%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GEO112-1 : 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 : n009.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 12:29:08 PM UTC 2026
% Result : Unsatisfiable 0.76s 0.66s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 31 ( 12 unt; 4 nHn; 31 RR)
% Number of literals : 65 ( 8 equ; 37 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 81 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(between_c_defn_5,axiom,
( ~ between_c(X1,X2,X3,X4)
| inner_point(X3,ax1_sk1(X4,X3,X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-1.ax',between_c_defn_5) ).
cnf(between_c_defn_6,axiom,
( ~ inner_point(X5,X3)
| ~ end_point(X2,X3)
| ~ end_point(X1,X3)
| ~ part_of(X3,X4)
| between_c(X4,X1,X5,X2)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-1.ax',between_c_defn_6) ).
cnf(theorem_3_8_2_77,negated_conjecture,
between_c(sk15,sk16,sk17,sk18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_8_2_77) ).
cnf(between_c_defn_3,axiom,
( ~ between_c(X1,X2,X3,X4)
| end_point(X2,ax1_sk1(X4,X3,X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-1.ax',between_c_defn_3) ).
cnf(between_c_defn_4,axiom,
( ~ between_c(X1,X2,X3,X4)
| end_point(X4,ax1_sk1(X4,X3,X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-1.ax',between_c_defn_4) ).
cnf(between_c_defn_2,axiom,
( ~ between_c(X1,X2,X3,X4)
| part_of(ax1_sk1(X4,X3,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-1.ax',between_c_defn_2) ).
cnf(theorem_3_8_2_78,negated_conjecture,
~ between_c(sk15,sk18,sk17,sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_8_2_78) ).
cnf(between_c_defn_1,axiom,
( X2 != X4
| ~ between_c(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-1.ax',between_c_defn_1) ).
cnf(c_0_8,plain,
( ~ between_c(X1,X2,X3,X4)
| inner_point(X3,ax1_sk1(X4,X3,X2,X1)) ),
inference(fof_simplification,[status(thm)],[between_c_defn_5]) ).
cnf(c_0_9,plain,
( ~ inner_point(X5,X3)
| ~ end_point(X2,X3)
| ~ end_point(X1,X3)
| ~ part_of(X3,X4)
| between_c(X4,X1,X5,X2)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[between_c_defn_6]) ).
cnf(c_0_10,plain,
( ~ between_c(X1,X2,X3,X4)
| inner_point(X3,ax1_sk1(X4,X3,X2,X1)) ),
c_0_8 ).
cnf(c_0_11,negated_conjecture,
between_c(sk15,sk16,sk17,sk18),
theorem_3_8_2_77 ).
cnf(c_0_12,plain,
( ~ between_c(X1,X2,X3,X4)
| end_point(X2,ax1_sk1(X4,X3,X2,X1)) ),
inference(fof_simplification,[status(thm)],[between_c_defn_3]) ).
cnf(c_0_13,plain,
( ~ between_c(X1,X2,X3,X4)
| end_point(X4,ax1_sk1(X4,X3,X2,X1)) ),
inference(fof_simplification,[status(thm)],[between_c_defn_4]) ).
cnf(c_0_14,plain,
( ~ between_c(X1,X2,X3,X4)
| part_of(ax1_sk1(X4,X3,X2,X1),X1) ),
inference(fof_simplification,[status(thm)],[between_c_defn_2]) ).
cnf(c_0_15,negated_conjecture,
~ between_c(sk15,sk18,sk17,sk16),
inference(fof_simplification,[status(thm)],[theorem_3_8_2_78]) ).
cnf(c_0_16,plain,
( ~ inner_point(X5,X3)
| ~ end_point(X2,X3)
| ~ end_point(X1,X3)
| ~ part_of(X3,X4)
| between_c(X4,X1,X5,X2)
| X1 = X2 ),
c_0_9 ).
