%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW298+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 : n026.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 03:10:15 PM UTC 2026
% Result : Theorem 0.53s 0.89s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 7 ~; 4 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(conj_0,hypothesis,
! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(fact_triple__valid__Suc,axiom,
! [X4,X5,X6] :
( c_Hoare__Mirabelle_Otriple__valid(X6,hAPP(c_Nat_OSuc,X5),X4)
=> c_Hoare__Mirabelle_Otriple__valid(X6,X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_triple__valid__Suc) ).
fof(c_0_3,negated_conjecture,
~ ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X3) ),
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_4,hypothesis,
! [X268] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),X268)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X268),v_ts)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])]) ).
fof(c_0_5,negated_conjecture,
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk1_0)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_0),v_ts)) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_6,plain,
! [X270,X271,X272] :
( c_Hoare__Mirabelle_Otriple__valid(X272,X271,X270)
| ~ c_Hoare__Mirabelle_Otriple__valid(X272,hAPP(c_Nat_OSuc,X271),X270) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_triple__valid__Suc])])]) ).
cnf(c_0_7,hypothesis,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts))
| c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_0),v_ts)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(c_Nat_OSuc,X2),X3)
| c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),esk1_0),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW298+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n026.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 09:49:06 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 0.53/0.89 % Version: 3.5.1
% 0.53/0.89 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.53/0.89 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.53/0.89 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.53/0.89 % Starting new_bool_3 with 300s (1) cores
% 0.53/0.89 % Starting new_bool_1 with 300s (1) cores
% 0.53/0.89 % Starting sh5l with 300s (1) cores
% 0.53/0.89 % new_bool_3 with pid 1967205 completed with status 0
% 0.53/0.89 % Result found by new_bool_3
% 0.53/0.89 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.53/0.89 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.53/0.89 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.53/0.89 % Starting new_bool_3 with 300s (1) cores
% 0.53/0.89 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.53/0.89 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.53/0.89 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.53/0.89 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.53/0.89 % Starting SubtermCWHack with 28s (1) cores
% 0.53/0.89 % SubtermCWHack with pid 1967217 completed with status 0
% 0.53/0.89 % Result found by SubtermCWHack
% 0.53/0.89 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.53/0.89 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.53/0.89 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.53/0.89 % Starting new_bool_3 with 300s (1) cores
% 0.53/0.89 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.53/0.89 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.53/0.89 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.53/0.89 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.53/0.89 % Starting SubtermCWHack with 28s (1) cores
% 0.53/0.89 % Preprocessing time : 0.012 s
% 0.53/0.89
% 0.53/0.89 % Proof found!
% 0.53/0.89 % SZS status Theorem
% 0.53/0.89 % SZS output start CNFRefutation
% See solution above
% 0.53/0.89 % Parsed axioms : 5225
% 0.53/0.89 % Removed by relevancy pruning/SinE : 4641
% 0.53/0.89 % Initial clauses : 859
% 0.53/0.89 % Removed in clause preprocessing : 36
% 0.53/0.89 % Initial clauses in saturation : 823
% 0.53/0.89 % Processed clauses : 289
% 0.53/0.89 % ...of these trivial : 11
% 0.53/0.89 % ...subsumed : 72
% 0.53/0.89 % ...remaining for further processing : 206
% 0.53/0.89 % Other redundant clauses eliminated : 61
% 0.53/0.89 % Clauses deleted for lack of memory : 0
% 0.53/0.89 % Backward-subsumed : 0
% 0.53/0.89 % Backward-rewritten : 1
% 0.53/0.89 % Generated clauses : 341
% 0.53/0.89 % ...of the previous two non-redundant : 184
% 0.53/0.89 % ...aggressively subsumed : 0
% 0.53/0.89 % Contextual simplify-reflections : 0
% 0.53/0.89 % Paramodulations : 281
% 0.53/0.89 % Factorizations : 4
% 0.53/0.89 % NegExts : 0
% 0.53/0.89 % Equation resolutions : 63
% 0.53/0.89 % Disequality decompositions : 0
% 0.53/0.89 % Total rewrite steps : 183
% 0.53/0.89 % ...of those cached : 113
% 0.53/0.89 % Propositional unsat checks : 0
% 0.53/0.89 % Propositional check models : 0
% 0.53/0.89 % Propositional check unsatisfiable : 0
% 0.53/0.89 % Propositional clauses : 0
% 0.53/0.89 % Propositional clauses after purity: 0
% 0.53/0.89 % Propositional unsat core size : 0
% 0.53/0.89 % Propositional preprocessing time : 0.000
% 0.53/0.89 % Propositional encoding time : 0.000
% 0.53/0.89 % Propositional solver time : 0.000
% 0.53/0.89 % Success case prop preproc time : 0.000
% 0.53/0.89 % Success case prop encoding time : 0.000
% 0.53/0.89 % Success case prop solver time : 0.000
% 0.53/0.89 % Current number of processed clauses : 157
% 0.53/0.89 % Positive orientable unit clauses : 87
% 0.53/0.89 % Positive unorientable unit clauses: 5
% 0.53/0.89 % Negative unit clauses : 21
% 0.53/0.89 % Non-unit-clauses : 44
% 0.53/0.89 % Current number of unprocessed clauses: 718
% 0.53/0.89 % ...number of literals in the above : 1623
% 0.53/0.89 % Current number of archived formulas : 0
% 0.53/0.89 % Current number of archived clauses : 1
% 0.53/0.89 % Clause-clause subsumption calls (NU) : 322
% 0.53/0.89 % Rec. Clause-clause subsumption calls : 320
% 0.53/0.89 % Non-unit clause-clause subsumptions : 23
% 0.53/0.89 % Unit Clause-clause subsumption calls : 32
% 0.53/0.89 % Rewrite failures with RHS unbound : 6
% 0.53/0.89 % BW rewrite match attempts : 245
% 0.53/0.89 % BW rewrite match successes : 40
% 0.53/0.89 % Condensation attempts : 0
% 0.53/0.89 % Condensation successes : 0
% 0.53/0.89 % Termbank termtop insertions : 217635
% 0.53/0.89 % Search garbage collected termcells : 54720
% 0.53/0.89
% 0.53/0.89 % -------------------------------------------------
% 0.53/0.89 % User time : 0.088 s
% 0.53/0.89 % System time : 0.018 s
% 0.53/0.89 % Total time : 0.106 s
% 0.53/0.89 % Maximum resident set size: 13156 pages
% 0.53/0.89
% 0.53/0.89 % -------------------------------------------------
% 0.53/0.89 % User time : 0.348 s
% 0.53/0.89 % System time : 0.034 s
% 0.53/0.89 % Total time : 0.382 s
% 0.53/0.89 % Maximum resident set size: 12288 pages
% 0.53/0.89 % E exiting
%------------------------------------------------------------------------------