%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO062-3 : 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 : n019.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 12:27:04 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.48s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 28 ( 17 unt; 4 nHn; 20 RR)
% Number of literals : 45 ( 17 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 63 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b5,axiom,
( ~ between(X1,X3,X4)
| ~ between(X1,X2,X3)
| between(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b5) ).
cnf(t1,axiom,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(prove_v_equals_insertion,negated_conjecture,
v != insertion(u,w,u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_equals_insertion) ).
cnf(d10_1,axiom,
( ~ between(X1,X2,X3)
| X3 = extension(X1,X2,X2,X3)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_1) ).
cnf(insertion,axiom,
insertion(X1,X2,X3,X4) = extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-3.ax',insertion) ).
cnf(e3_1,axiom,
X1 != extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e3_1) ).
cnf(c_0_8,plain,
( ~ between(X1,X3,X4)
| ~ between(X1,X2,X3)
| between(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[b5]) ).
cnf(c_0_9,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[t1]) ).
cnf(c_0_10,plain,
( ~ between(X1,X3,X4)
| ~ between(X1,X2,X3)
| between(X2,X3,X4) ),
c_0_8 ).
cnf(c_0_11,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_12,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
c_0_9 ).
cnf(c_0_13,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_14,plain,
( ~ between(X3,X1,X2)
| between(X1,X2,extension(X3,X2,X4,X5)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,hypothesis,
between(w,v,u),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
v != insertion(u,w,u,v),
inference(fof_simplification,[status(thm)],[prove_v_equals_insertion]) ).
cnf(c_0_17,plain,
( ~ between(X1,X2,X3)
| X3 = extension(X1,X2,X2,X3)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[d10_1]) ).
cnf(c_0_18,hypothesis,
between(v,u,extension(w,u,X1,X2)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
v != insertion(u,w,u,v),
c_0_16 ).
cnf(c_0_20,axiom,
insertion(X1,X2,X3,X4) = extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4),
insertion ).
cnf(c_0_21,plain,
( ~ between(X1,X2,X3)
| X3 = extension(X1,X2,X2,X3)
| X1 = X2 ),
c_0_17 ).
cnf(c_0_22,hypothesis,
between(extension(w,u,X1,X2),u,v),
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_23,plain,
X1 != extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),
inference(fof_simplification,[status(thm)],[e3_1]) ).
cnf(c_0_24,negated_conjecture,
v != extension(extension(w,u,lower_dimension_point_1,lower_dimension_point_2),u,u,v),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,hypothesis,
( extension(w,u,X1,X2) = u
| extension(extension(w,u,X1,X2),u,u,v) = v ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
X1 != extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),
c_0_23 ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO062-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n019.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 09:12:21 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 0.20/0.48 % Version: 3.5.1
% 0.20/0.48 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.20/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.20/0.48 % Starting sh5l with 300s (1) cores
% 0.20/0.48 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4172179 completed with status 0
% 0.20/0.48 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.20/0.48 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.48 % No SInE strategy applied
% 0.20/0.48 % Search class: FGUSM-FFMF33-SFFFFFNN
% 0.20/0.48 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.48 % Starting SubtermCWHack with 151s (1) cores
% 0.20/0.48 % Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 901s (1) cores
% 0.20/0.48 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0a with 151s (1) cores
% 0.20/0.48 % Starting new_bool_3 with 151s (1) cores
% 0.20/0.48 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 146s (1) cores
% 0.20/0.48 % G-E--_215_C46_F1_AE_CS_SP_PS_S2S with pid 4172185 completed with status 0
% 0.20/0.48 % Result found by G-E--_215_C46_F1_AE_CS_SP_PS_S2S
% 0.20/0.48 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.48 % No SInE strategy applied
% 0.20/0.48 % Search class: FGUSM-FFMF33-SFFFFFNN
% 0.20/0.48 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.48 % Starting SubtermCWHack with 151s (1) cores
% 0.20/0.48 % Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 901s (1) cores
% 0.20/0.48 % Preprocessing time : 0.003 s
% 0.20/0.48 % Presaturation interreduction done
% 0.20/0.48
% 0.20/0.48 % Proof found!