cnf(c_0_17,negated_conjecture,
inner_point(sk17,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_18,plain,
( ~ between_c(X1,X2,X3,X4)
| end_point(X2,ax1_sk1(X4,X3,X2,X1)) ),
c_0_12 ).
cnf(c_0_19,plain,
( ~ between_c(X1,X2,X3,X4)
| end_point(X4,ax1_sk1(X4,X3,X2,X1)) ),
c_0_13 ).
cnf(c_0_20,plain,
( ~ between_c(X1,X2,X3,X4)
| part_of(ax1_sk1(X4,X3,X2,X1),X1) ),
c_0_14 ).
cnf(c_0_21,plain,
( X2 != X4
| ~ between_c(X1,X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[between_c_defn_1]) ).
cnf(c_0_22,negated_conjecture,
~ between_c(sk15,sk18,sk17,sk16),
c_0_15 ).
cnf(c_0_23,negated_conjecture,
( ~ part_of(ax1_sk1(sk18,sk17,sk16,sk15),X3)
| ~ end_point(X1,ax1_sk1(sk18,sk17,sk16,sk15))
| ~ end_point(X2,ax1_sk1(sk18,sk17,sk16,sk15))
| between_c(X3,X1,sk17,X2)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,negated_conjecture,
end_point(sk16,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(spm,[status(thm)],[c_0_18,c_0_11]) ).
cnf(c_0_25,negated_conjecture,
end_point(sk18,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(spm,[status(thm)],[c_0_19,c_0_11]) ).
cnf(c_0_26,negated_conjecture,
part_of(ax1_sk1(sk18,sk17,sk16,sk15),sk15),
inference(spm,[status(thm)],[c_0_20,c_0_11]) ).
cnf(c_0_27,plain,
( X2 != X4
| ~ between_c(X1,X2,X3,X4) ),
c_0_21 ).
cnf(c_0_28,negated_conjecture,
sk18 = sk16,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]),c_0_26])]) ).
cnf(c_0_29,plain,
~ between_c(X1,X2,X3,X2),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_28]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO112-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n009.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Sun Sep 20 11:28:57 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.52 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
% 0.76/0.66 % Version: 3.5.1
% 0.76/0.66 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.76/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.76/0.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.76/0.66 % Starting new_bool_3 with 300s (1) cores
% 0.76/0.66 % Starting new_bool_1 with 300s (1) cores
% 0.76/0.66 % Starting sh5l with 300s (1) cores
% 0.76/0.66 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3406712 completed with status 0
% 0.76/0.66 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.76/0.66 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.76/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.76/0.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.76/0.66 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.76/0.66 % No SInE strategy applied
% 0.76/0.66 % Search class: FGHSF-FFMF32-SFFFFFNN
% 0.76/0.66 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.76/0.66 % Starting SubtermCWHack with 136s (1) cores
% 0.76/0.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.76/0.66 % Starting G-E--_107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.76/0.66 % Starting new_bool_3 with 136s (1) cores
% 0.76/0.66 % Starting new_bool_1 with 136s (1) cores
% 0.76/0.66 % G-E--_107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y with pid 3406720 completed with status 0
% 0.76/0.66 % Result found by G-E--_107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 0.76/0.66 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.76/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.76/0.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.76/0.66 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.76/0.66 % No SInE strategy applied
% 0.76/0.66 % Search class: FGHSF-FFMF32-SFFFFFNN
% 0.76/0.66 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.76/0.66 % Starting SubtermCWHack with 136s (1) cores
% 0.76/0.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.76/0.66 % Starting G-E--_107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.76/0.66 % Preprocessing time : 0.003 s
% 0.76/0.66 % Presaturation interreduction done
% 0.76/0.66
% 0.76/0.66 % Proof found!
