%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO027-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:26:55 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.69s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 34 ( 19 unt; 4 nHn; 23 RR)
% Number of literals : 80 ( 13 equ; 48 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 114 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(outer_five_segment,axiom,
( ~ between(X3,X4,X6)
| ~ between(X1,X2,X5)
| ~ equidistant(X2,X7,X4,X8)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X7,X6,X8)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
cnf(transitivity_for_equidistance,axiom,
( ~ equidistant(X1,X2,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
cnf(reflexivity_for_equidistance,axiom,
equidistant(X1,X2,X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(prove_w_is_an_extension,negated_conjecture,
w != extension(u,v,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_is_an_extension) ).
cnf(c_0_9,plain,
( ~ between(X3,X4,X6)
| ~ between(X1,X2,X5)
| ~ equidistant(X2,X7,X4,X8)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X7,X6,X8)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[outer_five_segment]) ).
cnf(c_0_10,plain,
( ~ equidistant(X1,X2,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[transitivity_for_equidistance]) ).
cnf(c_0_11,plain,
( ~ between(X3,X4,X6)
| ~ between(X1,X2,X5)
| ~ equidistant(X2,X7,X4,X8)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X7,X6,X8)
| X1 = X2 ),
c_0_9 ).
cnf(c_0_12,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_13,hypothesis,
u != v,
inference(fof_simplification,[status(thm)],[u_not_v]) ).
cnf(c_0_14,plain,
( ~ equidistant(X1,X2,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X5,X6) ),
c_0_10 ).
cnf(c_0_15,axiom,
equidistant(X1,X2,X2,X1),
reflexivity_for_equidistance ).
cnf(c_0_16,plain,
( ~ equidistant(X1,X2,X5,X6)
| ~ equidistant(X1,X4,X5,X9)
| ~ equidistant(X2,X4,X6,X9)
| ~ equidistant(X2,X3,X6,extension(X5,X6,X7,X8))
| ~ between(X1,X2,X3)
| equidistant(X3,X4,extension(X5,X6,X7,X8),X9)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_18,hypothesis,
u != v,
c_0_13 ).
cnf(c_0_19,plain,
( ~ equidistant(X4,X3,X1,X2)
| equidistant(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_21,hypothesis,
( ~ equidistant(u,X1,X2,X6)
| ~ equidistant(v,X1,X3,X6)
| ~ equidistant(u,v,X2,X3)
| ~ equidistant(v,w,X3,extension(X2,X3,X4,X5))
| equidistant(w,X1,extension(X2,X3,X4,X5),X6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_22,plain,
equidistant(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_23,plain,
( ~ equidistant(X5,extension(X6,X5,X3,X4),X1,X2)
| equidistant(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_14,c_0_20]) ).
cnf(c_0_24,hypothesis,
( ~ equidistant(u,X1,X2,X1)
| ~ equidistant(u,v,X2,v)
| ~ equidistant(v,w,v,extension(X2,v,X3,X4))
| equidistant(w,X1,extension(X2,v,X3,X4),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(spm,[status(thm)],[c_0_23,c_0_15]) ).
cnf(c_0_26,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[identity_for_equidistance]) ).
cnf(c_0_27,hypothesis,
( ~ equidistant(v,w,v,extension(u,v,X2,X3))
| equidistant(w,X1,extension(u,v,X2,X3),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_22]),c_0_22])]) ).
cnf(c_0_28,plain,
equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
inference(spm,[status(thm)],[c_0_19,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
w != extension(u,v,v,w),
inference(fof_simplification,[status(thm)],[prove_w_is_an_extension]) ).
cnf(c_0_30,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
c_0_26 ).
cnf(c_0_31,hypothesis,
equidistant(w,X1,extension(u,v,v,w),X1),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
w != extension(u,v,v,w),
c_0_29 ).
cnf(c_0_33,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO027-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.38 % Computer : n003.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sun Sep 20 08:20:05 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/5.44 Running first-order theorem proving
% 0.14/5.44 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
% 0.14/5.69 % Version: 3.5.1
% 0.14/5.69 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/5.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.69 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.69 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.69 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.69 % Starting sh5l with 300s (1) cores
% 0.14/5.69 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1593334 completed with status 0
% 0.14/5.69 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/5.69 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/5.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.69 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.69 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.69 % No SInE strategy applied
% 0.14/5.69 % Search class: FGUSS-FFMF33-SFFFFFNN
% 0.14/5.69 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.69 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.69 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/5.69 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S4c with 136s (1) cores
% 0.14/5.69 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.14/5.69 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.14/5.69 % H----_047_B31_F1_PI_AE_R4_CS_SP_S4c with pid 1593342 completed with status 0
% 0.14/5.69 % Result found by H----_047_B31_F1_PI_AE_R4_CS_SP_S4c
% 0.14/5.69 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/5.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.69 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.69 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.69 % No SInE strategy applied
% 0.14/5.69 % Search class: FGUSS-FFMF33-SFFFFFNN
% 0.14/5.69 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.69 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.69 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/5.69 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S4c with 136s (1) cores
% 0.14/5.69 % Preprocessing time : 0.001 s
% 0.14/5.69
% 0.14/5.69 % Proof found!
