0.24/15.64 % Current number of processed clauses : 196
% 0.24/15.64 % Positive orientable unit clauses : 16
% 0.24/15.64 % Positive unorientable unit clauses: 0
% 0.24/15.64 % Negative unit clauses : 8
% 0.24/15.64 % Non-unit-clauses : 172
% 0.24/15.64 % Current number of unprocessed clauses: 660
% 0.24/15.64 % ...number of literals in the above : 3650
% 0.24/15.64 % Current number of archived formulas : 0
% 0.24/15.64 % Current number of archived clauses : 64
% 0.24/15.64 % Clause-clause subsumption calls (NU) : 8494
% 0.24/15.64 % Rec. Clause-clause subsumption calls : 3925
% 0.24/15.64 % Non-unit clause-clause subsumptions : 183
% 0.24/15.64 % Unit Clause-clause subsumption calls : 438
% 0.24/15.64 % Rewrite failures with RHS unbound : 0
% 0.24/15.64 % BW rewrite match attempts : 22
% 0.24/15.64 % BW rewrite match successes : 5
% 0.24/15.64 % Condensation attempts : 0
% 0.24/15.64 % Condensation successes : 0
% 0.24/15.64 % Termbank termtop insertions : 22785
% 0.24/15.64 % Search garbage collected termcells : 126
% 0.24/15.64
% 0.24/15.64 % -------------------------------------------------
% 0.24/15.64 % User time : 0.073 s
% 0.24/15.64 % System time : 0.008 s
% 0.24/15.64 % Total time : 0.080 s
% 0.24/15.64 % Maximum resident set size: 3680 pages
% 0.24/15.64
% 0.24/15.64 % -------------------------------------------------
% 0.24/15.64 % User time : 0.257 s
% 0.24/15.64 % System time : 0.029 s
% 0.24/15.64 % Total time : 0.286 s
% 0.24/15.64 % Maximum resident set size: 4608 pages
% 0.24/15.64 % E exiting
%------------------------------------------------------------------------------