%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW390+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 03:10:26 PM UTC 2026
% Result : Theorem 51.27s 9.63s
% Output : CNFRefutation 51.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 18 unt; 0 def)
% Number of atoms : 24 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 48 ( 11 sgn 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
( ? [X28,X145] : v_P(X28,X145)
=> ? [X308,X309] : c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X308),v_c),X309)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(fact_singleton__conv2,axiom,
! [X6,X5] : hAPP(c_Set_OCollect(X5),hAPP(c_fequal,X6)) = hAPP(hAPP(c_Set_Oinsert(X5),X6),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_singleton__conv2) ).
fof(fact_Collect__def,axiom,
! [X23,X5] : hAPP(c_Set_OCollect(X5),X23) = X23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__def) ).
fof(fact_empty__def,axiom,
! [X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X5),hAPP(c_COMBK(tc_HOL_Obool,X5),c_fFalse)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_empty__def) ).
fof(fact_falseE,axiom,
! [X26,X20,X4,X5] : c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X5),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),X20),X26)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_falseE) ).
fof(c_0_5,negated_conjecture,
~ ( ? [X28,X145] : v_P(X28,X145)
=> ? [X308,X309] : c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X308),v_c),X309)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_6,plain,
! [X11039,X11040] : hAPP(c_Set_OCollect(X11040),hAPP(c_fequal,X11039)) = hAPP(hAPP(c_Set_Oinsert(X11040),X11039),c_Orderings_Obot__class_Obot(tc_fun(X11040,tc_HOL_Obool))),
inference(variable_rename,[status(thm)],[fact_singleton__conv2]) ).
fof(c_0_7,plain,
! [X10985,X10986] : hAPP(c_Set_OCollect(X10986),X10985) = X10985,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_8,plain,
! [X10987] : c_Orderings_Obot__class_Obot(tc_fun(X10987,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X10987),hAPP(c_COMBK(tc_HOL_Obool,X10987),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_9,negated_conjecture,
! [X17651,X17652] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X17651),v_c),X17652)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
& v_P(esk576_0,esk577_0) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
cnf(c_0_10,plain,
hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)) = hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_12,plain,
! [X7423,X7424,X7425,X7426] : c_Hoare__Mirabelle_Ohoare__derivs(X7426,X7425,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X7426)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X7426),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X7426),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),X7424),X7423)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X7426),tc_HOL_Obool)))),
inference(variable_rename,[status(thm)],[fact_falseE]) ).
cnf(c_0_13,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X1),hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X1),v_c),X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_fequal,X2),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X1),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),X3),X4)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(rw,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_18,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X1),v_c),X2))),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),X3),X4))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_15]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_18,c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW390+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n015.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 09:53:36 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.52 Running first-order theorem proving
% 0.27/0.52 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 51.27/9.63 % Version: 3.5.1
% 51.27/9.63 % Preprocessing class: FMLMSMSMSSSNFFN.
% 51.27/9.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 51.27/9.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 51.27/9.63 % Starting new_bool_3 with 300s (1) cores
% 51.27/9.63 % Starting new_bool_1 with 300s (1) cores
% 51.27/9.63 % Starting sh5l with 300s (1) cores
% 51.27/9.63 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1176868 completed with status 0
% 51.27/9.63 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 51.27/9.63 % Preprocessing class: FMLMSMSMSSSNFFN.
% 51.27/9.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 51.27/9.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 51.27/9.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 51.27/9.63 % No SInE strategy applied
% 51.27/9.63 % Search class: FGHSM-SMLM33-DFFFFFNN
% 51.27/9.63 % Scheduled 7 strats onto 5 cores with 1498 seconds (1498 total)
% 51.27/9.63 % Starting SubtermCWHack with 135s (1) cores
% 51.27/9.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 51.27/9.63 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 135s (1) cores
% 51.27/9.63 % Starting SAT001_CA_MinMin_p005000_rr with 135s (1) cores
% 51.27/9.63 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 135s (1) cores
% 51.27/9.63 % SAT001_CA_MinMin_p005000_rr with pid 1176878 completed with status 0
% 51.27/9.63 % Result found by SAT001_CA_MinMin_p005000_rr
% 51.27/9.63 % Preprocessing class: FMLMSMSMSSSNFFN.
% 51.27/9.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 51.27/9.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 51.27/9.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 51.27/9.63 % No SInE strategy applied
% 51.27/9.63 % Search class: FGHSM-SMLM33-DFFFFFNN
% 51.27/9.63 % Scheduled 7 strats onto 5 cores with 1498 seconds (1498 total)
% 51.27/9.63 % Starting SubtermCWHack with 135s (1) cores
% 51.27/9.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 51.27/9.63 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 135s (1) cores
% 51.27/9.63 % Starting SAT001_CA_MinMin_p005000_rr with 135s (1) cores
% 51.27/9.63 % Preprocessing time : 0.307 s
% 51.27/9.63 % Presaturation interreduction done
% 51.27/9.63
% 51.27/9.63 % Proof found!
