%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV910-1 : 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 : n012.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 0.07s 0.43s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 4 RR)
% Number of literals : 12 ( 5 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-4 aty)
% Number of variables : 25 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_empty__def_0,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Collect(c_COMBK(c_False,tc_bool,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__def_0) ).
cnf(cls_Collect__def_0,axiom,
c_Collect(X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_falseE_0,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),X2),X3,X4,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_falseE_0) ).
cnf(c_0_4,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Collect(c_COMBK(c_False,tc_bool,X1),X1),
cls_empty__def_0 ).
cnf(c_0_5,axiom,
c_Collect(X1,X2) = X1,
cls_Collect__def_0 ).
cnf(c_0_6,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_7,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),X2),X3,X4,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))),X2),
cls_falseE_0 ).
cnf(c_0_8,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_COMBK(c_False,tc_bool,X1),
inference(rw,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_9,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
c_0_6 ).
cnf(c_0_10,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ostate,tc_bool),X2),X3,X4,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))),X2),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_9,c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV910-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 09:31:23 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.34 Running first-order theorem proving
% 0.07/0.34 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
% 0.07/0.43 % Version: 3.5.1
% 0.07/0.43 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.07/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.43 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.07/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.07/0.43 % Starting sh5l with 300s (1) cores
% 0.07/0.43 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2082404 completed with status 0
% 0.07/0.43 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.07/0.43 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.07/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.43 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.07/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.43 % No SInE strategy applied
% 0.07/0.43 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.07/0.43 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.07/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.07/0.43 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.07/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 0.07/0.43 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 0.07/0.43 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.07/0.43 % G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 2082414 completed with status 0
% 0.07/0.43 % Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 0.07/0.43 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.07/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.43 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.07/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.43 % No SInE strategy applied
% 0.07/0.43 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.07/0.43 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.07/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.07/0.43 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.07/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 0.07/0.43 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 0.07/0.43 % Preprocessing time : 0.006 s
% 0.07/0.43 % Presaturation interreduction done
% 0.07/0.43
% 0.07/0.43 % Proof found!
% 0.07/0.43 % SZS status Unsatisfiable
% 0.07/0.43 % SZS output start CNFRefutation
% See solution above
% 0.07/0.43 % Parsed axioms : 498
% 0.07/0.43 % Removed by relevancy pruning/SinE : 0
% 0.07/0.43 % Initial clauses : 498
% 0.07/0.43 % Removed in clause preprocessing : 2
% 0.07/0.43 % Initial clauses in saturation : 496
% 0.07/0.43 % Processed clauses : 1097
% 0.07/0.43 % ...of these trivial : 31
% 0.07/0.43 % ...subsumed : 274
% 0.07/0.43 % ...remaining for further processing : 792
% 0.07/0.43 % Other redundant clauses eliminated : 58
% 0.07/0.43 % Clauses deleted for lack of memory : 0
% 0.07/0.43 % Backward-subsumed : 0
% 0.07/0.43 % Backward-rewritten : 13
% 0.07/0.43 % Generated clauses : 1573
% 0.07/0.43 % ...of the previous two non-redundant : 836
% 0.07/0.43 % ...aggressively subsumed : 0
% 0.07/0.43 % Contextual simplify-reflections : 0
% 0.07/0.43 % Paramodulations : 1507
% 0.07/0.43 % Factorizations : 0
% 0.07/0.43 % NegExts : 0
% 0.07/0.43 % Equation resolutions : 66
% 0.07/0.43 % Disequality decompositions : 0
% 0.07/0.43 % Total rewrite steps : 919
% 0.07/0.43 % ...of those cached : 678
% 0.07/0.43 % Propositional unsat checks : 0
% 0.07/0.43 % Propositional check models : 0
% 0.07/0.43 % Propositional check unsatisfiable : 0
% 0.07/0.43 % Propositional clauses : 0
% 0.07/0.43 % Propositional clauses after purity: 0
% 0.07/0.43 % Propositional unsat core size : 0
% 0.07/0.43 % Propositional preprocessing time : 0.000
% 0.07/0.43 % Propositional encoding time : 0.000
% 0.07/0.43 % Propositional solver time : 0.000
% 0.07/0.43 % Success case prop preproc time : 0.000
% 0.07/0.43 % Success case prop encoding time : 0.000
% 0.07/0.43 % Success case prop solver time : 0.000
% 0.07/0.43 % Current number of processed clauses : 369
% 0.07/0.43 % Positive orientable unit clauses : 151
% 0.07/0.43 % Positive unorientable unit clauses: 5
% 0.07/0.43 % Negative unit clauses : 16
% 0.07/0.43 % Non-unit-clauses : 197
% 0.07/0.43 % Current number of unprocessed clauses: 642
% 0.07/0.43 % ...number of literals in the above : 1360
% 0.07/0.43 % Current number of archived formulas : 0
% 0.07/0.43 % Current number of archived clauses : 422
% 0.07/0.43 % Clause-clause subsumption calls (NU) : 23164
% 0.07/0.43 % Rec. Clause-clause subsumption calls : 20200
% 0.07/0.43 % Non-unit clause-clause subsumptions : 180
% 0.07/0.43 % Unit Clause-clause subsumption calls : 405
% 0.07/0.43 % Rewrite failures with RHS unbound : 0
% 0.07/0.43 % BW rewrite match attempts : 609
% 0.07/0.43 % BW rewrite match successes : 91
% 0.07/0.43 % Condensation attempts : 0
% 0.07/0.43 % Condensation successes : 0
% 0.07/0.43 % Termbank termtop insertions : 45125
% 0.07/0.43 % Search garbage collected termcells : 851
% 0.07/0.43
% 0.07/0.43 % -------------------------------------------------
% 0.07/0.43 % User time : 0.064 s
% 0.07/0.43 % System time : 0.007 s
% 0.07/0.43 % Total time : 0.071 s
% 0.07/0.43 % Maximum resident set size: 4548 pages
% 0.07/0.43
% 0.07/0.43 % -------------------------------------------------
% 0.07/0.43 % User time : 0.319 s
% 0.07/0.43 % System time : 0.025 s
% 0.07/0.43 % Total time : 0.344 s
% 0.07/0.43 % Maximum resident set size: 5120 pages
% 0.07/0.43 % E exiting
%------------------------------------------------------------------------------