%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP074^1 : 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 : n007.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 08:04:17 AM UTC 2026
% Result : Theorem 0.51s 0.38s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 13 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 72 ( 8 ~; 0 |; 0 &; 64 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 2 ^; 16 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
hF_Mirabelle_hf: $tType ).
thf(decl_25,type,
zero_z189798548lle_hf: hF_Mirabelle_hf ).
thf(decl_37,type,
hF_Mirabelle_hinsert: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(decl_39,type,
hF_Mirabelle_hpair: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(decl_50,type,
x: hF_Mirabelle_hf ).
thf(decl_51,type,
y: hF_Mirabelle_hf ).
thf(fact_18_hinsert__nonempty,axiom,
! [X1: hF_Mirabelle_hf,X14: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hinsert @ X1 @ X14 )
!= zero_z189798548lle_hf ),
file('/export/starexec/sandbox2/tmp/tmp.KN8oP7ZffJ/E---3.1_3831204.p',fact_18_hinsert__nonempty) ).
thf(fact_13_hpair__def,axiom,
( hF_Mirabelle_hpair
= ( ^ [X10: hF_Mirabelle_hf,X11: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X10 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X10 @ ( hF_Mirabelle_hinsert @ X11 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KN8oP7ZffJ/E---3.1_3831204.p',fact_13_hpair__def) ).
thf(conj_0,conjecture,
( ( hF_Mirabelle_hpair @ x @ y )
!= zero_z189798548lle_hf ),
file('/export/starexec/sandbox2/tmp/tmp.KN8oP7ZffJ/E---3.1_3831204.p',conj_0) ).
thf(c_0_3,plain,
! [X1: hF_Mirabelle_hf,X14: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hinsert @ X1 @ X14 )
!= zero_z189798548lle_hf ),
inference(fof_simplification,[status(thm)],[fact_18_hinsert__nonempty]) ).
thf(c_0_4,plain,
! [X1153: hF_Mirabelle_hf,X1154: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ X1153 @ X1154 )
= ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X1153 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X1153 @ ( hF_Mirabelle_hinsert @ X1154 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_13_hpair__def])]) ).
thf(c_0_5,negated_conjecture,
~ ( ( ( hF_Mirabelle_hpair @ x @ y )
!= zero_z189798548lle_hf ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_6,plain,
! [X1258: hF_Mirabelle_hf,X1259: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hinsert @ X1258 @ X1259 )
!= zero_z189798548lle_hf ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_3])]) ).
thf(c_0_7,plain,
! [X1246: hF_Mirabelle_hf,X1247: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ X1246 @ X1247 )
= ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X1246 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X1246 @ ( hF_Mirabelle_hinsert @ X1247 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ),
inference(variable_rename,[status(thm)],[c_0_4]) ).
thf(c_0_8,negated_conjecture,
( ( hF_Mirabelle_hpair @ x @ y )
= zero_z189798548lle_hf ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
! [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hinsert @ X1 @ X2 )
!= zero_z189798548lle_hf ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
! [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ X1 @ X2 )
= ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X1 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X1 @ ( hF_Mirabelle_hinsert @ X2 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,negated_conjecture,
( ( hF_Mirabelle_hpair @ x @ y )
= zero_z189798548lle_hf ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_12,plain,
! [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ X1 @ X2 )
!= zero_z189798548lle_hf ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_13,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_11,c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP074^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n007.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 19:45:26 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.22/0.28 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.KN8oP7ZffJ/E---3.1_3831204.p
% 0.51/0.38 % Version: 3.5.1-ho
% 0.51/0.38 % Preprocessing class: HSLSSMSSSSSNSFA.
% 0.51/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.38 % Starting new_ho_11 with 1500s (5) cores
% 0.51/0.38 % Starting post_as_ho6 with 300s (1) cores
% 0.51/0.38 % Starting sh9 with 300s (1) cores
% 0.51/0.38 % Starting sh5l with 300s (1) cores
% 0.51/0.38 % new_ho_11 with pid 3831217 completed with status 0
% 0.51/0.38 % Result found by new_ho_11
% 0.51/0.38 % Preprocessing class: HSLSSMSSSSSNSFA.
% 0.51/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.38 % Starting new_ho_11 with 1500s (5) cores
% 0.51/0.38 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.51/0.38 % No SInE strategy applied
% 0.51/0.38 % Search class: HGHSM-FSLM31-MSFFFSBN
% 0.51/0.38 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.51/0.38 % Starting SubtermCWHack with 136s (1) cores
% 0.51/0.38 % Starting new_ho_11 with 151s (1) cores
% 0.51/0.38 % Starting sh2lt with 136s (1) cores
% 0.51/0.38 % Starting sh2 with 136s (1) cores
% 0.51/0.38 % Starting sh9 with 136s (1) cores
% 0.51/0.38 % sh9 with pid 3831228 completed with status 0
% 0.51/0.38 % Result found by sh9
% 0.51/0.38 % Preprocessing class: HSLSSMSSSSSNSFA.
