%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW334+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 : n017.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 03:10:19 PM UTC 2026
% Result : Theorem 135.70s 25.27s
% Output : CNFRefutation 135.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 20 unt; 0 def)
% Number of atoms : 46 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 14 ~; 10 |; 2 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-3 aty)
% Number of variables : 64 ( 6 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__mem__eq,axiom,
! [X20,X8] : hAPP(c_Set_OCollect(X8),hAPP(hAPP(c_COMBC(X8,tc_fun(X8,tc_HOL_Obool),tc_HOL_Obool),c_member(X8)),X20)) = X20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__mem__eq) ).
fof(fact_Collect__def,axiom,
! [X6,X8] : hAPP(c_Set_OCollect(X8),X6) = X6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__def) ).
fof(help_c__COMBC__1,axiom,
! [X154,X4,X6,X8,X169,X22] : hAPP(hAPP(hAPP(c_COMBC(X22,X169,X8),X6),X4),X154) = hAPP(hAPP(X6,X154),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBC__1) ).
fof(conj_3,hypothesis,
! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X3),v_Procs))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X3)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3))),v_Q(X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).
fof(conj_4,conjecture,
c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
fof(fact_Body__triple__valid__Suc,axiom,
! [X4,X5,X6,X7,X8] :
( c_Hoare__Mirabelle_Otriple__valid(X8,X7,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X8),X6),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X5))),X4))
<=> c_Hoare__Mirabelle_Otriple__valid(X8,hAPP(c_Nat_OSuc,X7),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X8),X6),hAPP(c_Com_Ocom_OBODY,X5)),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Body__triple__valid__Suc) ).
fof(fact_mem__def,axiom,
! [X20,X48,X8] :
( hBOOL(hAPP(hAPP(c_member(X8),X48),X20))
<=> hBOOL(hAPP(X20,X48)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mem__def) ).
fof(conj_0,hypothesis,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(c_0_8,plain,
! [X6590,X6591] : hAPP(c_Set_OCollect(X6591),hAPP(hAPP(c_COMBC(X6591,tc_fun(X6591,tc_HOL_Obool),tc_HOL_Obool),c_member(X6591)),X6590)) = X6590,
inference(variable_rename,[status(thm)],[fact_Collect__mem__eq]) ).
fof(c_0_9,plain,
! [X6579,X6580] : hAPP(c_Set_OCollect(X6580),X6579) = X6579,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_10,plain,
! [X17485,X17486,X17487,X17488,X17489,X17490] : hAPP(hAPP(hAPP(c_COMBC(X17490,X17489,X17488),X17487),X17486),X17485) = hAPP(hAPP(X17487,X17485),X17486),
inference(variable_rename,[status(thm)],[help_c__COMBC__1]) ).
cnf(c_0_11,plain,
hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,hypothesis,
! [X17523] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X17523)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X17523))),v_Q(X17523)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X17523),v_Procs)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_3])])]) ).
cnf(c_0_14,plain,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2) = X2,
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_16,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))),
inference(assume_negation,[status(cth)],[conj_4]) ).
fof(c_0_17,plain,
! [X325,X326,X327,X328,X329] :
( ( c_Hoare__Mirabelle_Otriple__valid(X329,X328,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X329),X327),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X326))),X325))
| ~ c_Hoare__Mirabelle_Otriple__valid(X329,hAPP(c_Nat_OSuc,X328),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X329),X327),hAPP(c_Com_Ocom_OBODY,X326)),X325)) )
& ( c_Hoare__Mirabelle_Otriple__valid(X329,hAPP(c_Nat_OSuc,X328),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X329),X327),hAPP(c_Com_Ocom_OBODY,X326)),X325))
| ~ c_Hoare__Mirabelle_Otriple__valid(X329,X328,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X329),X327),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X326))),X325)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Body__triple__valid__Suc])])]) ).
