%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP072^1 : 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 : n003.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 08:04:16 AM UTC 2026
% Result : Theorem 0.20s 0.32s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 47 ( 22 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 123 ( 22 ~; 14 |; 4 &; 75 @)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 0 ^; 29 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
hF_Mirabelle_hf: $tType ).
thf(decl_38,type,
zero_z189798548lle_hf: hF_Mirabelle_hf ).
thf(decl_43,type,
hF_Mirabelle_hinsert: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(decl_44,type,
hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(decl_80,type,
z: hF_Mirabelle_hf ).
thf(decl_82,type,
esk2_1: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(decl_83,type,
esk3_1: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(decl_253,type,
esk173_0: hF_Mirabelle_hf ).
thf(conj_0,conjecture,
( ( z = zero_z189798548lle_hf )
<=> ! [X5: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X5 @ z ) ),
file('/export/starexec/sandbox2/tmp/tmp.SdicyvxzQh/E---3.1_2974618.p',conj_0) ).
thf(fact_4_hmem__hinsert,axiom,
! [X6: hF_Mirabelle_hf,X10: hF_Mirabelle_hf,X11: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X6 @ ( hF_Mirabelle_hinsert @ X10 @ X11 ) )
<=> ( ( X6 = X10 )
| ( hF_Mirabelle_hmem @ X6 @ X11 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SdicyvxzQh/E---3.1_2974618.p',fact_4_hmem__hinsert) ).
thf(fact_3_hf__cases,axiom,
! [X7: hF_Mirabelle_hf] :
( ( X7 != zero_z189798548lle_hf )
=> ~ ! [X8: hF_Mirabelle_hf,X9: hF_Mirabelle_hf] :
( ( X7
= ( hF_Mirabelle_hinsert @ X8 @ X9 ) )
=> ( hF_Mirabelle_hmem @ X8 @ X9 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SdicyvxzQh/E---3.1_2974618.p',fact_3_hf__cases) ).
thf(fact_1_hemptyE,axiom,
! [X6: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X6 @ zero_z189798548lle_hf ),
file('/export/starexec/sandbox2/tmp/tmp.SdicyvxzQh/E---3.1_2974618.p',fact_1_hemptyE) ).
thf(c_0_4,negated_conjecture,
~ ( ( z = zero_z189798548lle_hf )
<=> ! [X5: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X5 @ z ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_5,plain,
! [X1553: hF_Mirabelle_hf,X1554: hF_Mirabelle_hf,X1555: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_hmem @ X1553 @ ( hF_Mirabelle_hinsert @ X1554 @ X1555 ) )
| ( X1553 = X1554 )
| ( hF_Mirabelle_hmem @ X1553 @ X1555 ) )
& ( ( X1553 != X1554 )
| ( hF_Mirabelle_hmem @ X1553 @ ( hF_Mirabelle_hinsert @ X1554 @ X1555 ) ) )
& ( ~ ( hF_Mirabelle_hmem @ X1553 @ X1555 )
| ( hF_Mirabelle_hmem @ X1553 @ ( hF_Mirabelle_hinsert @ X1554 @ X1555 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_hmem__hinsert])])])]) ).
thf(c_0_6,plain,
! [X7: hF_Mirabelle_hf] :
( ( X7 != zero_z189798548lle_hf )
=> ~ ! [X8: hF_Mirabelle_hf,X9: hF_Mirabelle_hf] :
( ( X7
= ( hF_Mirabelle_hinsert @ X8 @ X9 ) )
=> ( hF_Mirabelle_hmem @ X8 @ X9 ) ) ),
inference(fof_simplification,[status(thm)],[fact_3_hf__cases]) ).
