%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP139^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 08:05:38 AM UTC 2026
% Result : Theorem 0.40s 0.44s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 15 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 79 ( 8 ~; 7 |; 1 &; 60 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 0 ^; 13 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
paraco1605129243lle_tv: $tType ).
thf(decl_sort3,type,
set_Pa1764573435lle_tv: $tType ).
thf(decl_26,type,
inj_on772319074lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > $o ).
thf(decl_78,type,
top_to1057771083lle_tv: set_Pa1764573435lle_tv ).
thf(decl_83,type,
paraco1147068288nge_tv: ( nat > nat ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).
thf(decl_141,type,
f: nat > nat ).
thf(decl_142,type,
esk1_1: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(decl_143,type,
esk2_1: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(conj_0,conjecture,
inj_on772319074lle_tv @ ( paraco1147068288nge_tv @ f ) @ top_to1057771083lle_tv,
file('/export/starexec/sandbox/tmp/tmp.Jt1eNcB2Ue/E---3.1_2985698.p',conj_0) ).
thf(fact_0__092_060open_062_092_060And_062tv2_Atv1_O_Achange__tv_Af_Atv1_A_061_Achange__tv_Af_Atv2_A_092_060Longrightarrow_062_Atv1_A_061_Atv2_092_060close_062,axiom,
! [X1: paraco1605129243lle_tv,X2: paraco1605129243lle_tv] :
( ( ( paraco1147068288nge_tv @ f @ X1 )
= ( paraco1147068288nge_tv @ f @ X2 ) )
=> ( X1 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.Jt1eNcB2Ue/E---3.1_2985698.p',fact_0__092_060open_062_092_060And_062tv2_Atv1_O_Achange__tv_Af_Atv1_A_061_Achange__tv_Af_Atv2_A_092_060Longrightarrow_062_Atv1_A_061_Atv2_092_060close_062) ).
thf(fact_25_injI,axiom,
! [X48: paraco1605129243lle_tv > paraco1605129243lle_tv] :
( ! [X49: paraco1605129243lle_tv,X50: paraco1605129243lle_tv] :
( ( ( X48 @ X49 )
= ( X48 @ X50 ) )
=> ( X49 = X50 ) )
=> ( inj_on772319074lle_tv @ X48 @ top_to1057771083lle_tv ) ),
file('/export/starexec/sandbox/tmp/tmp.Jt1eNcB2Ue/E---3.1_2985698.p',fact_25_injI) ).
thf(c_0_3,negated_conjecture,
~ ( inj_on772319074lle_tv @ ( paraco1147068288nge_tv @ f ) @ top_to1057771083lle_tv ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_4,plain,
! [X1401: paraco1605129243lle_tv,X1402: paraco1605129243lle_tv] :
( ( ( paraco1147068288nge_tv @ f @ X1401 )
!= ( paraco1147068288nge_tv @ f @ X1402 ) )
| ( X1401 = X1402 ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0__092_060open_062_092_060And_062tv2_Atv1_O_Achange__tv_Af_Atv1_A_061_Achange__tv_Af_Atv2_A_092_060Longrightarrow_062_Atv1_A_061_Atv2_092_060close_062])]) ).
thf(c_0_5,plain,
! [X1339: paraco1605129243lle_tv > paraco1605129243lle_tv] :
( ( ( ( X1339 @ ( esk1_1 @ X1339 ) )
= ( X1339 @ ( esk2_1 @ X1339 ) ) )
| ( inj_on772319074lle_tv @ X1339 @ top_to1057771083lle_tv ) )
& ( ( ( esk1_1 @ X1339 )
!= ( esk2_1 @ X1339 ) )
| ( inj_on772319074lle_tv @ X1339 @ top_to1057771083lle_tv ) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_25_injI])])])]) ).
