%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO008-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:26:50 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.71s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 37 ( 17 unt; 0 nHn; 31 RR)
% Number of literals : 70 ( 8 equ; 36 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-5 aty)
% Number of variables : 91 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_betweeness,axiom,
( ~ between(X1,X2,X1)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',identity_for_betweeness) ).
cnf(outer_pasch1,axiom,
( ~ between(X4,X3,X5)
| ~ between(X1,X2,X3)
| between(X1,outer_pasch(X2,X1,X4,X5,X3),X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',outer_pasch1) ).
cnf(outer_pasch2,axiom,
( ~ between(X4,X3,X5)
| ~ between(X1,X2,X3)
| between(X5,X2,outer_pasch(X2,X1,X4,X5,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',outer_pasch2) ).
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',identity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',segment_construction2) ).
cnf(d_between_a_and_e,hypothesis,
between(a,d,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_between_a_and_e) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',segment_construction1) ).
cnf(b_between_c_and_d,hypothesis,
between(c,b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_between_c_and_d) ).
cnf(prove_betweenness,negated_conjecture,
~ between(a,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_betweenness) ).
cnf(c_between_a_and_e,hypothesis,
between(a,c,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_between_a_and_e) ).
cnf(c_0_10,plain,
( ~ between(X1,X2,X1)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[identity_for_betweeness]) ).
cnf(c_0_11,plain,
( ~ between(X4,X3,X5)
| ~ between(X1,X2,X3)
| between(X1,outer_pasch(X2,X1,X4,X5,X3),X4) ),
inference(fof_simplification,[status(thm)],[outer_pasch1]) ).
cnf(c_0_12,plain,
( ~ between(X4,X3,X5)
| ~ between(X1,X2,X3)
| between(X5,X2,outer_pasch(X2,X1,X4,X5,X3)) ),
inference(fof_simplification,[status(thm)],[outer_pasch2]) ).
cnf(c_0_13,plain,
( ~ between(X1,X2,X1)
| X1 = X2 ),
c_0_10 ).
cnf(c_0_14,plain,
( ~ between(X4,X3,X5)
| ~ between(X1,X2,X3)
| between(X1,outer_pasch(X2,X1,X4,X5,X3),X4) ),
c_0_11 ).
cnf(c_0_15,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[identity_for_equidistance]) ).
cnf(c_0_16,plain,
( ~ between(X4,X3,X5)
| ~ between(X1,X2,X3)
| between(X5,X2,outer_pasch(X2,X1,X4,X5,X3)) ),
c_0_12 ).
cnf(c_0_17,plain,
( ~ between(X2,X1,X4)
| ~ between(X2,X4,X3)
| outer_pasch(X1,X2,X2,X3,X4) = X2 ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
c_0_15 ).
cnf(c_0_19,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_20,plain,
( ~ between(X3,X2,X4)
| ~ between(X3,X4,X1)
| between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,hypothesis,
between(a,d,e),
d_between_a_and_e ).
cnf(c_0_22,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_23,plain,
extension(X1,X2,X3,X3) = X2,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,hypothesis,
( ~ between(a,X1,d)
| between(e,X1,a) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
between(X1,X2,X2),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,hypothesis,
( ~ between(e,X1,X2)
| ~ between(a,X2,d)
| between(a,X1,e) ),
inference(spm,[status(thm)],[c_0_20,c_0_24]) ).
cnf(c_0_27,plain,
( ~ between(X3,X2,X1)
| between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_25]) ).
cnf(c_0_28,hypothesis,
( ~ between(X2,X1,X4)
| ~ between(X3,X4,e)
| ~ between(a,outer_pasch(X1,X2,X3,e,X4),d)
| between(a,X1,e) ),
inference(spm,[status(thm)],[c_0_26,c_0_16]) ).
cnf(c_0_29,plain,
( ~ between(X3,X2,X5)
| ~ between(X1,X5,X4)
| between(X1,outer_pasch(X2,X3,X1,X4,X5),X3) ),
inference(spm,[status(thm)],[c_0_27,c_0_14]) ).
cnf(c_0_30,hypothesis,
between(c,b,d),
b_between_c_and_d ).
cnf(c_0_31,negated_conjecture,
~ between(a,b,e),
inference(fof_simplification,[status(thm)],[prove_betweenness]) ).
cnf(c_0_32,hypothesis,
( ~ between(d,X1,X2)
| ~ between(a,X2,e)
| between(a,X1,e) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,hypothesis,
between(d,b,c),
inference(spm,[status(thm)],[c_0_27,c_0_30]) ).
cnf(c_0_34,hypothesis,
between(a,c,e),
c_between_a_and_e ).
cnf(c_0_35,negated_conjecture,
~ between(a,b,e),
c_0_31 ).
