%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV429^1 : TPTP v9.3.1. Released v5.2.0.
% 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 08:35:30 AM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 11 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 5 ~; 2 |; 0 &; 20 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 13 ( 0 ^; 11 !; 2 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
f: $i > $i ).
thf(decl_24,type,
esk1_1: ( $i > $i ) > $i ).
thf(decl_25,type,
esk2_1: $i > $i ).
thf(invexists,conjecture,
? [X3: $i > $i] :
! [X1: $i] :
( ( X3 @ ( f @ X1 ) )
= X1 ),
file('/export/starexec/sandbox/tmp/tmp.6YUhEPRSmm/E---3.1_1209386.p',invexists) ).
thf(finj,axiom,
! [X1: $i,X2: $i] :
( ( ( f @ X1 )
= ( f @ X2 ) )
=> ( X1 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.6YUhEPRSmm/E---3.1_1209386.p',finj) ).
thf(c_0_2,negated_conjecture,
~ ? [X3: $i > $i] :
! [X1: $i] :
( ( X3 @ ( f @ X1 ) )
= X1 ),
inference(assume_negation,[status(cth)],[invexists]) ).
thf(c_0_3,plain,
! [X10: $i,X11: $i] :
( ( ( f @ X10 )
!= ( f @ X11 ) )
| ( X10 = X11 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finj])])]) ).
thf(c_0_4,negated_conjecture,
! [X8: $i > $i] :
( ( X8 @ ( f @ ( esk1_1 @ X8 ) ) )
!= ( esk1_1 @ X8 ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
thf(c_0_5,plain,
! [X1: $i,X2: $i] :
( ( X1 = X2 )
| ( ( f @ X1 )
!= ( f @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X3: $i > $i] :
( ( X3 @ ( f @ ( esk1_1 @ X3 ) ) )
!= ( esk1_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
! [X1: $i] :
( ( esk2_1 @ ( f @ X1 ) )
= X1 ),
inference(recognize_injectivity,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_6,c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV429^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n020.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 15:48:04 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 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.6YUhEPRSmm/E---3.1_1209386.p
% 0.09/0.26 % Version: 3.5.1-ho
% 0.09/0.26 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.09/0.26 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.26 % Starting post_as_ho12 with 300s (1) cores
% 0.09/0.26 % Starting new_bool_9 with 300s (1) cores
% 0.09/0.26 % Starting post_as_ho1 with 300s (1) cores
% 0.09/0.26 % Starting post_as_ho4 with 300s (1) cores
% 0.09/0.26 % Starting post_as_ho2 with 300s (1) cores
% 0.09/0.26 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.09/0.26 % Starting full_lambda_10 with 300s (1) cores
% 0.09/0.26 % Starting new_ho_8 with 300s (1) cores
% 0.09/0.26 % new_bool_9 with pid 1209412 completed with status 0
% 0.09/0.26 % Result found by new_bool_9
% 0.09/0.26 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.09/0.26 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.26 % Starting post_as_ho12 with 300s (1) cores
% 0.09/0.26 % Starting new_bool_9 with 300s (1) cores
% 0.09/0.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 0.09/0.26 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.09/0.26 % Search class: HUUPF-FFSF11-MSSFFMNN
% 0.09/0.26 % partial match(1): HUUPF-FFSF11-SSSFFMNN
% 0.09/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.26 % SubtermCWHack with pid 1209421 completed with status 0
% 0.09/0.26 % Result found by SubtermCWHack
% 0.09/0.26 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.09/0.26 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.26 % Starting post_as_ho12 with 300s (1) cores
% 0.09/0.26 % Starting new_bool_9 with 300s (1) cores
% 0.09/0.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 0.09/0.26 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.09/0.26 % Search class: HUUPF-FFSF11-MSSFFMNN
% 0.09/0.26 % partial match(1): HUUPF-FFSF11-SSSFFMNN
% 0.09/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.26 % Preprocessing time : 0.001 s
% 0.09/0.26
% 0.09/0.26 % Proof found!