thf(c_0_7,negated_conjecture,
~ ( ( z = zero_z189798548lle_hf )
<=> ! [X5: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X5 @ z ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
thf(c_0_8,plain,
! [X1: hF_Mirabelle_hf,X3: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X1 @ ( hF_Mirabelle_hinsert @ X2 @ X3 ) )
| ( X1 != X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
! [X1550: hF_Mirabelle_hf] :
( ( ( X1550
= ( hF_Mirabelle_hinsert @ ( esk2_1 @ X1550 ) @ ( esk3_1 @ X1550 ) ) )
| ( X1550 = zero_z189798548lle_hf ) )
& ( ~ ( hF_Mirabelle_hmem @ ( esk2_1 @ X1550 ) @ ( esk3_1 @ X1550 ) )
| ( X1550 = zero_z189798548lle_hf ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
thf(c_0_10,negated_conjecture,
! [X2527: hF_Mirabelle_hf] :
( ( ( z != zero_z189798548lle_hf )
| ( hF_Mirabelle_hmem @ esk173_0 @ z ) )
& ( ( z = zero_z189798548lle_hf )
| ~ ( hF_Mirabelle_hmem @ X2527 @ z ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).
thf(c_0_11,plain,
! [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X1 @ ( hF_Mirabelle_hinsert @ X1 @ X2 ) ),
inference(er,[status(thm)],[c_0_8]) ).
thf(c_0_12,plain,
! [X1: hF_Mirabelle_hf] :
( ( X1
= ( hF_Mirabelle_hinsert @ ( esk2_1 @ X1 ) @ ( esk3_1 @ X1 ) ) )
| ( X1 = zero_z189798548lle_hf ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_13,plain,
! [X6: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X6 @ zero_z189798548lle_hf ),
inference(fof_simplification,[status(thm)],[fact_1_hemptyE]) ).
thf(c_0_14,negated_conjecture,
! [X1: hF_Mirabelle_hf] :
( ( z = zero_z189798548lle_hf )
| ~ ( hF_Mirabelle_hmem @ X1 @ z ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_15,plain,
! [X1: hF_Mirabelle_hf] :
( ( X1 = zero_z189798548lle_hf )
| ( hF_Mirabelle_hmem @ ( esk2_1 @ X1 ) @ X1 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_16,plain,
! [X1548: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X1548 @ zero_z189798548lle_hf ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_13])]) ).
thf(c_0_17,negated_conjecture,
( ( hF_Mirabelle_hmem @ esk173_0 @ z )
| ( z != zero_z189798548lle_hf ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_18,negated_conjecture,
z = zero_z189798548lle_hf,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_19,plain,
! [X1: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X1 @ zero_z189798548lle_hf ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_18])]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP072^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n003.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Tue Sep 29 19:48:58 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running higher-order theorem proving
% 0.06/0.23 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.SdicyvxzQh/E---3.1_2974618.p
% 0.20/0.32 % Version: 3.5.1-ho
% 0.20/0.32 % Preprocessing class: HSLSSMSMSSMNHFA.
% 0.20/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.32 % Starting new_ho_3 with 1500s (5) cores
% 0.20/0.32 % Starting sh7 with 300s (1) cores
% 0.20/0.32 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.20/0.32 % Starting pre_casc_7 with 300s (1) cores
% 0.20/0.32 % pre_casc_7 with pid 2974634 completed with status 0
% 0.20/0.32 % Result found by pre_casc_7
% 0.20/0.32 % Preprocessing class: HSLSSMSMSSMNHFA.
% 0.20/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.32 % Starting new_ho_3 with 1500s (5) cores
% 0.20/0.32 % Starting sh7 with 300s (1) cores
% 0.20/0.32 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.20/0.32 % Starting pre_casc_7 with 300s (1) cores
% 0.20/0.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.32 % No SInE strategy applied
% 0.20/0.32 % Search class: HGHSM-FSLM32-MHFFFSBN
% 0.20/0.32 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.32 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.32 % SubtermCWHack with pid 2974635 completed with status 0
% 0.20/0.32 % Result found by SubtermCWHack
% 0.20/0.32 % Preprocessing class: HSLSSMSMSSMNHFA.
% 0.20/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.32 % Starting new_ho_3 with 1500s (5) cores
% 0.20/0.32 % Starting sh7 with 300s (1) cores
% 0.20/0.32 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.20/0.32 % Starting pre_casc_7 with 300s (1) cores
% 0.20/0.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.32 % No SInE strategy applied
% 0.20/0.32 % Search class: HGHSM-FSLM32-MHFFFSBN
% 0.20/0.32 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.32 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.32 % Preprocessing time : 0.010 s
% 0.20/0.32
% 0.20/0.32 % Proof found!