% 51.27/9.63 % SZS status Theorem
% 51.27/9.63 % SZS output start CNFRefutation
% See solution above
% 51.27/9.63 % Parsed axioms : 5228
% 51.27/9.63 % Removed by relevancy pruning/SinE : 0
% 51.27/9.63 % Initial clauses : 7593
% 51.27/9.63 % Removed in clause preprocessing : 228
% 51.27/9.63 % Initial clauses in saturation : 7365
% 51.27/9.63 % Processed clauses : 13833
% 51.27/9.63 % ...of these trivial : 296
% 51.27/9.63 % ...subsumed : 3304
% 51.27/9.63 % ...remaining for further processing : 10233
% 51.27/9.63 % Other redundant clauses eliminated : 618
% 51.27/9.63 % Clauses deleted for lack of memory : 0
% 51.27/9.63 % Backward-subsumed : 66
% 51.27/9.63 % Backward-rewritten : 310
% 51.27/9.63 % Generated clauses : 32811
% 51.27/9.63 % ...of the previous two non-redundant : 30093
% 51.27/9.63 % ...aggressively subsumed : 0
% 51.27/9.63 % Contextual simplify-reflections : 29
% 51.27/9.63 % Paramodulations : 32220
% 51.27/9.63 % Factorizations : 0
% 51.27/9.63 % NegExts : 0
% 51.27/9.63 % Equation resolutions : 657
% 51.27/9.63 % Disequality decompositions : 0
% 51.27/9.63 % Total rewrite steps : 13247
% 51.27/9.63 % ...of those cached : 9295
% 51.27/9.63 % Propositional unsat checks : 3
% 51.27/9.63 % Propositional check models : 2
% 51.27/9.63 % Propositional check unsatisfiable : 0
% 51.27/9.63 % Propositional clauses : 0
% 51.27/9.63 % Propositional clauses after purity: 0
% 51.27/9.63 % Propositional unsat core size : 0
% 51.27/9.63 % Propositional preprocessing time : 0.000
% 51.27/9.63 % Propositional encoding time : 0.232
% 51.27/9.63 % Propositional solver time : 0.104
% 51.27/9.63 % Success case prop preproc time : 0.000
% 51.27/9.63 % Success case prop encoding time : 0.000
% 51.27/9.63 % Success case prop solver time : 0.000
% 51.27/9.63 % Current number of processed clauses : 3410
% 51.27/9.63 % Positive orientable unit clauses : 1112
% 51.27/9.63 % Positive unorientable unit clauses: 2
% 51.27/9.63 % Negative unit clauses : 384
% 51.27/9.63 % Non-unit-clauses : 1912
% 51.27/9.63 % Current number of unprocessed clauses: 26464
% 51.27/9.63 % ...number of literals in the above : 59259
% 51.27/9.63 % Current number of archived formulas : 0
% 51.27/9.63 % Current number of archived clauses : 6370
% 51.27/9.63 % Clause-clause subsumption calls (NU) : 4397024
% 51.27/9.63 % Rec. Clause-clause subsumption calls : 1795550
% 51.27/9.63 % Non-unit clause-clause subsumptions : 2515
% 51.27/9.63 % Unit Clause-clause subsumption calls : 76472
% 51.27/9.63 % Rewrite failures with RHS unbound : 343
% 51.27/9.63 % BW rewrite match attempts : 31502
% 51.27/9.63 % BW rewrite match successes : 551
% 51.27/9.63 % Condensation attempts : 47253
% 51.27/9.63 % Condensation successes : 286
% 51.27/9.63 % Termbank termtop insertions : 2162256
% 51.27/9.63 % Search garbage collected termcells : 102322
% 51.27/9.63
% 51.27/9.63 % -------------------------------------------------
% 51.27/9.63 % User time : 8.050 s
% 51.27/9.63 % System time : 0.269 s
% 51.27/9.63 % Total time : 8.318 s
% 51.27/9.63 % Maximum resident set size: 42620 pages
% 51.27/9.63
% 51.27/9.63 % -------------------------------------------------
% 51.27/9.63 % User time : 31.467 s
% 51.27/9.63 % System time : 1.106 s
% 51.27/9.63 % Total time : 32.574 s
% 51.27/9.63 % Maximum resident set size: 12288 pages
% 51.27/9.63 % E exiting
%------------------------------------------------------------------------------