%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW394+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 03:10:27 PM UTC 2026
% Result : Theorem 4.23s 1.61s
% Output : CNFRefutation 4.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 10 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 2 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(fact_asm,axiom,
! [X4,X7,X5] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)),X7),X4))
=> c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_asm) ).
fof(fact_subset__refl,axiom,
! [X10,X5] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X10),X10)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_subset__refl) ).
fof(c_0_3,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_4,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_5,plain,
! [X298,X299,X300] :
( c_Hoare__Mirabelle_Ohoare__derivs(X300,X298,X299)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X300),tc_HOL_Obool)),X299),X298)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_asm])])]) ).
fof(c_0_6,plain,
! [X571,X572] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X572,tc_HOL_Obool)),X571),X571)),
inference(variable_rename,[status(thm)],[fact_subset__refl]) ).
fof(c_0_7,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X2),X3))
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X2)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X2),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW394+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n002.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 21 09:53:01 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 4.23/1.61 % Version: 3.5.1
% 4.23/1.61 % Preprocessing class: FMLMSMSMSSSNFFN.
% 4.23/1.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.23/1.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.23/1.61 % Starting new_bool_3 with 300s (1) cores
% 4.23/1.61 % Starting new_bool_1 with 300s (1) cores
% 4.23/1.61 % Starting sh5l with 300s (1) cores
% 4.23/1.61 % new_bool_1 with pid 3006989 completed with status 0
% 4.23/1.61 % Result found by new_bool_1
% 4.23/1.61 % Preprocessing class: FMLMSMSMSSSNFFN.
% 4.23/1.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.23/1.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.23/1.61 % Starting new_bool_3 with 300s (1) cores
% 4.23/1.61 % Starting new_bool_1 with 300s (1) cores
% 4.23/1.61 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 4.23/1.61 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.23/1.61 % Search class: FGHSM-FSLM32-DFFFFFNN
% 4.23/1.61 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 4.23/1.61 % Starting SubtermCWHack with 28s (1) cores
% 4.23/1.61 % SubtermCWHack with pid 3006991 completed with status 0
% 4.23/1.61 % Result found by SubtermCWHack
% 4.23/1.61 % Preprocessing class: FMLMSMSMSSSNFFN.
% 4.23/1.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.23/1.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.23/1.61 % Starting new_bool_3 with 300s (1) cores
% 4.23/1.61 % Starting new_bool_1 with 300s (1) cores
% 4.23/1.61 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 4.23/1.61 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.23/1.61 % Search class: FGHSM-FSLM32-DFFFFFNN
% 4.23/1.61 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 4.23/1.61 % Starting SubtermCWHack with 28s (1) cores
% 4.23/1.61 % Preprocessing time : 0.019 s
% 4.23/1.61
% 4.23/1.61 % Proof found!
% 4.23/1.61 % SZS status Theorem
% 4.23/1.61 % SZS output start CNFRefutation
% See solution above
% 4.23/1.61 % Parsed axioms : 5224
% 4.23/1.61 % Removed by relevancy pruning/SinE : 4699
% 4.23/1.61 % Initial clauses : 767
% 4.23/1.61 % Removed in clause preprocessing : 33
% 4.23/1.61 % Initial clauses in saturation : 734
% 4.23/1.61 % Processed clauses : 3630
% 4.23/1.61 % ...of these trivial : 167
% 4.23/1.61 % ...subsumed : 2545
% 4.23/1.61 % ...remaining for further processing : 917
% 4.23/1.61 % Other redundant clauses eliminated : 924
% 4.23/1.61 % Clauses deleted for lack of memory : 0
% 4.23/1.61 % Backward-subsumed : 26
% 4.23/1.61 % Backward-rewritten : 47
% 4.23/1.61 % Generated clauses : 63755
% 4.23/1.61 % ...of the previous two non-redundant : 55313
% 4.23/1.61 % ...aggressively subsumed : 0
% 4.23/1.61 % Contextual simplify-reflections : 4
% 4.23/1.61 % Paramodulations : 62802
% 4.23/1.61 % Factorizations : 20
% 4.23/1.61 % NegExts : 0
% 4.23/1.61 % Equation resolutions : 940
% 4.23/1.61 % Disequality decompositions : 0
% 4.23/1.61 % Total rewrite steps : 11751
% 4.23/1.61 % ...of those cached : 10092
% 4.23/1.61 % Propositional unsat checks : 0
% 4.23/1.61 % Propositional check models : 0
% 4.23/1.61 % Propositional check unsatisfiable : 0
% 4.23/1.61 % Propositional clauses : 0
% 4.23/1.61 % Propositional clauses after purity: 0
% 4.23/1.61 % Propositional unsat core size : 0
% 4.23/1.61 % Propositional preprocessing time : 0.000
% 4.23/1.61 % Propositional encoding time : 0.000
% 4.23/1.61 % Propositional solver time : 0.000
% 4.23/1.61 % Success case prop preproc time : 0.000
% 4.23/1.61 % Success case prop encoding time : 0.000
% 4.23/1.61 % Success case prop solver time : 0.000
% 4.23/1.61 % Current number of processed clauses : 786
% 4.23/1.61 % Positive orientable unit clauses : 239
% 4.23/1.61 % Positive unorientable unit clauses: 17
% 4.23/1.61 % Negative unit clauses : 48
% 4.23/1.61 % Non-unit-clauses : 482
% 4.23/1.61 % Current number of unprocessed clauses: 50114
% 4.23/1.61 % ...number of literals in the above : 160891
% 4.23/1.61 % Current number of archived formulas : 0
% 4.23/1.61 % Current number of archived clauses : 73
% 4.23/1.61 % Clause-clause subsumption calls (NU) : 53241
% 4.23/1.61 % Rec. Clause-clause subsumption calls : 25052
% 4.23/1.61 % Non-unit clause-clause subsumptions : 2137
% 4.23/1.61 % Unit Clause-clause subsumption calls : 1374
% 4.23/1.61 % Rewrite failures with RHS unbound : 181
% 4.23/1.61 % BW rewrite match attempts : 2141
% 4.23/1.61 % BW rewrite match successes : 141
% 4.23/1.61 % Condensation attempts : 0
% 4.23/1.61 % Condensation successes : 0
% 4.23/1.61 % Termbank termtop insertions : 1305836
% 4.23/1.61 % Search garbage collected termcells : 54184
% 4.23/1.61
% 4.23/1.61 % -------------------------------------------------
% 4.23/1.61 % User time : 0.958 s
% 4.23/1.61 % System time : 0.068 s
% 4.23/1.61 % Total time : 1.026 s
% 4.23/1.61 % Maximum resident set size: 12884 pages
% 4.23/1.61
% 4.23/1.61 % -------------------------------------------------
% 4.23/1.61 % User time : 1.076 s
% 4.23/1.61 % System time : 0.077 s
% 4.23/1.61 % Total time : 1.153 s
% 4.23/1.61 % Maximum resident set size: 12288 pages
% 4.23/1.61 % E exiting
%------------------------------------------------------------------------------