%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU859^5 : 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 : n020.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 08:25:51 AM UTC 2026
% Result : Theorem 0.67s 0.76s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 60 ( 16 equ; 0 cnn)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 166 ( 32 ~; 30 |; 10 &; 79 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 64 ( 31 ^; 33 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: a > $o ).
thf(decl_24,type,
esk1_0: a ).
thf(decl_25,type,
epred2_1: ( ( a > $o ) > $o ) > a > $o ).
thf(decl_26,type,
esk2_1: ( ( a > $o ) > $o ) > a ).
thf(decl_27,type,
epred3_0: ( a > $o ) > $o ).
thf(cTHM164_pme,conjecture,
! [X1: a > $o,X2: a] :
( ! [X3: ( a > $o ) > $o] :
( ( ( X3
@ ^ [X4: a] : ~ $true )
& ! [X5: a > $o,X4: a] :
( ( X3 @ X5 )
=> ( X3
@ ^ [X6: a] :
( ( X5 @ X6 )
| ( X6 = X4 ) ) ) ) )
=> ( X3 @ X1 ) )
=> ! [X3: ( a > $o ) > $o] :
( ( ( X3
@ ^ [X4: a] : ~ $true )
& ! [X5: a > $o,X4: a] :
( ( X3 @ X5 )
=> ( X3
@ ^ [X6: a] :
( ( X5 @ X6 )
| ( X6 = X4 ) ) ) ) )
=> ( X3
@ ^ [X6: a] :
( ( X1 @ X6 )
| ( X6 = X2 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.9EoNjMzElq/E---3.1_1142730.p',cTHM164_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > $o,X2: a] :
( ! [X3: ( a > $o ) > $o] :
( ( ( X3
@ ^ [X4: a] : ~ $true )
& ! [X5: a > $o,X4: a] :
( ( X3 @ X5 )
=> ( X3
@ ^ [X6: a] :
( ( X5 @ X6 )
| ( X6 = X4 ) ) ) ) )
=> ( X3 @ X1 ) )
=> ! [X3: ( a > $o ) > $o] :
( ( ( X3
@ ^ [X4: a] : ~ $true )
& ! [X5: a > $o,X4: a] :
( ( X3 @ X5 )
=> ( X3
@ ^ [X6: a] :
( ( X5 @ X6 )
| ( X6 = X4 ) ) ) ) )
=> ( X3
@ ^ [X6: a] :
( ( X1 @ X6 )
| ( X6 = X2 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM164_pme]) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: a > $o,X2: a] :
( ! [X3: ( a > $o ) > $o] :
( ( ( X3
@ ^ [Z0: a] : ~ $true )
& ! [X5: a > $o,X4: a] :
( ( X3 @ X5 )
=> ( X3
@ ^ [Z0: a] :
( ( X5 @ Z0 )
| ( Z0 = X4 ) ) ) ) )
=> ( X3 @ X1 ) )
=> ! [X3: ( a > $o ) > $o] :
( ( ( X3
@ ^ [Z0: a] : ~ $true )
& ! [X5: a > $o,X4: a] :
( ( X3 @ X5 )
=> ( X3
@ ^ [Z0: a] :
( ( X5 @ Z0 )
| ( Z0 = X4 ) ) ) ) )
=> ( X3
@ ^ [Z0: a] :
( ( X1 @ Z0 )
| ( Z0 = X2 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
! [X17: ( a > $o ) > $o,X21: a > $o,X22: a] :
( ( ( X17 @ ( epred2_1 @ X17 ) )
| ~ ( X17
@ ^ [Z0: a] : ~ $true )
| ( X17 @ epred1_0 ) )
& ( ~ ( X17
@ ^ [Z0: a] :
( ( epred2_1 @ X17 @ Z0 )
| ( Z0
= ( esk2_1 @ X17 ) ) ) )
| ~ ( X17
@ ^ [Z0: a] : ~ $true )
| ( X17 @ epred1_0 ) )
& ( epred3_0
@ ^ [Z0: a] : ~ $true )
& ( ~ ( epred3_0 @ X21 )
| ( epred3_0
@ ^ [Z0: a] :
( ( X21 @ Z0 )
| ( Z0 = X22 ) ) ) )
& ~ ( epred3_0
@ ^ [Z0: a] :
( ( epred1_0 @ Z0 )
| ( Z0 = esk1_0 ) ) ) ),
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 > $o ) > $o] :
( ( X3 @ epred1_0 )
| ~ ( X3
@ ^ [Z0: a] :
( ( epred2_1 @ X3 @ Z0 )
| ( Z0
= ( esk2_1 @ X3 ) ) ) )
| ~ ( X3
@ ^ [Z0: a] : ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
( epred3_0
@ ^ [Z0: a] : ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
~ ( epred3_0
@ ^ [Z0: a] :
( ( epred1_0 @ Z0 )
| ( Z0 = esk1_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
! [X2: a,X1: a > $o] :
( ( epred3_0
@ ^ [Z0: a] :
( ( X1 @ Z0 )
| ( Z0 = X2 ) ) )
| ~ ( epred3_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_8,negated_conjecture,
! [X3: ( a > $o ) > $o] :
( ( X3 @ epred1_0 )
| ~ ( X3
@ ^ [Z0: a] :
( ( epred2_1 @ X3 @ Z0 )
| ( Z0
= ( esk2_1 @ X3 ) ) ) )
| ~ ( X3
@ ^ [Z0: a] : ~ $true ) ),
inference(cn,[status(thm)],[c_0_4]) ).