% 0.20/0.32 % SZS status Theorem
% 0.20/0.32 % SZS output start CNFRefutation
% See solution above
% 0.20/0.32 % Parsed axioms : 415
% 0.20/0.32 % Removed by relevancy pruning/SinE : 0
% 0.20/0.32 % Initial clauses : 875
% 0.20/0.32 % Removed in clause preprocessing : 87
% 0.20/0.32 % Initial clauses in saturation : 788
% 0.20/0.32 % Processed clauses : 357
% 0.20/0.32 % ...of these trivial : 7
% 0.20/0.32 % ...subsumed : 113
% 0.20/0.32 % ...remaining for further processing : 237
% 0.20/0.32 % Other redundant clauses eliminated : 66
% 0.20/0.32 % Clauses deleted for lack of memory : 0
% 0.20/0.32 % Backward-subsumed : 4
% 0.20/0.32 % Backward-rewritten : 6
% 0.20/0.32 % Generated clauses : 293
% 0.20/0.32 % ...of the previous two non-redundant : 164
% 0.20/0.32 % ...aggressively subsumed : 0
% 0.20/0.32 % Contextual simplify-reflections : 2
% 0.20/0.32 % Paramodulations : 217
% 0.20/0.32 % Factorizations : 2
% 0.20/0.32 % NegExts : 0
% 0.20/0.32 % Equation resolutions : 66
% 0.20/0.32 % Disequality decompositions : 0
% 0.20/0.32 % Total rewrite steps : 131
% 0.20/0.32 % ...of those cached : 98
% 0.20/0.32 % Propositional unsat checks : 0
% 0.20/0.32 % Propositional check models : 0
% 0.20/0.32 % Propositional check unsatisfiable : 0
% 0.20/0.32 % Propositional clauses : 0
% 0.20/0.32 % Propositional clauses after purity: 0
% 0.20/0.32 % Propositional unsat core size : 0
% 0.20/0.32 % Propositional preprocessing time : 0.000
% 0.20/0.32 % Propositional encoding time : 0.000
% 0.20/0.32 % Propositional solver time : 0.000
% 0.20/0.32 % Success case prop preproc time : 0.000
% 0.20/0.32 % Success case prop encoding time : 0.000
% 0.20/0.32 % Success case prop solver time : 0.000
% 0.20/0.32 % Current number of processed clauses : 174
% 0.20/0.32 % Positive orientable unit clauses : 46
% 0.20/0.32 % Positive unorientable unit clauses: 0
% 0.20/0.32 % Negative unit clauses : 15
% 0.20/0.32 % Non-unit-clauses : 113
% 0.20/0.32 % Current number of unprocessed clauses: 595
% 0.20/0.32 % ...number of literals in the above : 2068
% 0.20/0.32 % Current number of archived formulas : 0
% 0.20/0.32 % Current number of archived clauses : 12
% 0.20/0.32 % Clause-clause subsumption calls (NU) : 1700
% 0.20/0.32 % Rec. Clause-clause subsumption calls : 1553
% 0.20/0.32 % Non-unit clause-clause subsumptions : 61
% 0.20/0.32 % Unit Clause-clause subsumption calls : 208
% 0.20/0.32 % Rewrite failures with RHS unbound : 0
% 0.20/0.32 % BW rewrite match attempts : 16
% 0.20/0.32 % BW rewrite match successes : 5
% 0.20/0.32 % Condensation attempts : 0
% 0.20/0.32 % Condensation successes : 0
% 0.20/0.32 % Termbank termtop insertions : 62035
% 0.20/0.32 % Search garbage collected termcells : 18210
% 0.20/0.32
% 0.20/0.32 % -------------------------------------------------
% 0.20/0.32 % User time : 0.041 s
% 0.20/0.32 % System time : 0.012 s
% 0.20/0.32 % Total time : 0.053 s
% 0.20/0.32 % Maximum resident set size: 7412 pages
% 0.20/0.32
% 0.20/0.32 % -------------------------------------------------
% 0.20/0.32 % User time : 0.055 s
% 0.20/0.32 % System time : 0.018 s
% 0.20/0.32 % Total time : 0.073 s
% 0.20/0.32 % Maximum resident set size: 5888 pages
% 0.20/0.32 % E exiting
%------------------------------------------------------------------------------