% 0.20/0.48 % SZS status Unsatisfiable
% 0.20/0.48 % SZS output start CNFRefutation
% See solution above
% 0.20/0.48 % Parsed axioms : 75
% 0.20/0.48 % Removed by relevancy pruning/SinE : 0
% 0.20/0.48 % Initial clauses : 75
% 0.20/0.48 % Removed in clause preprocessing : 3
% 0.20/0.48 % Initial clauses in saturation : 72
% 0.20/0.48 % Processed clauses : 305
% 0.20/0.48 % ...of these trivial : 12
% 0.20/0.48 % ...subsumed : 93
% 0.20/0.48 % ...remaining for further processing : 200
% 0.20/0.48 % Other redundant clauses eliminated : 0
% 0.20/0.48 % Clauses deleted for lack of memory : 0
% 0.20/0.48 % Backward-subsumed : 0
% 0.20/0.48 % Backward-rewritten : 8
% 0.20/0.48 % Generated clauses : 711
% 0.20/0.48 % ...of the previous two non-redundant : 429
% 0.20/0.48 % ...aggressively subsumed : 0
% 0.20/0.48 % Contextual simplify-reflections : 0
% 0.20/0.48 % Paramodulations : 702
% 0.20/0.48 % Factorizations : 0
% 0.20/0.48 % NegExts : 0
% 0.20/0.48 % Equation resolutions : 9
% 0.20/0.48 % Disequality decompositions : 0
% 0.20/0.48 % Total rewrite steps : 298
% 0.20/0.48 % ...of those cached : 182
% 0.20/0.48 % Propositional unsat checks : 0
% 0.20/0.48 % Propositional check models : 0
% 0.20/0.48 % Propositional check unsatisfiable : 0
% 0.20/0.48 % Propositional clauses : 0
% 0.20/0.48 % Propositional clauses after purity: 0
% 0.20/0.48 % Propositional unsat core size : 0
% 0.20/0.48 % Propositional preprocessing time : 0.000
% 0.20/0.48 % Propositional encoding time : 0.000
% 0.20/0.48 % Propositional solver time : 0.000
% 0.20/0.48 % Success case prop preproc time : 0.000
% 0.20/0.48 % Success case prop encoding time : 0.000
% 0.20/0.48 % Success case prop solver time : 0.000
% 0.20/0.48 % Current number of processed clauses : 127
% 0.20/0.48 % Positive orientable unit clauses : 31
% 0.20/0.48 % Positive unorientable unit clauses: 0
% 0.20/0.48 % Negative unit clauses : 8
% 0.20/0.48 % Non-unit-clauses : 88
% 0.20/0.48 % Current number of unprocessed clauses: 255
% 0.20/0.49 % ...number of literals in the above : 690
% 0.20/0.49 % Current number of archived formulas : 0
% 0.20/0.49 % Current number of archived clauses : 75
% 0.20/0.49 % Clause-clause subsumption calls (NU) : 3277
% 0.20/0.49 % Rec. Clause-clause subsumption calls : 2735
% 0.20/0.49 % Non-unit clause-clause subsumptions : 93
% 0.20/0.49 % Unit Clause-clause subsumption calls : 8
% 0.20/0.49 % Rewrite failures with RHS unbound : 0
% 0.20/0.49 % BW rewrite match attempts : 202
% 0.20/0.49 % BW rewrite match successes : 8
% 0.20/0.49 % Condensation attempts : 0
% 0.20/0.49 % Condensation successes : 0
% 0.20/0.49 % Termbank termtop insertions : 9737
% 0.20/0.49 % Search garbage collected termcells : 185
% 0.20/0.49
% 0.20/0.49 % -------------------------------------------------
% 0.20/0.49 % User time : 0.031 s
% 0.20/0.49 % System time : 0.006 s
% 0.20/0.49 % Total time : 0.037 s
% 0.20/0.49 % Maximum resident set size: 3692 pages
% 0.20/0.49
% 0.20/0.49 % -------------------------------------------------
% 0.20/0.49 % User time : 0.065 s
% 0.20/0.49 % System time : 0.018 s
% 0.20/0.49 % Total time : 0.082 s
% 0.20/0.49 % Maximum resident set size: 4864 pages
% 0.20/0.49 % E exiting
%------------------------------------------------------------------------------