thf(c_0_9,negated_conjecture,
( epred3_0
@ ^ [Z0: a] : ~ $true ),
inference(cn,[status(thm)],[c_0_5]) ).
thf(c_0_10,negated_conjecture,
~ ( epred3_0 @ epred1_0 ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_11,negated_conjecture,
! [X3: ( a > $o ) > $o] :
( ( X3 @ ( epred2_1 @ X3 ) )
| ( X3 @ epred1_0 )
| ~ ( X3
@ ^ [Z0: a] : ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_12,negated_conjecture,
~ ( epred3_0 @ ( epred2_1 @ epred3_0 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_7]),c_0_9])]),c_0_10]) ).
thf(c_0_13,negated_conjecture,
! [X3: ( a > $o ) > $o] :
( ( X3 @ ( epred2_1 @ X3 ) )
| ( X3 @ epred1_0 )
| ~ ( X3
@ ^ [Z0: a] : ~ $true ) ),
inference(cn,[status(thm)],[c_0_11]) ).
thf(c_0_14,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_9])]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU859^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n020.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 14:41:04 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 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.9EoNjMzElq/E---3.1_1142730.p
% 0.67/0.76 % Version: 3.5.1-ho
% 0.67/0.76 % Preprocessing class: HSSSSMSSSSMNHHA.
% 0.67/0.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.76 % Starting post_as_ho5 with 1500s (5) cores
% 0.67/0.76 % Starting sh2lt with 300s (1) cores
% 0.67/0.76 % Starting ehoh_best8_lambda with 300s (1) cores
% 0.67/0.76 % Starting post_as_ho10 with 300s (1) cores
% 0.67/0.76 % post_as_ho5 with pid 1142743 completed with status 0
% 0.67/0.76 % Result found by post_as_ho5
% 0.67/0.76 % Preprocessing class: HSSSSMSSSSMNHHA.
% 0.67/0.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.76 % Starting post_as_ho5 with 1500s (5) cores
% 0.67/0.76 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true))
% 0.67/0.76 % SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)
% 0.67/0.76 % Search class: HGUNF-FFSF11-MHHFFSBN
% 0.67/0.76 % partial match(1): HGUSF-FFSF11-MHHFFSBN
% 0.67/0.76 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.67/0.76 % Starting SubtermCWHack with 136s (1) cores
% 0.67/0.76 % Starting post_as_ho5 with 151s (1) cores
% 0.67/0.76 % Starting new_bool_3 with 282s (1) cores
% 0.67/0.76 % Starting new_bool_1 with 282s (1) cores
% 0.67/0.76 % Starting new_bool_2 with 282s (1) cores
% 0.67/0.76 % SubtermCWHack with pid 1142747 completed with status 0
% 0.67/0.76 % Result found by SubtermCWHack
% 0.67/0.76 % Preprocessing class: HSSSSMSSSSMNHHA.
% 0.67/0.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.76 % Starting post_as_ho5 with 1500s (5) cores
% 0.67/0.76 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true))
% 0.67/0.76 % SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)
% 0.67/0.76 % Search class: HGUNF-FFSF11-MHHFFSBN
% 0.67/0.76 % partial match(1): HGUSF-FFSF11-MHHFFSBN
% 0.67/0.76 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.67/0.76 % Starting SubtermCWHack with 136s (1) cores
% 0.67/0.76 % Preprocessing time : 0.001 s
% 0.67/0.76
% 0.67/0.76 % Proof found!
