%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SCT126+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 02:07:55 PM UTC 2026
% Result : Theorem 8.75s 2.18s
% Output : CNFRefutation 8.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 13 unt; 0 def)
% Number of atoms : 27 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 13 ~; 5 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-4 aty)
% Number of variables : 37 ( 3 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_PiE,axiom,
! [X4,X8,X9,X2,X19,X7] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X7,X19)),X2),c_FuncSet_OPi(X7,X19,X9,X8)))
=> ( ~ hBOOL(hAPP(hAPP(c_member(X19),hAPP(X2,X4)),hAPP(X8,X4)))
=> ~ hBOOL(hAPP(hAPP(c_member(X7),X4),X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_PiE) ).
fof(help_c__COMBK__1,axiom,
! [X81,X80,X19,X7] : hAPP(c_COMBK(X7,X19,X80),X81) = X80,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBK__1) ).
fof(fact_assms_I1_J,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_F),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_assms_I1_J) ).
fof(fact__096Q_A_058_AProf_096,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096Q_A_058_AProf_096) ).
fof(c_0_5,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_6,plain,
! [X4,X8,X9,X2,X19,X7] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X7,X19)),X2),c_FuncSet_OPi(X7,X19,X9,X8)))
=> ( ~ hBOOL(hAPP(hAPP(c_member(X19),hAPP(X2,X4)),hAPP(X8,X4)))
=> ~ hBOOL(hAPP(hAPP(c_member(X7),X4),X9)) ) ),
inference(fof_simplification,[status(thm)],[fact_PiE]) ).
fof(c_0_7,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X159,X160,X161,X162,X163,X164] :
( ~ hBOOL(hAPP(hAPP(c_member(X164),X159),X161))
| hBOOL(hAPP(hAPP(c_member(X163),hAPP(X162,X159)),hAPP(X160,X159)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X164,X163)),X162),c_FuncSet_OPi(X164,X163,X161,X160))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_9,plain,
! [X2274,X2275,X2276,X2277] : hAPP(c_COMBK(X2277,X2276,X2275),X2274) = X2275,
inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).
fof(c_0_10,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X6),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,X5)))
| hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,X6)),hAPP(X5,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_F),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))),
inference(split_conjunct,[status(thm)],[fact_assms_I1_J]) ).
cnf(c_0_13,plain,
hAPP(c_COMBK(X1,X2,X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,X1)),c_Arrow__Order__Mirabelle_OLin)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_16,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
inference(split_conjunct,[status(thm)],[fact__096Q_A_058_AProf_096]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SCT126+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n002.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 04:35:46 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.56 Running first-order theorem proving
% 0.25/0.56 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
% 8.75/2.18 % Version: 3.5.1
% 8.75/2.18 % Preprocessing class: FSLSSMSMSSSNFFN.
% 8.75/2.18 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.75/2.18 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.75/2.18 % Starting new_bool_3 with 300s (1) cores
% 8.75/2.18 % Starting new_bool_1 with 300s (1) cores
% 8.75/2.18 % Starting sh5l with 300s (1) cores
% 8.75/2.18 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2434096 completed with status 0
% 8.75/2.18 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 8.75/2.18 % Preprocessing class: FSLSSMSMSSSNFFN.
% 8.75/2.18 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.75/2.18 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.75/2.18 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.75/2.18 % No SInE strategy applied
% 8.75/2.18 % Search class: FGHSM-FSLM33-DFFFFFNN
% 8.75/2.18 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 8.75/2.18 % Starting SubtermCWHack with 136s (1) cores
% 8.75/2.18 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 8.75/2.18 % Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 8.75/2.18 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 8.75/2.18 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 8.75/2.18 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2434103 completed with status 0
% 8.75/2.18 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 8.75/2.18 % Preprocessing class: FSLSSMSMSSSNFFN.
% 8.75/2.18 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.75/2.18 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.75/2.18 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.75/2.18 % No SInE strategy applied
% 8.75/2.18 % Search class: FGHSM-FSLM33-DFFFFFNN
% 8.75/2.18 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 8.75/2.18 % Starting SubtermCWHack with 136s (1) cores
% 8.75/2.18 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 8.75/2.18 % Preprocessing time : 0.032 s
% 8.75/2.18 % Presaturation interreduction done
% 8.75/2.18
% 8.75/2.18 % Proof found!