cnf(c_0_18,hypothesis,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs))
| c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),v_Q(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
hAPP(hAPP(c_member(X1),X2),X3) = hAPP(X3,X2),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_20,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_21,plain,
! [X414,X415,X416] :
( ( hBOOL(hAPP(hAPP(c_member(X416),X415),X414))
| ~ hBOOL(hAPP(X414,X415)) )
& ( hBOOL(hAPP(X414,X415))
| ~ hBOOL(hAPP(hAPP(c_member(X416),X415),X414)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])])]) ).
cnf(c_0_22,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(X1,X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5))
| c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(c_Nat_OSuc,X2),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,hypothesis,
( ~ hBOOL(hAPP(v_Procs,X1))
| c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),v_Q(X1))) ),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_24,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))),
inference(fof_nnf,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| hBOOL(hAPP(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,hypothesis,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs)),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_27,hypothesis,
( ~ hBOOL(hAPP(v_Procs,X1))
| c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Com_Ocom_OBODY,X1)),v_Q(X1))) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,hypothesis,
hBOOL(hAPP(v_Procs,v_x)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_27,c_0_28,c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW334+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.48 % Computer : n017.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.49 % CPULimit : 300
% 0.22/0.49 % WCLimit : 300
% 0.22/0.49 % DateTime : Mon Sep 21 09:43:27 UTC 2026
% 0.22/0.49 % CPUTime :
% 0.22/0.49 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.57 Running first-order theorem proving
% 0.25/0.57 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
% 135.70/25.27 % Version: 3.5.1
% 135.70/25.27 % Preprocessing class: FMLMSMSMSSSNFFN.
% 135.70/25.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 135.70/25.27 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 135.70/25.27 % Starting new_bool_3 with 300s (1) cores
% 135.70/25.27 % Starting new_bool_1 with 300s (1) cores
% 135.70/25.27 % Starting sh5l with 300s (1) cores
% 135.70/25.27 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2021391 completed with status 0
% 135.70/25.27 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 135.70/25.27 % Preprocessing class: FMLMSMSMSSSNFFN.
% 135.70/25.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 135.70/25.27 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 135.70/25.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 135.70/25.27 % No SInE strategy applied
% 135.70/25.27 % Search class: FGHSM-SMLM33-DFFFFFNN
% 135.70/25.27 % Scheduled 7 strats onto 5 cores with 1499 seconds (1499 total)
% 135.70/25.27 % Starting SubtermCWHack with 135s (1) cores
% 135.70/25.27 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 135.70/25.27 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 135s (1) cores
% 135.70/25.27 % Starting SAT001_CA_MinMin_p005000_rr with 135s (1) cores
% 135.70/25.27 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 135s (1) cores
% 135.70/25.27 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2021399 completed with status 0
% 135.70/25.27 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 135.70/25.27 % Preprocessing class: FMLMSMSMSSSNFFN.
% 135.70/25.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 135.70/25.27 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 135.70/25.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 135.70/25.27 % No SInE strategy applied
% 135.70/25.27 % Search class: FGHSM-SMLM33-DFFFFFNN
% 135.70/25.27 % Scheduled 7 strats onto 5 cores with 1499 seconds (1499 total)
% 135.70/25.27 % Starting SubtermCWHack with 135s (1) cores
% 135.70/25.27 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 135.70/25.27 % Preprocessing time : 0.332 s
% 135.70/25.27 % Presaturation interreduction done
% 135.70/25.27 % SatCheck found unsatisfiable ground set
% 135.70/25.27
% 135.70/25.27 % Proof found!
