%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV842-1 : 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 : n019.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 5.68s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 4 RR)
% Number of literals : 8 ( 2 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-5 aty)
% Number of variables : 10 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(hAPP(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_P),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_empty__is__image_1,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__is__image_1) ).
cnf(cls_empty_0,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty_0) ).
cnf(c_0_3,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(hAPP(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_P),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_4,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(hAPP(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_P),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
c_0_3 ).
cnf(c_0_5,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1),
cls_empty__is__image_1 ).
cnf(c_0_6,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2),
cls_empty_0 ).
cnf(c_0_7,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5]),c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV842-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.59 % Computer : n019.cluster.edu
% 0.10/5.59 % Model : x86_64 x86_64
% 0.10/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.59 % Memory : 8046.5625MB
% 0.10/5.59 % OS : Linux 6.8.0-71-generic
% 0.10/5.59 % CPULimit : 300
% 0.10/5.59 % WCLimit : 300
% 0.10/5.59 % DateTime : Mon Sep 21 09:28:41 UTC 2026
% 0.10/5.59 % CPUTime :
% 0.10/5.59 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/5.63 Running first-order theorem proving
% 0.14/5.63 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
% 0.14/5.68 % Version: 3.5.1
% 0.14/5.68 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.14/5.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.68 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.14/5.68 % Starting new_bool_3 with 600s (2) cores
% 0.14/5.68 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.68 % Starting sh5l with 300s (1) cores
% 0.14/5.68 % new_bool_3 with pid 2241644 completed with status 0
% 0.14/5.68 % Result found by new_bool_3
% 0.14/5.68 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.14/5.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.68 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.14/5.68 % Starting new_bool_3 with 600s (2) cores
% 0.14/5.68 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/5.68 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/5.68 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.14/5.68 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.14/5.68 % Starting SubtermCWHack with 55s (1) cores
% 0.14/5.68 % Starting new_bool_3 with 61s (1) cores
% 0.14/5.68 % new_bool_3 with pid 2241649 completed with status 0
% 0.14/5.68 % Result found by new_bool_3
% 0.14/5.68 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.14/5.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.68 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.14/5.68 % Starting new_bool_3 with 600s (2) cores
% 0.14/5.68 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/5.68 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/5.68 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.14/5.68 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.14/5.68 % Starting SubtermCWHack with 55s (1) cores
% 0.14/5.68 % Starting new_bool_3 with 61s (1) cores
% 0.14/5.68 % Preprocessing time : 0.006 s
% 0.14/5.68 % Presaturation interreduction done
% 0.14/5.68
% 0.14/5.68 % Proof found!
% 0.14/5.68 % SZS status Unsatisfiable
% 0.14/5.68 % SZS output start CNFRefutation
% See solution above
% 0.14/5.68 % Parsed axioms : 619
% 0.14/5.68 % Removed by relevancy pruning/SinE : 361
% 0.14/5.68 % Initial clauses : 258
% 0.14/5.68 % Removed in clause preprocessing : 0
% 0.14/5.68 % Initial clauses in saturation : 258
% 0.14/5.68 % Processed clauses : 38
% 0.14/5.68 % ...of these trivial : 0
% 0.14/5.68 % ...subsumed : 5
% 0.14/5.68 % ...remaining for further processing : 33
% 0.14/5.68 % Other redundant clauses eliminated : 0
% 0.14/5.68 % Clauses deleted for lack of memory : 0
% 0.14/5.68 % Backward-subsumed : 0
% 0.14/5.68 % Backward-rewritten : 2
% 0.14/5.68 % Generated clauses : 0
% 0.14/5.68 % ...of the previous two non-redundant : 0
% 0.14/5.68 % ...aggressively subsumed : 0
% 0.14/5.68 % Contextual simplify-reflections : 0
% 0.14/5.68 % Paramodulations : 0
% 0.14/5.68 % Factorizations : 0
% 0.14/5.68 % NegExts : 0
% 0.14/5.68 % Equation resolutions : 0
% 0.14/5.68 % Disequality decompositions : 0
% 0.14/5.68 % Total rewrite steps : 3
% 0.14/5.68 % ...of those cached : 0
% 0.14/5.68 % Propositional unsat checks : 0
% 0.14/5.68 % Propositional check models : 0
% 0.14/5.68 % Propositional check unsatisfiable : 0
% 0.14/5.68 % Propositional clauses : 0
% 0.14/5.68 % Propositional clauses after purity: 0
% 0.14/5.68 % Propositional unsat core size : 0
% 0.14/5.68 % Propositional preprocessing time : 0.000
% 0.14/5.68 % Propositional encoding time : 0.000
% 0.14/5.68 % Propositional solver time : 0.000
% 0.14/5.68 % Success case prop preproc time : 0.000
% 0.14/5.68 % Success case prop encoding time : 0.000
% 0.14/5.68 % Success case prop solver time : 0.000
% 0.14/5.68 % Current number of processed clauses : 31
% 0.14/5.68 % Positive orientable unit clauses : 15
% 0.14/5.68 % Positive unorientable unit clauses: 0
% 0.14/5.68 % Negative unit clauses : 6
% 0.14/5.68 % Non-unit-clauses : 10
% 0.14/5.68 % Current number of unprocessed clauses: 220
% 0.14/5.68 % ...number of literals in the above : 497
% 0.14/5.68 % Current number of archived formulas : 0
% 0.14/5.68 % Current number of archived clauses : 2
% 0.14/5.68 % Clause-clause subsumption calls (NU) : 14
% 0.14/5.68 % Rec. Clause-clause subsumption calls : 14
% 0.14/5.68 % Non-unit clause-clause subsumptions : 1
% 0.14/5.68 % Unit Clause-clause subsumption calls : 5
% 0.14/5.68 % Rewrite failures with RHS unbound : 0
% 0.14/5.68 % BW rewrite match attempts : 2
% 0.14/5.68 % BW rewrite match successes : 2
% 0.14/5.68 % Condensation attempts : 0
% 0.14/5.68 % Condensation successes : 0
% 0.14/5.68 % Termbank termtop insertions : 14503
% 0.14/5.68 % Search garbage collected termcells : 2080
% 0.14/5.68
% 0.14/5.68 % -------------------------------------------------
% 0.14/5.68 % User time : 0.010 s
% 0.14/5.68 % System time : 0.008 s
% 0.14/5.68 % Total time : 0.019 s
% 0.14/5.68 % Maximum resident set size: 4400 pages
% 0.14/5.68
% 0.14/5.68 % -------------------------------------------------
% 0.14/5.68 % User time : 0.027 s
% 0.14/5.68 % System time : 0.014 s
% 0.14/5.68 % Total time : 0.041 s
% 0.14/5.68 % Maximum resident set size: 5120 pages
% 0.14/5.68 % E exiting
%------------------------------------------------------------------------------