%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV085^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 08:34:50 AM UTC 2026
% Result : Theorem 0.22s 0.27s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 53 ( 8 equ; 0 cnn)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 167 ( 21 ~; 23 |; 10 &; 110 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 66 ( 66 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 50 ( 0 ^; 40 !; 10 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
epred1_1: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(decl_24,type,
epred2_1: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(decl_25,type,
epred3_1: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(decl_26,type,
epred4_1: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(cTHM120_2_pme,conjecture,
? [X1: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X2: $i > $o,X3: $i > $o] : ( X1 @ X2 @ X3 )
& ? [X4: $i > $o,X5: $i > $o] :
~ ( X1 @ X4 @ X5 )
& ! [X6: $i > $o] : ( X1 @ X6 @ X6 )
& ! [X6: $i > $o,X7: $i > $o,X8: $i > $o] :
( ( ( X1 @ X6 @ X7 )
& ( X1 @ X7 @ X8 ) )
=> ( X1 @ X6 @ X8 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.JVOfy9hYys/E---3.1_2230810.p',cTHM120_2_pme) ).
thf(c_0_1,negated_conjecture,
~ ? [X1: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X2: $i > $o,X3: $i > $o] : ( X1 @ X2 @ X3 )
& ? [X4: $i > $o,X5: $i > $o] :
~ ( X1 @ X4 @ X5 )
& ! [X6: $i > $o] : ( X1 @ X6 @ X6 )
& ! [X6: $i > $o,X7: $i > $o,X8: $i > $o] :
( ( ( X1 @ X6 @ X7 )
& ( X1 @ X7 @ X8 ) )
=> ( X1 @ X6 @ X8 ) ) ),
inference(assume_negation,[status(cth)],[cTHM120_2_pme]) ).
thf(c_0_2,negated_conjecture,
! [X18: ( $i > $o ) > ( $i > $o ) > $o,X19: $i > $o,X20: $i > $o,X21: $i > $o,X22: $i > $o] :
( ( ( X18 @ ( epred2_1 @ X18 ) @ ( epred3_1 @ X18 ) )
| ~ ( X18 @ X19 @ X20 )
| ( X18 @ X21 @ X22 )
| ~ ( X18 @ ( epred1_1 @ X18 ) @ ( epred1_1 @ X18 ) ) )
& ( ( X18 @ ( epred3_1 @ X18 ) @ ( epred4_1 @ X18 ) )
| ~ ( X18 @ X19 @ X20 )
| ( X18 @ X21 @ X22 )
| ~ ( X18 @ ( epred1_1 @ X18 ) @ ( epred1_1 @ X18 ) ) )
& ( ~ ( X18 @ ( epred2_1 @ X18 ) @ ( epred4_1 @ X18 ) )
| ~ ( X18 @ X19 @ X20 )
| ( X18 @ X21 @ X22 )
| ~ ( X18 @ ( epred1_1 @ X18 ) @ ( epred1_1 @ X18 ) ) ) ),
inference(distribute,[status(thm)],[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_1])])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X5: $i > $o,X4: $i > $o,X3: $i > $o,X2: $i > $o,X1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( X1 @ X4 @ X5 )
| ~ ( X1 @ ( epred2_1 @ X1 ) @ ( epred4_1 @ X1 ) )
| ~ ( X1 @ X2 @ X3 )
| ~ ( X1 @ ( epred1_1 @ X1 ) @ ( epred1_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X5: $i > $o,X4: $i > $o,X3: $i > $o,X2: $i > $o,X1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( X1 @ ( epred2_1 @ X1 ) @ ( epred3_1 @ X1 ) )
| ( X1 @ X4 @ X5 )
| ~ ( X1 @ X2 @ X3 )
| ~ ( X1 @ ( epred1_1 @ X1 ) @ ( epred1_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X2: $i > $o,X3: $i > $o] :
( ( X2 = X3 )
| ( ( epred4_1 @ $eq )
!= ( epred2_1 @ $eq ) ) ),
inference(er,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_3])]) ).
