%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV840-1 : 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 : n016.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 03:00:03 PM UTC 2026
% Result : Unsatisfiable 0.14s 10.50s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 17 ( 10 unt; 0 nHn; 13 RR)
% Number of literals : 27 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 32 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_cut_0,axiom,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cut_0) ).
cnf(cls_asm_0,axiom,
( ~ c_lessequals(X2,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_asm_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_subset__insertI_0,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q),v_G,tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_5,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[cls_cut_0]) ).
cnf(c_0_6,plain,
( ~ c_lessequals(X2,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[cls_asm_0]) ).
cnf(c_0_7,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3) ),
c_0_5 ).
cnf(c_0_8,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
cls_conjecture_0 ).
cnf(c_0_9,plain,
( ~ c_lessequals(X2,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3) ),
c_0_6 ).
cnf(c_0_10,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
cls_subset__insertI_0 ).
cnf(c_0_11,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q),v_G,tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_12,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,v_G,t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,plain,
c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(X1,X2,tc_Hoare__Mirabelle_Otriple(X3)),X2,X3),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q),v_G,tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
c_0_11 ).
cnf(c_0_15,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(X1,v_G,tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV840-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/10.38 % Computer : n016.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.39 % CPULimit : 300
% 0.10/10.39 % WCLimit : 300
% 0.10/10.39 % DateTime : Mon Sep 21 09:33:20 UTC 2026
% 0.10/10.39 % CPUTime :
% 0.10/10.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/10.43 Running first-order theorem proving
% 0.14/10.43 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
% 0.14/10.50 % Version: 3.5.1
% 0.14/10.50 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.14/10.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.50 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.14/10.50 % Starting new_bool_3 with 600s (2) cores
% 0.14/10.50 % Starting new_bool_1 with 300s (1) cores
% 0.14/10.50 % Starting sh5l with 300s (1) cores
% 0.14/10.50 % new_bool_3 with pid 2124200 completed with status 0
% 0.14/10.50 % Result found by new_bool_3
% 0.14/10.50 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.14/10.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.50 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.14/10.50 % Starting new_bool_3 with 600s (2) cores
% 0.14/10.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/10.50 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/10.50 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.14/10.50 % Scheduled 12 strats onto 2 cores with 600 seconds (600 total)
% 0.14/10.50 % Starting SubtermCWHack with 55s (1) cores
% 0.14/10.50 % Starting new_bool_3 with 61s (1) cores
% 0.14/10.50 % new_bool_3 with pid 2124205 completed with status 0
% 0.14/10.50 % Result found by new_bool_3
% 0.14/10.50 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.14/10.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.50 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.14/10.50 % Starting new_bool_3 with 600s (2) cores
% 0.14/10.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/10.50 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/10.50 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.14/10.50 % Scheduled 12 strats onto 2 cores with 600 seconds (600 total)
% 0.14/10.50 % Starting SubtermCWHack with 55s (1) cores
% 0.14/10.50 % Starting new_bool_3 with 61s (1) cores
% 0.14/10.50 % Preprocessing time : 0.005 s
% 0.14/10.50 % Presaturation interreduction done
% 0.14/10.50
% 0.14/10.50 % Proof found!
% 0.14/10.50 % SZS status Unsatisfiable
% 0.14/10.50 % SZS output start CNFRefutation
% See solution above
% 0.14/10.50 % Parsed axioms : 469
% 0.14/10.50 % Removed by relevancy pruning/SinE : 207
% 0.14/10.50 % Initial clauses : 262
% 0.14/10.50 % Removed in clause preprocessing : 0
% 0.14/10.50 % Initial clauses in saturation : 262
% 0.14/10.50 % Processed clauses : 388
% 0.14/10.50 % ...of these trivial : 8
% 0.14/10.50 % ...subsumed : 61
% 0.14/10.50 % ...remaining for further processing : 319
% 0.14/10.50 % Other redundant clauses eliminated : 1
% 0.14/10.50 % Clauses deleted for lack of memory : 0
% 0.14/10.50 % Backward-subsumed : 1
% 0.14/10.50 % Backward-rewritten : 5
% 0.14/10.50 % Generated clauses : 124
% 0.14/10.50 % ...of the previous two non-redundant : 43
% 0.14/10.50 % ...aggressively subsumed : 0
% 0.14/10.50 % Contextual simplify-reflections : 0
% 0.14/10.50 % Paramodulations : 107
% 0.14/10.50 % Factorizations : 0
% 0.14/10.50 % NegExts : 0
% 0.14/10.50 % Equation resolutions : 17
% 0.14/10.50 % Disequality decompositions : 0
% 0.14/10.50 % Total rewrite steps : 64
% 0.14/10.50 % ...of those cached : 24
% 0.14/10.50 % Propositional unsat checks : 0
% 0.14/10.50 % Propositional check models : 0
% 0.14/10.50 % Propositional check unsatisfiable : 0
% 0.14/10.50 % Propositional clauses : 0
% 0.14/10.50 % Propositional clauses after purity: 0
% 0.14/10.50 % Propositional unsat core size : 0
% 0.14/10.50 % Propositional preprocessing time : 0.000
% 0.14/10.50 % Propositional encoding time : 0.000
% 0.14/10.50 % Propositional solver time : 0.000
% 0.14/10.50 % Success case prop preproc time : 0.000
% 0.14/10.50 % Success case prop encoding time : 0.000
% 0.14/10.50 % Success case prop solver time : 0.000
% 0.14/10.50 % Current number of processed clauses : 117
% 0.14/10.50 % Positive orientable unit clauses : 29
% 0.14/10.50 % Positive unorientable unit clauses: 0
% 0.14/10.50 % Negative unit clauses : 27
% 0.14/10.50 % Non-unit-clauses : 61
% 0.14/10.50 % Current number of unprocessed clauses: 112
% 0.14/10.50 % ...number of literals in the above : 238
% 0.14/10.50 % Current number of archived formulas : 0
% 0.14/10.50 % Current number of archived clauses : 202
% 0.14/10.50 % Clause-clause subsumption calls (NU) : 5850
% 0.14/10.50 % Rec. Clause-clause subsumption calls : 5577
% 0.14/10.50 % Non-unit clause-clause subsumptions : 26
% 0.14/10.50 % Unit Clause-clause subsumption calls : 455
% 0.14/10.50 % Rewrite failures with RHS unbound : 0
% 0.14/10.50 % BW rewrite match attempts : 36
% 0.14/10.50 % BW rewrite match successes : 23
% 0.14/10.50 % Condensation attempts : 0
% 0.14/10.50 % Condensation successes : 0
% 0.14/10.50 % Termbank termtop insertions : 13072
% 0.14/10.50 % Search garbage collected termcells : 1458
% 0.14/10.50
% 0.14/10.50 % -------------------------------------------------
% 0.14/10.50 % User time : 0.032 s
% 0.14/10.50 % System time : 0.004 s
% 0.14/10.50 % Total time : 0.036 s
% 0.14/10.50 % Maximum resident set size: 4216 pages
% 0.14/10.50
% 0.14/10.50 % -------------------------------------------------
% 0.14/10.50 % User time : 0.071 s
% 0.14/10.50 % System time : 0.012 s
% 0.14/10.50 % Total time : 0.083 s
% 0.14/10.50 % Maximum resident set size: 4864 pages
% 0.14/10.50 % E exiting
%------------------------------------------------------------------------------