thf(c_0_6,negated_conjecture,
~ ( inj_on772319074lle_tv @ ( paraco1147068288nge_tv @ f ) @ top_to1057771083lle_tv ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
thf(c_0_7,plain,
! [X1: paraco1605129243lle_tv,X2: paraco1605129243lle_tv] :
( ( X1 = X2 )
| ( ( paraco1147068288nge_tv @ f @ X1 )
!= ( paraco1147068288nge_tv @ f @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_8,plain,
! [X28: paraco1605129243lle_tv > paraco1605129243lle_tv] :
( ( ( X28 @ ( esk1_1 @ X28 ) )
= ( X28 @ ( esk2_1 @ X28 ) ) )
| ( inj_on772319074lle_tv @ X28 @ top_to1057771083lle_tv ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,negated_conjecture,
~ ( inj_on772319074lle_tv @ ( paraco1147068288nge_tv @ f ) @ top_to1057771083lle_tv ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
! [X1: paraco1605129243lle_tv] :
( ( ( esk1_1 @ ( paraco1147068288nge_tv @ f ) )
= X1 )
| ( ( paraco1147068288nge_tv @ f @ ( esk2_1 @ ( paraco1147068288nge_tv @ f ) ) )
!= ( paraco1147068288nge_tv @ f @ X1 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
thf(c_0_11,plain,
! [X28: paraco1605129243lle_tv > paraco1605129243lle_tv] :
( ( inj_on772319074lle_tv @ X28 @ top_to1057771083lle_tv )
| ( ( esk1_1 @ X28 )
!= ( esk2_1 @ X28 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_12,plain,
( ( esk1_1 @ ( paraco1147068288nge_tv @ f ) )
= ( esk2_1 @ ( paraco1147068288nge_tv @ f ) ) ),
inference(er,[status(thm)],[c_0_10]) ).
thf(c_0_13,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP139^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n003.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 20:01:13 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.23/0.29 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.Jt1eNcB2Ue/E---3.1_2985698.p
% 0.40/0.44 % Version: 3.5.1-ho
% 0.40/0.44 % Preprocessing class: HSLMSMSSSSMNHSA.
% 0.40/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.44 % Starting new_ho_10 with 1500s (5) cores
% 0.40/0.44 % Starting sh5l with 300s (1) cores
% 0.40/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.40/0.44 % Starting new_bool_2 with 300s (1) cores
% 0.40/0.44 % new_bool_2 with pid 2985714 completed with status 0
% 0.40/0.44 % Result found by new_bool_2
% 0.40/0.44 % Preprocessing class: HSLMSMSSSSMNHSA.
% 0.40/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.44 % Starting new_ho_10 with 1500s (5) cores
% 0.40/0.44 % Starting sh5l with 300s (1) cores
% 0.40/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.40/0.44 % Starting new_bool_2 with 300s (1) cores
% 0.40/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.40/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.40/0.44 % Search class: HGHSM-FSLM32-DHSFFSBN
% 0.40/0.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.40/0.44 % Starting SubtermCWHack with 28s (1) cores
% 0.40/0.44 % SubtermCWHack with pid 2985715 completed with status 0
% 0.40/0.44 % Result found by SubtermCWHack
% 0.40/0.44 % Preprocessing class: HSLMSMSSSSMNHSA.
% 0.40/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.44 % Starting new_ho_10 with 1500s (5) cores
% 0.40/0.44 % Starting sh5l with 300s (1) cores
% 0.40/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.40/0.44 % Starting new_bool_2 with 300s (1) cores
% 0.40/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.40/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.40/0.44 % Search class: HGHSM-FSLM32-DHSFFSBN
% 0.40/0.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.40/0.44 % Starting SubtermCWHack with 28s (1) cores
% 0.40/0.44 % Preprocessing time : 0.005 s
% 0.40/0.44
% 0.40/0.44 % Proof found!
