%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO044-3 : 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 : n006.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 12:27:00 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.45s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 17 unt; 4 nHn; 20 RR)
% Number of literals : 49 ( 13 equ; 25 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 52 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(d9,axiom,
( ~ equidistant(X2,X3,X2,X4)
| ~ between(X1,X2,X4)
| ~ between(X1,X2,X3)
| X3 = X4
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9) ).
cnf(b5,axiom,
( ~ between(X1,X3,X4)
| ~ between(X1,X2,X3)
| between(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b5) ).
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(v_not_w,hypothesis,
v != w,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_not_w) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(w_between_v_and_x,hypothesis,
between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_v_and_x) ).
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_w_between_u_and_x,negated_conjecture,
~ between(u,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_between_u_and_x) ).
cnf(c_0_8,plain,
( ~ equidistant(X2,X3,X2,X4)
| ~ between(X1,X2,X4)
| ~ between(X1,X2,X3)
| X3 = X4
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[d9]) ).
cnf(c_0_9,plain,
( ~ between(X1,X3,X4)
| ~ between(X1,X2,X3)
| between(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[b5]) ).
cnf(c_0_10,plain,
( ~ equidistant(X2,X3,X2,X4)
| ~ between(X1,X2,X4)
| ~ between(X1,X2,X3)
| X3 = X4
| X1 = X2 ),
c_0_8 ).
cnf(c_0_11,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_12,hypothesis,
v != w,
inference(fof_simplification,[status(thm)],[v_not_w]) ).
cnf(c_0_13,plain,
( ~ between(X1,X3,X4)
| ~ between(X1,X2,X3)
| between(X2,X3,X4) ),
c_0_9 ).
cnf(c_0_14,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_15,plain,
( ~ between(X4,X2,X3)
| ~ between(X4,X2,extension(X1,X2,X2,X3))
| X4 = X2
| extension(X1,X2,X2,X3) = X3 ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,hypothesis,
between(v,w,x),
w_between_v_and_x ).
cnf(c_0_17,hypothesis,
v != w,
c_0_12 ).
cnf(c_0_18,plain,
( ~ between(X3,X1,X2)
| between(X1,X2,extension(X3,X2,X4,X5)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_20,hypothesis,
( ~ between(v,w,extension(X1,w,w,x))
| extension(X1,w,w,x) = x ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_21,hypothesis,
between(v,w,extension(u,w,X1,X2)),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
~ between(u,w,x),
inference(fof_simplification,[status(thm)],[prove_w_between_u_and_x]) ).
cnf(c_0_23,hypothesis,
extension(u,w,w,x) = x,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
~ between(u,w,x),
c_0_22 ).
cnf(c_0_25,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_23]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO044-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 08:37:29 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 0.08/0.45 % Version: 3.5.1
% 0.08/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.08/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.08/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.08/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.08/0.45 % Starting sh5l with 300s (1) cores
% 0.08/0.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 356295 completed with status 0
% 0.08/0.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.08/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.08/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.08/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.45 % No SInE strategy applied
% 0.08/0.45 % Search class: FGUSM-FFMF33-SFFFFFNN
% 0.08/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.08/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.08/0.45 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 0.08/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.08/0.45 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.08/0.45 % new_bool_3 with pid 356305 completed with status 0
% 0.08/0.45 % Result found by new_bool_3
% 0.08/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.08/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.08/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.45 % No SInE strategy applied
% 0.08/0.45 % Search class: FGUSM-FFMF33-SFFFFFNN
% 0.08/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.08/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.08/0.45 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 0.08/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.08/0.45 % Preprocessing time : 0.002 s
% 0.08/0.45 % Presaturation interreduction done
% 0.08/0.45
% 0.08/0.45 % Proof found!
