%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV906-1 : TPTP v9.3.1. Released v4.1.0.
% 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 03:00:10 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.70s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 26 ( 19 unt; 3 nHn; 19 RR)
% Number of literals : 39 ( 7 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-3 aty)
% Number of variables : 19 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_MGF_0,axiom,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ c_Com_OWT(X1)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MGF_0) ).
cnf(cls_elem__set_1,axiom,
hBOOL(c_in(X1,c_Option_Oset(c_Option_Ooption_OSome(X1,X2),X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_elem__set_1) ).
cnf(cls_conjecture_3,negated_conjecture,
hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(v_y,tc_Com_Ocom),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_set__empty__eq_1,axiom,
c_Option_Oset(c_Option_Ooption_ONone(X1),X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__empty__eq_1) ).
cnf(cls_WT_OBody_0,axiom,
( hAPP(c_Com_Obody,X1) = c_Option_Ooption_ONone(tc_Com_Ocom)
| c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT_OBody_0) ).
cnf(cls_ex__in__conv_0,axiom,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).
cnf(cls_conjecture_5,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_9,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ c_Com_OWT(X1)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(fof_simplification,[status(thm)],[cls_MGF_0]) ).
cnf(c_0_10,axiom,
hBOOL(c_in(X1,c_Option_Oset(c_Option_Ooption_OSome(X1,X2),X2),X2)),
cls_elem__set_1 ).
cnf(c_0_11,negated_conjecture,
hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(v_y,tc_Com_Ocom),
cls_conjecture_3 ).
cnf(c_0_12,axiom,
c_Option_Oset(c_Option_Ooption_ONone(X1),X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_set__empty__eq_1 ).
cnf(c_0_13,axiom,
( hAPP(c_Com_Obody,X1) = c_Option_Ooption_ONone(tc_Com_Ocom)
| c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1)) ),
cls_WT_OBody_0 ).
cnf(c_0_14,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
inference(fof_simplification,[status(thm)],[cls_ex__in__conv_0]) ).
cnf(c_0_15,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(fof_simplification,[status(thm)],[cls_conjecture_5]) ).
cnf(c_0_16,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ c_Com_OWT(X1)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
c_0_9 ).
cnf(c_0_17,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
cls_conjecture_0 ).
cnf(c_0_18,negated_conjecture,
c_Com_OWT__bodies,
cls_conjecture_1 ).
cnf(c_0_19,negated_conjecture,
hBOOL(c_in(v_y,c_Option_Oset(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom),tc_Com_Ocom)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_20,plain,
( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1))
| c_Option_Oset(hAPP(c_Com_Obody,X1),tc_Com_Ocom) = c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Ocom,tc_bool)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_21,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
c_0_14 ).
cnf(c_0_22,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
c_0_15 ).
cnf(c_0_23,plain,
( ~ c_Com_OWT(X1)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_24,negated_conjecture,
c_Com_OWT(hAPP(c_Com_Ocom_OBODY,v_pn)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV906-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.57 % Computer : n015.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 09:34:22 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.58 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.62 Running first-order theorem proving
% 0.11/0.62 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
% 0.14/0.70 % Version: 3.5.1
% 0.14/0.70 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.14/0.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.70 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.14/0.70 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.70 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.70 % Starting sh5l with 300s (1) cores
% 0.14/0.70 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 1145241 completed with status 0
% 0.14/0.70 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 0.14/0.70 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.14/0.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.70 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.14/0.70 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.70 % No SInE strategy applied
% 0.14/0.70 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.14/0.70 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.70 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.70 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 0.14/0.70 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 0.14/0.70 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 0.14/0.70 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.14/0.70 % G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 1145251 completed with status 0
% 0.14/0.70 % Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 0.14/0.70 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.14/0.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.70 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.14/0.70 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.70 % No SInE strategy applied
% 0.14/0.70 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.14/0.70 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.70 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.70 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 0.14/0.70 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 0.14/0.70 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 0.14/0.70 % Preprocessing time : 0.005 s
% 0.14/0.70 % Presaturation interreduction done
% 0.14/0.70
% 0.14/0.70 % Proof found!