% 0.40/0.44 % SZS status Theorem
% 0.40/0.44 % SZS output start CNFRefutation
% See solution above
% 0.40/0.44 % Parsed axioms : 489
% 0.40/0.44 % Removed by relevancy pruning/SinE : 383
% 0.40/0.44 % Initial clauses : 192
% 0.40/0.44 % Removed in clause preprocessing : 9
% 0.40/0.44 % Initial clauses in saturation : 183
% 0.40/0.44 % Processed clauses : 642
% 0.40/0.44 % ...of these trivial : 10
% 0.40/0.44 % ...subsumed : 293
% 0.40/0.44 % ...remaining for further processing : 339
% 0.40/0.44 % Other redundant clauses eliminated : 66
% 0.40/0.44 % Clauses deleted for lack of memory : 0
% 0.40/0.44 % Backward-subsumed : 18
% 0.40/0.44 % Backward-rewritten : 8
% 0.40/0.44 % Generated clauses : 3105
% 0.40/0.44 % ...of the previous two non-redundant : 2433
% 0.40/0.44 % ...aggressively subsumed : 0
% 0.40/0.44 % Contextual simplify-reflections : 1
% 0.40/0.44 % Paramodulations : 3013
% 0.40/0.44 % Factorizations : 4
% 0.40/0.44 % NegExts : 0
% 0.40/0.44 % Equation resolutions : 79
% 0.40/0.44 % Disequality decompositions : 0
% 0.40/0.44 % Total rewrite steps : 941
% 0.40/0.44 % ...of those cached : 770
% 0.40/0.44 % Propositional unsat checks : 0
% 0.40/0.44 % Propositional check models : 0
% 0.40/0.44 % Propositional check unsatisfiable : 0
% 0.40/0.44 % Propositional clauses : 0
% 0.40/0.44 % Propositional clauses after purity: 0
% 0.40/0.44 % Propositional unsat core size : 0
% 0.40/0.44 % Propositional preprocessing time : 0.000
% 0.40/0.44 % Propositional encoding time : 0.000
% 0.40/0.44 % Propositional solver time : 0.000
% 0.40/0.44 % Success case prop preproc time : 0.000
% 0.40/0.44 % Success case prop encoding time : 0.000
% 0.40/0.44 % Success case prop solver time : 0.000
% 0.40/0.44 % Current number of processed clauses : 292
% 0.40/0.44 % Positive orientable unit clauses : 19
% 0.40/0.44 % Positive unorientable unit clauses: 0
% 0.40/0.44 % Negative unit clauses : 3
% 0.40/0.44 % Non-unit-clauses : 270
% 0.40/0.44 % Current number of unprocessed clauses: 1932
% 0.40/0.44 % ...number of literals in the above : 6768
% 0.40/0.44 % Current number of archived formulas : 0
% 0.40/0.44 % Current number of archived clauses : 28
% 0.40/0.44 % Clause-clause subsumption calls (NU) : 9528
% 0.40/0.44 % Rec. Clause-clause subsumption calls : 8093
% 0.40/0.44 % Non-unit clause-clause subsumptions : 295
% 0.40/0.44 % Unit Clause-clause subsumption calls : 300
% 0.40/0.44 % Rewrite failures with RHS unbound : 0
% 0.40/0.44 % BW rewrite match attempts : 19
% 0.40/0.44 % BW rewrite match successes : 8
% 0.40/0.44 % Condensation attempts : 0
% 0.40/0.44 % Condensation successes : 0
% 0.40/0.44 % Termbank termtop insertions : 64075
% 0.40/0.44 % Search garbage collected termcells : 7671
% 0.40/0.44
% 0.40/0.44 % -------------------------------------------------
% 0.40/0.44 % User time : 0.100 s
% 0.40/0.44 % System time : 0.010 s
% 0.40/0.44 % Total time : 0.110 s
% 0.40/0.44 % Maximum resident set size: 5652 pages
% 0.40/0.44
% 0.40/0.44 % -------------------------------------------------
% 0.40/0.44 % User time : 0.117 s
% 0.40/0.44 % System time : 0.017 s
% 0.40/0.44 % Total time : 0.133 s
% 0.40/0.44 % Maximum resident set size: 6144 pages
% 0.40/0.44 % E exiting
%------------------------------------------------------------------------------