%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP040^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 : Wed Sep 30 08:05:20 AM UTC 2026
% Result : ContradictoryAxioms 0.21s 0.35s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 50 ( 6 ~; 2 |; 0 &; 41 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 ^; 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
denota231621370t_unit: $tType ).
thf(decl_sort2,type,
oDE_a_c: $tType ).
thf(decl_sort3,type,
set_c: $tType ).
thf(decl_sort4,type,
c: $tType ).
thf(decl_25,type,
denota540094197_a_b_c: denota231621370t_unit > oDE_a_c > set_c ).
thf(decl_126,type,
static_FVO_a_c: oDE_a_c > set_c ).
thf(decl_154,type,
member_c: c > set_c > $o ).
thf(decl_155,type,
i: denota231621370t_unit ).
thf(decl_157,type,
oDEa: oDE_a_c ).
thf(decl_164,type,
i2: c ).
thf(conj_2,hypothesis,
~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ),
file('/export/starexec/sandbox2/tmp/tmp.ce7ieSOr3S/E---3.1_3119479.p',conj_2) ).
thf(fact_0_ode__to__fvo,axiom,
! [X1: c,X2: denota231621370t_unit,X3: oDE_a_c] :
( ( member_c @ X1 @ ( denota540094197_a_b_c @ X2 @ X3 ) )
=> ( member_c @ X1 @ ( static_FVO_a_c @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ce7ieSOr3S/E---3.1_3119479.p',fact_0_ode__to__fvo) ).
thf(conj_1,hypothesis,
member_c @ i2 @ ( denota540094197_a_b_c @ i @ oDEa ),
file('/export/starexec/sandbox2/tmp/tmp.ce7ieSOr3S/E---3.1_3119479.p',conj_1) ).
thf(c_0_3,hypothesis,
~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ),
inference(fof_simplification,[status(thm)],[conj_2]) ).
thf(c_0_4,plain,
! [X1049: c,X1050: denota231621370t_unit,X1051: oDE_a_c] :
( ~ ( member_c @ X1049 @ ( denota540094197_a_b_c @ X1050 @ X1051 ) )
| ( member_c @ X1049 @ ( static_FVO_a_c @ X1051 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0_ode__to__fvo])])]) ).
thf(c_0_5,hypothesis,
~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
thf(c_0_6,plain,
! [X1: c,X2: denota231621370t_unit,X3: oDE_a_c] :
( ( member_c @ X1 @ ( static_FVO_a_c @ X3 ) )
| ~ ( member_c @ X1 @ ( denota540094197_a_b_c @ X2 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,hypothesis,
member_c @ i2 @ ( denota540094197_a_b_c @ i @ oDEa ),
inference(split_conjunct,[status(thm)],[conj_1]) ).
thf(c_0_8,hypothesis,
~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP040^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n014.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 19:40:14 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.21/0.29 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.ce7ieSOr3S/E---3.1_3119479.p
% 0.21/0.35 % Version: 3.5.1-ho
% 0.21/0.35 % Preprocessing class: HSLMSMSMSSLNHSA.
% 0.21/0.35 % Scheduled 7 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.35 % Starting new_bool_8 with 600s (2) cores
% 0.21/0.35 % Starting new_ho_3 with 300s (1) cores
% 0.21/0.35 % Starting additional_ho_3 with 300s (1) cores
% 0.21/0.35 % Starting full_lambda_10 with 300s (1) cores
% 0.21/0.35 % Starting ehoh_best with 300s (1) cores
% 0.21/0.35 % Starting sh2lt with 300s (1) cores
% 0.21/0.35 % Starting full_lambda_4 with 300s (1) cores
% 0.21/0.35 % full_lambda_4 with pid 3119498 completed with status 0
% 0.21/0.35 % Result found by full_lambda_4
% 0.21/0.35 % Preprocessing class: HSLMSMSMSSLNHSA.
% 0.21/0.35 % Scheduled 7 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.35 % Starting new_bool_8 with 600s (2) cores
% 0.21/0.35 % Starting new_ho_3 with 300s (1) cores
% 0.21/0.35 % Starting additional_ho_3 with 300s (1) cores
% 0.21/0.35 % Starting full_lambda_10 with 300s (1) cores
% 0.21/0.35 % Starting ehoh_best with 300s (1) cores
% 0.21/0.35 % Starting sh2lt with 300s (1) cores
% 0.21/0.35 % Starting full_lambda_4 with 300s (1) cores
% 0.21/0.35 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,1.5,,2,20000,1.0))
% 0.21/0.35 % SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0)
% 0.21/0.35 % Search class: HGUSM-FFMM31-DHSFFSBN
% 0.21/0.35 % partial match(3): HGHSM-FSLM31-DHSFFSBN
% 0.21/0.35 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.35 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.35 % SubtermCWHack with pid 3119501 completed with status 0
% 0.21/0.35 % Result found by SubtermCWHack
% 0.21/0.35 % Preprocessing class: HSLMSMSMSSLNHSA.
