%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET600^5 : TPTP v9.3.1. Released v4.0.0.
% 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 08:22:10 AM UTC 2026
% Result : Theorem 0.08s 0.22s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 177 ( 6 equ; 0 cnn)
% Maximal formula atoms : 128 ( 11 avg)
% Number of connectives : 359 ( 98 ~; 129 |; 26 &; 100 @)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 34 ( 8 ^; 26 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: a > $o ).
thf(decl_24,type,
epred2_0: a > $o ).
thf(decl_25,type,
esk1_0: a ).
thf(decl_26,type,
esk2_0: a ).
thf(decl_27,type,
esk3_0: a ).
thf(cBOOL_PROP_59_pme,conjecture,
! [X1: a > $o,X2: a > $o] :
( ( ( ^ [X3: a] :
( ( X1 @ X3 )
| ( X2 @ X3 ) ) )
= ( ^ [X4: a] : ~ $true ) )
<=> ( ( X1
= ( ^ [X4: a] : ~ $true ) )
& ( X2
= ( ^ [X4: a] : ~ $true ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ZUiIPKlzmB/E---3.1_358926.p',cBOOL_PROP_59_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o] :
( ( ( ^ [X3: a] :
( ( X1 @ X3 )
| ( X2 @ X3 ) ) )
= ( ^ [X4: a] : ~ $true ) )
<=> ( ( X1
= ( ^ [X4: a] : ~ $true ) )
& ( X2
= ( ^ [X4: a] : ~ $true ) ) ) ),
inference(assume_negation,[status(cth)],[cBOOL_PROP_59_pme]) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o] :
( ! [X7: a] :
( ( ( X1 @ X7 )
| ( X2 @ X7 ) )
<=> ~ $true )
<=> ( ! [X8: a] :
( ( X1 @ X8 )
<=> ~ $true )
& ! [X9: a] :
( ( X2 @ X9 )
<=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])]) ).
thf(c_0_3,negated_conjecture,
! [X15: a,X16: a,X17: a] :
( ( ~ ( epred2_0 @ esk3_0 )
| $true
| ~ ( epred1_0 @ esk2_0 )
| $true
| ~ ( epred1_0 @ esk1_0 )
| $true )
& ( ( epred2_0 @ esk3_0 )
| ~ $true
| ~ ( epred1_0 @ esk2_0 )
| $true
| ~ ( epred1_0 @ esk1_0 )
| $true )
& ( ~ ( epred2_0 @ esk3_0 )
| $true
| ( epred1_0 @ esk2_0 )
| ~ $true
| ~ ( epred1_0 @ esk1_0 )
| $true )
& ( ( epred2_0 @ esk3_0 )
| ~ $true
| ( epred1_0 @ esk2_0 )
| ~ $true
| ~ ( epred1_0 @ esk1_0 )
| $true )
& ( ~ ( epred2_0 @ esk3_0 )
| $true
| ~ ( epred1_0 @ esk2_0 )
| $true
| ~ ( epred2_0 @ esk1_0 )
| $true )
& ( ( epred2_0 @ esk3_0 )
| ~ $true
| ~ ( epred1_0 @ esk2_0 )
| $true
| ~ ( epred2_0 @ esk1_0 )
| $true )
& ( ~ ( epred2_0 @ esk3_0 )
| $true
| ( epred1_0 @ esk2_0 )
| ~ $true
| ~ ( epred2_0 @ esk1_0 )
| $true )
& ( ( epred2_0 @ esk3_0 )
| ~ $true
| ( epred1_0 @ esk2_0 )
| ~ $true
| ~ ( epred2_0 @ esk1_0 )
| $true )
& ( ~ ( epred2_0 @ esk3_0 )
| $true
| ~ ( epred1_0 @ esk2_0 )
| $true
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ $true )
& ( ( epred2_0 @ esk3_0 )
| ~ $true
| ~ ( epred1_0 @ esk2_0 )
| $true
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ $true )
& ( ~ ( epred2_0 @ esk3_0 )
| $true
| ( epred1_0 @ esk2_0 )
| ~ $true
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ $true )
& ( ( epred2_0 @ esk3_0 )
| ~ $true
| ( epred1_0 @ esk2_0 )
| ~ $true
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ $true )
& ( ~ ( epred1_0 @ X16 )
| ~ $true
| ~ ( epred1_0 @ X15 )
| ~ $true )
& ( $true
| ( epred1_0 @ X16 )
| ~ ( epred1_0 @ X15 )
| ~ $true )
& ( ~ ( epred2_0 @ X17 )
| ~ $true
| ~ ( epred1_0 @ X15 )
| ~ $true )
& ( $true
| ( epred2_0 @ X17 )
| ~ ( epred1_0 @ X15 )
| ~ $true )
& ( ~ ( epred1_0 @ X16 )
| ~ $true
| ~ ( epred2_0 @ X15 )
| ~ $true )
& ( $true
| ( epred1_0 @ X16 )
| ~ ( epred2_0 @ X15 )
| ~ $true )
& ( ~ ( epred2_0 @ X17 )
| ~ $true
| ~ ( epred2_0 @ X15 )
| ~ $true )
& ( $true
| ( epred2_0 @ X17 )
| ~ ( epred2_0 @ X15 )
| ~ $true )
& ( ~ ( epred1_0 @ X16 )
| ~ $true
| $true
| ( epred1_0 @ X15 )
| ( epred2_0 @ X15 ) )
& ( $true
| ( epred1_0 @ X16 )
| $true
| ( epred1_0 @ X15 )
| ( epred2_0 @ X15 ) )
& ( ~ ( epred2_0 @ X17 )
| ~ $true
| $true
| ( epred1_0 @ X15 )
| ( epred2_0 @ X15 ) )
& ( $true
| ( epred2_0 @ X17 )
| $true
| ( epred1_0 @ X15 )
| ( epred2_0 @ X15 ) ) ),
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_2])])])])])]) ).
