%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO026-3 : 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 : 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 12:26:55 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.53s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 18 unt; 4 nHn; 31 RR)
% Number of literals : 83 ( 13 equ; 52 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 77 ( 0 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(d8,axiom,
( ~ between(X3,X4,X6)
| ~ between(X1,X2,X5)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X5,X3,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8) ).
cnf(d2,axiom,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
cnf(v_to_w_equals_v_to_x,hypothesis,
equidistant(v,w,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_v_to_x) ).
cnf(d1,axiom,
equidistant(X1,X2,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).
cnf(v_between_u_and_x,hypothesis,
between(u,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_x) ).
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_x,negated_conjecture,
w != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_is_x) ).
cnf(c_0_10,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_11,plain,
( ~ between(X3,X4,X6)
| ~ between(X1,X2,X5)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X5,X3,X6) ),
inference(fof_simplification,[status(thm)],[d8]) ).
cnf(c_0_12,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(fof_simplification,[status(thm)],[d2]) ).
cnf(c_0_13,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_10 ).
cnf(c_0_14,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_15,hypothesis,
u != v,
inference(fof_simplification,[status(thm)],[u_not_v]) ).
cnf(c_0_16,plain,
( ~ between(X3,X4,X6)
| ~ between(X1,X2,X5)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X5,X3,X6) ),
c_0_11 ).
cnf(c_0_17,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
c_0_12 ).
cnf(c_0_18,hypothesis,
equidistant(v,w,v,x),
v_to_w_equals_v_to_x ).
cnf(c_0_19,hypothesis,
( ~ equidistant(X1,X4,u,X5)
| ~ equidistant(X2,X4,v,X5)
| ~ equidistant(X1,X2,u,v)
| ~ equidistant(X2,X3,v,w)
| ~ between(X1,X2,X3)
| equidistant(X3,X4,w,X5)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,axiom,
equidistant(X1,X2,X1,X2),
d1 ).
cnf(c_0_21,hypothesis,
u != v,
c_0_15 ).
cnf(c_0_22,hypothesis,
( ~ equidistant(X1,X3,u,v)
| ~ equidistant(X3,X2,v,w)
| ~ between(X1,X3,X2)
| equidistant(X1,X2,u,w) ),
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
cnf(c_0_23,hypothesis,
between(u,v,x),
v_between_u_and_x ).
cnf(c_0_24,hypothesis,
equidistant(v,x,v,w),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[identity_for_equidistance]) ).
cnf(c_0_26,hypothesis,
( ~ equidistant(u,X1,u,X2)
| ~ equidistant(v,X1,v,X2)
| equidistant(w,X1,w,X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_14]),c_0_20]),c_0_20])]),c_0_21]) ).
cnf(c_0_27,hypothesis,
equidistant(u,x,u,w),
inference(cn,[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_20])]) ).
cnf(c_0_28,negated_conjecture,
w != x,
inference(fof_simplification,[status(thm)],[prove_w_is_x]) ).
cnf(c_0_29,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
c_0_25 ).
cnf(c_0_30,hypothesis,
equidistant(w,x,w,w),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_24]),c_0_27])]) ).
cnf(c_0_31,negated_conjecture,
w != x,
c_0_28 ).
cnf(c_0_32,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO026-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/5.39 % Computer : n019.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Sun Sep 20 08:22:55 UTC 2026
% 0.12/5.40 % CPUTime :
% 0.12/5.40 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.43 Running first-order theorem proving
% 0.15/5.43 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
% 0.15/5.53 % Version: 3.5.1
% 0.15/5.53 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.53 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.53 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.53 % Starting sh5l with 300s (1) cores
% 0.15/5.53 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4140483 completed with status 0
% 0.15/5.53 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/5.53 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.53 % No SInE strategy applied
% 0.15/5.53 % Search class: FGUSM-FFMS33-SFFFFFNN
% 0.15/5.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.53 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/5.53 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.15/5.53 % Starting new_bool_3 with 136s (1) cores
% 0.15/5.53 % Starting new_bool_1 with 136s (1) cores
% 0.15/5.53 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 4140491 completed with status 0
% 0.15/5.53 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.15/5.53 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.53 % No SInE strategy applied
% 0.15/5.53 % Search class: FGUSM-FFMS33-SFFFFFNN
% 0.15/5.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.53 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/5.53 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.15/5.53 % Preprocessing time : 0.002 s
% 0.15/5.53 % Presaturation interreduction done
% 0.15/5.53
% 0.15/5.53 % Proof found!