cnf(c_0_36,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]),c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO008-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n005.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 20 08:15:03 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.48 Running first-order theorem proving
% 0.18/0.48 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
% 0.24/0.71 % Version: 3.5.1
% 0.24/0.71 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.24/0.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.71 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.24/0.71 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.71 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.71 % Starting sh5l with 300s (1) cores
% 0.24/0.71 % new_bool_1 with pid 788581 completed with status 9
% 0.24/0.71 % new_bool_3 with pid 788580 completed with status 9
% 0.24/0.71 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 788579 completed with status 0
% 0.24/0.71 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.24/0.71 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.24/0.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.71 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.24/0.71 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.71 % No SInE strategy applied
% 0.24/0.71 % Search class: FGUSS-FFMS33-SFFFFFNN
% 0.24/0.71 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.71 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.71 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.24/0.71 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S0Y with 193s (1) cores
% 0.24/0.71 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S0Y with 161s (1) cores
% 0.24/0.71 % Starting new_bool_3 with 161s (1) cores
% 0.24/0.71 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S0Y with pid 788589 completed with status 0
% 0.24/0.71 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S0Y
% 0.24/0.71 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.24/0.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.71 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.24/0.71 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.71 % No SInE strategy applied
% 0.24/0.71 % Search class: FGUSS-FFMS33-SFFFFFNN
% 0.24/0.71 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.71 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.71 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.24/0.71 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S0Y with 193s (1) cores
% 0.24/0.71 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S0Y with 161s (1) cores
% 0.24/0.71 % Preprocessing time : 0.002 s
% 0.24/0.71 % Presaturation interreduction done
% 0.24/0.71
% 0.24/0.71 % Proof found!
% 0.24/0.71 % SZS status Unsatisfiable
% 0.24/0.71 % SZS output start CNFRefutation
% See solution above
% 0.24/0.71 % Parsed axioms : 24
% 0.24/0.71 % Removed by relevancy pruning/SinE : 0
% 0.24/0.71 % Initial clauses : 24
% 0.24/0.71 % Removed in clause preprocessing : 0
% 0.24/0.71 % Initial clauses in saturation : 24
% 0.24/0.71 % Processed clauses : 1160
% 0.24/0.71 % ...of these trivial : 1
% 0.24/0.71 % ...subsumed : 503
% 0.24/0.71 % ...remaining for further processing : 656
% 0.24/0.71 % Other redundant clauses eliminated : 0
% 0.24/0.71 % Clauses deleted for lack of memory : 0
% 0.24/0.71 % Backward-subsumed : 254
% 0.24/0.71 % Backward-rewritten : 2
% 0.24/0.71 % Generated clauses : 6208
% 0.24/0.71 % ...of the previous two non-redundant : 5540
% 0.24/0.71 % ...aggressively subsumed : 0
% 0.24/0.71 % Contextual simplify-reflections : 4
% 0.24/0.71 % Paramodulations : 6208
% 0.24/0.71 % Factorizations : 0
% 0.24/0.71 % NegExts : 0
% 0.24/0.71 % Equation resolutions : 0
% 0.24/0.71 % Disequality decompositions : 0
% 0.24/0.71 % Total rewrite steps : 986
% 0.24/0.71 % ...of those cached : 850
% 0.24/0.71 % Propositional unsat checks : 0
% 0.24/0.71 % Propositional check models : 0
% 0.24/0.71 % Propositional check unsatisfiable : 0
% 0.24/0.71 % Propositional clauses : 0
% 0.24/0.71 % Propositional clauses after purity: 0
% 0.24/0.71 % Propositional unsat core size : 0
% 0.24/0.71 % Propositional preprocessing time : 0.000
% 0.24/0.71 % Propositional encoding time : 0.000
% 0.24/0.71 % Propositional solver time : 0.000
% 0.24/0.71 % Success case prop preproc time : 0.000
% 0.24/0.71 % Success case prop encoding time : 0.000
% 0.24/0.71 % Success case prop solver time : 0.000
% 0.24/0.71 % Current number of processed clauses : 376
% 0.24/0.71 % Positive orientable unit clauses : 36
% 0.24/0.71 % Positive unorientable unit clauses: 0
% 0.24/0.71 % Negative unit clauses : 11
% 0.24/0.71 % Non-unit-clauses : 329
% 0.24/0.71 % Current number of unprocessed clauses: 3428
% 0.24/0.71 % ...number of literals in the above : 18439
% 0.24/0.71 % Current number of archived formulas : 0
% 0.24/0.71 % Current number of archived clauses : 280
% 0.24/0.71 % Clause-clause subsumption calls (NU) : 91380
% 0.24/0.71 % Rec. Clause-clause subsumption calls : 67339
% 0.24/0.71 % Non-unit clause-clause subsumptions : 534
% 0.24/0.71 % Unit Clause-clause subsumption calls : 1885
% 0.24/0.71 % Rewrite failures with RHS unbound : 0
% 0.24/0.71 % BW rewrite match attempts : 493
% 0.24/0.71 % BW rewrite match successes : 2
% 0.24/0.71 % Condensation attempts : 0
% 0.24/0.71 % Condensation successes : 0
% 0.24/0.71 % Termbank termtop insertions : 97402
% 0.24/0.71 % Search garbage collected termcells : 80
% 0.24/0.71
% 0.24/0.71 % -------------------------------------------------
% 0.24/0.71 % User time : 0.167 s
% 0.24/0.71 % System time : 0.006 s
% 0.24/0.71 % Total time : 0.174 s
% 0.24/0.71 % Maximum resident set size: 3656 pages
% 0.24/0.71
% 0.24/0.71 % -------------------------------------------------
% 0.24/0.71 % User time : 0.703 s
% 0.24/0.71 % System time : 0.098 s
% 0.24/0.71 % Total time : 0.802 s
% 0.24/0.71 % Maximum resident set size: 4608 pages
% 0.24/0.71 % E exiting
%------------------------------------------------------------------------------