% 0.67/0.76 % SZS status Theorem
% 0.67/0.76 % SZS output start CNFRefutation
% See solution above
% 0.67/0.76 % Parsed axioms : 2
% 0.67/0.76 % Removed by relevancy pruning/SinE : 1
% 0.67/0.76 % Initial clauses : 5
% 0.67/0.76 % Removed in clause preprocessing : 0
% 0.67/0.76 % Initial clauses in saturation : 5
% 0.67/0.76 % Processed clauses : 7
% 0.67/0.76 % ...of these trivial : 0
% 0.67/0.76 % ...subsumed : 0
% 0.67/0.76 % ...remaining for further processing : 7
% 0.67/0.76 % Other redundant clauses eliminated : 0
% 0.67/0.76 % Clauses deleted for lack of memory : 0
% 0.67/0.76 % Backward-subsumed : 0
% 0.67/0.76 % Backward-rewritten : 0
% 0.67/0.76 % Generated clauses : 3
% 0.67/0.76 % ...of the previous two non-redundant : 2
% 0.67/0.76 % ...aggressively subsumed : 0
% 0.67/0.76 % Contextual simplify-reflections : 0
% 0.67/0.76 % Paramodulations : 3
% 0.67/0.76 % Factorizations : 0
% 0.67/0.76 % NegExts : 0
% 0.67/0.76 % Equation resolutions : 0
% 0.67/0.76 % Disequality decompositions : 0
% 0.67/0.76 % Total rewrite steps : 2
% 0.67/0.76 % ...of those cached : 1
% 0.67/0.76 % Propositional unsat checks : 0
% 0.67/0.76 % Propositional check models : 0
% 0.67/0.76 % Propositional check unsatisfiable : 0
% 0.67/0.76 % Propositional clauses : 0
% 0.67/0.76 % Propositional clauses after purity: 0
% 0.67/0.76 % Propositional unsat core size : 0
% 0.67/0.76 % Propositional preprocessing time : 0.000
% 0.67/0.76 % Propositional encoding time : 0.000
% 0.67/0.76 % Propositional solver time : 0.000
% 0.67/0.76 % Success case prop preproc time : 0.000
% 0.67/0.76 % Success case prop encoding time : 0.000
% 0.67/0.76 % Success case prop solver time : 0.000
% 0.67/0.76 % Current number of processed clauses : 7
% 0.67/0.76 % Positive orientable unit clauses : 1
% 0.67/0.76 % Positive unorientable unit clauses: 0
% 0.67/0.76 % Negative unit clauses : 3
% 0.67/0.76 % Non-unit-clauses : 3
% 0.67/0.76 % Current number of unprocessed clauses: 0
% 0.67/0.76 % ...number of literals in the above : 0
% 0.67/0.76 % Current number of archived formulas : 0
% 0.67/0.76 % Current number of archived clauses : 0
% 0.67/0.76 % Clause-clause subsumption calls (NU) : 1
% 0.67/0.76 % Rec. Clause-clause subsumption calls : 1
% 0.67/0.76 % Non-unit clause-clause subsumptions : 0
% 0.67/0.76 % Unit Clause-clause subsumption calls : 1
% 0.67/0.76 % Rewrite failures with RHS unbound : 0
% 0.67/0.76 % BW rewrite match attempts : 0
% 0.67/0.76 % BW rewrite match successes : 0
% 0.67/0.76 % Condensation attempts : 0
% 0.67/0.76 % Condensation successes : 0
% 0.67/0.76 % Termbank termtop insertions : 938
% 0.67/0.76 % Search garbage collected termcells : 245
% 0.67/0.76
% 0.67/0.76 % -------------------------------------------------
% 0.67/0.76 % User time : 0.004 s
% 0.67/0.76 % System time : 0.002 s
% 0.67/0.76 % Total time : 0.006 s
% 0.67/0.76 % Maximum resident set size: 3636 pages
% 0.67/0.76
% 0.67/0.76 % -------------------------------------------------
% 0.67/0.76 % User time : 0.010 s
% 0.67/0.76 % System time : 0.008 s
% 0.67/0.76 % Total time : 0.018 s
% 0.67/0.76 % Maximum resident set size: 4864 pages
% 0.67/0.76 % E exiting
%------------------------------------------------------------------------------