%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV906-1 : 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 : n001.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 03:07:06 PM UTC 2026
% Result : Unsatisfiable 0.15s 10.55s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 14 unt; 2 nHn; 20 RR)
% Number of literals : 36 ( 9 equ; 19 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 15 ( 4 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/sandbox2/benchmark/theBenchmark.p',cls_MGF_0) ).
cnf(cls_not__Some__eq_1,axiom,
c_Option_Ooption_ONone(X1) != c_Option_Ooption_OSome(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Some__eq_1) ).
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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_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/sandbox2/benchmark/theBenchmark.p',cls_WT_OBody_0) ).
cnf(cls_conjecture_3,negated_conjecture,
hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(v_y,tc_Com_Ocom),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_0_7,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_8,plain,
c_Option_Ooption_ONone(X1) != c_Option_Ooption_OSome(X2,X1),
inference(fof_simplification,[status(thm)],[cls_not__Some__eq_1]) ).
cnf(c_0_9,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_10,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_7 ).
cnf(c_0_11,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
cls_conjecture_0 ).
cnf(c_0_12,negated_conjecture,
c_Com_OWT__bodies,
cls_conjecture_1 ).
cnf(c_0_13,plain,
c_Option_Ooption_ONone(X1) != c_Option_Ooption_OSome(X2,X1),
c_0_8 ).
cnf(c_0_14,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_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),
c_0_9 ).
cnf(c_0_16,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_10,c_0_11]),c_0_12])]) ).
cnf(c_0_17,plain,
( hAPP(c_Com_Obody,X1) != c_Option_Ooption_OSome(X2,tc_Com_Ocom)
| c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(v_y,tc_Com_Ocom),
cls_conjecture_3 ).
cnf(c_0_19,negated_conjecture,
~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,v_pn)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( hAPP(c_Com_Obody,X1) != hAPP(c_Com_Obody,v_pn)
| c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_19,c_0_20]),
[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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/10.38 % Computer : n001.cluster.edu
% 0.12/10.38 % Model : x86_64 x86_64
% 0.12/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.38 % Memory : 8046.5625MB
% 0.12/10.38 % OS : Linux 6.8.0-71-generic
% 0.12/10.38 % CPULimit : 300
% 0.12/10.38 % WCLimit : 300
% 0.12/10.38 % DateTime : Mon Sep 21 09:36:54 UTC 2026
% 0.12/10.38 % CPUTime :
% 0.12/10.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/10.43 Running first-order theorem proving
% 0.15/10.43 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
% 0.15/10.54 % Version: 3.5.1
% 0.15/10.54 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.15/10.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.54 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.15/10.54 % Starting new_bool_3 with 300s (1) cores
% 0.15/10.54 % Starting new_bool_1 with 300s (1) cores
% 0.15/10.54 % Starting sh5l with 300s (1) cores
% 0.15/10.54 % new_bool_3 with pid 2798468 completed with status 0
% 0.15/10.54 % Result found by new_bool_3
% 0.15/10.54 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.15/10.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.54 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.15/10.54 % Starting new_bool_3 with 300s (1) cores
% 0.15/10.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/10.54 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/10.54 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.15/10.54 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.15/10.54 % Starting SubtermCWHack with 28s (1) cores
% 0.15/10.54 % SubtermCWHack with pid 2798471 completed with status 0
% 0.15/10.54 % Result found by SubtermCWHack
% 0.15/10.55 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.15/10.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.55 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.15/10.55 % Starting new_bool_3 with 300s (1) cores
% 0.15/10.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/10.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/10.55 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.15/10.55 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.15/10.55 % Starting SubtermCWHack with 28s (1) cores
% 0.15/10.55 % Preprocessing time : 0.005 s
% 0.15/10.55
% 0.15/10.55 % Proof found!