thf(c_0_4,negated_conjecture,
! [X3: a,X4: a] :
( ~ ( epred2_0 @ X3 )
| ~ $true
| ~ ( epred2_0 @ X4 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
( ( epred2_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ $true
| ~ $true
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X3: a,X4: a] :
( ~ ( epred2_0 @ X3 )
| ~ $true
| ~ ( epred1_0 @ X4 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
! [X4: a,X3: a] :
( ~ ( epred2_0 @ X4 )
| ~ ( epred2_0 @ X3 ) ),
inference(cn,[status(thm)],[c_0_4]) ).
thf(c_0_8,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[c_0_5]) ).
thf(c_0_9,negated_conjecture,
! [X4: a,X3: a] :
( ~ ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X3 ) ),
inference(cn,[status(thm)],[c_0_6]) ).
thf(c_0_10,negated_conjecture,
! [X3: a,X4: a] :
( ~ ( epred1_0 @ X3 )
| ~ $true
| ~ ( epred1_0 @ X4 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_11,negated_conjecture,
! [X3: a] :
~ ( epred2_0 @ X3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_9]),c_0_7]) ).
thf(c_0_12,negated_conjecture,
! [X4: a,X3: a] :
( ~ ( epred1_0 @ X4 )
| ~ ( epred1_0 @ X3 ) ),
inference(cn,[status(thm)],[c_0_10]) ).
thf(c_0_13,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_8,c_0_11]),c_0_11]) ).
thf(c_0_14,negated_conjecture,
! [X3: a] :
~ ( epred1_0 @ X3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_12]) ).
thf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_13,c_0_14]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET600^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.15 % Computer : n016.cluster.edu
% 0.08/0.15 % Model : x86_64 x86_64
% 0.08/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.15 % Memory : 8046.5625MB
% 0.08/0.15 % OS : Linux 6.8.0-71-generic
% 0.08/0.15 % CPULimit : 300
% 0.08/0.15 % WCLimit : 300
% 0.08/0.15 % DateTime : Tue Sep 29 13:43:04 UTC 2026
% 0.08/0.15 % CPUTime :
% 0.08/0.15 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 Running higher-order theorem proving
% 0.08/0.21 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.ZUiIPKlzmB/E---3.1_358926.p
% 0.08/0.22 % Version: 3.5.1-ho
% 0.08/0.22 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.08/0.22 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.22 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.08/0.22 % Starting post_as_ho10 with 300s (1) cores
% 0.08/0.22 % Starting new_bool_9 with 300s (1) cores
% 0.08/0.22 % Starting sh5l with 300s (1) cores
% 0.08/0.22 % post_as_ho10 with pid 358940 completed with status 0
% 0.08/0.22 % Result found by post_as_ho10
% 0.08/0.22 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.08/0.22 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.22 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.08/0.22 % Starting post_as_ho10 with 300s (1) cores
% 0.08/0.22 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.22 % No SInE strategy applied
% 0.08/0.22 % Search class: HGHNF-FFSF00-SSSFFFNN
% 0.08/0.22 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.22 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.22 % SubtermCWHack with pid 358950 completed with status 0
% 0.08/0.22 % Result found by SubtermCWHack
% 0.08/0.22 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.08/0.22 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.22 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.08/0.22 % Starting post_as_ho10 with 300s (1) cores
% 0.08/0.22 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.22 % No SInE strategy applied
% 0.08/0.22 % Search class: HGHNF-FFSF00-SSSFFFNN
% 0.08/0.22 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.22 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.22 % Preprocessing time : 0.001 s
% 0.08/0.22
% 0.08/0.22 % Proof found!