% 0.51/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.38 % Starting new_ho_11 with 1500s (5) cores
% 0.51/0.38 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.51/0.38 % No SInE strategy applied
% 0.51/0.38 % Search class: HGHSM-FSLM31-MSFFFSBN
% 0.51/0.38 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.51/0.38 % Starting SubtermCWHack with 136s (1) cores
% 0.51/0.38 % Starting new_ho_11 with 151s (1) cores
% 0.51/0.38 % Starting sh2lt with 136s (1) cores
% 0.51/0.38 % Starting sh2 with 136s (1) cores
% 0.51/0.38 % Starting sh9 with 136s (1) cores
% 0.51/0.38 % Preprocessing time : 0.008 s
% 0.51/0.38 % Presaturation interreduction done
% 0.51/0.38
% 0.51/0.38 % Proof found!
% 0.51/0.38 % SZS status Theorem
% 0.51/0.38 % SZS output start CNFRefutation
% See solution above
% 0.51/0.39 % Parsed axioms : 376
% 0.51/0.39 % Removed by relevancy pruning/SinE : 0
% 0.51/0.39 % Initial clauses : 543
% 0.51/0.39 % Removed in clause preprocessing : 44
% 0.51/0.39 % Initial clauses in saturation : 499
% 0.51/0.39 % Processed clauses : 679
% 0.51/0.39 % ...of these trivial : 56
% 0.51/0.39 % ...subsumed : 165
% 0.51/0.39 % ...remaining for further processing : 458
% 0.51/0.39 % Other redundant clauses eliminated : 42
% 0.51/0.39 % Clauses deleted for lack of memory : 0
% 0.51/0.39 % Backward-subsumed : 2
% 0.51/0.39 % Backward-rewritten : 2
% 0.51/0.39 % Generated clauses : 633
% 0.51/0.39 % ...of the previous two non-redundant : 268
% 0.51/0.39 % ...aggressively subsumed : 0
% 0.51/0.39 % Contextual simplify-reflections : 0
% 0.51/0.39 % Paramodulations : 588
% 0.51/0.39 % Factorizations : 0
% 0.51/0.39 % NegExts : 0
% 0.51/0.39 % Equation resolutions : 46
% 0.51/0.39 % Disequality decompositions : 0
% 0.51/0.39 % Total rewrite steps : 528
% 0.51/0.39 % ...of those cached : 344
% 0.51/0.39 % Propositional unsat checks : 0
% 0.51/0.39 % Propositional check models : 0
% 0.51/0.39 % Propositional check unsatisfiable : 0
% 0.51/0.39 % Propositional clauses : 0
% 0.51/0.39 % Propositional clauses after purity: 0
% 0.51/0.39 % Propositional unsat core size : 0
% 0.51/0.39 % Propositional preprocessing time : 0.000
% 0.51/0.39 % Propositional encoding time : 0.000
% 0.51/0.39 % Propositional solver time : 0.000
% 0.51/0.39 % Success case prop preproc time : 0.000
% 0.51/0.39 % Success case prop encoding time : 0.000
% 0.51/0.39 % Success case prop solver time : 0.000
% 0.51/0.39 % Current number of processed clauses : 125
% 0.51/0.39 % Positive orientable unit clauses : 74
% 0.51/0.39 % Positive unorientable unit clauses: 4
% 0.51/0.39 % Negative unit clauses : 11
% 0.51/0.39 % Non-unit-clauses : 36
% 0.51/0.39 % Current number of unprocessed clauses: 378
% 0.51/0.39 % ...number of literals in the above : 695
% 0.51/0.39 % Current number of archived formulas : 0
% 0.51/0.39 % Current number of archived clauses : 295
% 0.51/0.39 % Clause-clause subsumption calls (NU) : 9720
% 0.51/0.39 % Rec. Clause-clause subsumption calls : 7461
% 0.51/0.39 % Non-unit clause-clause subsumptions : 129
% 0.51/0.39 % Unit Clause-clause subsumption calls : 120
% 0.51/0.39 % Rewrite failures with RHS unbound : 0
% 0.51/0.39 % BW rewrite match attempts : 148
% 0.51/0.39 % BW rewrite match successes : 107
% 0.51/0.39 % Condensation attempts : 679
% 0.51/0.39 % Condensation successes : 0
% 0.51/0.39 % Termbank termtop insertions : 41514
% 0.51/0.39 % Search garbage collected termcells : 8780
% 0.51/0.39
% 0.51/0.39 % -------------------------------------------------
% 0.51/0.39 % User time : 0.058 s
% 0.51/0.39 % System time : 0.009 s
% 0.51/0.39 % Total time : 0.067 s
% 0.51/0.39 % Maximum resident set size: 5968 pages
% 0.51/0.39
% 0.51/0.39 % -------------------------------------------------
% 0.51/0.39 % User time : 0.186 s
% 0.51/0.39 % System time : 0.045 s
% 0.51/0.39 % Total time : 0.231 s
% 0.51/0.39 % Maximum resident set size: 5376 pages
% 0.51/0.39 % E exiting
%------------------------------------------------------------------------------