%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO009-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 12:26:51 PM UTC 2026
% Result : Unsatisfiable 1.51s 0.84s
% Output : CNFRefutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of clauses : 45 ( 25 unt; 13 nHn; 31 RR)
% Number of literals : 89 ( 22 equ; 30 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 86 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
cnf(b6,axiom,
( ~ between(X2,X3,X4)
| ~ between(X1,X2,X3)
| X2 = X3
| between(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b6) ).
cnf(d_between_a_and_e,hypothesis,
between(a,d,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_between_a_and_e) ).
cnf(b5,axiom,
( ~ between(X1,X3,X4)
| ~ between(X1,X2,X3)
| between(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b5) ).
cnf(c_between_a_and_e,hypothesis,
between(a,c,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_between_a_and_e) ).
cnf(t7,axiom,
( ~ between(X4,X2,X3)
| ~ between(X1,X2,X3)
| between(X4,X1,X2)
| between(X1,X4,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(r6,axiom,
X1 = reflection(reflection(X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r6) ).
cnf(reflection,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-2.ax',reflection) ).
cnf(e1,axiom,
X1 = extension(X2,X1,X3,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e1) ).
cnf(c_not_between_a_and_d,hypothesis,
~ between(a,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_not_between_a_and_d) ).
cnf(prove_d_between_a_and_c,negated_conjecture,
~ between(a,d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_d_between_a_and_c) ).
cnf(t2,axiom,
between(X1,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2) ).
cnf(c_0_13,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[t1]) ).
cnf(c_0_14,plain,
( ~ between(X2,X3,X4)
| ~ between(X1,X2,X3)
| X2 = X3
| between(X1,X3,X4) ),
inference(fof_simplification,[status(thm)],[b6]) ).
cnf(c_0_15,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
c_0_13 ).
cnf(c_0_16,hypothesis,
between(a,d,e),
d_between_a_and_e ).
cnf(c_0_17,plain,
( ~ between(X1,X3,X4)
| ~ between(X1,X2,X3)
| between(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[b5]) ).
cnf(c_0_18,hypothesis,
between(a,c,e),
c_between_a_and_e ).
cnf(c_0_19,plain,
( ~ between(X2,X3,X4)
| ~ between(X1,X2,X3)
| X2 = X3
| between(X1,X3,X4) ),
c_0_14 ).
cnf(c_0_20,hypothesis,
between(e,d,a),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( ~ between(X4,X2,X3)
| ~ between(X1,X2,X3)
| between(X4,X1,X2)
| between(X1,X4,X2)
| X2 = X3 ),
inference(fof_simplification,[status(thm)],[t7]) ).
cnf(c_0_22,plain,
( ~ between(X1,X3,X4)
| ~ between(X1,X2,X3)
| between(X2,X3,X4) ),
c_0_17 ).
cnf(c_0_23,hypothesis,
between(e,c,a),
inference(spm,[status(thm)],[c_0_15,c_0_18]) ).
cnf(c_0_24,hypothesis,
( ~ between(d,a,X1)
| between(e,a,X1)
| d = a ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_26,plain,
( ~ between(X4,X2,X3)
| ~ between(X1,X2,X3)
| between(X4,X1,X2)
| between(X1,X4,X2)
| X2 = X3 ),
c_0_21 ).
cnf(c_0_27,hypothesis,
( ~ between(e,a,X1)
| between(c,a,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,hypothesis,
( between(e,a,extension(d,a,X1,X2))
| d = a ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,axiom,
X1 = reflection(reflection(X1,X2),X2),
r6 ).
cnf(c_0_30,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
reflection ).
cnf(c_0_31,plain,
( ~ between(X5,X2,extension(X1,X2,X3,X4))
| between(X1,X5,X2)
| between(X5,X1,X2)
| extension(X1,X2,X3,X4) = X2 ),
inference(spm,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_32,hypothesis,
( between(c,a,extension(d,a,X1,X2))
| d = a ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
X1 = extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30]),c_0_30]) ).
cnf(c_0_34,hypothesis,
( between(c,d,a)
| between(d,c,a)
| d = a
| extension(d,a,X1,X2) = a ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,axiom,
X1 = extension(X2,X1,X3,X3),
e1 ).
cnf(c_0_36,hypothesis,
~ between(a,c,d),
inference(fof_simplification,[status(thm)],[c_not_between_a_and_d]) ).
cnf(c_0_37,hypothesis,
( between(d,c,a)
| between(c,d,a)
| d = a ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
cnf(c_0_38,hypothesis,
~ between(a,c,d),
c_0_36 ).
cnf(c_0_39,negated_conjecture,
~ between(a,d,c),
inference(fof_simplification,[status(thm)],[prove_d_between_a_and_c]) ).
cnf(c_0_40,hypothesis,
( between(c,d,a)
| d = a ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_37]),c_0_38]) ).
cnf(c_0_41,negated_conjecture,
~ between(a,d,c),
c_0_39 ).
cnf(c_0_42,hypothesis,
d = a,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_40]),c_0_41]) ).
cnf(c_0_43,axiom,
between(X1,X1,X2),
t2 ).