% 0.08/0.45 % SZS status Unsatisfiable
% 0.08/0.45 % SZS output start CNFRefutation
% See solution above
% 0.08/0.45 % Parsed axioms : 57
% 0.08/0.45 % Removed by relevancy pruning/SinE : 0
% 0.08/0.45 % Initial clauses : 57
% 0.08/0.45 % Removed in clause preprocessing : 2
% 0.08/0.45 % Initial clauses in saturation : 55
% 0.08/0.45 % Processed clauses : 288
% 0.08/0.45 % ...of these trivial : 13
% 0.08/0.45 % ...subsumed : 79
% 0.08/0.45 % ...remaining for further processing : 196
% 0.08/0.45 % Other redundant clauses eliminated : 4
% 0.08/0.45 % Clauses deleted for lack of memory : 0
% 0.08/0.45 % Backward-subsumed : 0
% 0.08/0.45 % Backward-rewritten : 0
% 0.08/0.45 % Generated clauses : 906
% 0.08/0.45 % ...of the previous two non-redundant : 607
% 0.08/0.45 % ...aggressively subsumed : 0
% 0.08/0.45 % Contextual simplify-reflections : 0
% 0.08/0.45 % Paramodulations : 902
% 0.08/0.45 % Factorizations : 0
% 0.08/0.45 % NegExts : 0
% 0.08/0.45 % Equation resolutions : 4
% 0.08/0.45 % Disequality decompositions : 0
% 0.08/0.45 % Total rewrite steps : 303
% 0.08/0.45 % ...of those cached : 185
% 0.08/0.45 % Propositional unsat checks : 0
% 0.08/0.45 % Propositional check models : 0
% 0.08/0.45 % Propositional check unsatisfiable : 0
% 0.08/0.45 % Propositional clauses : 0
% 0.08/0.45 % Propositional clauses after purity: 0
% 0.08/0.45 % Propositional unsat core size : 0
% 0.08/0.45 % Propositional preprocessing time : 0.000
% 0.08/0.45 % Propositional encoding time : 0.000
% 0.08/0.45 % Propositional solver time : 0.000
% 0.08/0.45 % Success case prop preproc time : 0.000
% 0.08/0.45 % Success case prop encoding time : 0.000
% 0.08/0.45 % Success case prop solver time : 0.000
% 0.08/0.45 % Current number of processed clauses : 146
% 0.08/0.45 % Positive orientable unit clauses : 50
% 0.08/0.45 % Positive unorientable unit clauses: 0
% 0.08/0.45 % Negative unit clauses : 15
% 0.08/0.45 % Non-unit-clauses : 81
% 0.08/0.45 % Current number of unprocessed clauses: 421
% 0.08/0.45 % ...number of literals in the above : 1033
% 0.08/0.45 % Current number of archived formulas : 0
% 0.08/0.45 % Current number of archived clauses : 48
% 0.08/0.45 % Clause-clause subsumption calls (NU) : 2718
% 0.08/0.45 % Rec. Clause-clause subsumption calls : 2052
% 0.08/0.45 % Non-unit clause-clause subsumptions : 60
% 0.08/0.45 % Unit Clause-clause subsumption calls : 207
% 0.08/0.45 % Rewrite failures with RHS unbound : 0
% 0.08/0.45 % BW rewrite match attempts : 230
% 0.08/0.45 % BW rewrite match successes : 0
% 0.08/0.45 % Condensation attempts : 0
% 0.08/0.45 % Condensation successes : 0
% 0.08/0.45 % Termbank termtop insertions : 12195
% 0.08/0.45 % Search garbage collected termcells : 127
% 0.08/0.45
% 0.08/0.45 % -------------------------------------------------
% 0.08/0.45 % User time : 0.022 s
% 0.08/0.45 % System time : 0.007 s
% 0.08/0.45 % Total time : 0.029 s
% 0.08/0.45 % Maximum resident set size: 3676 pages
% 0.08/0.45
% 0.08/0.45 % -------------------------------------------------
% 0.08/0.45 % User time : 0.122 s
% 0.08/0.45 % System time : 0.016 s
% 0.08/0.45 % Total time : 0.138 s
% 0.08/0.45 % Maximum resident set size: 4608 pages
% 0.08/0.45 % E exiting
%------------------------------------------------------------------------------