% 0.14/0.70 % SZS status Unsatisfiable
% 0.14/0.70 % SZS output start CNFRefutation
% See solution above
% 0.14/0.70 % Parsed axioms : 514
% 0.14/0.70 % Removed by relevancy pruning/SinE : 0
% 0.14/0.70 % Initial clauses : 514
% 0.14/0.70 % Removed in clause preprocessing : 3
% 0.14/0.70 % Initial clauses in saturation : 511
% 0.14/0.70 % Processed clauses : 780
% 0.14/0.70 % ...of these trivial : 17
% 0.14/0.70 % ...subsumed : 107
% 0.14/0.70 % ...remaining for further processing : 656
% 0.14/0.70 % Other redundant clauses eliminated : 2
% 0.14/0.70 % Clauses deleted for lack of memory : 0
% 0.14/0.70 % Backward-subsumed : 2
% 0.14/0.70 % Backward-rewritten : 5
% 0.14/0.70 % Generated clauses : 250
% 0.14/0.70 % ...of the previous two non-redundant : 163
% 0.14/0.70 % ...aggressively subsumed : 0
% 0.14/0.70 % Contextual simplify-reflections : 0
% 0.14/0.70 % Paramodulations : 240
% 0.14/0.70 % Factorizations : 2
% 0.14/0.70 % NegExts : 0
% 0.14/0.70 % Equation resolutions : 8
% 0.14/0.70 % Disequality decompositions : 0
% 0.14/0.70 % Total rewrite steps : 123
% 0.14/0.70 % ...of those cached : 45
% 0.14/0.70 % Propositional unsat checks : 0
% 0.14/0.70 % Propositional check models : 0
% 0.14/0.70 % Propositional check unsatisfiable : 0
% 0.14/0.70 % Propositional clauses : 0
% 0.14/0.70 % Propositional clauses after purity: 0
% 0.14/0.70 % Propositional unsat core size : 0
% 0.14/0.70 % Propositional preprocessing time : 0.000
% 0.14/0.70 % Propositional encoding time : 0.000
% 0.14/0.70 % Propositional solver time : 0.000
% 0.14/0.70 % Success case prop preproc time : 0.000
% 0.14/0.70 % Success case prop encoding time : 0.000
% 0.14/0.70 % Success case prop solver time : 0.000
% 0.14/0.70 % Current number of processed clauses : 238
% 0.14/0.70 % Positive orientable unit clauses : 114
% 0.14/0.70 % Positive unorientable unit clauses: 2
% 0.14/0.70 % Negative unit clauses : 42
% 0.14/0.70 % Non-unit-clauses : 80
% 0.14/0.70 % Current number of unprocessed clauses: 303
% 0.14/0.70 % ...number of literals in the above : 658
% 0.14/0.70 % Current number of archived formulas : 0
% 0.14/0.70 % Current number of archived clauses : 419
% 0.14/0.70 % Clause-clause subsumption calls (NU) : 19819
% 0.14/0.70 % Rec. Clause-clause subsumption calls : 14141
% 0.14/0.70 % Non-unit clause-clause subsumptions : 54
% 0.14/0.70 % Unit Clause-clause subsumption calls : 1547
% 0.14/0.70 % Rewrite failures with RHS unbound : 0
% 0.14/0.70 % BW rewrite match attempts : 329
% 0.14/0.70 % BW rewrite match successes : 38
% 0.14/0.70 % Condensation attempts : 0
% 0.14/0.70 % Condensation successes : 0
% 0.14/0.70 % Termbank termtop insertions : 21799
% 0.14/0.70 % Search garbage collected termcells : 919
% 0.14/0.70
% 0.14/0.70 % -------------------------------------------------
% 0.14/0.70 % User time : 0.044 s
% 0.14/0.70 % System time : 0.006 s
% 0.14/0.70 % Total time : 0.049 s
% 0.14/0.70 % Maximum resident set size: 4536 pages
% 0.14/0.70
% 0.14/0.70 % -------------------------------------------------
% 0.14/0.70 % User time : 0.199 s
% 0.14/0.70 % System time : 0.020 s
% 0.14/0.70 % Total time : 0.219 s
% 0.14/0.70 % Maximum resident set size: 5120 pages
% 0.14/0.70 % E exiting
%------------------------------------------------------------------------------