cnf(c_0_44,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42]),c_0_43])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO009-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n010.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 20 08:14:55 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.55 Running first-order theorem proving
% 0.27/0.55 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
% 1.51/0.84 % Version: 3.5.1
% 1.51/0.84 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.51/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.51/0.84 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.51/0.84 % Starting new_bool_3 with 300s (1) cores
% 1.51/0.84 % Starting new_bool_1 with 300s (1) cores
% 1.51/0.84 % Starting sh5l with 300s (1) cores
% 1.51/0.84 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2595297 completed with status 0
% 1.51/0.84 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.51/0.84 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.51/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.51/0.84 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.51/0.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.51/0.84 % No SInE strategy applied
% 1.51/0.84 % Search class: FGUSM-FFMF33-SFFFFFNN
% 1.51/0.84 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 1.51/0.84 % Starting SubtermCWHack with 151s (1) cores
% 1.51/0.84 % Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 901s (1) cores
% 1.51/0.84 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0a with 151s (1) cores
% 1.51/0.84 % Starting new_bool_3 with 151s (1) cores
% 1.51/0.84 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 146s (1) cores
% 1.51/0.84 % G-E--_207_C18_F1_AE_CS_SP_PI_S0a with pid 2595303 completed with status 0
% 1.51/0.84 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_S0a
% 1.51/0.84 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.51/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.51/0.84 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.51/0.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.51/0.84 % No SInE strategy applied
% 1.51/0.84 % Search class: FGUSM-FFMF33-SFFFFFNN
% 1.51/0.84 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 1.51/0.84 % Starting SubtermCWHack with 151s (1) cores
% 1.51/0.84 % Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 901s (1) cores
% 1.51/0.84 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0a with 151s (1) cores
% 1.51/0.84 % Preprocessing time : 0.003 s
% 1.51/0.84
% 1.51/0.84 % Proof found!
% 1.51/0.84 % SZS status Unsatisfiable
% 1.51/0.84 % SZS output start CNFRefutation
% See solution above
% 1.51/0.84 % Parsed axioms : 83
% 1.51/0.84 % Removed by relevancy pruning/SinE : 0
% 1.51/0.84 % Initial clauses : 83
% 1.51/0.84 % Removed in clause preprocessing : 3
% 1.51/0.84 % Initial clauses in saturation : 80
% 1.51/0.84 % Processed clauses : 577
% 1.51/0.84 % ...of these trivial : 55
% 1.51/0.84 % ...subsumed : 142
% 1.51/0.84 % ...remaining for further processing : 380
% 1.51/0.84 % Other redundant clauses eliminated : 5
% 1.51/0.84 % Clauses deleted for lack of memory : 0
% 1.51/0.84 % Backward-subsumed : 3
% 1.51/0.84 % Backward-rewritten : 89
% 1.51/0.84 % Generated clauses : 4572
% 1.51/0.84 % ...of the previous two non-redundant : 3615
% 1.51/0.84 % ...aggressively subsumed : 0
% 1.51/0.84 % Contextual simplify-reflections : 0
% 1.51/0.84 % Paramodulations : 4562
% 1.51/0.84 % Factorizations : 0
% 1.51/0.84 % NegExts : 0
% 1.51/0.84 % Equation resolutions : 10
% 1.51/0.84 % Disequality decompositions : 0
% 1.51/0.84 % Total rewrite steps : 1273
% 1.51/0.84 % ...of those cached : 1024
% 1.51/0.84 % Propositional unsat checks : 0
% 1.51/0.84 % Propositional check models : 0
% 1.51/0.84 % Propositional check unsatisfiable : 0
% 1.51/0.84 % Propositional clauses : 0
% 1.51/0.84 % Propositional clauses after purity: 0
% 1.51/0.84 % Propositional unsat core size : 0
% 1.51/0.84 % Propositional preprocessing time : 0.000
% 1.51/0.84 % Propositional encoding time : 0.000
% 1.51/0.84 % Propositional solver time : 0.000
% 1.51/0.84 % Success case prop preproc time : 0.000
% 1.51/0.84 % Success case prop encoding time : 0.000
% 1.51/0.84 % Success case prop solver time : 0.000
% 1.51/0.84 % Current number of processed clauses : 286
% 1.51/0.84 % Positive orientable unit clauses : 43
% 1.51/0.84 % Positive unorientable unit clauses: 0
% 1.51/0.84 % Negative unit clauses : 7
% 1.51/0.84 % Non-unit-clauses : 236
% 1.51/0.84 % Current number of unprocessed clauses: 3073
% 1.51/0.84 % ...number of literals in the above : 9965
% 1.51/0.84 % Current number of archived formulas : 0
% 1.51/0.84 % Current number of archived clauses : 94
% 1.51/0.84 % Clause-clause subsumption calls (NU) : 12899
% 1.51/0.84 % Rec. Clause-clause subsumption calls : 10908
% 1.51/0.84 % Non-unit clause-clause subsumptions : 145
% 1.51/0.84 % Unit Clause-clause subsumption calls : 554
% 1.51/0.84 % Rewrite failures with RHS unbound : 0
% 1.51/0.84 % BW rewrite match attempts : 712
% 1.51/0.84 % BW rewrite match successes : 15
% 1.51/0.84 % Condensation attempts : 0
% 1.51/0.84 % Condensation successes : 0
% 1.51/0.84 % Termbank termtop insertions : 72100
% 1.51/0.84 % Search garbage collected termcells : 198
% 1.51/0.84
% 1.51/0.84 % -------------------------------------------------
% 1.51/0.84 % User time : 0.162 s
% 1.51/0.84 % System time : 0.016 s
% 1.51/0.84 % Total time : 0.178 s
% 1.51/0.84 % Maximum resident set size: 3700 pages
% 1.51/0.84
% 1.51/0.84 % -------------------------------------------------
% 1.51/0.84 % User time : 0.935 s
% 1.51/0.84 % System time : 0.069 s
% 1.51/0.84 % Total time : 1.004 s
% 1.51/0.84 % Maximum resident set size: 4864 pages
% 1.51/0.84 % E exiting
%------------------------------------------------------------------------------