%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET017^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 08:21:51 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 35 equ; 0 cnn)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 42 ( 10 ~; 16 |; 4 &; 8 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 4 con; 0-3 aty)
% Number of variables : 19 ( 6 ^; 13 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_26,type,
unord_pair: $i > $i > $i > $o ).
thf(decl_37,type,
esk1_0: $i ).
thf(decl_38,type,
esk2_0: $i ).
thf(decl_39,type,
esk3_0: $i ).
thf(thm,conjecture,
! [X1: $i,X3: $i,X22: $i] :
( ( ( unord_pair @ X1 @ X3 )
= ( unord_pair @ X1 @ X22 ) )
=> ( X3 = X22 ) ),
file('/export/starexec/sandbox/tmp/tmp.MxzLVzlv93/E---3.1_355213.p',thm) ).
thf(unord_pair,axiom,
( unord_pair
= ( ^ [X1: $i,X3: $i,X4: $i] :
( ( X4 = X1 )
| ( X4 = X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.MxzLVzlv93/E---3.1_355213.p',unord_pair) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: $i,X3: $i,X22: $i] :
( ( ( unord_pair @ X1 @ X3 )
= ( unord_pair @ X1 @ X22 ) )
=> ( X3 = X22 ) ),
inference(assume_negation,[status(cth)],[thm]) ).
thf(c_0_3,plain,
( unord_pair
= ( ^ [Z0: $i,Z1: $i,Z2: $i] :
( ( Z2 = Z0 )
| Z2 ) ) ),
inference(fof_simplification,[status(thm)],[unord_pair]) ).
thf(c_0_4,negated_conjecture,
~ ! [X1: $i,X3: $i,X22: $i] :
( ! [X26: $i] :
( ( ( X26 = X1 )
| ( X26 = X3 ) )
<=> ( ( X26 = X1 )
| ( X26 = X22 ) ) )
=> ( X3 = X22 ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[c_0_2,c_0_3])]) ).
thf(c_0_5,negated_conjecture,
! [X30: $i] :
( ( ( X30 != esk1_0 )
| ( X30 = esk1_0 )
| ( X30 = esk3_0 ) )
& ( ( X30 != esk2_0 )
| ( X30 = esk1_0 )
| ( X30 = esk3_0 ) )
& ( ( X30 != esk1_0 )
| ( X30 = esk1_0 )
| ( X30 = esk2_0 ) )
& ( ( X30 != esk3_0 )
| ( X30 = esk1_0 )
| ( X30 = esk2_0 ) )
& ( esk2_0 != esk3_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_4])])])])])]) ).
thf(c_0_6,negated_conjecture,
! [X1: $i] :
( ( X1 = esk1_0 )
| ( X1 = esk2_0 )
| ( X1 != esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_7,negated_conjecture,
esk2_0 != esk3_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
! [X1: $i] :
( ( X1 = esk1_0 )
| ( X1 = esk3_0 )
| ( X1 != esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,negated_conjecture,
esk1_0 = esk3_0,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_6]),c_0_7]) ).
thf(c_0_10,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])])]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET017^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n016.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 13:40:19 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.MxzLVzlv93/E---3.1_355213.p
% 0.08/0.26 % Version: 3.5.1-ho
% 0.08/0.26 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.08/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.26 % Starting new_ho_9 with 1500s (5) cores
% 0.08/0.26 % Starting post_as_ho1 with 300s (1) cores
% 0.08/0.26 % Starting sh1l with 300s (1) cores
% 0.08/0.26 % Starting post_as_ho10 with 300s (1) cores
% 0.08/0.26 % new_ho_9 with pid 355247 completed with status 0
% 0.08/0.26 % Result found by new_ho_9
% 0.08/0.26 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.08/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.26 % Starting new_ho_9 with 1500s (5) cores
% 0.08/0.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.26 % No SInE strategy applied
% 0.08/0.26 % Search class: HGUPF-FFSF00-SHSSMFNN
% 0.08/0.26 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.26 % Starting SubtermCWHack with 136s (1) cores
% 0.08/0.26 % Starting new_ho_9 with 151s (1) cores
% 0.08/0.26 % Starting sh5l with 136s (1) cores
% 0.08/0.26 % Starting new_bool_1 with 136s (1) cores
% 0.08/0.26 % Starting new_bool_2 with 136s (1) cores
% 0.08/0.26 % sh5l with pid 355254 completed with status 0
% 0.08/0.26 % Result found by sh5l
% 0.08/0.26 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.08/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.26 % Starting new_ho_9 with 1500s (5) cores
% 0.08/0.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.26 % No SInE strategy applied
% 0.08/0.26 % Search class: HGUPF-FFSF00-SHSSMFNN
% 0.08/0.26 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.26 % Starting SubtermCWHack with 136s (1) cores
% 0.08/0.26 % Starting new_ho_9 with 151s (1) cores
% 0.08/0.26 % Starting sh5l with 136s (1) cores
% 0.08/0.26 % Preprocessing time : 0.001 s
% 0.08/0.26 % Presaturation interreduction done
% 0.08/0.26
% 0.08/0.26 % Proof found!