% 135.70/25.27 % SZS status Theorem
% 135.70/25.27 % SZS output start CNFRefutation
% See solution above
% 135.70/25.27 % Parsed axioms : 5209
% 135.70/25.27 % Removed by relevancy pruning/SinE : 0
% 135.70/25.27 % Initial clauses : 7489
% 135.70/25.27 % Removed in clause preprocessing : 249
% 135.70/25.27 % Initial clauses in saturation : 7240
% 135.70/25.27 % Processed clauses : 12626
% 135.70/25.27 % ...of these trivial : 283
% 135.70/25.27 % ...subsumed : 2343
% 135.70/25.27 % ...remaining for further processing : 10000
% 135.70/25.27 % Other redundant clauses eliminated : 2696
% 135.70/25.27 % Clauses deleted for lack of memory : 0
% 135.70/25.27 % Backward-subsumed : 18
% 135.70/25.27 % Backward-rewritten : 408
% 135.70/25.27 % Generated clauses : 136374
% 135.70/25.27 % ...of the previous two non-redundant : 127133
% 135.70/25.27 % ...aggressively subsumed : 0
% 135.70/25.27 % Contextual simplify-reflections : 23
% 135.70/25.27 % Paramodulations : 133657
% 135.70/25.27 % Factorizations : 8
% 135.70/25.27 % NegExts : 0
% 135.70/25.27 % Equation resolutions : 2772
% 135.70/25.27 % Disequality decompositions : 0
% 135.70/25.27 % Total rewrite steps : 43206
% 135.70/25.27 % ...of those cached : 34181
% 135.70/25.27 % Propositional unsat checks : 3
% 135.70/25.27 % Propositional check models : 2
% 135.70/25.27 % Propositional check unsatisfiable : 1
% 135.70/25.27 % Propositional clauses : 129275
% 135.70/25.27 % Propositional clauses after purity: 11295
% 135.70/25.27 % Propositional unsat core size : 3
% 135.70/25.27 % Propositional preprocessing time : 0.000
% 135.70/25.27 % Propositional encoding time : 0.972
% 135.70/25.27 % Propositional solver time : 0.103
% 135.70/25.27 % Success case prop preproc time : 0.000
% 135.70/25.27 % Success case prop encoding time : 0.822
% 135.70/25.27 % Success case prop solver time : 0.051
% 135.70/25.27 % Current number of processed clauses : 3305
% 135.70/25.27 % Positive orientable unit clauses : 1005
% 135.70/25.27 % Positive unorientable unit clauses: 28
% 135.70/25.27 % Negative unit clauses : 326
% 135.70/25.27 % Non-unit-clauses : 1946
% 135.70/25.27 % Current number of unprocessed clauses: 125970
% 135.70/25.27 % ...number of literals in the above : 372338
% 135.70/25.27 % Current number of archived formulas : 0
% 135.70/25.27 % Current number of archived clauses : 6242
% 135.70/25.27 % Clause-clause subsumption calls (NU) : 3935913
% 135.70/25.27 % Rec. Clause-clause subsumption calls : 1879059
% 135.70/25.27 % Non-unit clause-clause subsumptions : 1113
% 135.70/25.27 % Unit Clause-clause subsumption calls : 53671
% 135.70/25.27 % Rewrite failures with RHS unbound : 0
% 135.70/25.27 % BW rewrite match attempts : 42356
% 135.70/25.27 % BW rewrite match successes : 800
% 135.70/25.27 % Condensation attempts : 0
% 135.70/25.27 % Condensation successes : 0
% 135.70/25.27 % Termbank termtop insertions : 6346780
% 135.70/25.27 % Search garbage collected termcells : 99194
% 135.70/25.27
% 135.70/25.27 % -------------------------------------------------
% 135.70/25.27 % User time : 14.449 s
% 135.70/25.27 % System time : 0.453 s
% 135.70/25.27 % Total time : 14.902 s
% 135.70/25.27 % Maximum resident set size: 42640 pages
% 135.70/25.27
% 135.70/25.27 % -------------------------------------------------
% 135.70/25.27 % User time : 94.740 s
% 135.70/25.27 % System time : 2.236 s
% 135.70/25.27 % Total time : 96.976 s
% 135.70/25.27 % Maximum resident set size: 12544 pages
% 135.70/25.27 % E exiting
%------------------------------------------------------------------------------