% 0.08/0.22 % SZS status Theorem
% 0.08/0.22 % SZS output start CNFRefutation
% See solution above
% 0.08/0.22 % Parsed axioms : 2
% 0.08/0.22 % Removed by relevancy pruning/SinE : 0
% 0.08/0.22 % Initial clauses : 25
% 0.08/0.22 % Removed in clause preprocessing : 20
% 0.08/0.22 % Initial clauses in saturation : 5
% 0.08/0.22 % Processed clauses : 8
% 0.08/0.22 % ...of these trivial : 0
% 0.08/0.22 % ...subsumed : 1
% 0.08/0.22 % ...remaining for further processing : 7
% 0.08/0.22 % Other redundant clauses eliminated : 0
% 0.08/0.22 % Clauses deleted for lack of memory : 0
% 0.08/0.22 % Backward-subsumed : 3
% 0.08/0.22 % Backward-rewritten : 0
% 0.08/0.22 % Generated clauses : 4
% 0.08/0.22 % ...of the previous two non-redundant : 3
% 0.08/0.22 % ...aggressively subsumed : 0
% 0.08/0.22 % Contextual simplify-reflections : 4
% 0.08/0.22 % Paramodulations : 2
% 0.08/0.22 % Factorizations : 0
% 0.08/0.22 % NegExts : 0
% 0.08/0.22 % Equation resolutions : 0
% 0.08/0.22 % Disequality decompositions : 0
% 0.08/0.22 % Total rewrite steps : 0
% 0.08/0.22 % ...of those cached : 0
% 0.08/0.22 % Propositional unsat checks : 0
% 0.08/0.22 % Propositional check models : 0
% 0.08/0.22 % Propositional check unsatisfiable : 0
% 0.08/0.22 % Propositional clauses : 0
% 0.08/0.22 % Propositional clauses after purity: 0
% 0.08/0.22 % Propositional unsat core size : 0
% 0.08/0.22 % Propositional preprocessing time : 0.000
% 0.08/0.22 % Propositional encoding time : 0.000
% 0.08/0.22 % Propositional solver time : 0.000
% 0.08/0.22 % Success case prop preproc time : 0.000
% 0.08/0.22 % Success case prop encoding time : 0.000
% 0.08/0.22 % Success case prop solver time : 0.000
% 0.08/0.22 % Current number of processed clauses : 2
% 0.08/0.22 % Positive orientable unit clauses : 0
% 0.08/0.22 % Positive unorientable unit clauses: 0
% 0.08/0.22 % Negative unit clauses : 2
% 0.08/0.22 % Non-unit-clauses : 0
% 0.08/0.22 % Current number of unprocessed clauses: 0
% 0.08/0.22 % ...number of literals in the above : 0
% 0.08/0.22 % Current number of archived formulas : 0
% 0.08/0.22 % Current number of archived clauses : 5
% 0.08/0.22 % Clause-clause subsumption calls (NU) : 5
% 0.08/0.22 % Rec. Clause-clause subsumption calls : 5
% 0.08/0.22 % Non-unit clause-clause subsumptions : 5
% 0.08/0.22 % Unit Clause-clause subsumption calls : 3
% 0.08/0.22 % Rewrite failures with RHS unbound : 0
% 0.08/0.22 % BW rewrite match attempts : 0
% 0.08/0.22 % BW rewrite match successes : 0
% 0.08/0.22 % Condensation attempts : 0
% 0.08/0.22 % Condensation successes : 0
% 0.08/0.22 % Termbank termtop insertions : 1404
% 0.08/0.22 % Search garbage collected termcells : 426
% 0.08/0.22
% 0.08/0.22 % -------------------------------------------------
% 0.08/0.22 % User time : 0.005 s
% 0.08/0.22 % System time : 0.001 s
% 0.08/0.22 % Total time : 0.006 s
% 0.08/0.22 % Maximum resident set size: 3628 pages
% 0.08/0.22
% 0.08/0.22 % -------------------------------------------------
% 0.08/0.22 % User time : 0.008 s
% 0.08/0.22 % System time : 0.003 s
% 0.08/0.22 % Total time : 0.011 s
% 0.08/0.22 % Maximum resident set size: 4608 pages
% 0.08/0.22 % E exiting
%------------------------------------------------------------------------------