thf(c_0_6,negated_conjecture,
! [X2: $i > $o,X3: $i > $o] :
( ( ( epred3_1 @ $eq )
= ( epred2_1 @ $eq ) )
| ( X2 = X3 ) ),
inference(er,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_4])]) ).
thf(c_0_7,negated_conjecture,
! [X2: $i > $o,X3: $i > $o,X29: $i] :
( ( ( X2 @ X29 )
<=> ( X3 @ X29 ) )
| ( ( epred4_1 @ $eq )
!= ( epred2_1 @ $eq ) ) ),
inference(arg_cong,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
! [X5: $i > $o,X4: $i > $o,X3: $i > $o,X2: $i > $o,X1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( X1 @ ( epred3_1 @ X1 ) @ ( epred4_1 @ X1 ) )
| ( X1 @ X4 @ X5 )
| ~ ( X1 @ X2 @ X3 )
| ~ ( X1 @ ( epred1_1 @ X1 ) @ ( epred1_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
( ( epred3_1 @ $eq )
= ( epred2_1 @ $eq ) ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_6])]) ).
thf(c_0_10,negated_conjecture,
! [X2: $i > $o,X3: $i > $o,X29: $i] :
( ( X2 @ X29 )
| ( ( epred4_1 @ $eq )
!= ( epred2_1 @ $eq ) )
| ~ ( X3 @ X29 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_7]) ).
thf(c_0_11,negated_conjecture,
! [X2: $i > $o,X3: $i > $o] : ( X2 = X3 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_8])]),c_0_9]),c_0_5]) ).
thf(c_0_12,negated_conjecture,
$false,
inference(flex_resolve,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_11])])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV085^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n013.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 15:06:21 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.JVOfy9hYys/E---3.1_2230810.p
% 0.22/0.27 % Version: 3.5.1-ho
% 0.22/0.27 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.22/0.27 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.27 % Starting sh2lt with 1200s (4) cores
% 0.22/0.27 % Starting new_ho_10_unif with 300s (1) cores
% 0.22/0.27 % Starting full_lambda_6 with 300s (1) cores
% 0.22/0.27 % Starting post_as_ho1 with 300s (1) cores
% 0.22/0.27 % Starting ehoh_best3_rw with 300s (1) cores
% 0.22/0.27 % new_ho_10_unif with pid 2230840 completed with status 0
% 0.22/0.27 % Result found by new_ho_10_unif
% 0.22/0.27 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.22/0.27 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.27 % Starting sh2lt with 1200s (4) cores
% 0.22/0.27 % Starting new_ho_10_unif with 300s (1) cores
% 0.22/0.27 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.27 % No SInE strategy applied
% 0.22/0.27 % Search class: HGUNF-FFSF00-SHHFFMBN
% 0.22/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.27 % SubtermCWHack with pid 2230844 completed with status 10
% 0.22/0.27 % Starting new_ho_10_unif with 31s (1) cores
% 0.22/0.27 % new_ho_10_unif with pid 2230852 completed with status 10
% 0.22/0.27 % Starting ehoh_best_sine with 28s (1) cores
% 0.22/0.27 % ehoh_best_sine with pid 2230856 completed with status 0
% 0.22/0.27 % Result found by ehoh_best_sine
% 0.22/0.27 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.22/0.27 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.27 % Starting sh2lt with 1200s (4) cores
% 0.22/0.27 % Starting new_ho_10_unif with 300s (1) cores
% 0.22/0.27 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.27 % No SInE strategy applied
% 0.22/0.27 % Search class: HGUNF-FFSF00-SHHFFMBN
% 0.22/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.27 % SubtermCWHack with pid 2230844 completed with status 10
% 0.22/0.27 % Starting new_ho_10_unif with 31s (1) cores
% 0.22/0.27 % new_ho_10_unif with pid 2230852 completed with status 10
% 0.22/0.27 % Starting ehoh_best_sine with 28s (1) cores
% 0.22/0.27 % Preprocessing time : 0.001 s
% 0.22/0.27 % Presaturation interreduction done
% 0.22/0.27
% 0.22/0.27 % Proof found!