% 0.14/5.69 % SZS status Unsatisfiable
% 0.14/5.69 % SZS output start CNFRefutation
% See solution above
% 0.14/5.69 % Parsed axioms : 21
% 0.14/5.69 % Removed by relevancy pruning/SinE : 0
% 0.14/5.69 % Initial clauses : 21
% 0.14/5.69 % Removed in clause preprocessing : 0
% 0.14/5.69 % Initial clauses in saturation : 21
% 0.14/5.69 % Processed clauses : 753
% 0.14/5.69 % ...of these trivial : 124
% 0.14/5.69 % ...subsumed : 109
% 0.14/5.69 % ...remaining for further processing : 520
% 0.14/5.69 % Other redundant clauses eliminated : 0
% 0.14/5.69 % Clauses deleted for lack of memory : 0
% 0.14/5.69 % Backward-subsumed : 7
% 0.14/5.69 % Backward-rewritten : 13
% 0.14/5.69 % Generated clauses : 13857
% 0.14/5.69 % ...of the previous two non-redundant : 12023
% 0.14/5.69 % ...aggressively subsumed : 0
% 0.14/5.69 % Contextual simplify-reflections : 0
% 0.14/5.69 % Paramodulations : 13857
% 0.14/5.69 % Factorizations : 0
% 0.14/5.69 % NegExts : 0
% 0.14/5.69 % Equation resolutions : 0
% 0.14/5.69 % Disequality decompositions : 0
% 0.14/5.69 % Total rewrite steps : 3472
% 0.14/5.69 % ...of those cached : 3107
% 0.14/5.69 % Propositional unsat checks : 0
% 0.14/5.69 % Propositional check models : 0
% 0.14/5.69 % Propositional check unsatisfiable : 0
% 0.14/5.69 % Propositional clauses : 0
% 0.14/5.69 % Propositional clauses after purity: 0
% 0.14/5.69 % Propositional unsat core size : 0
% 0.14/5.69 % Propositional preprocessing time : 0.000
% 0.14/5.69 % Propositional encoding time : 0.000
% 0.14/5.69 % Propositional solver time : 0.000
% 0.14/5.69 % Success case prop preproc time : 0.000
% 0.14/5.69 % Success case prop encoding time : 0.000
% 0.14/5.69 % Success case prop solver time : 0.000
% 0.14/5.69 % Current number of processed clauses : 500
% 0.14/5.69 % Positive orientable unit clauses : 276
% 0.14/5.69 % Positive unorientable unit clauses: 0
% 0.14/5.69 % Negative unit clauses : 5
% 0.14/5.69 % Non-unit-clauses : 219
% 0.14/5.69 % Current number of unprocessed clauses: 11217
% 0.14/5.69 % ...number of literals in the above : 22505
% 0.14/5.69 % Current number of archived formulas : 0
% 0.14/5.69 % Current number of archived clauses : 20
% 0.14/5.69 % Clause-clause subsumption calls (NU) : 11149
% 0.14/5.69 % Rec. Clause-clause subsumption calls : 6739
% 0.14/5.69 % Non-unit clause-clause subsumptions : 116
% 0.14/5.69 % Unit Clause-clause subsumption calls : 1276
% 0.14/5.69 % Rewrite failures with RHS unbound : 0
% 0.14/5.69 % BW rewrite match attempts : 7297
% 0.14/5.69 % BW rewrite match successes : 11
% 0.14/5.69 % Condensation attempts : 0
% 0.14/5.69 % Condensation successes : 0
% 0.14/5.69 % Termbank termtop insertions : 250328
% 0.14/5.69 % Search garbage collected termcells : 77
% 0.14/5.69
% 0.14/5.69 % -------------------------------------------------
% 0.14/5.69 % User time : 0.209 s
% 0.14/5.69 % System time : 0.023 s
% 0.14/5.69 % Total time : 0.231 s
% 0.14/5.69 % Maximum resident set size: 3656 pages
% 0.14/5.69
% 0.14/5.69 % -------------------------------------------------
% 0.14/5.69 % User time : 1.075 s
% 0.14/5.69 % System time : 0.076 s
% 0.14/5.69 % Total time : 1.151 s
% 0.14/5.69 % Maximum resident set size: 4864 pages
% 0.14/5.69 % E exiting
%------------------------------------------------------------------------------