%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SCT088-1 : 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 : n008.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 02:07:42 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.54s
% Output : CNFRefutation 0.15s
% 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_c____,c_List_Olist_OCons(v_d____,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_02,axiom,
v_c____ != v_d____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
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_c____,c_List_Olist_OCons(v_d____,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_c____,c_List_Olist_OCons(v_d____,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_c____ != v_d____,
inference(fof_simplification,[status(thm)],[cls_CHAINED_0_02]) ).
cnf(c_0_9,plain,
~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,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_c____ != v_d____,
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
% 0.00/0.03 % Problem : SCT088-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.38 % Computer : n008.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Mon Sep 21 04:31:30 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.43 Running first-order theorem proving
% 0.15/5.43 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
% 0.15/5.54 % Version: 3.5.1
% 0.15/5.54 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.15/5.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.54 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.15/5.54 % Starting new_bool_3 with 600s (2) cores
% 0.15/5.54 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.54 % Starting sh5l with 300s (1) cores
% 0.15/5.54 % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 141470 completed with status 0
% 0.15/5.54 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 0.15/5.54 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.15/5.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.54 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.15/5.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.54 % No SInE strategy applied
% 0.15/5.54 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.15/5.54 % Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 0.15/5.54 % Starting SubtermCWHack with 109s (1) cores
% 0.15/5.54 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 0.15/5.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 90s (1) cores
% 0.15/5.54 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 90s (1) cores
% 0.15/5.54 % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 141479 completed with status 0
% 0.15/5.54 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 0.15/5.54 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.15/5.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.54 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.15/5.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.54 % No SInE strategy applied
% 0.15/5.54 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.15/5.54 % Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 0.15/5.54 % Starting SubtermCWHack with 109s (1) cores
% 0.15/5.54 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 0.15/5.54 % Preprocessing time : 0.009 s
% 0.15/5.54 % Presaturation interreduction done
% 0.15/5.54
% 0.15/5.54 % Proof found!
% 0.15/5.54 % SZS status Unsatisfiable
% 0.15/5.54 % SZS output start CNFRefutation
% See solution above
% 0.15/5.54 % Parsed axioms : 674
% 0.15/5.54 % Removed by relevancy pruning/SinE : 0
% 0.15/5.54 % Initial clauses : 674
% 0.15/5.54 % Removed in clause preprocessing : 3
% 0.15/5.54 % Initial clauses in saturation : 671
% 0.15/5.54 % Processed clauses : 895
% 0.15/5.54 % ...of these trivial : 49
% 0.15/5.54 % ...subsumed : 93
% 0.15/5.54 % ...remaining for further processing : 753
% 0.15/5.54 % Other redundant clauses eliminated : 0
% 0.15/5.54 % Clauses deleted for lack of memory : 0
% 0.15/5.54 % Backward-subsumed : 0
% 0.15/5.54 % Backward-rewritten : 6
% 0.15/5.54 % Generated clauses : 340
% 0.15/5.54 % ...of the previous two non-redundant : 196
% 0.15/5.54 % ...aggressively subsumed : 0
% 0.15/5.54 % Contextual simplify-reflections : 0
% 0.15/5.54 % Paramodulations : 331
% 0.15/5.54 % Factorizations : 0
% 0.15/5.54 % NegExts : 0
% 0.15/5.54 % Equation resolutions : 9
% 0.15/5.54 % Disequality decompositions : 0
% 0.15/5.54 % Total rewrite steps : 339
% 0.15/5.54 % ...of those cached : 239
% 0.15/5.54 % Propositional unsat checks : 0
% 0.15/5.54 % Propositional check models : 0
% 0.15/5.54 % Propositional check unsatisfiable : 0
% 0.15/5.54 % Propositional clauses : 0
% 0.15/5.54 % Propositional clauses after purity: 0
% 0.15/5.54 % Propositional unsat core size : 0
% 0.15/5.54 % Propositional preprocessing time : 0.000
% 0.15/5.54 % Propositional encoding time : 0.000
% 0.15/5.54 % Propositional solver time : 0.000
% 0.15/5.54 % Success case prop preproc time : 0.000
% 0.15/5.54 % Success case prop encoding time : 0.000
% 0.15/5.54 % Success case prop solver time : 0.000
% 0.15/5.54 % Current number of processed clauses : 219
% 0.15/5.54 % Positive orientable unit clauses : 105
% 0.15/5.54 % Positive unorientable unit clauses: 1
% 0.15/5.54 % Negative unit clauses : 13
% 0.15/5.54 % Non-unit-clauses : 100
% 0.15/5.54 % Current number of unprocessed clauses: 492
% 0.15/5.54 % ...number of literals in the above : 1075
% 0.15/5.54 % Current number of archived formulas : 0
% 0.15/5.54 % Current number of archived clauses : 536
% 0.15/5.54 % Clause-clause subsumption calls (NU) : 37061
% 0.15/5.54 % Rec. Clause-clause subsumption calls : 16938
% 0.15/5.54 % Non-unit clause-clause subsumptions : 75
% 0.15/5.54 % Unit Clause-clause subsumption calls : 135
% 0.15/5.54 % Rewrite failures with RHS unbound : 0
% 0.15/5.54 % BW rewrite match attempts : 70
% 0.15/5.54 % BW rewrite match successes : 54
% 0.15/5.54 % Condensation attempts : 0
% 0.15/5.54 % Condensation successes : 0
% 0.15/5.54 % Termbank termtop insertions : 25823
% 0.15/5.54 % Search garbage collected termcells : 943
% 0.15/5.54
% 0.15/5.54 % -------------------------------------------------
% 0.15/5.54 % User time : 0.068 s
% 0.15/5.54 % System time : 0.012 s
% 0.15/5.54 % Total time : 0.080 s
% 0.15/5.54 % Maximum resident set size: 4852 pages
% 0.15/5.54
% 0.15/5.54 % -------------------------------------------------
% 0.15/5.54 % User time : 0.258 s
% 0.15/5.54 % System time : 0.042 s
% 0.15/5.54 % Total time : 0.300 s
% 0.15/5.54 % Maximum resident set size: 5376 pages
% 0.15/5.54 % E exiting
%------------------------------------------------------------------------------