% 0.22/0.27 % SZS status Theorem
% 0.22/0.27 % SZS output start CNFRefutation
% See solution above
% 0.22/0.27 % Parsed axioms : 1
% 0.22/0.27 % Removed by relevancy pruning/SinE : 0
% 0.22/0.27 % Initial clauses : 3
% 0.22/0.27 % Removed in clause preprocessing : 0
% 0.22/0.27 % Initial clauses in saturation : 3
% 0.22/0.27 % Processed clauses : 25
% 0.22/0.27 % ...of these trivial : 1
% 0.22/0.27 % ...subsumed : 3
% 0.22/0.27 % ...remaining for further processing : 20
% 0.22/0.27 % Other redundant clauses eliminated : 21
% 0.22/0.27 % Clauses deleted for lack of memory : 0
% 0.22/0.27 % Backward-subsumed : 2
% 0.22/0.27 % Backward-rewritten : 7
% 0.22/0.27 % Generated clauses : 121
% 0.22/0.27 % ...of the previous two non-redundant : 88
% 0.22/0.27 % ...aggressively subsumed : 0
% 0.22/0.27 % Contextual simplify-reflections : 1
% 0.22/0.27 % Paramodulations : 29
% 0.22/0.27 % Factorizations : 15
% 0.22/0.27 % NegExts : 2
% 0.22/0.27 % Equation resolutions : 21
% 0.22/0.27 % Disequality decompositions : 0
% 0.22/0.27 % Total rewrite steps : 24
% 0.22/0.27 % ...of those cached : 5
% 0.22/0.27 % Propositional unsat checks : 0
% 0.22/0.27 % Propositional check models : 0
% 0.22/0.27 % Propositional check unsatisfiable : 0
% 0.22/0.27 % Propositional clauses : 0
% 0.22/0.27 % Propositional clauses after purity: 0
% 0.22/0.27 % Propositional unsat core size : 0
% 0.22/0.27 % Propositional preprocessing time : 0.000
% 0.22/0.27 % Propositional encoding time : 0.000
% 0.22/0.27 % Propositional solver time : 0.000
% 0.22/0.27 % Success case prop preproc time : 0.000
% 0.22/0.27 % Success case prop encoding time : 0.000
% 0.22/0.27 % Success case prop solver time : 0.000
% 0.22/0.27 % Current number of processed clauses : 4
% 0.22/0.27 % Positive orientable unit clauses : 0
% 0.22/0.27 % Positive unorientable unit clauses: 1
% 0.22/0.27 % Negative unit clauses : 0
% 0.22/0.27 % Non-unit-clauses : 3
% 0.22/0.27 % Current number of unprocessed clauses: 64
% 0.22/0.27 % ...number of literals in the above : 233
% 0.22/0.27 % Current number of archived formulas : 0
% 0.22/0.27 % Current number of archived clauses : 16
% 0.22/0.27 % Clause-clause subsumption calls (NU) : 25
% 0.22/0.27 % Rec. Clause-clause subsumption calls : 18
% 0.22/0.27 % Non-unit clause-clause subsumptions : 3
% 0.22/0.27 % Unit Clause-clause subsumption calls : 5
% 0.22/0.27 % Rewrite failures with RHS unbound : 0
% 0.22/0.27 % BW rewrite match attempts : 57
% 0.22/0.27 % BW rewrite match successes : 19
% 0.22/0.27 % Condensation attempts : 0
% 0.22/0.27 % Condensation successes : 0
% 0.22/0.27 % Termbank termtop insertions : 10113
% 0.22/0.27 % Search garbage collected termcells : 151
% 0.22/0.27
% 0.22/0.27 % -------------------------------------------------
% 0.22/0.27 % User time : 0.008 s
% 0.22/0.27 % System time : 0.002 s
% 0.22/0.27 % Total time : 0.010 s
% 0.22/0.27 % Maximum resident set size: 3632 pages
% 0.22/0.27
% 0.22/0.27 % -------------------------------------------------
% 0.22/0.27 % User time : 0.009 s
% 0.22/0.27 % System time : 0.006 s
% 0.22/0.27 % Total time : 0.014 s
% 0.22/0.27 % Maximum resident set size: 4864 pages
% 0.22/0.27 % E exiting
%------------------------------------------------------------------------------