%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW313+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 : n017.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 03:10:17 PM UTC 2026
% Result : Theorem 0.75s 6.24s
% Output : CNFRefutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 7 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_2,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
fof(fact_asm,axiom,
! [X4,X5,X6] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool)),X5),X4))
=> c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_asm) ).
fof(fact_cut,axiom,
! [X4,X5,X8,X6] :
( c_Hoare__Mirabelle_Ohoare__derivs(X6,X8,X5)
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X8)
=> c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cut) ).
fof(conj_1,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(conj_0,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(c_0_5,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(assume_negation,[status(cth)],[conj_2]) ).
fof(c_0_6,plain,
! [X399,X400,X401] :
( c_Hoare__Mirabelle_Ohoare__derivs(X401,X399,X400)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X401),tc_HOL_Obool)),X400),X399)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_asm])])]) ).
fof(c_0_7,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X415,X416,X417,X418] :
( c_Hoare__Mirabelle_Ohoare__derivs(X418,X415,X416)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X418,X415,X417)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X418,X417,X416) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cut])])]) ).
cnf(c_0_9,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_6]) ).
cnf(c_0_10,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga)),
inference(split_conjunct,[status(thm)],[conj_1]) ).
fof(c_0_11,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_15,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,hypothesis,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,X1)
| c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts),
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW313+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.43 % Computer : n017.cluster.edu
% 0.15/5.43 % Model : x86_64 x86_64
% 0.15/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.43 % Memory : 8046.5625MB
% 0.15/5.43 % OS : Linux 6.8.0-71-generic
% 0.15/5.43 % CPULimit : 300
% 0.15/5.43 % WCLimit : 300
% 0.15/5.43 % DateTime : Mon Sep 21 09:42:02 UTC 2026
% 0.15/5.44 % CPUTime :
% 0.15/5.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/5.51 Running first-order theorem proving
% 0.21/5.51 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
% 0.75/6.23 % Version: 3.5.1
% 0.75/6.23 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.75/6.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.75/6.23 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.75/6.23 % Starting new_bool_3 with 300s (1) cores
% 0.75/6.23 % Starting new_bool_1 with 300s (1) cores
% 0.75/6.23 % Starting sh5l with 300s (1) cores
% 0.75/6.23 % new_bool_3 with pid 2019365 completed with status 0
% 0.75/6.23 % Result found by new_bool_3
% 0.75/6.23 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.75/6.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.75/6.23 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.75/6.23 % Starting new_bool_3 with 300s (1) cores
% 0.75/6.23 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.75/6.23 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.75/6.23 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.75/6.23 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.75/6.23 % Starting SubtermCWHack with 28s (1) cores
% 0.75/6.23 % SubtermCWHack with pid 2019369 completed with status 0
% 0.75/6.23 % Result found by SubtermCWHack
% 0.75/6.24 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.75/6.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.75/6.24 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.75/6.24 % Starting new_bool_3 with 300s (1) cores
% 0.75/6.24 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.75/6.24 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.75/6.24 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.75/6.24 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.75/6.24 % Starting SubtermCWHack with 28s (1) cores
% 0.75/6.24 % Preprocessing time : 0.026 s
% 0.75/6.24
% 0.75/6.24 % Proof found!
% 0.75/6.24 % SZS status Theorem
% 0.75/6.24 % SZS output start CNFRefutation
% See solution above
% 0.75/6.24 % Parsed axioms : 5228
% 0.75/6.24 % Removed by relevancy pruning/SinE : 4781
% 0.75/6.24 % Initial clauses : 663
% 0.75/6.24 % Removed in clause preprocessing : 31
% 0.75/6.24 % Initial clauses in saturation : 632
% 0.75/6.24 % Processed clauses : 246
% 0.75/6.24 % ...of these trivial : 11
% 0.75/6.24 % ...subsumed : 86
% 0.75/6.24 % ...remaining for further processing : 149
% 0.75/6.24 % Other redundant clauses eliminated : 36
% 0.75/6.24 % Clauses deleted for lack of memory : 0
% 0.75/6.24 % Backward-subsumed : 0
% 0.75/6.24 % Backward-rewritten : 0
% 0.75/6.24 % Generated clauses : 326
% 0.75/6.24 % ...of the previous two non-redundant : 186
% 0.75/6.24 % ...aggressively subsumed : 0
% 0.75/6.24 % Contextual simplify-reflections : 0
% 0.75/6.24 % Paramodulations : 282
% 0.75/6.24 % Factorizations : 4
% 0.75/6.24 % NegExts : 0
% 0.75/6.24 % Equation resolutions : 41
% 0.75/6.24 % Disequality decompositions : 0
% 0.75/6.24 % Total rewrite steps : 137
% 0.75/6.24 % ...of those cached : 85
% 0.75/6.24 % Propositional unsat checks : 0
% 0.75/6.24 % Propositional check models : 0
% 0.75/6.24 % Propositional check unsatisfiable : 0
% 0.75/6.24 % Propositional clauses : 0
% 0.75/6.24 % Propositional clauses after purity: 0
% 0.75/6.24 % Propositional unsat core size : 0
% 0.75/6.24 % Propositional preprocessing time : 0.000
% 0.75/6.24 % Propositional encoding time : 0.000
% 0.75/6.24 % Propositional solver time : 0.000
% 0.75/6.24 % Success case prop preproc time : 0.000
% 0.75/6.24 % Success case prop encoding time : 0.000
% 0.75/6.24 % Success case prop solver time : 0.000
% 0.75/6.24 % Current number of processed clauses : 118
% 0.75/6.24 % Positive orientable unit clauses : 62
% 0.75/6.24 % Positive unorientable unit clauses: 7
% 0.75/6.24 % Negative unit clauses : 14
% 0.75/6.24 % Non-unit-clauses : 35
% 0.75/6.24 % Current number of unprocessed clauses: 571
% 0.75/6.24 % ...number of literals in the above : 1322
% 0.75/6.24 % Current number of archived formulas : 0
% 0.75/6.24 % Current number of archived clauses : 0
% 0.75/6.24 % Clause-clause subsumption calls (NU) : 145
% 0.75/6.24 % Rec. Clause-clause subsumption calls : 130
% 0.75/6.24 % Non-unit clause-clause subsumptions : 19
% 0.75/6.24 % Unit Clause-clause subsumption calls : 44
% 0.75/6.24 % Rewrite failures with RHS unbound : 23
% 0.75/6.24 % BW rewrite match attempts : 190
% 0.75/6.24 % BW rewrite match successes : 23
% 0.75/6.24 % Condensation attempts : 0
% 0.75/6.24 % Condensation successes : 0
% 0.75/6.24 % Termbank termtop insertions : 202555
% 0.75/6.24 % Search garbage collected termcells : 54278
% 0.75/6.24
% 0.75/6.24 % -------------------------------------------------
% 0.75/6.24 % User time : 0.115 s
% 0.75/6.24 % System time : 0.044 s
% 0.75/6.24 % Total time : 0.159 s
% 0.75/6.24 % Maximum resident set size: 12868 pages
% 0.75/6.24
% 0.75/6.24 % -------------------------------------------------
% 0.75/6.24 % User time : 0.583 s
% 0.75/6.24 % System time : 0.067 s
% 0.75/6.24 % Total time : 0.650 s
% 0.75/6.24 % Maximum resident set size: 12544 pages
% 0.75/6.24 % E exiting
%------------------------------------------------------------------------------