%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO054-2 : 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 : n005.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 12:27:02 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.42s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 5 RR)
% Number of literals : 9 ( 2 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 12 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_v_between_u_and_reflection,negated_conjecture,
~ between(u,v,reflection(u,v)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_between_u_and_reflection) ).
cnf(reflection,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-2.ax',reflection) ).
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_3,negated_conjecture,
~ between(u,v,reflection(u,v)),
inference(fof_simplification,[status(thm)],[prove_v_between_u_and_reflection]) ).
cnf(c_0_4,negated_conjecture,
~ between(u,v,reflection(u,v)),
c_0_3 ).
cnf(c_0_5,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
reflection ).
cnf(c_0_6,negated_conjecture,
~ between(u,v,extension(u,v,u,v)),
inference(rw,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO054-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 08:48:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42 % Version: 3.5.1
% 0.09/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.42 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.42 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.42 % Starting sh5l with 300s (1) cores
% 0.09/0.42 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 814390 completed with status 0
% 0.09/0.42 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.09/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.42 % No SInE strategy applied
% 0.09/0.42 % Search class: FGUSS-FFMF33-SFFFFFNN
% 0.09/0.42 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.42 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.09/0.42 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S4c with 136s (1) cores
% 0.09/0.42 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.09/0.42 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.09/0.42 % 208_C09_12_F1_SE_CS_SP_PS_S070I with pid 814398 completed with status 0
% 0.09/0.42 % Result found by 208_C09_12_F1_SE_CS_SP_PS_S070I
% 0.09/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.42 % No SInE strategy applied
% 0.09/0.42 % Search class: FGUSS-FFMF33-SFFFFFNN
% 0.09/0.42 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.42 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.09/0.42 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S4c with 136s (1) cores
% 0.09/0.42 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.09/0.42 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.09/0.42 % Preprocessing time : 0.001 s
% 0.09/0.42 % Presaturation interreduction done
% 0.09/0.42
% 0.09/0.42 % Proof found!
% 0.09/0.42 % SZS status Unsatisfiable
% 0.09/0.42 % SZS output start CNFRefutation
% See solution above
% 0.09/0.42 % Parsed axioms : 20
% 0.09/0.42 % Removed by relevancy pruning/SinE : 0
% 0.09/0.42 % Initial clauses : 20
% 0.09/0.42 % Removed in clause preprocessing : 1
% 0.09/0.42 % Initial clauses in saturation : 19
% 0.09/0.42 % Processed clauses : 8
% 0.09/0.42 % ...of these trivial : 0
% 0.09/0.42 % ...subsumed : 0
% 0.09/0.42 % ...remaining for further processing : 8
% 0.09/0.42 % Other redundant clauses eliminated : 0
% 0.09/0.42 % Clauses deleted for lack of memory : 0
% 0.09/0.42 % Backward-subsumed : 0
% 0.09/0.42 % Backward-rewritten : 1
% 0.09/0.42 % Generated clauses : 0
% 0.09/0.42 % ...of the previous two non-redundant : 0
% 0.09/0.42 % ...aggressively subsumed : 0
% 0.09/0.42 % Contextual simplify-reflections : 0
% 0.09/0.42 % Paramodulations : 0
% 0.09/0.42 % Factorizations : 0
% 0.09/0.42 % NegExts : 0
% 0.09/0.42 % Equation resolutions : 0
% 0.09/0.42 % Disequality decompositions : 0
% 0.09/0.42 % Total rewrite steps : 1
% 0.09/0.42 % ...of those cached : 0
% 0.09/0.42 % Propositional unsat checks : 0
% 0.09/0.42 % Propositional check models : 0
% 0.09/0.42 % Propositional check unsatisfiable : 0
% 0.09/0.42 % Propositional clauses : 0
% 0.09/0.42 % Propositional clauses after purity: 0
% 0.09/0.42 % Propositional unsat core size : 0
% 0.09/0.42 % Propositional preprocessing time : 0.000
% 0.09/0.42 % Propositional encoding time : 0.000
% 0.09/0.42 % Propositional solver time : 0.000
% 0.09/0.42 % Success case prop preproc time : 0.000
% 0.09/0.42 % Success case prop encoding time : 0.000
% 0.09/0.42 % Success case prop solver time : 0.000
% 0.09/0.42 % Current number of processed clauses : 7
% 0.09/0.42 % Positive orientable unit clauses : 2
% 0.09/0.42 % Positive unorientable unit clauses: 0
% 0.09/0.42 % Negative unit clauses : 3
% 0.09/0.42 % Non-unit-clauses : 2
% 0.09/0.42 % Current number of unprocessed clauses: 11
% 0.09/0.42 % ...number of literals in the above : 47
% 0.09/0.42 % Current number of archived formulas : 0
% 0.09/0.42 % Current number of archived clauses : 2
% 0.09/0.42 % Clause-clause subsumption calls (NU) : 0
% 0.09/0.42 % Rec. Clause-clause subsumption calls : 0
% 0.09/0.42 % Non-unit clause-clause subsumptions : 0
% 0.09/0.42 % Unit Clause-clause subsumption calls : 3
% 0.09/0.42 % Rewrite failures with RHS unbound : 0
% 0.09/0.42 % BW rewrite match attempts : 5
% 0.09/0.42 % BW rewrite match successes : 1
% 0.09/0.42 % Condensation attempts : 0
% 0.09/0.42 % Condensation successes : 0
% 0.09/0.42 % Termbank termtop insertions : 617
% 0.09/0.42 % Search garbage collected termcells : 75
% 0.09/0.42
% 0.09/0.42 % -------------------------------------------------
% 0.09/0.42 % User time : 0.000 s
% 0.09/0.42 % System time : 0.003 s
% 0.09/0.42 % Total time : 0.003 s
% 0.09/0.42 % Maximum resident set size: 3660 pages
% 0.09/0.42
% 0.09/0.42 % -------------------------------------------------
% 0.09/0.42 % User time : 0.005 s
% 0.09/0.42 % System time : 0.012 s
% 0.09/0.42 % Total time : 0.017 s
% 0.09/0.42 % Maximum resident set size: 4608 pages
% 0.09/0.42 % E exiting
%------------------------------------------------------------------------------