% 8.75/2.18 % SZS status Theorem
% 8.75/2.18 % SZS output start CNFRefutation
% See solution above
% 8.75/2.18 % Parsed axioms : 525
% 8.75/2.18 % Removed by relevancy pruning/SinE : 0
% 8.75/2.18 % Initial clauses : 793
% 8.75/2.18 % Removed in clause preprocessing : 33
% 8.75/2.18 % Initial clauses in saturation : 760
% 8.75/2.18 % Processed clauses : 1542
% 8.75/2.18 % ...of these trivial : 25
% 8.75/2.18 % ...subsumed : 274
% 8.75/2.18 % ...remaining for further processing : 1243
% 8.75/2.18 % Other redundant clauses eliminated : 112
% 8.75/2.18 % Clauses deleted for lack of memory : 0
% 8.75/2.18 % Backward-subsumed : 6
% 8.75/2.18 % Backward-rewritten : 6
% 8.75/2.18 % Generated clauses : 6991
% 8.75/2.18 % ...of the previous two non-redundant : 6170
% 8.75/2.18 % ...aggressively subsumed : 0
% 8.75/2.18 % Contextual simplify-reflections : 2
% 8.75/2.18 % Paramodulations : 6876
% 8.75/2.18 % Factorizations : 0
% 8.75/2.18 % NegExts : 0
% 8.75/2.18 % Equation resolutions : 120
% 8.75/2.18 % Disequality decompositions : 0
% 8.75/2.18 % Total rewrite steps : 2199
% 8.75/2.18 % ...of those cached : 1552
% 8.75/2.18 % Propositional unsat checks : 0
% 8.75/2.18 % Propositional check models : 0
% 8.75/2.18 % Propositional check unsatisfiable : 0
% 8.75/2.18 % Propositional clauses : 0
% 8.75/2.18 % Propositional clauses after purity: 0
% 8.75/2.18 % Propositional unsat core size : 0
% 8.75/2.18 % Propositional preprocessing time : 0.000
% 8.75/2.18 % Propositional encoding time : 0.000
% 8.75/2.18 % Propositional solver time : 0.000
% 8.75/2.18 % Success case prop preproc time : 0.000
% 8.75/2.18 % Success case prop encoding time : 0.000
% 8.75/2.18 % Success case prop solver time : 0.000
% 8.75/2.18 % Current number of processed clauses : 539
% 8.75/2.18 % Positive orientable unit clauses : 153
% 8.75/2.18 % Positive unorientable unit clauses: 8
% 8.75/2.18 % Negative unit clauses : 31
% 8.75/2.18 % Non-unit-clauses : 347
% 8.75/2.18 % Current number of unprocessed clauses: 5926
% 8.75/2.18 % ...number of literals in the above : 14850
% 8.75/2.18 % Current number of archived formulas : 0
% 8.75/2.18 % Current number of archived clauses : 625
% 8.75/2.18 % Clause-clause subsumption calls (NU) : 96992
% 8.75/2.18 % Rec. Clause-clause subsumption calls : 46201
% 8.75/2.18 % Non-unit clause-clause subsumptions : 171
% 8.75/2.18 % Unit Clause-clause subsumption calls : 2424
% 8.75/2.18 % Rewrite failures with RHS unbound : 3
% 8.75/2.18 % BW rewrite match attempts : 931
% 8.75/2.18 % BW rewrite match successes : 61
% 8.75/2.18 % Condensation attempts : 0
% 8.75/2.18 % Condensation successes : 0
% 8.75/2.18 % Termbank termtop insertions : 251110
% 8.75/2.18 % Search garbage collected termcells : 12779
% 8.75/2.18
% 8.75/2.18 % -------------------------------------------------
% 8.75/2.18 % User time : 0.719 s
% 8.75/2.18 % System time : 0.043 s
% 8.75/2.18 % Total time : 0.762 s
% 8.75/2.18 % Maximum resident set size: 7232 pages
% 8.75/2.18
% 8.75/2.18 % -------------------------------------------------
% 8.75/2.18 % User time : 5.360 s
% 8.75/2.18 % System time : 0.273 s
% 8.75/2.18 % Total time : 5.633 s
% 8.75/2.18 % Maximum resident set size: 5632 pages
% 8.75/2.18 % E exiting
%------------------------------------------------------------------------------