% 0.76/0.66 % SZS status Unsatisfiable
% 0.76/0.66 % SZS output start CNFRefutation
% See solution above
% 0.76/0.66 % Parsed axioms : 56
% 0.76/0.66 % Removed by relevancy pruning/SinE : 0
% 0.76/0.66 % Initial clauses : 56
% 0.76/0.66 % Removed in clause preprocessing : 5
% 0.76/0.66 % Initial clauses in saturation : 51
% 0.76/0.66 % Processed clauses : 415
% 0.76/0.66 % ...of these trivial : 0
% 0.76/0.66 % ...subsumed : 132
% 0.76/0.66 % ...remaining for further processing : 283
% 0.76/0.66 % Other redundant clauses eliminated : 20
% 0.76/0.66 % Clauses deleted for lack of memory : 0
% 0.76/0.66 % Backward-subsumed : 2
% 0.76/0.66 % Backward-rewritten : 33
% 0.76/0.66 % Generated clauses : 1580
% 0.76/0.66 % ...of the previous two non-redundant : 1264
% 0.76/0.66 % ...aggressively subsumed : 0
% 0.76/0.66 % Contextual simplify-reflections : 5
% 0.76/0.66 % Paramodulations : 1525
% 0.76/0.66 % Factorizations : 30
% 0.76/0.66 % NegExts : 0
% 0.76/0.66 % Equation resolutions : 25
% 0.76/0.66 % Disequality decompositions : 0
% 0.76/0.66 % Total rewrite steps : 407
% 0.76/0.66 % ...of those cached : 382
% 0.76/0.66 % Propositional unsat checks : 0
% 0.76/0.66 % Propositional check models : 0
% 0.76/0.66 % Propositional check unsatisfiable : 0
% 0.76/0.66 % Propositional clauses : 0
% 0.76/0.66 % Propositional clauses after purity: 0
% 0.76/0.66 % Propositional unsat core size : 0
% 0.76/0.66 % Propositional preprocessing time : 0.000
% 0.76/0.66 % Propositional encoding time : 0.000
% 0.76/0.66 % Propositional solver time : 0.000
% 0.76/0.66 % Success case prop preproc time : 0.000
% 0.76/0.66 % Success case prop encoding time : 0.000
% 0.76/0.66 % Success case prop solver time : 0.000
% 0.76/0.66 % Current number of processed clauses : 196
% 0.76/0.66 % Positive orientable unit clauses : 22
% 0.76/0.66 % Positive unorientable unit clauses: 0
% 0.76/0.66 % Negative unit clauses : 4
% 0.76/0.66 % Non-unit-clauses : 170
% 0.76/0.66 % Current number of unprocessed clauses: 925
% 0.76/0.66 % ...number of literals in the above : 4544
% 0.76/0.66 % Current number of archived formulas : 0
% 0.76/0.66 % Current number of archived clauses : 86
% 0.76/0.66 % Clause-clause subsumption calls (NU) : 10174
% 0.76/0.66 % Rec. Clause-clause subsumption calls : 3723
% 0.76/0.66 % Non-unit clause-clause subsumptions : 134
% 0.76/0.66 % Unit Clause-clause subsumption calls : 135
% 0.76/0.66 % Rewrite failures with RHS unbound : 0
% 0.76/0.66 % BW rewrite match attempts : 19
% 0.76/0.66 % BW rewrite match successes : 1
% 0.76/0.66 % Condensation attempts : 0
% 0.76/0.66 % Condensation successes : 0
% 0.76/0.66 % Termbank termtop insertions : 28429
% 0.76/0.66 % Search garbage collected termcells : 148
% 0.76/0.66
% 0.76/0.66 % -------------------------------------------------
% 0.76/0.66 % User time : 0.080 s
% 0.76/0.66 % System time : 0.011 s
% 0.76/0.66 % Total time : 0.092 s
% 0.76/0.66 % Maximum resident set size: 3376 pages
% 0.76/0.66
% 0.76/0.66 % -------------------------------------------------
% 0.76/0.66 % User time : 0.390 s
% 0.76/0.66 % System time : 0.040 s
% 0.76/0.66 % Total time : 0.430 s
% 0.76/0.66 % Maximum resident set size: 4608 pages
% 0.76/0.66 % E exiting
%------------------------------------------------------------------------------