% 0.21/0.35 % Scheduled 7 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.35 % Starting new_bool_8 with 600s (2) cores
% 0.21/0.35 % Starting new_ho_3 with 300s (1) cores
% 0.21/0.35 % Starting additional_ho_3 with 300s (1) cores
% 0.21/0.35 % Starting full_lambda_10 with 300s (1) cores
% 0.21/0.35 % Starting ehoh_best with 300s (1) cores
% 0.21/0.35 % Starting sh2lt with 300s (1) cores
% 0.21/0.35 % Starting full_lambda_4 with 300s (1) cores
% 0.21/0.35 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,1.5,,2,20000,1.0))
% 0.21/0.35 % SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0)
% 0.21/0.35 % Search class: HGUSM-FFMM31-DHSFFSBN
% 0.21/0.35 % partial match(3): HGHSM-FSLM31-DHSFFSBN
% 0.21/0.35 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.35 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.35 % Preprocessing time : 0.004 s
% 0.21/0.35
% 0.21/0.35 % Proof found!
% 0.21/0.35 % SZS status ContradictoryAxioms
% 0.21/0.35 % SZS output start CNFRefutation
% See solution above
% 0.21/0.35 % Parsed axioms : 547
% 0.21/0.35 % Removed by relevancy pruning/SinE : 479
% 0.21/0.35 % Initial clauses : 115
% 0.21/0.35 % Removed in clause preprocessing : 19
% 0.21/0.35 % Initial clauses in saturation : 96
% 0.21/0.35 % Processed clauses : 46
% 0.21/0.35 % ...of these trivial : 5
% 0.21/0.35 % ...subsumed : 7
% 0.21/0.35 % ...remaining for further processing : 34
% 0.21/0.35 % Other redundant clauses eliminated : 4
% 0.21/0.35 % Clauses deleted for lack of memory : 0
% 0.21/0.35 % Backward-subsumed : 0
% 0.21/0.35 % Backward-rewritten : 4
% 0.21/0.35 % Generated clauses : 27
% 0.21/0.35 % ...of the previous two non-redundant : 18
% 0.21/0.35 % ...aggressively subsumed : 0
% 0.21/0.35 % Contextual simplify-reflections : 0
% 0.21/0.35 % Paramodulations : 21
% 0.21/0.35 % Factorizations : 0
% 0.21/0.35 % NegExts : 0
% 0.21/0.35 % Equation resolutions : 6
% 0.21/0.35 % Disequality decompositions : 0
% 0.21/0.35 % Total rewrite steps : 18
% 0.21/0.35 % ...of those cached : 8
% 0.21/0.35 % Propositional unsat checks : 0
% 0.21/0.35 % Propositional check models : 0
% 0.21/0.35 % Propositional check unsatisfiable : 0
% 0.21/0.35 % Propositional clauses : 0
% 0.21/0.35 % Propositional clauses after purity: 0
% 0.21/0.35 % Propositional unsat core size : 0
% 0.21/0.35 % Propositional preprocessing time : 0.000
% 0.21/0.35 % Propositional encoding time : 0.000
% 0.21/0.35 % Propositional solver time : 0.000
% 0.21/0.35 % Success case prop preproc time : 0.000
% 0.21/0.35 % Success case prop encoding time : 0.000
% 0.21/0.35 % Success case prop solver time : 0.000
% 0.21/0.35 % Current number of processed clauses : 30
% 0.21/0.35 % Positive orientable unit clauses : 19
% 0.21/0.35 % Positive unorientable unit clauses: 2
% 0.21/0.35 % Negative unit clauses : 3
% 0.21/0.35 % Non-unit-clauses : 6
% 0.21/0.35 % Current number of unprocessed clauses: 66
% 0.21/0.35 % ...number of literals in the above : 147
% 0.21/0.35 % Current number of archived formulas : 0
% 0.21/0.35 % Current number of archived clauses : 4
% 0.21/0.35 % Clause-clause subsumption calls (NU) : 4
% 0.21/0.35 % Rec. Clause-clause subsumption calls : 3
% 0.21/0.35 % Non-unit clause-clause subsumptions : 0
% 0.21/0.35 % Unit Clause-clause subsumption calls : 2
% 0.21/0.35 % Rewrite failures with RHS unbound : 16
% 0.21/0.35 % BW rewrite match attempts : 6
% 0.21/0.35 % BW rewrite match successes : 6
% 0.21/0.35 % Condensation attempts : 0
% 0.21/0.35 % Condensation successes : 0
% 0.21/0.35 % Termbank termtop insertions : 17236
% 0.21/0.35 % Search garbage collected termcells : 5200
% 0.21/0.35
% 0.21/0.35 % -------------------------------------------------
% 0.21/0.35 % User time : 0.010 s
% 0.21/0.35 % System time : 0.010 s
% 0.21/0.35 % Total time : 0.020 s
% 0.21/0.35 % Maximum resident set size: 5316 pages
% 0.21/0.35
% 0.21/0.35 % -------------------------------------------------
% 0.21/0.35 % User time : 0.026 s
% 0.21/0.35 % System time : 0.020 s
% 0.21/0.35 % Total time : 0.047 s
% 0.21/0.35 % Maximum resident set size: 6144 pages
% 0.21/0.35 % E exiting
%------------------------------------------------------------------------------