%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SCT042-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 02:07:37 PM UTC 2026
% Result : Unsatisfiable 0.13s 15.61s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 8 unt; 2 nHn; 11 RR)
% Number of literals : 18 ( 5 equ; 10 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 8 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_that_0,axiom,
( ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
| v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_CHAINED_0_01,axiom,
v_a____ != v_b____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
cnf(cls_third__alt_0,axiom,
( X1 = X2
| c_List_Odistinct(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xthird__alt__1(X1,X2),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_third__alt_0) ).
cnf(c_0_4,plain,
( ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
| v_thesis____ ),
inference(fof_simplification,[status(thm)],[cls_that_0]) ).
cnf(c_0_5,negated_conjecture,
~ v_thesis____,
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_6,plain,
( ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
| v_thesis____ ),
c_0_4 ).
cnf(c_0_7,negated_conjecture,
~ v_thesis____,
c_0_5 ).
cnf(c_0_8,plain,
v_a____ != v_b____,
inference(fof_simplification,[status(thm)],[cls_CHAINED_0_01]) ).
cnf(c_0_9,plain,
~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
inference(sr,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,axiom,
( X1 = X2
| c_List_Odistinct(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xthird__alt__1(X1,X2),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
cls_third__alt_0 ).
cnf(c_0_11,plain,
v_a____ != v_b____,
c_0_8 ).
cnf(c_0_12,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT042-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/15.36 % Computer : n003.cluster.edu
% 0.10/15.36 % Model : x86_64 x86_64
% 0.10/15.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.36 % Memory : 8046.5625MB
% 0.10/15.36 % OS : Linux 6.8.0-71-generic
% 0.10/15.36 % CPULimit : 300
% 0.10/15.36 % WCLimit : 300
% 0.10/15.36 % DateTime : Mon Sep 21 04:29:31 UTC 2026
% 0.10/15.36 % CPUTime :
% 0.10/15.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/15.40 Running first-order theorem proving
% 0.13/15.40 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
% 0.13/15.61 % Version: 3.5.1
% 0.13/15.61 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/15.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/15.61 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/15.61 % Starting new_bool_3 with 300s (1) cores
% 0.13/15.61 % Starting new_bool_1 with 300s (1) cores
% 0.13/15.61 % Starting sh5l with 300s (1) cores
% 0.13/15.61 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3404120 completed with status 0
% 0.13/15.61 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.13/15.61 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/15.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/15.61 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/15.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/15.61 % No SInE strategy applied
% 0.13/15.61 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.13/15.61 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/15.61 % Starting SubtermCWHack with 136s (1) cores
% 0.13/15.61 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.13/15.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 0.13/15.61 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 0.13/15.61 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.13/15.61 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3404129 completed with status 0
% 0.13/15.61 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.13/15.61 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/15.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/15.61 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/15.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/15.61 % No SInE strategy applied
% 0.13/15.61 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.13/15.61 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/15.61 % Starting SubtermCWHack with 136s (1) cores
% 0.13/15.61 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.13/15.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 0.13/15.61 % Preprocessing time : 0.009 s
% 0.13/15.61 % Presaturation interreduction done
% 0.13/15.61
% 0.13/15.61 % Proof found!
% 0.13/15.61 % SZS status Unsatisfiable
% 0.13/15.61 % SZS output start CNFRefutation
% See solution above
% 0.13/15.61 % Parsed axioms : 666
% 0.13/15.61 % Removed by relevancy pruning/SinE : 0
% 0.13/15.61 % Initial clauses : 666
% 0.13/15.61 % Removed in clause preprocessing : 3
% 0.13/15.61 % Initial clauses in saturation : 663
% 0.13/15.61 % Processed clauses : 884
% 0.13/15.61 % ...of these trivial : 49
% 0.13/15.61 % ...subsumed : 93
% 0.13/15.61 % ...remaining for further processing : 742
% 0.13/15.61 % Other redundant clauses eliminated : 18
% 0.13/15.61 % Clauses deleted for lack of memory : 0
% 0.13/15.61 % Backward-subsumed : 0
% 0.13/15.61 % Backward-rewritten : 6
% 0.13/15.61 % Generated clauses : 390
% 0.13/15.61 % ...of the previous two non-redundant : 212
% 0.13/15.61 % ...aggressively subsumed : 0
% 0.13/15.61 % Contextual simplify-reflections : 0
% 0.13/15.61 % Paramodulations : 362
% 0.13/15.61 % Factorizations : 0
% 0.13/15.61 % NegExts : 0
% 0.13/15.61 % Equation resolutions : 28
% 0.13/15.61 % Disequality decompositions : 0
% 0.13/15.61 % Total rewrite steps : 369
% 0.13/15.61 % ...of those cached : 266
% 0.13/15.61 % Propositional unsat checks : 0
% 0.13/15.61 % Propositional check models : 0
% 0.13/15.61 % Propositional check unsatisfiable : 0
% 0.13/15.61 % Propositional clauses : 0
% 0.13/15.61 % Propositional clauses after purity: 0
% 0.13/15.61 % Propositional unsat core size : 0
% 0.13/15.61 % Propositional preprocessing time : 0.000
% 0.13/15.61 % Propositional encoding time : 0.000
% 0.13/15.61 % Propositional solver time : 0.000
% 0.13/15.61 % Success case prop preproc time : 0.000
% 0.13/15.61 % Success case prop encoding time : 0.000
% 0.13/15.61 % Success case prop solver time : 0.000
% 0.13/15.61 % Current number of processed clauses : 216
% 0.13/15.61 % Positive orientable unit clauses : 103
% 0.13/15.61 % Positive unorientable unit clauses: 1
% 0.13/15.61 % Negative unit clauses : 13
% 0.13/15.61 % Non-unit-clauses : 99
% 0.13/15.61 % Current number of unprocessed clauses: 502
% 0.13/15.61 % ...number of literals in the above : 1096
% 0.13/15.61 % Current number of archived formulas : 0
% 0.13/15.61 % Current number of archived clauses : 528
% 0.13/15.61 % Clause-clause subsumption calls (NU) : 36900
% 0.13/15.61 % Rec. Clause-clause subsumption calls : 16850
% 0.13/15.61 % Non-unit clause-clause subsumptions : 75
% 0.13/15.61 % Unit Clause-clause subsumption calls : 135
% 0.13/15.61 % Rewrite failures with RHS unbound : 0
% 0.13/15.61 % BW rewrite match attempts : 73
% 0.13/15.61 % BW rewrite match successes : 54
% 0.13/15.61 % Condensation attempts : 0
% 0.13/15.61 % Condensation successes : 0
% 0.13/15.61 % Termbank termtop insertions : 25973
% 0.13/15.61 % Search garbage collected termcells : 934
% 0.13/15.61
% 0.13/15.61 % -------------------------------------------------
% 0.13/15.61 % User time : 0.075 s
% 0.13/15.61 % System time : 0.010 s
% 0.13/15.61 % Total time : 0.085 s
% 0.13/15.61 % Maximum resident set size: 4844 pages
% 0.13/15.61
% 0.13/15.61 % -------------------------------------------------
% 0.13/15.61 % User time : 0.474 s
% 0.13/15.61 % System time : 0.045 s
% 0.13/15.61 % Total time : 0.519 s
% 0.13/15.61 % Maximum resident set size: 5120 pages
% 0.13/15.61 % E exiting
%------------------------------------------------------------------------------