%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP177^1 : 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 : n016.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 08:05:45 AM UTC 2026
% Result : Theorem 0.27s 0.36s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 53 ( 6 ~; 2 |; 0 &; 44 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
b: $tType ).
thf(decl_sort2,type,
set_b: $tType ).
thf(decl_sort3,type,
labele1159362096nt_a_b: $tType ).
thf(decl_55,type,
labele1424214014nt_a_b: labele1159362096nt_a_b > set_b ).
thf(decl_166,type,
member_b: b > set_b > $o ).
thf(decl_167,type,
g: labele1159362096nt_a_b ).
thf(decl_170,type,
f: b > b ).
thf(decl_172,type,
x: b ).
thf(conj_0,conjecture,
member_b @ x @ ( labele1424214014nt_a_b @ g ),
file('/export/starexec/sandbox2/tmp/tmp.cExgmNdoNN/E---3.1_847103.p',conj_0) ).
thf(fact_0__092_060open_062_092_060And_062xa_O_A_092_060lbrakk_062f_Axa_A_092_060in_062_Avertices_AG_059_Axa_A_092_060notin_062_Avertices_AG_092_060rbrakk_062_A_092_060Longrightarrow_062_AFalse_092_060close_062,axiom,
! [X1: b] :
( ( member_b @ ( f @ X1 ) @ ( labele1424214014nt_a_b @ g ) )
=> ( member_b @ X1 @ ( labele1424214014nt_a_b @ g ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.cExgmNdoNN/E---3.1_847103.p',fact_0__092_060open_062_092_060And_062xa_O_A_092_060lbrakk_062f_Axa_A_092_060in_062_Avertices_AG_059_Axa_A_092_060notin_062_Avertices_AG_092_060rbrakk_062_A_092_060Longrightarrow_062_AFalse_092_060close_062) ).
thf(fact_2_fv_I1_J,axiom,
member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ),
file('/export/starexec/sandbox2/tmp/tmp.cExgmNdoNN/E---3.1_847103.p',fact_2_fv_I1_J) ).
thf(c_0_3,negated_conjecture,
~ ( member_b @ x @ ( labele1424214014nt_a_b @ g ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_4,negated_conjecture,
~ ( member_b @ x @ ( labele1424214014nt_a_b @ g ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
thf(c_0_5,plain,
! [X1634: b] :
( ~ ( member_b @ ( f @ X1634 ) @ ( labele1424214014nt_a_b @ g ) )
| ( member_b @ X1634 @ ( labele1424214014nt_a_b @ g ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0__092_060open_062_092_060And_062xa_O_A_092_060lbrakk_062f_Axa_A_092_060in_062_Avertices_AG_059_Axa_A_092_060notin_062_Avertices_AG_092_060rbrakk_062_A_092_060Longrightarrow_062_AFalse_092_060close_062])])]) ).
thf(c_0_6,negated_conjecture,
~ ( member_b @ x @ ( labele1424214014nt_a_b @ g ) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
! [X1: b] :
( ( member_b @ X1 @ ( labele1424214014nt_a_b @ g ) )
| ~ ( member_b @ ( f @ X1 ) @ ( labele1424214014nt_a_b @ g ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ),
inference(split_conjunct,[status(thm)],[fact_2_fv_I1_J]) ).
thf(c_0_9,negated_conjecture,
~ ( member_b @ x @ ( labele1424214014nt_a_b @ g ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP177^1 : 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 : n016.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
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 20:10:49 UTC 2026
% 0.08/0.17 % 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
% 0.22/0.29 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.cExgmNdoNN/E---3.1_847103.p
% 0.27/0.36 % Version: 3.5.1-ho
% 0.27/0.36 % partial match(1): HSLMSMSMSSMNSFA
% 0.27/0.36 % Preprocessing class: HSLMSMSMSSMCSFA.
% 0.27/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.36 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.27/0.36 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.27/0.36 % Starting full_lambda_6 with 300s (1) cores
% 0.27/0.36 % Starting ehoh_best_sine with 300s (1) cores
% 0.27/0.36 % ehoh_best_sine with pid 847119 completed with status 0
% 0.27/0.36 % Result found by ehoh_best_sine
% 0.27/0.36 % partial match(1): HSLMSMSMSSMNSFA
% 0.27/0.36 % Preprocessing class: HSLMSMSMSSMCSFA.
% 0.27/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.36 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.27/0.36 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.27/0.36 % Starting full_lambda_6 with 300s (1) cores
% 0.27/0.36 % Starting ehoh_best_sine with 300s (1) cores
% 0.27/0.36 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = gf500_gu_R04_F100_L20000)
% 0.27/0.36 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.27/0.36 % Search class: HGHSM-FSLM32-MSFFFFBN
% 0.27/0.36 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.36 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.36 % SubtermCWHack with pid 847120 completed with status 0
% 0.27/0.36 % Result found by SubtermCWHack
% 0.27/0.36 % partial match(1): HSLMSMSMSSMNSFA
% 0.27/0.36 % Preprocessing class: HSLMSMSMSSMCSFA.