% 0.08/0.26 % SZS status Theorem
% 0.08/0.26 % SZS output start CNFRefutation
% See solution above
% 0.08/0.26 % Parsed axioms : 29
% 0.08/0.26 % Removed by relevancy pruning/SinE : 0
% 0.08/0.26 % Initial clauses : 19
% 0.08/0.26 % Removed in clause preprocessing : 16
% 0.08/0.26 % Initial clauses in saturation : 3
% 0.08/0.26 % Processed clauses : 4
% 0.08/0.26 % ...of these trivial : 0
% 0.08/0.26 % ...subsumed : 0
% 0.08/0.26 % ...remaining for further processing : 4
% 0.08/0.26 % Other redundant clauses eliminated : 2
% 0.08/0.26 % Clauses deleted for lack of memory : 0
% 0.08/0.26 % Backward-subsumed : 0
% 0.08/0.26 % Backward-rewritten : 0
% 0.08/0.26 % Generated clauses : 2
% 0.08/0.26 % ...of the previous two non-redundant : 1
% 0.08/0.26 % ...aggressively subsumed : 0
% 0.08/0.26 % Contextual simplify-reflections : 0
% 0.08/0.26 % Paramodulations : 0
% 0.08/0.26 % Factorizations : 0
% 0.08/0.26 % NegExts : 0
% 0.08/0.26 % Equation resolutions : 2
% 0.08/0.26 % Disequality decompositions : 0
% 0.08/0.26 % Total rewrite steps : 1
% 0.08/0.26 % ...of those cached : 0
% 0.08/0.26 % Propositional unsat checks : 0
% 0.08/0.26 % Propositional check models : 0
% 0.08/0.26 % Propositional check unsatisfiable : 0
% 0.08/0.26 % Propositional clauses : 0
% 0.08/0.26 % Propositional clauses after purity: 0
% 0.08/0.26 % Propositional unsat core size : 0
% 0.08/0.26 % Propositional preprocessing time : 0.000
% 0.08/0.26 % Propositional encoding time : 0.000
% 0.08/0.26 % Propositional solver time : 0.000
% 0.08/0.26 % Success case prop preproc time : 0.000
% 0.08/0.26 % Success case prop encoding time : 0.000
% 0.08/0.26 % Success case prop solver time : 0.000
% 0.08/0.26 % Current number of processed clauses : 2
% 0.08/0.26 % Positive orientable unit clauses : 1
% 0.08/0.26 % Positive unorientable unit clauses: 0
% 0.08/0.26 % Negative unit clauses : 1
% 0.08/0.26 % Non-unit-clauses : 0
% 0.08/0.26 % Current number of unprocessed clauses: 0
% 0.08/0.26 % ...number of literals in the above : 0
% 0.08/0.26 % Current number of archived formulas : 0
% 0.08/0.26 % Current number of archived clauses : 0
% 0.08/0.26 % Clause-clause subsumption calls (NU) : 0
% 0.08/0.26 % Rec. Clause-clause subsumption calls : 0
% 0.08/0.26 % Non-unit clause-clause subsumptions : 0
% 0.08/0.26 % Unit Clause-clause subsumption calls : 0
% 0.08/0.26 % Rewrite failures with RHS unbound : 0
% 0.08/0.26 % BW rewrite match attempts : 0
% 0.08/0.26 % BW rewrite match successes : 0
% 0.08/0.26 % Condensation attempts : 4
% 0.08/0.26 % Condensation successes : 0
% 0.08/0.26 % Termbank termtop insertions : 899
% 0.08/0.26 % Search garbage collected termcells : 136
% 0.08/0.26
% 0.08/0.26 % -------------------------------------------------
% 0.08/0.26 % User time : 0.001 s
% 0.08/0.26 % System time : 0.003 s
% 0.08/0.26 % Total time : 0.004 s
% 0.08/0.26 % Maximum resident set size: 3656 pages
% 0.08/0.26
% 0.08/0.26 % -------------------------------------------------
% 0.08/0.26 % User time : 0.009 s
% 0.08/0.26 % System time : 0.007 s
% 0.08/0.26 % Total time : 0.016 s
% 0.08/0.26 % Maximum resident set size: 4864 pages
% 0.08/0.26 % E exiting
%------------------------------------------------------------------------------