% 0.15/10.55 % SZS status Unsatisfiable
% 0.15/10.55 % SZS output start CNFRefutation
% See solution above
% 0.15/10.55 % Parsed axioms : 514
% 0.15/10.55 % Removed by relevancy pruning/SinE : 156
% 0.15/10.55 % Initial clauses : 358
% 0.15/10.55 % Removed in clause preprocessing : 0
% 0.15/10.55 % Initial clauses in saturation : 358
% 0.15/10.55 % Processed clauses : 1101
% 0.15/10.55 % ...of these trivial : 83
% 0.15/10.55 % ...subsumed : 573
% 0.15/10.55 % ...remaining for further processing : 445
% 0.15/10.55 % Other redundant clauses eliminated : 22
% 0.15/10.55 % Clauses deleted for lack of memory : 0
% 0.15/10.55 % Backward-subsumed : 1
% 0.15/10.55 % Backward-rewritten : 6
% 0.15/10.55 % Generated clauses : 4476
% 0.15/10.55 % ...of the previous two non-redundant : 2709
% 0.15/10.55 % ...aggressively subsumed : 0
% 0.15/10.55 % Contextual simplify-reflections : 0
% 0.15/10.55 % Paramodulations : 4426
% 0.15/10.55 % Factorizations : 2
% 0.15/10.55 % NegExts : 0
% 0.15/10.55 % Equation resolutions : 48
% 0.15/10.55 % Disequality decompositions : 0
% 0.15/10.55 % Total rewrite steps : 2442
% 0.15/10.55 % ...of those cached : 1550
% 0.15/10.55 % Propositional unsat checks : 0
% 0.15/10.55 % Propositional check models : 0
% 0.15/10.55 % Propositional check unsatisfiable : 0
% 0.15/10.55 % Propositional clauses : 0
% 0.15/10.55 % Propositional clauses after purity: 0
% 0.15/10.55 % Propositional unsat core size : 0
% 0.15/10.55 % Propositional preprocessing time : 0.000
% 0.15/10.55 % Propositional encoding time : 0.000
% 0.15/10.55 % Propositional solver time : 0.000
% 0.15/10.55 % Success case prop preproc time : 0.000
% 0.15/10.55 % Success case prop encoding time : 0.000
% 0.15/10.55 % Success case prop solver time : 0.000
% 0.15/10.55 % Current number of processed clauses : 436
% 0.15/10.55 % Positive orientable unit clauses : 157
% 0.15/10.55 % Positive unorientable unit clauses: 5
% 0.15/10.55 % Negative unit clauses : 44
% 0.15/10.55 % Non-unit-clauses : 230
% 0.15/10.55 % Current number of unprocessed clauses: 1957
% 0.15/10.55 % ...number of literals in the above : 4144
% 0.15/10.55 % Current number of archived formulas : 0
% 0.15/10.55 % Current number of archived clauses : 7
% 0.15/10.55 % Clause-clause subsumption calls (NU) : 20805
% 0.15/10.55 % Rec. Clause-clause subsumption calls : 17767
% 0.15/10.55 % Non-unit clause-clause subsumptions : 410
% 0.15/10.55 % Unit Clause-clause subsumption calls : 559
% 0.15/10.55 % Rewrite failures with RHS unbound : 0
% 0.15/10.55 % BW rewrite match attempts : 194
% 0.15/10.55 % BW rewrite match successes : 32
% 0.15/10.55 % Condensation attempts : 0
% 0.15/10.55 % Condensation successes : 0
% 0.15/10.55 % Termbank termtop insertions : 64953
% 0.15/10.55 % Search garbage collected termcells : 1274
% 0.15/10.55
% 0.15/10.55 % -------------------------------------------------
% 0.15/10.55 % User time : 0.081 s
% 0.15/10.55 % System time : 0.016 s
% 0.15/10.55 % Total time : 0.098 s
% 0.15/10.55 % Maximum resident set size: 4536 pages
% 0.15/10.55
% 0.15/10.55 % -------------------------------------------------
% 0.15/10.55 % User time : 0.089 s
% 0.15/10.55 % System time : 0.018 s
% 0.15/10.55 % Total time : 0.107 s
% 0.15/10.55 % Maximum resident set size: 5120 pages
% 0.15/10.55 % E exiting
%------------------------------------------------------------------------------