% 0.27/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.36 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.27/0.36 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.27/0.36 % Starting full_lambda_6 with 300s (1) cores
% 0.27/0.36 % Starting ehoh_best_sine with 300s (1) cores
% 0.27/0.36 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = gf500_gu_R04_F100_L20000)
% 0.27/0.36 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.27/0.36 % Search class: HGHSM-FSLM32-MSFFFFBN
% 0.27/0.36 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.36 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.36 % Preprocessing time : 0.007 s
% 0.27/0.36
% 0.27/0.36 % Proof found!
% 0.27/0.36 % SZS status Theorem
% 0.27/0.36 % SZS output start CNFRefutation
% See solution above
% 0.27/0.36 % Parsed axioms : 563
% 0.27/0.36 % Removed by relevancy pruning/SinE : 313
% 0.27/0.36 % Initial clauses : 415
% 0.27/0.36 % Removed in clause preprocessing : 19
% 0.27/0.36 % Initial clauses in saturation : 396
% 0.27/0.36 % Processed clauses : 214
% 0.27/0.36 % ...of these trivial : 6
% 0.27/0.36 % ...subsumed : 42
% 0.27/0.36 % ...remaining for further processing : 166
% 0.27/0.36 % Other redundant clauses eliminated : 37
% 0.27/0.36 % Clauses deleted for lack of memory : 0
% 0.27/0.36 % Backward-subsumed : 2
% 0.27/0.36 % Backward-rewritten : 8
% 0.27/0.36 % Generated clauses : 212
% 0.27/0.36 % ...of the previous two non-redundant : 106
% 0.27/0.36 % ...aggressively subsumed : 0
% 0.27/0.36 % Contextual simplify-reflections : 0
% 0.27/0.36 % Paramodulations : 168
% 0.27/0.36 % Factorizations : 0
% 0.27/0.36 % NegExts : 0
% 0.27/0.36 % Equation resolutions : 44
% 0.27/0.36 % Disequality decompositions : 0
% 0.27/0.36 % Total rewrite steps : 95
% 0.27/0.36 % ...of those cached : 47
% 0.27/0.36 % Propositional unsat checks : 0
% 0.27/0.36 % Propositional check models : 0
% 0.27/0.36 % Propositional check unsatisfiable : 0
% 0.27/0.36 % Propositional clauses : 0
% 0.27/0.36 % Propositional clauses after purity: 0
% 0.27/0.36 % Propositional unsat core size : 0
% 0.27/0.36 % Propositional preprocessing time : 0.000
% 0.27/0.36 % Propositional encoding time : 0.000
% 0.27/0.36 % Propositional solver time : 0.000
% 0.27/0.36 % Success case prop preproc time : 0.000
% 0.27/0.36 % Success case prop encoding time : 0.000
% 0.27/0.36 % Success case prop solver time : 0.000
% 0.27/0.36 % Current number of processed clauses : 135
% 0.27/0.36 % Positive orientable unit clauses : 59
% 0.27/0.36 % Positive unorientable unit clauses: 0
% 0.27/0.36 % Negative unit clauses : 7
% 0.27/0.36 % Non-unit-clauses : 69
% 0.27/0.36 % Current number of unprocessed clauses: 285
% 0.27/0.36 % ...number of literals in the above : 774
% 0.27/0.36 % Current number of archived formulas : 0
% 0.27/0.36 % Current number of archived clauses : 10
% 0.27/0.36 % Clause-clause subsumption calls (NU) : 540
% 0.27/0.36 % Rec. Clause-clause subsumption calls : 530
% 0.27/0.36 % Non-unit clause-clause subsumptions : 21
% 0.27/0.36 % Unit Clause-clause subsumption calls : 311
% 0.27/0.36 % Rewrite failures with RHS unbound : 0
% 0.27/0.36 % BW rewrite match attempts : 18
% 0.27/0.36 % BW rewrite match successes : 8
% 0.27/0.36 % Condensation attempts : 0
% 0.27/0.36 % Condensation successes : 0
% 0.27/0.36 % Termbank termtop insertions : 36463
% 0.27/0.36 % Search garbage collected termcells : 10735
% 0.27/0.36
% 0.27/0.36 % -------------------------------------------------
% 0.27/0.36 % User time : 0.030 s
% 0.27/0.36 % System time : 0.010 s
% 0.27/0.36 % Total time : 0.040 s
% 0.27/0.36 % Maximum resident set size: 6616 pages
% 0.27/0.36
% 0.27/0.36 % -------------------------------------------------
% 0.27/0.36 % User time : 0.045 s
% 0.27/0.36 % System time : 0.019 s
% 0.27/0.36 % Total time : 0.064 s
% 0.27/0.36 % Maximum resident set size: 6144 pages
% 0.27/0.36 % E exiting
%------------------------------------------------------------------------------