% 0.15/5.53 % SZS status Unsatisfiable
% 0.15/5.53 % SZS output start CNFRefutation
% See solution above
% 0.15/5.53 % Parsed axioms : 42
% 0.15/5.53 % Removed by relevancy pruning/SinE : 0
% 0.15/5.53 % Initial clauses : 42
% 0.15/5.53 % Removed in clause preprocessing : 1
% 0.15/5.53 % Initial clauses in saturation : 41
% 0.15/5.53 % Processed clauses : 570
% 0.15/5.53 % ...of these trivial : 167
% 0.15/5.53 % ...subsumed : 13
% 0.15/5.53 % ...remaining for further processing : 390
% 0.15/5.53 % Other redundant clauses eliminated : 2
% 0.15/5.53 % Clauses deleted for lack of memory : 0
% 0.15/5.53 % Backward-subsumed : 0
% 0.15/5.53 % Backward-rewritten : 0
% 0.15/5.53 % Generated clauses : 3837
% 0.15/5.53 % ...of the previous two non-redundant : 3006
% 0.15/5.53 % ...aggressively subsumed : 0
% 0.15/5.53 % Contextual simplify-reflections : 0
% 0.15/5.53 % Paramodulations : 3835
% 0.15/5.53 % Factorizations : 0
% 0.15/5.53 % NegExts : 0
% 0.15/5.53 % Equation resolutions : 2
% 0.15/5.53 % Disequality decompositions : 0
% 0.15/5.53 % Total rewrite steps : 1025
% 0.15/5.53 % ...of those cached : 903
% 0.15/5.53 % Propositional unsat checks : 0
% 0.15/5.53 % Propositional check models : 0
% 0.15/5.53 % Propositional check unsatisfiable : 0
% 0.15/5.53 % Propositional clauses : 0
% 0.15/5.53 % Propositional clauses after purity: 0
% 0.15/5.53 % Propositional unsat core size : 0
% 0.15/5.53 % Propositional preprocessing time : 0.000
% 0.15/5.53 % Propositional encoding time : 0.000
% 0.15/5.53 % Propositional solver time : 0.000
% 0.15/5.53 % Success case prop preproc time : 0.000
% 0.15/5.53 % Success case prop encoding time : 0.000
% 0.15/5.53 % Success case prop solver time : 0.000
% 0.15/5.53 % Current number of processed clauses : 352
% 0.15/5.53 % Positive orientable unit clauses : 100
% 0.15/5.53 % Positive unorientable unit clauses: 0
% 0.15/5.53 % Negative unit clauses : 5
% 0.15/5.53 % Non-unit-clauses : 247
% 0.15/5.53 % Current number of unprocessed clauses: 2506
% 0.15/5.53 % ...number of literals in the above : 5981
% 0.15/5.53 % Current number of archived formulas : 0
% 0.15/5.53 % Current number of archived clauses : 37
% 0.15/5.53 % Clause-clause subsumption calls (NU) : 13206
% 0.15/5.53 % Rec. Clause-clause subsumption calls : 11540
% 0.15/5.53 % Non-unit clause-clause subsumptions : 13
% 0.15/5.53 % Unit Clause-clause subsumption calls : 100
% 0.15/5.53 % Rewrite failures with RHS unbound : 0
% 0.15/5.53 % BW rewrite match attempts : 557
% 0.15/5.53 % BW rewrite match successes : 0
% 0.15/5.53 % Condensation attempts : 0
% 0.15/5.53 % Condensation successes : 0
% 0.15/5.53 % Termbank termtop insertions : 78642
% 0.15/5.53 % Search garbage collected termcells : 98
% 0.15/5.53
% 0.15/5.53 % -------------------------------------------------
% 0.15/5.53 % User time : 0.072 s
% 0.15/5.53 % System time : 0.010 s
% 0.15/5.53 % Total time : 0.082 s
% 0.15/5.53 % Maximum resident set size: 3664 pages
% 0.15/5.53
% 0.15/5.53 % -------------------------------------------------
% 0.15/5.53 % User time : 0.301 s
% 0.15/5.53 % System time : 0.032 s
% 0.15/5.53 % Total time : 0.333 s
% 0.15/5.53 % Maximum resident set size: 4864 pages
% 0.15/5.53 % E exiting
%------------------------------------------------------------------------------