% 0.09/0.26 % SZS status Theorem
% 0.09/0.26 % SZS output start CNFRefutation
% See solution above
% 0.09/0.26 % Parsed axioms : 3
% 0.09/0.26 % Removed by relevancy pruning/SinE : 1
% 0.09/0.26 % Initial clauses : 2
% 0.09/0.26 % Removed in clause preprocessing : 0
% 0.09/0.26 % Initial clauses in saturation : 2
% 0.09/0.26 % Processed clauses : 2
% 0.09/0.26 % ...of these trivial : 0
% 0.09/0.26 % ...subsumed : 0
% 0.09/0.26 % ...remaining for further processing : 2
% 0.09/0.26 % Other redundant clauses eliminated : 0
% 0.09/0.26 % Clauses deleted for lack of memory : 0
% 0.09/0.26 % Backward-subsumed : 0
% 0.09/0.26 % Backward-rewritten : 0
% 0.09/0.26 % Generated clauses : 1
% 0.09/0.26 % ...of the previous two non-redundant : 0
% 0.09/0.26 % ...aggressively subsumed : 0
% 0.09/0.26 % Contextual simplify-reflections : 0
% 0.09/0.26 % Paramodulations : 1
% 0.09/0.26 % Factorizations : 0
% 0.09/0.26 % NegExts : 0
% 0.09/0.26 % Equation resolutions : 0
% 0.09/0.26 % Disequality decompositions : 0
% 0.09/0.26 % Total rewrite steps : 0
% 0.09/0.26 % ...of those cached : 0
% 0.09/0.26 % Propositional unsat checks : 0
% 0.09/0.26 % Propositional check models : 0
% 0.09/0.26 % Propositional check unsatisfiable : 0
% 0.09/0.26 % Propositional clauses : 0
% 0.09/0.26 % Propositional clauses after purity: 0
% 0.09/0.26 % Propositional unsat core size : 0
% 0.09/0.26 % Propositional preprocessing time : 0.000
% 0.09/0.26 % Propositional encoding time : 0.000
% 0.09/0.26 % Propositional solver time : 0.000
% 0.09/0.26 % Success case prop preproc time : 0.000
% 0.09/0.26 % Success case prop encoding time : 0.000
% 0.09/0.26 % Success case prop solver time : 0.000
% 0.09/0.26 % Current number of processed clauses : 2
% 0.09/0.26 % Positive orientable unit clauses : 1
% 0.09/0.26 % Positive unorientable unit clauses: 0
% 0.09/0.26 % Negative unit clauses : 1
% 0.09/0.26 % Non-unit-clauses : 0
% 0.09/0.26 % Current number of unprocessed clauses: 0
% 0.09/0.26 % ...number of literals in the above : 0
% 0.09/0.26 % Current number of archived formulas : 0
% 0.09/0.26 % Current number of archived clauses : 1
% 0.09/0.26 % Clause-clause subsumption calls (NU) : 0
% 0.09/0.26 % Rec. Clause-clause subsumption calls : 0
% 0.09/0.26 % Non-unit clause-clause subsumptions : 0
% 0.09/0.26 % Unit Clause-clause subsumption calls : 0
% 0.09/0.26 % Rewrite failures with RHS unbound : 0
% 0.09/0.26 % BW rewrite match attempts : 0
% 0.09/0.26 % BW rewrite match successes : 0
% 0.09/0.26 % Condensation attempts : 0
% 0.09/0.26 % Condensation successes : 0
% 0.09/0.26 % Termbank termtop insertions : 148
% 0.09/0.26 % Search garbage collected termcells : 42
% 0.09/0.26
% 0.09/0.26 % -------------------------------------------------
% 0.09/0.26 % User time : 0.003 s
% 0.09/0.26 % System time : 0.002 s
% 0.09/0.26 % Total time : 0.005 s
% 0.09/0.26 % Maximum resident set size: 3884 pages
% 0.09/0.26
% 0.09/0.26 % -------------------------------------------------
% 0.09/0.26 % User time : 0.003 s
% 0.09/0.26 % System time : 0.008 s
% 0.09/0.26 % Total time : 0.011 s
% 0.09/0.26 % Maximum resident set size: 4608 pages
% 0.09/0.26 % E exiting
%------------------------------------------------------------------------------