%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO003-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:26:49 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.34s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 10 unt; 0 nHn; 7 RR)
% Number of literals : 16 ( 4 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-4 aty)
% Number of variables : 30 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(prove_b_between_a_and_b,negated_conjecture,
~ between(a,b,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_between_a_and_b) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(c_0_4,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[identity_for_equidistance]) ).
cnf(c_0_5,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
c_0_4 ).
cnf(c_0_6,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_7,negated_conjecture,
~ between(a,b,b),
inference(fof_simplification,[status(thm)],[prove_b_between_a_and_b]) ).
cnf(c_0_8,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_9,plain,
extension(X1,X2,X3,X3) = X2,
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
~ between(a,b,b),
c_0_7 ).
cnf(c_0_11,plain,
between(X1,X2,X2),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO003-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 20 08:13:52 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.33 Running first-order theorem proving
% 0.04/0.33 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Version: 3.5.1
% 0.08/0.34 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.08/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.34 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.08/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.08/0.34 % Starting new_bool_1 with 300s (1) cores
% 0.08/0.34 % Starting sh5l with 300s (1) cores
% 0.08/0.34 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4143019 completed with status 0
% 0.08/0.34 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.08/0.34 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.08/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.34 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.08/0.34 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.34 % No SInE strategy applied
% 0.08/0.34 % Search class: FGUSS-FFMF33-SFFFFFNN
% 0.08/0.34 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.34 % Starting SubtermCWHack with 136s (1) cores
% 0.08/0.34 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.08/0.34 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S4c with 136s (1) cores
% 0.08/0.34 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.08/0.34 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.08/0.34 % SubtermCWHack with pid 4143023 completed with status 0
% 0.08/0.34 % Result found by SubtermCWHack
% 0.08/0.34 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.08/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.34 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.08/0.34 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.34 % No SInE strategy applied
% 0.08/0.34 % Search class: FGUSS-FFMF33-SFFFFFNN
% 0.08/0.34 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.34 % Starting SubtermCWHack with 136s (1) cores
% 0.08/0.34 % Preprocessing time : 0.001 s
% 0.08/0.34
% 0.08/0.34 % Proof found!
% 0.08/0.34 % SZS status Unsatisfiable
% 0.08/0.34 % SZS output start CNFRefutation
% See solution above
% 0.08/0.34 % Parsed axioms : 19
% 0.08/0.34 % Removed by relevancy pruning/SinE : 0
% 0.08/0.34 % Initial clauses : 19
% 0.08/0.34 % Removed in clause preprocessing : 0
% 0.08/0.34 % Initial clauses in saturation : 19
% 0.08/0.34 % Processed clauses : 12
% 0.08/0.34 % ...of these trivial : 0
% 0.08/0.34 % ...subsumed : 0
% 0.08/0.34 % ...remaining for further processing : 12
% 0.08/0.34 % Other redundant clauses eliminated : 0
% 0.08/0.34 % Clauses deleted for lack of memory : 0
% 0.08/0.34 % Backward-subsumed : 0
% 0.08/0.34 % Backward-rewritten : 1
% 0.08/0.34 % Generated clauses : 5
% 0.08/0.34 % ...of the previous two non-redundant : 5
% 0.08/0.34 % ...aggressively subsumed : 0
% 0.08/0.34 % Contextual simplify-reflections : 0
% 0.08/0.34 % Paramodulations : 5
% 0.08/0.34 % Factorizations : 0
% 0.08/0.34 % NegExts : 0
% 0.08/0.34 % Equation resolutions : 0
% 0.08/0.34 % Disequality decompositions : 0
% 0.08/0.34 % Total rewrite steps : 1
% 0.08/0.34 % ...of those cached : 0
% 0.08/0.34 % Propositional unsat checks : 0
% 0.08/0.34 % Propositional check models : 0
% 0.08/0.34 % Propositional check unsatisfiable : 0
% 0.08/0.34 % Propositional clauses : 0
% 0.08/0.34 % Propositional clauses after purity: 0
% 0.08/0.34 % Propositional unsat core size : 0
% 0.08/0.34 % Propositional preprocessing time : 0.000
% 0.08/0.34 % Propositional encoding time : 0.000
% 0.08/0.34 % Propositional solver time : 0.000
% 0.08/0.34 % Success case prop preproc time : 0.000
% 0.08/0.34 % Success case prop encoding time : 0.000
% 0.08/0.34 % Success case prop solver time : 0.000
% 0.08/0.34 % Current number of processed clauses : 11
% 0.08/0.34 % Positive orientable unit clauses : 5
% 0.08/0.34 % Positive unorientable unit clauses: 0
% 0.08/0.34 % Negative unit clauses : 3
% 0.08/0.34 % Non-unit-clauses : 3
% 0.08/0.34 % Current number of unprocessed clauses: 12
% 0.08/0.34 % ...number of literals in the above : 48
% 0.08/0.34 % Current number of archived formulas : 0
% 0.08/0.34 % Current number of archived clauses : 1
% 0.08/0.34 % Clause-clause subsumption calls (NU) : 3
% 0.08/0.34 % Rec. Clause-clause subsumption calls : 3
% 0.08/0.34 % Non-unit clause-clause subsumptions : 0
% 0.08/0.34 % Unit Clause-clause subsumption calls : 3
% 0.08/0.34 % Rewrite failures with RHS unbound : 0
% 0.08/0.34 % BW rewrite match attempts : 13
% 0.08/0.34 % BW rewrite match successes : 1
% 0.08/0.34 % Condensation attempts : 0
% 0.08/0.34 % Condensation successes : 0
% 0.08/0.34 % Termbank termtop insertions : 648
% 0.08/0.34 % Search garbage collected termcells : 75
% 0.08/0.34
% 0.08/0.34 % -------------------------------------------------
% 0.08/0.34 % User time : 0.003 s
% 0.08/0.34 % System time : 0.001 s
% 0.08/0.34 % Total time : 0.003 s
% 0.08/0.34 % Maximum resident set size: 3656 pages
% 0.08/0.34
% 0.08/0.34 % -------------------------------------------------
% 0.08/0.34 % User time : 0.007 s
% 0.08/0.34 % System time : 0.005 s
% 0.08/0.34 % Total time : 0.011 s
% 0.08/0.34 % Maximum resident set size: 4608 pages
% 0.08/0.34 % E exiting
%------------------------------------------------------------------------------